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Alphashapes (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 15542 ($19.95).
Classification rules as well as properties of geometric figures and angle measurements can be explored using this versatile geometric resource. Each polygon is lettered and each angle is numbered. These transparent manipulatives can also be used for overhead demonstrations.
An included teacher’s guide suggests numerous methods for incorporating alphashapes into mathematical lessons.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry; Measurement
Other Use: Mathematics: Middle Level
Amanda Bean's Amazing Dream: A Mathematical Story (Print-Fiction). Neuschwander, Cindy, Burns, Marilyn and Woodruff, Liza, illus. Scholastic Inc. (SES), 1998. unp. ISBN 0-590-30012-1 ($25.95 hdc.).
Amanda Bean is a young girl that merrily counts anything and everything. Bean Counter, as her friends lovingly call her, encounters several counting dilemmas due to her reluctance to multiply. Her struggle to count faster consumes her daily life and eventually her dreams. After an amazing dream presents an overwhelming counting challenge, the young girl realizes that multiplication is an efficient method for counting sets and arrays of objects. The humourous pen-and-ink illustrations pose endless opportunities to develop multiplication concepts. Marilyn Burns supplements this engaging resource by providing teaching suggestions and ideas for extending the story.
Suggested Use: Grade 2; Grade 3; Grade 4; Numbers and Operations
Attribute Blocks (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 03919 ($21.95).
This manipulative set contains 60 plastic blocks that vary in geometric shape, thickness, colour and size. The variety of attributes makes these blocks a unique manipulative for completing linear and open-ended patterns, identifying and classifying planar figures and discovering number and equivalence relationships. An included teacher’s guide outlines investigations involving the use of these attribute blocks.
Suggested Use: Grade 1; Grade 2; Grade 3; Geometry; Numbers and Operations; Problem Solving
Other Use: Kindergarten
The Best of Times: Math Strategies That Multiply (Print-Fiction). Tang, Greg and Briggs, Harry, illus. Scholastic Inc. (SCH), 2002. unp. ISBN 0-439-21044-5 ($24.99 hdc.).
Delightful poems and playful illustrations are combined in this literature selection to highlight strategies for multiplying numbers from zero to 10. The text provides strategies for reasoning products, using repeated doubling, annexing zeros, skip counting and the properties of one and zero. The computer-generated illustrations of animals in hilarious situations help convey and clarify concepts. This resource develops a firm understanding of multiplication rather than a repetition and memorization approach.
Suggested Use: Grade 3; Grade 4; Grade 5; Numbers and Operations
Can You Count to a Googol? (Print-Fiction). Wells, Robert E. Albert Whitman & Co. (FHW), 2000. unp. ISBN 0-8075-1060-2 ($23.95 hdc.). ISBN 0-8075-1061-0 ($10.95 pbk.)
Fascination with large numbers is explored in this informative counting book. The text begins with one and increases by powers of 10 to a googol, the number represented by one followed by 100 zeros. Each new number is represented by ink-and-acrylic illustrations of familiar objects that will help students visualize big numbers. The author includes a brief history of the googol. This resource develops understanding of place value positions and mentally calculating products by annexing zeros. Please note that the text contains some Imperial measurements, but this is not a limiting factor.
Suggested Use: Grade 3; Grade 4; Grade 5; Numbers and Operations
Canadian Bills and Coins (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 2372 ($13.98).
(CAN) This 200-piece set includes a variety of Canadian bills and coins. The 140 coins are a combination of pennies, nickels, dimes, quarters, one-dollar coins and two-dollar coins. The 60 bills are in denominations of 5, 10 and 20 dollars. This set can be used to develop various measurement concepts including identification of coins and bills, counting with money, making change and understanding coin equivalence.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Measurement
Other Use: Mathematics: Middle Level
Classpack Tangrams (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 5303 ($42.93).
This set of 30 tangrams in four assorted colours can be used to develop fractional relationships and problem-solving skills in geometry. This Chinese puzzle is comprised of seven tangram pieces that can be arranged into a large square: two large isosceles right triangles, a medium isosceles right triangle, two small isosceles right triangles, a square and a parallelogram.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Geometry; Measurement; Numbers and Operations
Other Use: Mathematics: Middle Level
Clear Rocker Balance (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 2323 ($28.95).
This rocker balance is ideal for investigations involving measuring mass or capacity. This balance features two detachable one litre buckets marked with clear graduations in 100 mL increments and moulded pouring spouts. Students can estimate, analyze and measure objects or liquids using non-standard or standard units with this versatile balance.
Suggested Use: Grade 1; Grade 2; Grade 3; Measurement
Other Use: Kindergarten
Clear-View Base 10 Material: Starter Set (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 19356 ($51.95).
This set of transparent base 10 material allows teachers to demonstrate mathematical concepts using the overhead projector. These red and blue manipulatives can be interlocked to build number sentences or model place value positions. This manipulative set includes 20 flats, 50 rods, 100 unit cubes, one place value mat and a teacher’s guide.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Numbers and Operations
Other Use: Mathematics: Middle Level
Clear-View Geoboard (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 11666 ($3.95).
Investigations in geometric concepts including symmetry, congruency and line segments can be demonstrated using this clear geoboard. The five-by-five pin array clearly displays constructed geometric figures on the overhead projector.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Geometry; Measurement
A Cloak for the Dreamer (Print-Fiction). Friedman, Aileen and Howard, Kim, illus. (Marilyn Burns Brainy Day Book Series). Scholastic Inc. (SES), 1994. unp. ISBN 0-590-48987-9 ($25.95 hdc.).
A tailor summons his three sons to each create a cloak that will protect the wearer from the elements. The three sons employ different design elements as they each attempt to fulfill the Archduke’s request. Two of the sons fashion their cloaks from tessellating planar figures. The third son, the dreamer, creates a cloak using only circular pieces of cloth. The father employs geometric ingenuity to repair the holes in the third son’s cloak. This resource also includes explanations of the mathematics underlying the story and extending activities.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry
Clock Dials (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 5730 ($12.37).
This set of durable clock faces is useful for teaching time on analog clocks. The moveable plastic hands display hours and minutes.
Suggested Use: Grade 1; Grade 2; Grade 3; Measurement
Colour Tiles (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 11966 ($15.95).
This 400-piece set is comprised of four different colours. The plastic tiles are an excellent manipulative to assist students in building a mental representation of concepts in geometry, measurement and probability. Middle Level students can also use the tiles to explore algebraic thinking and rational numbers.
An included teacher’s guide provides sample activities.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Geometry; Measurement; Numbers and Operations
Other Use: Mathematics: Middle Level
Cube-a-Link (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 0500 ($39.06).
A multitude of mathematical concepts can be developed using this set of interlocking cubes. Connectable at six sides, these linking cubes can be used to develop spatial awareness, calculate surface area and form operational skills.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Geometry; Measurement; Numbers and Operations
Other Use: Kindergarten; Mathematics: Middle Level
Cuisenaire Rods Small Group Set (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 6467 ($28.48).
This versatile manipulative set includes 155 wooden rectangular rods with 10 varying lengths corresponding to 10 different colours. After a value is assigned to a rod colour, students can explore the whole number and fractional relationships between the rods. At the Middle Level, the rods can also be used to explore concepts in measurement, ratio and proportion and geometry.
Suggested Use: Grade 2; Grade 3; Grade 4; Grade 5; Measurement; Numbers and Operations
Other Use: Mathematics: Middle Level
Deluxe Combo Balance (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 5601 ($34.95).
This sturdy balance is a valuable tool for explorations in mass, volume and capacity. This versatile manipulative allows students to compare the measurements of various objects and liquids using the pans, the graduated one-litre buckets or a combination of these two features. The weight storage compartments house the included 14 stackable plastic weights and 11 metal weights.
Suggested Use: Grade 2; Grade 3; Grade 4; Grade 5; Measurement
Dice Kit (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 3453 ($47.58).
This set contains a variety of twenty-, twelve-, ten-, eight-, six- and four-sided dice. These number cubes are an invaluable resource for games and investigations involving number concepts and operations, data generating and analysis, integers and probability.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Data Management and Analysis; Numbers and Operations
Other Use: Mathematics: Middle Level; Mathematics 10, 20; Mathematics: A30, B30, C30
Double-Nine Dominoes (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 5351 ($15.26).
This wooden set of dominoes can be used with activities involving number relationships and equations.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Numbers and Operations
Double-Sided Geoboard (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 2912 ($4.68).
Investigations in geometric concepts such as symmetry, congruency and lines can be enhanced using this sturdy plastic geoboard. Using the side with five-by-five pin array, students can discover the relationship between area and perimeter and the similarity and differences between geometric figures. The 24-pin circular arrangement on the other side provides a concrete visualization of fractional numbers and angle measurements. The geoboards are stackable and have thick pegs to allow students to alter and change figures quickly and easily.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Geometry; Measurement
D-Stix (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 1540 ($32.51).
D-Stixs are hollow plastic sticks with joiners that allow construction of simple and complex geometric structures. The colour-coded rods and the multipronged joiners connect to form two-dimensional figures and three-dimensional objects.
An included instruction sheet outlines the steps for creating numerous geometric constructions.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry
Other Use: Mathematics: Middle Level
Economy Thermometer (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 09558 ($1.15).
This thermometer can be used in a variety of measurement investigations. The ability to use this thermometer both indoors and outdoors allows for further comparison of temperatures. This thermometer is filled with red alcohol and indicates temperatures ranging from 50 degrees Celsius to -60 degrees Celsius.
Suggested Use: Grade 2; Grade 3; Grade 4; Grade 5; Measurement
Five-Colour Counters (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 41528 ($4.75).
These transparent counters are useful for demonstrating activities involving 100 boards, sorting and counting. At the Middle Level, these counters can also be used to build understanding in fractions and probability.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Data Management and Analysis; Numbers and Operations
Other Use: Mathematics: Middle Level
Five Creatures (Print-Fiction). Jenkins, Emily and Bogacki, Tomek, illus. Farrar, Straus & Giroux, Inc. (UTP), 2001. unp. ISBN 0-374-32341-0 ($26.95 hdc.).
This picture book has endless classroom possibilities. A young girl tells about the three humans and two cats that live in her house. She describes these inhabitants in different ways by classifying them according to a variety of attributes. The pastel illustrations help to create a portrait of a warm and loving family. Teachers will find this a valuable accompaniment when teaching grouping, classifying and Venn diagrams. Children will simply enjoy the book for the good story that it is.
Suggested Use: Grade 2; Grade 3; Data Management and Analysis
Other Use: English Language Arts: Elementary Level; Kindergarten
Fraction Blocks (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 4806 ($21.82).
These fraction blocks provide a continuous model for introducing and exploring fraction concepts with denominators of two, three, four, six and twelve. Manipulation of the blocks allows students to compare the size of fractions, order fractions and solve problems involving addition and subtraction of fractions. These pink and black pieces can be used in conjuction with pattern blocks.
Suggested Use: Grade 4; Grade 5; Numbers and Operations
Other Use: Mathematics: Middle Level
Geometry, Grades 3-4 (Print-Non-Fiction). Rectanus, Cheryl. (Math by All Means Series). Math Solutions Publications (PRN), 1994. 148 p. ISBN 0-941355-10-1 ($40.50 pbk.).
This resource presents an exploration of geometric concepts by sorting, classifying, combining, drawing and describing shapes. The lessons are written in narrative style, providing teachers with sample questions, discussion ideas, examples of students’ work, suggestions for incorporating literature and assessment ideas. Each section includes whole-class lessons that introduce and develop geometry concepts and menu activities designed to enhance student understanding.
Suggested Use: Grade 3; Grade 4; Geometry; Teacher Reference
The Giant Jam Sandwich (Print-Fiction). Lord, John Vernon and Burroway, Janet. Macmillan Children's Bk. Group (FEN), 1988. unp. ISBN 0-330-30354-6 ($9.99 pbk.).
A swarm of aggravating wasps invades the village of Itching Down and threatens to ruin the villagers’ summer. To combat this affliction, the residents combine their efforts to create a giant strawberry jam sandwich. Peace is restored when the
4 000 000 wasps become trapped within the villager’s clever invention. This hilarious tale, with its rhyming couplets and intricate illustrations, lends itself to many measurement explorations.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Measurement; Numbers and Operations
Good Questions for Math Teaching: Why Ask Them and What to Ask, K-6 (Print-Non-Fiction). Sullivan, Peter and Lilburn, Pat. Math Solutions Publications (PRN), 2002. 103 p. ISBN 0-941355-51-9 ($22.95 pbk.).
The definition and formulation of open-ended mathematical questions are explored in this useful resource. The first section describes the dynamic effect that higher level questions can have upon students’ ability to think and reason critically. The second section includes a large selection of good questions for each of the strands. Each sample question is supplemented with notes to guide teachers in ascertaining if students understand the presented concept.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Data Management and Analysis; Geometry; Measurement; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Kindergarten; Mathematics: Middle Level
The Grapes of Math: Mind-Stretching Math Riddles (Print-Non-Fiction). Tang, Greg and Briggs, Harry, illus. Scholastic Inc. (SCH), 2001. unp. ISBN 0-439-21033-X ($22.99 hdc.).
Cleverly disguised mathematics riddles are presented in this valuable resource. The lively rhyming verses and accompanying colourful illustrations present mental addition strategies through patterns and combinations of numbers. Students are challenged to seek the solutions to the riddles using problem solving and critical thinking skills. The solutions to the puzzles and addition strategies are provided in the resource’s appendix.
Suggested Use: Grade 2; Grade 3; Grade 4; Numbers and Operations; Problem Solving
Graphing From A to Z (Print-Non-Fiction). DeVault, Laurie. Fearon Teaching Aids (MON), 2001. 144 p. ISBN 0-7682-0475-5 ($25.95 pbk.).
This resource provides numerous opportunities for integrating data management and analysis into many areas of study. Graphing lessons for each letter of the alphabet engage students in organizing and interpreting data with familiar objects: the number of buttons on their clothes, their favourite type of pizza and comparing shoe sizes. A variety of formats are suggested for students to display their data. This resource includes a table of contents, graphing templates, a parent letter and related print and electronic resources.
Suggested Use: Grade 1; Grade 2; Data Management and Analysis; Teacher Reference
Other Use: Kindergarten
The Greedy Triangle (Print-Fiction). Burns, Marilyn and Silveria, Gordon, illus. (Marilyn Burns Brainy Day Book Series). Scholastic Inc. (SCH), 1994. unp. ISBN 0-590-48991-7 ($22.99 hdc.).
A bored triangle laments his dissatisfaction with the attributes of his figure. The local shapeshifter changes the triangle into a quadrilateral. The addition of a side and an angle does not satisfy the polygon for long. In his quest for happiness, additional sides and angles are continually added until a disastrous event occurs. The polygon then realizes that his original shape is best suited for him. The bold illustrations depict attributes of various polygons. The appended notes detail the geometric concepts underlying the story and suggest activities to extend the story.
Suggested Use: Grade 2; Grade 3; Grade 4; Grade 5; Geometry
Group Six Caddy Kit: Grades 1-6 (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 4128 ($93.46).
These base 10 materials build students’ understanding of place value, operations and decimal fractions. The combo-mats allow for the visualization of one- to four-digit numbers. This set includes six combo-mats, three decimetre cubes, 30 flats, 90 rods and 500 units.
An included teacher’s guide describes problem-solving activities that incorporate these base ten materials.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Numbers and Operations
Other Use: Mathematics: Middle Level
Group Solutions, Too!: More Cooperative Logic Activities for Grades K-4 (Print-Non-Fiction). Goodman, Jan M. and Kopp, Jaine. (GEMS Teacher's Guides Series). Lawrence Hall of Science #5200 (SES), 1997. 216 p. ISBN 0-912511-38-9 ($31.95 coil-bound).
This long-awaited sequel to Group Solutions features 70 reproducible puzzles to be solved in a cooperative learning environment. The problem-solving activities focus on geometry concepts. Students are provided with clues in which they must apply spatial and planar understandings to eliminate possible solutions and determine the correct solution. Tips for teachers, suggestions for assessment and literature connections are included in this resource.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Geometry; Numbers and Operations; Teacher Reference
Other Use: Kindergarten
How Much Is a Million? (Video). Schwartz, David M. and Kellogg, Steven, illus. Weston Woods (MGR), 2000. 10 min. Dup. order no. V808. Program Guide - Order no. G808 ($1.19 loose-leaf).
This amusing and delightfully animated program gives numerous examples to help students understand the relative “largeness” of numbers such as a 1 000 000, a 1 000 000 000, and a 1 000 000 000 000. The examples given involve things relevant to young students. The program also encourages students to compare quantities. It is based on the book by David Schwartz, illustrated by Steven Kellogg.
A program guide is available from Media Group. The program guide can also be obtained at the following address: http://videodb.mg.sk.ca/index.html.
Suggested Use: Grade 1; Grade 2; Grade 3; Numbers and Operations
Other Use: English Language Arts: Elementary Level; Kindergarten
Hundreds Board (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 14500 ($28.95).
This set includes 10 boards, 100 numbered and 25 blank plastic tiles and a teacher’s guide. Students can manipulate the boards to enhance number patterning, place value and operational skills. At the Middle Level, the boards are very useful for teaching the concept of percent.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Numbers and Operations; Problem Solving
Other Use: Kindergarten; Mathematics: Middle Level
Hundreds Pocket Chart (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 3294 ($25.46).
Number patterns, place value and operational skills can be demonstrated using this large nylon chart. The double-sided numerals and operation cards can be used to develop problem-solving activities.
Suggested Use: Grade 1; Grade 2; Grade 3; Numbers and Operations; Problem Solving
Other Use: Kindergarten
If the World Were a Village: A Book About the World's People (Print-Non-Fiction). Smith, David J. and Armstrong, Shelagh, illus. Kids Can Press (UTP), 2002. 32 p. ISBN 1-55074-779-7 ($12.76 hdc.).
(CAN) This resource invites the readers to imagine the world as a village of 100 people. Each two-page spread compares the villagers using quantitative data on their religion, language, nationality, population growth and access to resources. The statistics challenge the reader to analyze the numerical comparisons and relate the findings to a more global perspective. This resource includes activities, thought-provoking questions and sources for the calculations.
Suggested Use: Grade 4; Grade 5; Data Management and Analysis
Other Use: Mathematics: Middle Level; Social Studies: Elementary Level; Social Studies: Grade 6; Social Studies: Grades 7-9; Social Studies 10/History 10; Social Studies 20/History 20
Initiative: Multicultural Content and Perspectives
If You Hopped Like a Frog (Print-Fiction). Schwartz, David M. and Warhola, James, illus. Scholastic Inc. (SCH), 1999. unp. ISBN 0-590-09857-8 ($22.99 hdc.).
In this hilarious literature selection, readers learn about the amazing abilities of animals. Vivid and exaggerated illustrations apply these ratios proportionally to the bodies of human beings. Readers will be amazed to discover the strength of a mighty ant, the ferocious appetite of a shrew, and their rapid growth rate in the first nine months before birth. Each comparison is explained in greater detail in the appendix. The author of How Much Is a Million? and G Is for Googol has again created a engaging mathematical resource that develops critical and creative thinking skills.
This title is also available in video format (see the following annotation).
Suggested Use: Grade 3; Grade 4; Grade 5; Numbers and Operations
Other Use: English Language Arts: Elementary Level; English Language Arts: Grades 6 to 9; Kindergarten; Mathematics: Middle Level
If You Hopped Like a Frog (Video). (Heroes Read Series). Kern County Superintendent of Schools (MGR), 1999. 13 min. Dup. order no. V3216. Teacher’s Guide for series - Order no. G3204 ($16.50 pbk.).
Author David Schwartz combines his interest in math concepts and science facts with his strong belief that books are the best way to open up worlds of excitement for young readers. Schwartz delights in presenting the feats of frogs, tree shrews and spiders, among others, in comparison to human capabilities. The interview with the author supports the utilization of math in daily life, cross-curriculum learning, and how to enjoy mathematics and science.
This title is also available in print format (see previous annotation).
A teacher’s guide for this series is available from Media Group.
Suggested Use: Grade 3; Grade 4; Grade 5
Other Use: English Language Arts: Elementary Level (see Heroes Read Series); Kindergarten (see Heroes Read Series); Mathematics: Middle Level (Heroes Read Series); Mathematics: Secondary Level.
Interlocking 1 cm/1 g Cubes (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 04818 ($39.95).
This multipurpose set of cubes can be used with balance activities in which students can compare and measure the masses of objects using standard units. These cubes are supplied in 10 different colours and can be stacked for easier manipulation.
Suggested Use: Grade 4; Grade 5; Measurement
Other Use: Mathematics: Middle Level
The King's Chessboard (Print-Fiction). Birch, David. Dial Bks. for Young Readers (CDS), 1988. unp. ISBN 0-14-054880-7 ($7.99 pbk.).
Geometric progressions are explored in this resource as a vain king insists that a wise man accept a reward for his service. The man reluctantly requests a daily payment of rice that is to be doubled for each square of the chessboard. The unwitting monarch grants the request and subsequently drains the royal granaries of its rice supply. The simple watercolour illustrations amplify the king’s anguish as he realizes the folly of his decision and his eventual concession that pride can make a fool of oneself. This resource parallels the mathematical premise of Demi’s One Grain of Rice: A Mathematical Folktale and McKibbon’s The Token Gift.
Suggested Use: Grade 3; Grade 4; Grade 5; Numbers and Operations
The King's Commissioners (Print-Fiction). Friedman, Aileen and Guevara, Susan, illus. (Marilyn Burns Brainy Day Book Series). Scholastic Inc. (SES), 1994. unp. ISBN 0-590-48990-9 ($21.95 pbk.).
A frustrated king wishes to determine the number of royal commissioners in his kingdom. He enlists the assistance of two advisors to help him count and recount the number of commissioners as they enter the room. The advisors present two different strategies for tallying the number of commissioners catapulting the monarch into a state of confusion and annoyance. It is the cleverness of his daughter that convinces her father that each of his trusted advisors’ tally marks accurately represent the 47 commissioners. The acrylic illustrations provide a humourous accompaniment to the text and cleverly display examples of how numbers are involved in our everyday life. An appended section details the mathematics underlying the story and extending discussion suggestions. This amusing resource will stimulate discussion of place value concepts and calculation strategies as students investigate the different methods employed by the royal advisors.
Suggested Use: Grade 3; Grade 4; Grade 5; Numbers and Operations
Learning Math With Calculators: Activities for Grades 3-8 (Print-Non-Fiction). Sparrow, Len and Swan, Paul. Math Solutions Publications (MHR), 2001. 88 p. ISBN 0-322-08252-8 ($26.01 pbk.).
This resource is designed to facilitate appropriate calculator usage in mathematics. Following a clear and thorough explanation of the role and effective usage of calculators, this resource supplies a variety of activities for using calculators. The activities focus on the development of problem-solving strategies, mental calculation methods, estimation skills and number properties. This resource promotes building a strong understanding of numbers and sharing discoveries with peers. A list of references regarding calculator use is appended.
Suggested Use: Grade 3; Grade 4; Grade 5; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Mathematics: Middle Level
Lemonade for Sale (CD-ROM). Sunburst Communications (EDRS), 2001. School Version - Order no. T04643 ($89.00). Additional CD ROMs - Order no. T04645 ($25.00).
System Requirements:
Lessons for Addition and Subtraction: Grades 2-3 (Print-Non-Fiction). Tank, Bonnie and Zolli, Lynne. (Teaching Arithmetic Series). Math Solutions Publications (PRN), 2001. 186 p. ISBN 0-941355-32-2 ($38.50 pbk.).
This teacher’s resource presents a series of addition and subtraction lessons that enhance students’ problem solving, estimation and computation skills. Each lesson provides a lesson overview, the required materials, the procedure and possible extension activities. Through investigations and discussions, students develop an understanding of the properties and the inverse relationship of addition and subtraction. Lessons explore multiple strategies for computation, learning the basic facts and identifying a reasonable estimate. This resource also includes blackline masters, assessment strategies and samples of student work.
Suggested Use: Grade 2; Grade 3; Measurement; Numbers and Operations; Problem Solving; Teacher Reference
Lessons for Algebraic Thinking: Grades K-2 (Print-Non-Fiction). Von Rotz, Leyani and Burns, Marilyn. (Lessons for Algebraic Thinking Series). Math Solutions Publications (PRN), 2002. 256 p. ISBN 0-941355-47-0 ($42.95 pbk.).
This resource is part of the three-volume series Lessons for Algebraic Thinking, which fosters the development of number sense. Each chapter is organized into several sections: an overview of the lesson, the background of the mathematics fundamental to the lesson, a list of vocabulary terms, a detailed procedure, the materials required and samples of students’ work. The 16 activity-based lessons incorporate manipulative materials and suitable adaptations to illustrate concepts for every student. The problem-solving investigations support several learning objectives in the numbers and operations and geometry strands.
Suggested Use: Grade 1; Grade 2; Geometry; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Kindergarten
Lessons for Algebraic Thinking: Grades 3-5 (Print-Non-Fiction). Wickett, Maryann, Kharas, Katharine and Burns, Marilyn. (Lessons for Algebraic Thinking Series). Math Solutions Publications (PRN), 2002. 313 p. ISBN 0-941355-48-9 ($42.95 pbk.).
This resource is part of the three-volume series Lessons for Algebraic Thinking, which fosters the development of algebraic thinking. Each chapter is organized into several sections: an overview of the lesson, the background of the mathematics fundamental to the lesson, a list of vocabulary terms, a detailed procedure, the materials required and samples of students’ work. A foundation for algebraic thinking is developed through activities focused on the creation and recognition of numerical and geometric patterns. The lessons support several learning objectives in the data management and analysis, numbers and operations and geometry strands.
Suggested Use: Grade 3; Grade 4; Grade 5; Data Management and Analysis; Geometry; Numbers and Operations; Problem Solving; Teacher Reference
Lessons for Decimals and Percents: Grades 5-6 (Print-Non-Fiction). De Francisco, Carrie and Burns, Marilyn. (Teaching Arithmetic Series). Math Solutions Publications (PRN), 2002. 212 p. ISBN 0-941355-44-6 ($38.50 pbk.).
Compilations of lessons that foster the development of thinking and communicating mathematically are incorporated into this resource. Through problem-solving investigations, students become actively involved in relating decimals to fractions, representing decimal numbers and interpreting percentages. Assessment techniques and opportunities to integrate literature are suggested throughout this resource. An index and a table of contents are also included.
Suggested Use: Grade 5; Numbers and Operations; Teacher Reference
Other Use: Mathematics: Middle Level
Lessons for First Grade (Print-Non-Fiction). Sheffield, Stephanie. (Teaching Arithmetic Series). Math Solutions Publications (PRN), 2001. 157 p. ISBN 0-941355-34-9 ($38.50 pbk.).
Strategies and sample lessons that assist with the teaching of problem solving, estimation and computation skills are presented in this teacher’s resource. Each lesson provides an overview, the required materials, the procedure and possible extension activities. The activities develop numerical relationships and operational sense through a variety of authentic contexts for first grade students: real-world problems, literature selections and daily classroom routines. This resource also includes blackline masters, assessment strategies and samples of student work.
Suggested Use: Grade 1; Numbers and Operations; Problem Solving; Teacher Reference
Lessons for Introducing Division: Grades 3-4 (Print-Non-Fiction). Wickett, Maryann, Ohanian, Susan and Burns, Marilyn. (Teaching Arithmetic Series). Math Solutions Publications (PRN), 2002. 195 p. ISBN 0-941355-42-X ($38.50 pbk.).
The teaching of division is introduced through a conceptual rather than a memorized algorithm approach in this practical teacher’s resource. Through problem-solving investigations, the 14 lessons are designed for students to actively explore equal groups, represent remainders, calculate quotients and use division to solve authentic problems. A firm understanding of the concept of division and how division relates to the other operations is the underlying aim of the activities. Assessment techniques and opportunities to integrate children’s literature are suggested throughout the resource. An index and a table of contents are also included.
Suggested Use: Grade 3; Grade 4; Numbers and Operations; Teacher Reference
Lessons for Introducing Fractions: Grades 4-5 (Print-Non-Fiction). Burns, Marilyn. (Teaching Arithmetic Series). Math Solutions Publications (PRN), 2001. 174 p. ISBN 0-941355-33-0 ($38.50 pbk.).
The resource is directed at teachers and includes many suggestions for activity-based lessons using manipulatives and developing problem-solving skills. Each lesson has the following components: an overview, a resource list, a suggested timeline, a lesson and assessment ideas. The book is designed for students to gain understanding of fractions and their relationship to whole numbers and decimals. Imperial measurements are included, but this is not a limiting factor.
Suggested Use: Grade 4; Grade 5; Numbers and Operations; Teacher Reference
Lessons for Introducing Multiplication: Grade 3 (Print-Non-Fiction). Burns, Marilyn. (Teaching Arithmetic Series). Math Solutions Publications (PRN), 2001. 189 p. ISBN 0-941355-41-1 ($38.50 pbk.).
The resource is a revision of Math by All Means: Multiplication. It is directed at teachers and includes many suggestions for activity-based lessons using manipulatives and developing problem-solving skills. It includes directions for the integration of four literature selections as well as suggested extension activities and assessment procedures. The book is designed for teachers to understand how students develop the concept of multiplication.
Suggested Use: Grade 3; Numbers and Operations; Teacher Reference
Lessons for Introducing Place Value: Grade 2 (Print-Non-Fiction). Wickett, Maryann and Burns, Marilyn. (Teaching Arithmetic Series). Math Solutions Publications (PRN), 2002. 181 p. ISBN 0-941355-45-4 ($38.50 pbk.).
Creative methods for teaching the structure of our number system are presented in this useful teacher’s resource. Through problem-solving investigations, the 15 lessons are designed to involve students actively in comparing numbers and understanding place value positions. Activities provide students with opportunities to count large quantities of objects, examine numerical patterns, skip count and count with money. Assessment techniques and children‘s literature are suggested throughout this resource. An index and a table of contents are also included.
Suggested Use: Grade 2; Numbers and Operations; Teacher Reference
Literature-Based Workshops for Mathematics (Print-Non-Fiction). Morrison, Kathy, Dittrich, Tina and Claridge, Jill. (Ideas for Active Learning, Grades K-2 Series). High/Scope Press (WINC), 2002. 208 p. ISBN 1-57379-167-9 ($54.95 pbk.).
This clearly written resource links mathematical concepts with children’s literature. The workshops focus on geometry, counting, seriation, addition, money and measurement. Each workshop features a teacher-directed lesson to introduce the concept. Subsequent workshop activities employ an experiential learning approach as students apply and share their newfound knowledge through visual art, research and writing. This resource also features recommendations for assessing student learning and extending the lesson to other subjects. This is an invaluable resource for integrating performance tasks and cooperative learning in the primary classroom.
Suggested Use: Grade 1; Grade 2; Geometry; Measurement; Numbers and Operations; Teacher Reference
Other Use: Kindergarten
The Magic of a Million Activity Book (Print-Non-Fiction). Schwartz, David M. and Whitin, David J. Scholastic Inc. (SCH), 1998. 80 p. ISBN 0-590-70133-9 ($16.99 pbk.).
Large numbers, are investigated through a myriad of exciting activities in this resource. Students are engaged in concrete problem-solving situations as they count to 1 000 000, collect 1 000 000 objects and create representations of 1 000 000. Many activities incorporate estimation skills and effective calculator usage as a method to enhance students' understanding of mathematical patterns and relationships. Black-line masters for activities and a suggested reading list are appended to this resource.
Suggested Use: Grade 2; Grade 3; Grade 4; Grade 5; Numbers and Operations; Problem Solving
Marvelous Math: A Book of Poems (Print-Anthology). Hopkins, Lee Bennett and Barbour, Karen, illus. Aladdin Books (SHU), 2001. 31 p. ISBN 0-689-84442-5 ($9.99 pbk.).
Sixteen poems that explore the exciting world of mathematics are compiled in this resource. The playful poems are complemented by bright illustrations created with gouache paint and outlined in black acrylic. From rhyming couplets to diamantes, this collection of poems describes the functionality and splendour of mathematics in our daily lives.
Suggested Use: Grade 3; Grade 4; Grade 5; Numbers and Operations
Math for All Seasons: Mind-Stretching Math Riddles (Print-Fiction). Tang, Greg and Briggs, Harry, illus. Scholastic Inc. (SCH), 2002. unp. ISBN 0-439-21042-9 ($22.99 hdc.).
Problem-solving situations are posed through delightful poems and pictorial puzzles that span the seasons. Rhyming verses and accompanying illustrations pose number problems that students must solve using creative methods. Tang’s playful verses encourage the application of mental addition calculation strategies and the identification of patterns or sets rather than relying on formulas and memorization.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Numbers and Operations
Math for Humans: Teaching Math Through 8 Intelligences. Rev. ed. (Print-Non-Fiction). Wahl, Mark. LivnLern Press (PRN), 1999. 254 p. ISBN 0-9656414-8-1 ($48.50 pbk.).
This resource provides ideas and strategies for integrating different perspectives including the Multiple Intelligences, varying learning styles, and cooperative learning into mathematics. The first section of this resource is a theoretical explanation of the perspectives and techniques for assessing different perspectives. The second section describes activities that highlight various Multiple Intelligences. Methods for extensions or adaptations are included in the numerous activities.
Please note that the measurement activities state Imperial measurements, but this is not a limiting factor.
Suggested Use: Grade 4; Grade 5; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Mathematics: Middle Level
Math Homework That Counts: Grades 4-6 (Print-Non-Fiction). Raphel, Annette. Math Solutions Publications (PRN), 2000. 89 p. ISBN 0-941355-27-6 ($21.49 pbk.).
Creative homework assignments or extension activities are the focus of this teacher’s resource. The interactive activities have been divided into four categories: to provide practice, to prepare a foundation for upcoming mathematical concepts, to extend taught concepts or to emphasize creativity. The premise of the activities is to encourage critical and creative thinking rather than the practice of a computational skill through a series of questions on a worksheet. Literature selections and communicative activities are incorporated into several of the activities. This resource also includes a table of contents, samples of student work and a bibliography.
Suggested Use: Grade 4; Grade 5; Measurement; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Mathematics: Middle Level
Math Links: Teaching the NCTM 2000 Standards Through Children's Literature (Print-Non-Fiction). Evans, Caroline W., Leija, Anne J. and Falkner, Trina R. Teacher Ideas Press (OLA), 2001. 309 p. ISBN 1-56308-787-1 ($48.40 pbk.).
Methods for weaving quality children’s literature into mathematics are presented in this comprehensive resource. The problem-solving activities incorporate effective use of calculators, manipulative materials and technology. A bibliography of alternate resources and an index of the learning objectives are listed within each lesson.
Please note that the selected literature resources for the activities were not reviewed by Saskatchewan Learning.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Data Management and Analysis; Geometry; Measurement; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Kindergarten
Math Matters: Understanding the Math You Teach, Grades K-6 (Print-Non-Fiction). Chapin, Suzanne H. and Johnson, Art. Math Solutions Publications (PRN), 2000. 256 p. ISBN 0-941-35526-8 ($40.50 pbk.).
This resource assists teachers to understand mathematical concepts and skills presented in the curriculum. Sections of this resource provide information on number sense, computation, the four operations, fractions, decimals, percents, algebra, geometry, measurement, statistics and probability. Following a brief introduction of each mathematical concept are activities designed to bridge theory and practice, a thorough discussion of the activities, and explanation of the relationships to other mathematical strands. This resource prompts teachers to question students at a higher level, explain ideas with increased clarity and build students’ knowledge of mathematical relationships.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Data Management and Analysis; Geometry; Measurement; Numbers and Operations; Problem Solving
Other Use: Kindergarten; Mathematics: Middle Level
Mathematics Assessment: A Practical Handbook for Grades 3-5 (Print-Non-Fiction). Allen, Charles, et al. (Classroom Assessment for School Mathematics K-12 Series). National Council of Teachers of Mathematics (NCTM), 2001. 168 p. ISBN 0-87353-498-0 ($25.95 U.S. pbk.).
This resource is part of a series of six books that complement the National Council of Teachers of Mathematics (NCTM) Assessment Standards for School Mathematics. This excellent teacher resource is an in-depth examination of assessment practices and practical advice on how to select, develop, manage and use assessment tools. It also features many sample rubrics, checklists and observations forms.
Suggested Use: Grade 3; Grade 4; Grade 5; Teacher Reference
Math-Vu Mirror (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 5910 ($2.99).
This reflective manipulative can be used to explore geometric figures. The semi-transparent feature allows students to easily bisect angles and explore symmetry, transformations and congruence. The included reflective enhancer card and protractor template are additional tools for discovering geometric properties.
Suggested Use: Grade 3; Grade 4; Grade 5
Other Use: Mathematics: Middle Level; Mathematics 10, 20; Mathematics: A30, B30, C30
Meeting the Math Standards With Favorite Picture Books (Print-Non-Fiction). Krech, Bob. Scholastic Inc. (SCH), 2002. 80 p. ISBN 0-439-31889-0 ($19.99 pbk.).
Twenty-five literature selections lead the way for motivating mathematics explorations in this teacher’s resource. Each lesson includes a summary of the literature, the objectives, a list of vocabulary items, engaging activities and extending investigations. The activities offer varied opportunities for mathematical applications including collecting and analyzing data, developing measurement and geometrical concepts and applying concepts of numbers and operations. This resource also includes extension activities, black-line masters, suggestions for connecting to other areas of the curriculum, a strand chart and a bibliography of additional literature selections.
Please note that the literature resources referred to in this resource have not been reviewed by Saskatchewan Learning.
Suggested Use: Grade 2; Grade 3; Grade 4; Data Management and Analysis; Geometry; Measurement; Numbers and Operations; Problem Solving; Teacher Reference
Metric Tapes (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 2562 ($10.95).
These fiberglass metric tapes can be used in a variety of student investigations involving linear measurement. While predominately a measurement tool, metric tapes can also be used in the exploration of fractions and decimals. Each of these measuring devices spans 150 cm and is graduated in centimetres and millimetres.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Measurement; Numbers and Operations
Other Use: Mathematics: Middle Level
Money and Math in Literature: Volume I (K-6) (Print-Non-Fiction). Young, Joan and Wilson, Marilyn. (Active Learning Series). Exclusive Educational Products (EEP), 1995. 322 p. Order no. 0072 ($35.66 binder).
An abundance of selected children’s literature provides a springboard for the development of money skills in this resource. The activity-based tasks focus on earning, spending and saving money. The illustrations of coins and bills do not reflect any particular currency. Assessment techniques, glossary activities and a bibliography are included in this resource.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Measurement; Teacher Reference
Other Use: Kindergarten
Money, Grades 1-2 (Print-Non-Fiction). Crawford, Jane. (Math by All Means Series). Math Solutions Publications (PRN), 1996. 182 p. ISBN 0-941355-17-9 ($40.50 pbk.).
Strategies for identifying and counting various monetary values are presented in this teacher’s resource. Each lesson consists of an overview, pre-lesson preparation, an introductory activity, a detailed task, class or student reflection and an assessment method. The lessons present a variety of games that focus on coin recognition and values, counting money and representing amounts of money. The problem-solving activities promote and develop critical thinking skills and number sense. This resource also includes lessons for integrating mathematics and literature, homework assignments, black-line masters, vignettes from the classroom and samples of student work.
Please note that some Imperial measurements are included, but the lessons can easily be adapted to Metric measurements.
Suggested Use: Grade 1; Grade 2; Measurement; Teacher Reference
My Full Moon Is Square (Print-Fiction). Pinczes, Elinor J. and Enos, Randall, illus. Houghton Mifflin Company (ALL), 2002. unp. ISBN 0-618-15489-2 ($18.71 hdc.).
Fans of Elinor Pinzces will not be disappointed with her latest story that again weaves mathematics and literature. A frog, who is an avid reader, is disappointed when a moonless night disrupts his bedtime reading. The friendly fireflies assist the frog in his plight by creating different square formations to illuminate the pond. Various mathematical equations illustrate the fireflies’ attempts to find a suitable arrangement for storytelling. The story is an excellent opportunity to engage students in the investigation of multiplication arrays that create a square and the attributes of this geometric figure.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry; Numbers and Operations
Navigating Through Algebra in Grades 3-5 (Print-Non-Fiction). Cuevas, Gilbert J. and Yeatts, Karol. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (NCTM), 2001. 90 p. ISBN 0-87353-500-6 ($27.95 U.S. pbk.).
This resource is part of the Navigations Series that provides a multitude of algebraic lessons. The engaging activities develop algebraic reasoning through the experiential learning method. Explorations in the relationships inherent in patterns and equations provide students with a sound basis of algebraic thinking required for future understanding of abstract concepts. The detailed lessons also list extension tasks and assessment techniques.
The accompanying CD contains professional articles and interactive applets.
Suggested Use: Grade 3; Grade 4; Grade 5; Numbers and Operations; Teacher Reference
Navigating Through Geometry in Grades 3-5 (Print-Non-Fiction). Gavin, M. Katherine, et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (NCTM), 2001. 135 p. ISBN 0-87353-512-X ($32.95 U.S. pbk.).
From conceptual development of figures, location, transformations and spatial visualization, this valuable resource provides activities focused on geometric understanding. The detailed lessons actively engage students in describing and analyzing geometric concepts.
The accompanying CD contains professional articles from the National Council of Teachers of Mathematics publication, student examples and interactive applets.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry; Teacher Reference
The Number Crew: Calculations Series (Video). Public Media Inc./Films Incorporated Video (MMP), 1999. 10 min. No order number is required. ($59.95). Circulating copy ($125.00).
Recommended titles in this series include the following:
The Number Crew: Numbers and the Number System Series (Video). Public Media Inc./Films Incorporated Video (MMP), 1998. 10 min. No order number is required. ($59.95). Circulating copy ($125.00).
Recommended titles in this series include the following:
The Number Crew: Solving Problems Series (Video). Public Media Inc./Films Incorporated Video (MMP), 1999. 10 min. No order number is required. ($59.95). Circulating copy ($125.00).
Recommended titles in this series include the following:
100 Days of School (Print-Fiction). Harris, Trudy and Johnson, Beth Griffis, illus. Millbrook Press Inc. (FHW), 1999. unp. ISBN 0-7613-1271-4 ($36.95 hdc.).
The cheerful illustrations and rhyming text encourage students to explore various ways to count to 100. Each rhyme details a mental calculation strategy including skip counting, counting on, doubling and repeated addition. The verses, although at times stifled, present authentic situations for developing number concepts and relationships.
Suggested Use: Grade 1; Grade 2; Grade 3; Numbers and Operations
Other Use: Kindergarten
One Hundred Hungry Ants (Print-Fiction). Pinczes, Elinor J. and MacKain, Bonnie, illus. Houghton Mifflin Company (SES), 1993. unp. ISBN 0-395-97123-3 ($8.95 pbk.).
One hundred hungry ants scurry to partake in the delicious offerings of an afternoon picnic. The colony of ants reform their marching lines several times in their endeavor to arrive at a faster rate. The marching verses and illustrated arrays combine to create an invaluable resource for introducing factors of 100 and division concepts.
Suggested Use: Grade 2; Grade 3; Grade 4; Grade 5; Numbers and Operations
One Hundred Shoes: A Math Reader (Print-Fiction). Ghigna, Charles and Staake, Bob, illus. (Step Into Reading: Step 1 Series). Random House of Canada Limited (RAN), 2002. 32 p. ISBN 0-375-92178-8 ($17.99 hdc.). ISBN 0-375-82178-3 ($5.99 pbk.).
This delightful story considers the predicament of a centipede shopping for appropriate footwear. The rollicking rhythmic pattern will encourage students to explore the various multiples that total 100. After the centipede spends an exhaustive day trying on various types of shoes, readers will agree that remaining barefoot is the only logical solution for a centipede! This appealing resource could also be extended to collecting and analyzing footwear data.
Suggested Use: Grade 1; Data Management and Analysis; Numbers and Operations
Other Use: Kindergarten
100th Day Worries (Print-Fiction). Cuyler, Margery and Howard, Arthur, illus. Simon & Schuster, Inc. (SHU), 2000. unp. ISBN 0-689-82979-5 ($23.50 hdc.).
To celebrate the hundredth day of school, Jessica’s teacher asks each student to bring a collection of 100 things to mark the day. Mental calculation strategies, including skip counting, making 10s, repeated addition and building on a known sum of 10, are used to count each student’s collection. As a chronic worrier, Jessica contemplates various collections and finally arrives at an ingenious solution that incorporates the love of her family. The cartoon-style illustrations capture the anguish Jessica endures as she searches for the perfect collection.
Suggested Use: Grade 1; Grade 2; Grade 3; Numbers and Operations
One Riddle, One Answer. 1st ed. (Print-Fiction). Thompson, Lauren and Wingerter, Linda S., illus. Scholastic Inc. (SCH), 2001. unp. ISBN 0-590-31335-5 ($22.99 hdc.).
In this Persian tale, acrylic illustrations submerge the readers into a magical fairy tale setting. A young princess Aziza, devises a numerical riddle for her suitors to solve. Several men attempt the riddle, but a young farmer who shares Aziza’s love of numbers provides the correct answer. The solution to the riddle involves an understanding of place value, fractions and multiplication. Cleverly hidden numbers and a challenging puzzle combine to create this delightful mathematical resource.
Suggested Use: Grade 3; Grade 4; Grade 5; Numbers and Operations; Problem Solving
Overhead Calculator (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 15090 ($56.25).
This overhead calculator allows the teacher to demonstrate mathematical patterns and relationships. This solar-powered manipulative has an eight-digit display and performs the four operations.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Data Management and Analysis; Measurement; Numbers and Operations; Problem Solving
Overhead Double-Nine Dominoes (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 5350 ($15.26).
This transparent set of dominoes can be used to demonstrate number relationships and equations on the overhead projector.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Numbers and Operations
Overhead Premier Pentominoes (Manipulative). Learning Resources, Inc. (EEP), 1994. Order no. 5319 ($5.23).
This 12-piece transparent set of pentominoes is suitable for overhead demonstrations. Pentominoes are an effective tool for teaching area, perimeter and spatial relationships.
An included teacher’s guide offers suggested uses for pentominoes.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry; Measurement
Other Use: Mathematics: Middle Level
Overhead Rainbow Fraction Tiles (Manipulative). Learning Resources, Inc. (EEP), n.d. Order no. 3740 ($12.41).
These colour-coded tiles are a suitable model for overhead demonstrations of fractional concepts.
An included teacher’s guide provides suggested activities for exploring equivalent relationships and identifying parts of a whole.
Suggested Use: Grade 3; Grade 4; Grade 5; Numbers and Operations
Other Use: Mathematics: Middle Level
Pattern Blocks for the Overhead (Manipulative). Pearson Education Canada (PRN), n.d. ISBN 0-321-14111-3 ($8.95).
This transparent set of pattern blocks can be used on the overhead projector to model concepts in patterning, measurement and geometry. The relationships among these six pieces make these blocks a powerful tool for developing concepts throughout the strands.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Geometry; Measurement; Numbers and Operations; Problem Solving
Other Use: Kindergarten; Mathematics: Middle Level
Pattern Bugs (Print-Fiction). Harris, Trudy and Green, Anne Canevari, illus. Millbrook Press Inc. (FHW), 2001. unp. ISBN 0-7613-2107-1 ($22.90 hdc.).
In this charming resource, the pastel watercolour illustrations of crawlers showcase examples of patterns. The accompanying rhyming text, page border and background objects cleverly echo the pattern. Students will enjoy searching for the repetitive patterns on each two-page spread. The author’s appendix provide information about patterning of numbers, objects and events.
Suggested Use: Grade 1; Grade 2; Numbers and Operations
Other Use: Kindergarten
Plastic Pattern Blocks (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 3976 ($23.76).
These versatile manipulatives are powerful tools for concept development throughout the strand. With these six blocks, students can investigate geometric relationships, symmetry, patterns, measurement and fractional relationships. The blocks can also be used for sorting and pattern recognition.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Geometry; Measurement; Numbers and Operations; Problem Solving
Other Use: Kindergarten; Mathematics: Middle Level
Polydron: Platonic Solids (Manipulative). Polydron International Ltd. (SES), n.d. Order no. 45118 ($54.95).
This plastic set includes 32 equilateral triangles, 12 pentagons and 6 squares that snap together to create other two-dimensional figures and three-dimensional solids. This manipulative enhances students’ development of spatial sense through the construction of objects and investigations of angles, faces, edges and vertices.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry
Other Use: Mathematics: Middle Level
Power Solids (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 10155 ($24.95).
This plastic set can be used to develop the concept of volume. Students can explore the relationships between shape, size and volume as they compare the amount of space each of these 14 geometric solids occupies. These clear hollow solids have a removable lid to allow for easy filling of wet or dry material.
Suggested Use: Grade 3; Grade 4; Grade 5; Measurement
Other Use: Mathematics: Middle Level
Probability: Grades 1-2 (Print-Non-Fiction). Tank, Bonnie. (Math By All Means Series). Math Solutions Publications (PRN), 1996. 186 p. ISBN 0-941355-15-2 ($40.50 pbk.).
Strategies for predicting outcomes and sample lessons that assist with the teaching of probability are presented in this comprehensive resource. Each lesson provides an overview, a pre-lesson preparation, a lesson procedure and a vignette from a classroom. Students develop problem-solving strategies, critical thinking skills and number sense through a variety of games and investigations. Writing is an integral part of this resource; students are encouraged to communicate their conceptual understanding of data collection and analysis. This resource also includes homework assignments, blackline masters, assessment strategies and samples of student work.
Suggested Use: Grade 1; Grade 2; Data Management and Analysis
Rainbow Fraction Tiles (Manipulative). Learning Resources, Inc. (EEP), n.d. Order no. 5725 ($13.39).
These colour-coded tiles can be used as a continuous model to introduce and explore fraction concepts. Students can use the proportional pieces to represent and construct equivalent relationships between a whole, halves, thirds, fourths, fifths, sixths, eighths, tenths and twelfths.
Suggested Use: Grade 3; Grade 4; Grade 5; Numbers and Operations
Other Use: Mathematics: Middle Level
Rainbow Premier Pentominoes (Manipulative). Learning Resources, Inc. (EEP), n.d. Order no. 5318 ($22.82).
These multi-coloured plastic puzzle pieces are a set of figures resulting from all the possible arrangements of five squares. Pentominoes can be used to explore area, perimeter, transformation, symmetry, congruence and tessellations. These six sets of pentominoes are conveniently packed in a clear storage container.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry; Measurement
Other Use: Mathematics: Middle Level
Selina and the Bear Paw Quilt (Print-Fiction). Smucker, Barbara and Wilson, Janet, illus. Stoddart Publishing Co. Ltd. (FHW), 1996. unp. ISBN 0-7737-2992-5 ($11.87 hdc.).
(CAN) Set in Pennsylvania in the 1860s, this story is about a Mennonite family that is forced to flee to Canada. Selina, the protagonist, is heartbroken when her grandmother decides that she is too old to make the long journey. However, she is comforted by grandmother’s gift of a special quilt that holds fond memories for each family member. Intricate quilt designs are used effectively as part of the illustrations.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry
Other Use: English Language Arts: Elementary Level
Initiative: Multicultural Content and Perspectives
Show and Tell: Representing and Communicating Mathematical Ideas in K-2 Classrooms (Print-Non-Fiction). Dacey, Linda and Eston, Rebeka. Math Solutions Publications (PRN), 2002. 232 p. ISBN 0-941355-50-0 ($33.95 pbk.).
This innovative resource demonstrates how mathematical concepts can be taught through “showing and telling.” Using this instructional method, students develop problem-solving skills as they represent different solutions and communicate their mathematical ideas. Numerous classroom vignettes and examples of student work model how “show and tell” can deepen students’ mathematical understandings.
Suggested Use: Grade 1; Grade 2; Data Management and Analysis; Geometry; Measurement; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Kindergarten
Simple Balance (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 4574 ($10.25).
This rocker balance is an invaluable tool for young students to explore number relationships and the masses of small objects. Objects such as marbles or interlocking 1 cm/1 g cubes can be placed in the balance pans or in the numbered recesses to allow investigations in equivalence and comparison. This robust balance is accompanied with an activity sheet and 50 one-gram masses.
Suggested Use: Grade 1; Grade 2; Measurement
Other Use: Kindergarten
Sir Cumference and the Dragon of Pi: A Math Adventure (Print-Fiction). Neuschwander, Cindy and Geehan, Wayne, illus. Charlesbridge Publishing (MON), 1999. 32 p. ISBN 1-57091-164-9 ($10.95 pbk.).
Suffering from a stomachache, Sir Cumference mistakenly drinks a magic remedy that transforms him into a dragon. His son, Radius, valiantly searches the castle for the cure. His quest for the magic number that is the same for all circles (pi) involves determining the diameter and circumference of various circular objects. Radius, while measuring a fruit pie, discovers the ratio of a circle’s circumference to its diameter and the king is returned to his human form. It is declared that henceforth pie with an e will be for eating and pi without an e will be the name of this number for all things round. This medieval tale from the Math Adventure Series provides a clever introduction to the irrational number pi.
Suggested Use: Grade 5; Measurement
Other Use: Mathematics: Middle Level
Sir Cumference and the First Round Table: A Math Adventure (Print-Fiction). Neuschwander, Cindy and Geehan, Wayne, illus. Charlesbridge Publishing (MON), 1997. 32 p. ISBN 1-57091-152-5 ($10.95 pbk.).
Set in a medieval castle, an oversized table causes the king and his gathered knights the inability to discuss royal matters effectively. Different geometric table configurations are suggested; however, each new figure presents a new dilemma. After the table undergoes several reconstructions, King Arthur finally determines that the circle is the perfect shape for a table. To celebrate, the king aptly renames his group of trusted knights as the Knights of the Round Table. Humourous mathematical puns and geometric definitions are combined in this clever tale.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry
Sir Cumference and the Great Knight of Angleland: A Math Adventure (Print-Fiction). Neuschwander, Cindy and Geehan, Wayne, illus. Charlesbridge Publishing (MON), 2001. 32 p. ISBN 1-57091-169-X ($12.95 pbk.).
To earn his knighthood, Radius embarks on a heroic quest to rescue the imprisoned King Lell. In his adventures beyond the Mountains of Obtuse, the hero employs measurement skills to navigate a labyrinth of angles and solve cryptic geometric puzzles. The gift of a circular medallion (a protractor) proves invaluable as Radius realizes its ability to measure the angles. Mathematical puns such as Lady Di of Ameter and Sir D’Grees are sure to amuse students. The inclusion of a circular medallion (protractor) allows students to interact with the story. This clever mathematical resource is Neushwander’s third mathematic adventure involving Sir Cumference and would be an asset to the study of geometry.
Suggested Use: Grade 4; Grade 5; Geometry
Other Use: Mathematics: Middle Level
The Smushy Bus (Print-Fiction). Helakoski, Leslie and Murdocca, Salvatore, illus. Millbrook Press Inc. (FHW), 2002. unp. ISBN 0-7613-1917-4 ($25.95 hdc.).
With wit and resourcefulness, a new bus driver approaches the predicament of having 72 passengers and only four rows of seats on the school bus. Children are placed under the seats, on overhead shelves and even on the roof of the bus! Bright, cheerful illustrations encourage students to analyze and interpret quantitative information as children are added to and subtracted from the bus. This zany tale delivers many mathematical puns as Mr. Mathers performs mathematical feats to deliver the students to their destinations.
Suggested Use: Grade 2; Grade 3; Grade 4; Numbers and Operations
So You Have to Teach Math?: Sound Advice for K-6 Teachers (Print-Non-Fiction). Burns, Marilyn and Silbey, Robyn. Math Solutions Publications (PRN), 2000. 121 p. ISBN 0-941355-29-2 ($25.95 pbk.).
This dynamic resource is a source of support for teachers of mathematics. The author supplies practical advice and guidance to frequently asked questions related to the teaching of mathematics. Methods for providing effective instruction and establishing a positive classroom environment are outlined in detail. Sample chapters focus on effective calculator usage, connecting with parents and leading class discussions. This resource provides an inspiring approach to teaching mathematics.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Data Management and Analysis; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Mathematics: Middle Level
Sorting/Counting Kit (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 14018 ($39.95).
This kit consists of 160 assorted animals, fruits, vegetables and modes of transportation. These manipulative materials can be used for sorting, counting and patterning investigations.
A teacher’s guide and a sorting tray are also included with this kit.
Suggested Use: Grade 1; Grade 2; Numbers and Operations
Other Use: Kindergarten
Spaghetti and Meatballs for All!: A Mathematical Story. 1st ed. (Print-Fiction). Burns, Marilyn and Tilley, Debbie, illus. (Marilyn Burns Brainy Day Book Series). Scholastic Canada Ltd. (MHR), 1997. unp. ISBN 0-590-94459-2 ($22.11 hdc.).
Mr. and Mrs. Comfort have arranged eight tables and 32 chairs to seat their invited relatives at the family reunion. Pandemonium erupts as each new group of guests suggests its own ideas for seating and subsequently alters the table arrangements. As the dining room is reconfigured into tables for six, eight and twelve people, the guests continue to dispute over inadequate seating and the placement of silverware. Eventually, the tables are rearranged to Mrs. Comfort’s original seating plan. An appended section provides an explanation of the story’s mathematical concepts and suggestions for extending the study of measurement. This playful story is a delightful introduction to mathematical investigations involving area and perimeter.
Suggested Use: Grade 3; Grade 4; Grade 5; Measurement
Splash! (Print-Fiction). Jonas, Ann. HarperCollins Canada Ltd. (HCP), 1995. 32 p. ISBN 0-688-11051-7 ($16.79 hdc.). ISBN 0-688-15284-8 ($6.29 pbk.).
A picturesque pond provides an idyllic setting for a young girl and her pets. Their peaceful afternoon is disrupted by the appearance of a mischievous cat. The successive reactions create chaos as various animals fall in or climb out of the pond. This resource presents endless counting opportunities as the number of animals in the pond changes at the turn of a page. Students will enjoy tracking the humourous antics of the animals in order to answer the young girl’s repeated question, “How many are in my pond?”
Suggested Use: Grade 1; Grade 2; Numbers and Operations
Other Use: Kindergarten
Super Fraction Circles (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 41594 ($13.95).
This set of coloured circles allows students to visually identify and construct equivalent relationships between halves, thirds, fourths, sixths, eighths, tenths, twelfths and a whole. Operations with like and unlike denominators could also be demonstrated with these fraction circles.
The included teacher’s resource outlines several suggestions for implementing fraction circles into mathematics lessons.
Suggested Use: Grade 3; Grade 4; Grade 5; Numbers and Operations
Other Use: Mathematics: Middle Level
Table Blocks (Manipulative). Creative Publications (MHR), n.d. ISBN 1-56107-479-9 ($43.96).
These 84 colourful wooden blocks can be used in spatial geometry and measurement investigations. This set contains various sizes of cones, prisms, cylinders, cubes and pyramids.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Geometry
Other Use: Mathematics: Middle Level
Teaching Math With Favorite Picture Books: Hands-on Activities and Reproducibles to Teach Math Using More Than 25 Picture Books (Print-Non-Fiction). Hechtman, Judi, Ellermeyer, Deborah and Grove, Sandra Ford. Scholastic Inc. (SCH), 1998. 80 p. ISBN 0-590-76250-8 ($15.99 pbk.).
Mathematics and literature are integrated in this practical teacher’s resource. The activity-based tasks provide varied concrete mathematical applications that meet curriculum learning objectives from the five strands. Extensions that link the literature selection to other subject areas are included with each lesson.
Please note that the suggested literature selections have not been evaluated by Saskatchewan Learning.
Suggested Use: Grade 1; Grade 2; Grade 3; Data Management and Analysis; Geometry; Measurement; Numbers and Operations; Problem Solving; Teacher Reference
Three Pigs, One Wolf, and Seven Magic Shapes (Print-Fiction). Maccarone, Grace and Neuhaus, David, illus. (Hello Math Reader: Level 3 Series). Scholastic Inc. (SCH), 1997. unp. ISBN 0-590-30857-2 ($4.99 pbk.).
In this fractured version of the classic fairy tale, the three pigs are provided with seven magical figures or tans from various animals. These figures form a tangram, an ancient Chinese puzzle that features seven pieces cut from a square. Each pig manipulates the figures differently. The first two pigs are unwise and are subsequently defeated by the "Big Brad Wolf," a villainous relation to the wolf featured in the original tale. The clever third pig uses the magical figures to construct a defensive structure that is impenetrable by the wolf. The illustrations depict various tangram configurations that students could recreate. This resource includes extending activities and a tangram puzzle at the end of the book.
Suggested Use: Grade 1; Grade 2; Grade 3; Geometry
TI-108 Calculator Set (Manipulative). Pearson Education Canada (PRN), n.d. ISBN 0-201-58568-5 ($75.00).
This set includes 10 solar-powered calculators that perform the four basic operations including square roots and percents. The large keys allow for easy use by students. The calculators can be used to explore skip counting, place-value concepts and mathematical patterns. The included slide case protects the set of calculators.
Suggested Use: Grade 3; Grade 4; Grade 5; Data Management and Analysis; Measurement; Numbers and Operations; Problem Solving
The Token Gift (Print-Fiction). McKibbon, Hugh William and Cameron, Scott, illus. Annick Press (FIR), 1996. unp. ISBN 1-55037-499-0 ($15.26 hdc.). ISBN 1-55037-498-2 ($6.26 pbk.).
This Persian legend explores the origins of a game similar to chess. Mohan invents a military strategy game that the king enjoys greatly. The king offers Mohan a reward for the gift of this game. After careful deliberation, Mohan asks for a “token,” a grain of rice that is doubled for each square on the chessboard. After readily agreeing, the king soon discovers through mathematical reasoning that the quantity of rice exceeds his supply and therefore the reward cannot be fulfilled. This plot parallels Birch’s The King’s Chessboard and Demi’s A Grain of Rice: A Mathematical Tale. Warm oil paintings enrich this mathematical and moral tale. The afterword contains further information about the origins of chess.
Suggested Use: Grade 4; Grade 5; Numbers and Operations
Other Use: Mathematics: Middle Level
Triple Beam Balance (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 2563 ($149.95).
This balance features three notched and tiered beams with a centre reading to accurately identify the mass of objects. The unrestricted metal platform allows for objects of varying size and shape to be measured. This balance includes one 500 g and two 1 kg auxiliary weights.
Suggested Use: Grade 4; Grade 5; Measurement
Other Use: Mathematics: Middle Level
12 Ways to Get to 11 (Print-Non-Fiction). Merriam, Eve and Karlin, Bernie, illus. Aladdin Books (SHU), 1996. unp. ISBN 0-689-80892-5 ($9.99 pbk.).
This whimsical counting resource presents 12 different addition combinations that total 11. Each colourful two-page spread leads students on an imaginative counting adventure. With her captivating style, the late poet introduces the concept that all whole number quantities are compositions of other smaller quantities. This resource is a nice deviation from others that focus on sums of 10.
Suggested Use: Grade 1; Grade 2; Numbers and Operations
Other Use: Kindergarten
20 Thinking Questions for Fraction Circles: Grades 3-6 (Print-Non-Fiction). Walker, Kathryn, Reak, Cynthia and Stewart, Kelly. (20 Thinking Questions Series). Creative Publications (MHR), 1995. 81 p. ISBN 1-56107-798-4 ($38.75 spiral-bound).
Twenty explorations of fractions are featured in this resource. Students use fraction circles to solve open-ended questions with multiple solutions or solution methods. The questions are arranged from easiest to most difficult. The activities promote a communicative approach as students are encouraged to reflect on their understanding through journals and class discussions. This resource includes tips for helping students answer their own questions, teaching suggestions, sample discussion questions and guidelines.
Suggested Use: Grade 3; Grade 4; Grade 5; Numbers and Operations; Teacher Reference
Other Use: Mathematics: Middle Level
Two-Coloured Counters (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 11965 ($10.95).
These plastic counters are red on one side and yellow on the other side. These counters can be used to build mathematical understandings in data management, fractions, probability, counting and integers.
An included teacher’s guide provides sample activities.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Data Management and Analysis; Numbers and Operations
Other Use: Mathematics: Middle Level
Understanding Geometry (Print-Non-Fiction). Richardson, Kathy. Lummi Bay Publishing (SES), n.d. 157 p. ISBN 0-928599-00-1 ($31.95 pbk.).
This resource contains activities that challenge primary students to visualize and analyze geometric concepts. Students are involved in problem-solving tasks as they sort figures, construct solids and discover geometric objects in their environment. Each interactive lesson describes the purpose, the task, adaptive strategies and key observations to use for assessment purposes. Appendices include a glossary of geometric terms, planning guide and blackline masters.
Suggested Use: Grade 1; Grade 2; Grade 3; Geometry; Teacher Reference
Other Use: Kindergarten
The Village of Round and Square Houses (Print-Fiction). Grifalconi, Ann. Little, Brown and Co. (FEN), 1986. unp. ISBN 0-316-32862-6 ($16.22 hdc.). ISBN 0-333-48521-1 ($9.86 pbk.).
This glorious African tale is set in Tos, an isolated village located in the remote hills of the Cameroons. In this Caldecott Honour Book, a grandmother recounts the origin of the village’s unique tradition of housing women in round shelters and men in square shelters. Vivid illustrations combined with fantastical storytelling exemplify the respect for elders and the rituals of the peaceful village.
Suggested Use: Grade 2; Grade 3; Grade 4; Geometry
Initiative: Multicultural Content and Perspectives
The Waterhole (Print-Non-Fiction). Base, Graeme. Viking Penguin (RAN), 2001. unp. ISBN 0-385-65852-4 ($27.95 hdc.).
A combination of counting book, puzzle book, storybook and visual art book, this story takes readers on a refreshing journey through animal habitats of North America, Africa, Australia and South America. As the number of creatures at a waterhole increases from 1 to 10, the size of the pond they are drinking from decreases until it is empty—and then it rains! Silhouetted in the borders are even more creatures that can also be found hiding within each setting. The watercolour, pencil and gouache illustrations are a visual delight.
Suggested Use: Grade 1; Grade 2; Grade 3; Numbers and Operations
Other Use: English Language Arts: Elementary Level; Kindergarten; Science: Elementary Level
What Comes in 2's, 3's & 4's? (Print-Non-Fiction). Aker, Suzanne and Karlin, Bernie, illus. Aladdin Books (SES), 1990. unp. ISBN 0-671-79247-4 ($8.50 pbk.).
This resource introduces the concept of sets using familiar objects in the environment. The simple illustrations encourage students to count the depicted objects that come in twos, threes and fours. From counting your two arms, the three wheels on a tricycle to the four seasons of the year, this delightful picture book is a wonderful addition to the study of skip counting or as an introduction to multiplication.
Suggested Use: Grade 2; Grade 3; Grade 4; Numbers and Operations
Who Sank the Boat? (Print-Fiction). Allen, Pamela. Puffin Books (CDS), 1988. unp. ISBN 0-14-050940-2 ($5.95 pbk.).
On a warm sunny day, five friends decide to go for a boat ride. The animals enter the boat from the heaviest to the lightest. As the cow and the donkey settle into the boat, the boat sinks lower and lower. The boat continues to teeter dangerously as the sheep and then the pig enter the boat. Predictably, the boat sinks just as the mouse climbs aboard. The author’s invitation to determine who really sank the boat will spark a great classroom discussion. The rhyming text and comical illustrations make this book an invaluable resource when studying capacity.
Suggested Use: Grade 1; Grade 2; Grade 3; Measurement
Other Use: Kindergarten
The Wing on a Flea: A Book About Shapes. 1st ed. (Print-Fiction). Emberley, Ed. Little, Brown and Co. (FEN), 2001. unp. ISBN 0-316-23487-7 ($22.95 hdc.).
This charming literature selection highlights the combination of planar figures that comprise many familiar objects. Emberley’s simple design effectively demonstrates that a triangle could be the wing of a flea or a hat on a clown. The black backgrounds brilliantly display the vibrant primary coloured and gold-leafed circles, triangles and rectangles. The delightful rhyming text will arose students’ curiosity to search and identify the geometric figures within each illustration.
Suggested Use: Grade 1; Grade 2; Grade 3; Geometry
Other Use: Kindergarten
The Write Math: Writing About Math in the Classroom (Print-Non-Fiction). Krpan, Cathy Marks. Seymour, Dale Pubns. (PRN), 2001. 94 p. ISBN 0-7690-2505-6 ($24.95 pbk.).
This resource provides ideas and strategies for integrating writing into mathematics. Suggested writing explorations and writing formats guide students’ communication of mathematical understanding and insights. This resource includes samples of student writing, black-line masters and a table of contents.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Geometry/Measurement; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Mathematics: Middle Level
. Algebra Stars (CD-ROM). Sunburst Communications (EDRS), 2001. Order numbers follow.
Algebra Tiles: Class Set (Manipulative). Pearson Education Canada (PRN), n.d. ISBN 0-321-14754-5 ($149.95).
This manipulative resource is useful for exploring ratio, integer, polynomial, factoring and equation concepts. This resource includes 30 student sets, each containing four squared variables, eight variables and twenty constants. The x -tiles include units (1 x 1), x -tiles (1 x x) and x 2 tiles (x x x). The y -tiles include y-tiles (1 xy), xy -tiles (x x y) and y 2 tiles (y x y). Positive quantities are represented by the colors yellow, green, and blue; negative quantities are represented by the colour red.
Suggested Use: Grade 7; Grade 8; Grade 9; Algebra
Other Use: Mathematics 10, 20
Alphashapes (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 15542 ($19.95).
Classification rules as well as properties of geometric figures and angle measurements can be explored using this versatile geometric resource. Each polygon is lettered and each angle is numbered. These transparent manipulatives can also be used for overhead demonstrations.
An included teacher’s guide suggests numerous methods for incorporating alphashapes into mathematical lessons.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement
Other Use: Mathematics: Elementary Level
Canadian Bills and Coins (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 2372 ($13.98).
(CAN) This 200-piece set includes a variety of Canadian bills and coins. The 140 coins are a combination of pennies, nickels, dimes, quarters, one-dollar coins and two-dollar coins. The 60 bills are in denominations of 5, 10 and 20 dollars. This set can be used to develop various measurement concepts including identification of coins and bills, counting with money, making change and understanding coin equivalence.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement; Numbers and Operations
Other Use: Mathematics: Elementary Level
Classpack Tangrams (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 5303 ($42.93).
This set of 30 tangrams in four assorted colours can be used to develop fractional relationships and problem-solving skills in geometry. This Chinese puzzle is comprised of seven pieces that can be arranged into a large square: two large isosceles right triangles, a medium isosceles right triangle, two small isosceles right triangles, a square and a parallelogram.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement; Numbers and Operations
Other Use: Mathematics: Elementary Level
Clear-View Base 10 Material: Starter Set (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 19356 ($51.95).
This set of transparent base 10 material allows teachers to demonstrate mathematical concepts using the overhead projector. These red and blue manipulatives can be interlocked to build number sentences or model place value positions. This manipulative set includes 20 flats, 50 rods, 100 unit cubes, one place value mat and a teacher’s guide.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Numbers and Operations
Other Use: Mathematics: Elementary Level
Colour Tiles (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 11966 ($15.95).
This 400-piece set is comprised of four different colours. The plastic tiles are an excellent manipulative to assist students in building a mental representation of concepts in geometry, measurement and probability. Middle Level students can also use the tiles to explore algebraic thinking and rational numbers.
An included teacher’s guide provides sample activities.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement; Numbers and Operations
Other Use: Mathematics: Elementary Level
Comparing With Ratio (CD-ROM). Sunburst Communications (EDRS), 2001. Order numbers follow.
Concert Tour Entrepreneur (CD-ROM). Sunburst Communications (EDRS), 2001. Order numbers follow.
Cube-a-Link (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 0500 ($39.06).
A multitude of mathematical concepts can be developed using this set of interlocking cubes. Connectable at six sides, these linking cubes can be used to develop spatial awareness, calculate surface area and form operational skills.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement; Numbers and Operations
Other Use: Kindergarten; Mathematics: Elementary Level
Cuisenaire Rods Small Group Set (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 6467 ($28.48).
This versatile manipulative set includes 155 wooden rectangular rods with 10 lengths corresponding to 10 different colours. After a value is assigned to a rod colour, students can explore the whole number and fractional relationships between the rods. At the Middle Level, the rods can also be used to explore concepts in measurement, ratio and proportion and geometry.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement; Numbers and Operations; Ratio and Proportion
Other Use: Mathematics: Elementary Level
Dice Kit (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 3453 ($47.58).
This set contains a variety of twenty-, twelve-, ten-, eight-, six- and four-sided dice. These number cubes are an invaluable resource for games and investigations involving number concepts and operations, data generating and analysis, integers and probability.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Data Management; Numbers and Operations
Other Use: Mathematics: Elementary Level; Mathematics 10, 20; Mathematics: A30, B30, C30
D-Stix (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 1540 ($32.51).
D-Stixs are hollow plastic sticks with joiners that allow construction of simple and complex geometric structures. The colour-coded rods and the multipronged joiners connect to form two-dimensional figures and three-dimensional objects.
An included instruction sheet outlines the steps for creating numerous geometric constructions.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement
Other Use: Mathematics: Elementary Level
Family Math: The Middle School Years: Algebraic Reasoning and Number Sense (Print-Non-Fiction). Thompson, Virginia and Mayfield-Ingram, Karen. Equals (SES), 1998. 266 p. ISBN 0-912511-29-X ($31.95 pbk.).
This is a compilation of cooperative mathematical activities for families or groups of students. The integrated activities focus on the development of algebraic reasoning and number sense. Mathematical notes are appended to each activity to explain the mathematical concepts. The experiential method of learning is highlighted as family members analyze and record their mathematical reasoning. This resource also features a parent advocacy chapter that describes how to make informed mathematical decisions for their children. A bibliography, black-line masters and a list of resources are also included in this book.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Algebra
Five-Colour Counters (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 41528 ($4.75).
These transparent counters are useful for demonstrating activities involving 100 boards, sorting and counting. At the Middle Level, these counters can also be used to build understanding in fractions and probability.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Data Management; Numbers and Operations
Other Use: Mathematics: Elementary Level
Fraction Blocks (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 4806 ($21.82).
These fraction blocks provide a continuous model for introducing and exploring fraction concepts with denominators of two, three, four, six and twelve. Manipulation of the blocks allows students to compare the size of fractions, order fractions and solve problems involving addition and subtraction of fractions. These pink and black pieces can be used in conjunction with pattern blocks.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Numbers and Operations
Other Use: Mathematics: Elementary Level
Geometry Labs (Print-Non-Fiction). Picciotto, Henri. Key Curriculum Press (SES), 1999. 248 p. ISBN 1-55953-361-7 ($33.95 pbk.).
This dynamic resource features activities that focus on building critical thinking skills in geometry. Through the use of manipulative materials, students investigate problems relating to angles, polygons, symmetry, the Pythagorean Theorem, area and volume. Each activity is followed by questions that could be used to provoke further class discussion or as a means of assessing mathematical understanding. An answer key and blackline masters are included.
Suggested Use: Grade 8; Grade 9; Geometry/Measurement
Other Use: Mathematics 10, 20
Good Questions for Math Teaching: Why Ask Them and What to Ask, K-6 (Print-Non-Fiction). Sullivan, Peter and Lilburn, Pat. Math Solutions Publications (PRN), 2002. 103 p. ISBN 0-941355-51-9 ($22.95 pbk.).
The definition and formulation of open-ended mathematical questions are explored in this useful resource. The first section describes the dynamic effect that higher level questions can have upon students’ ability to think and reason critically. The second section includes a large selection of good questions for each of the strands. Each sample question is supplemented with notes to guide teachers in ascertaining if students understand the presented concept.
Suggested Use: Grade 6; Data Management; Geometry/Measurement; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Kindergarten; Mathematics: Elementary Level
Group Six Caddy Kit: Grades 1-6 (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 4128 ($93.46).
These base 10 materials build students’ understanding of place value, operations and decimal fractions. The combo-mats allow for the visualization of one- to four-digit numbers. This set includes six combo-mats, three decimetre cubes, 30 flats, 90 rods and 500 units.
An included teacher’s guide describes problem-solving activities that incorporate these base ten materials.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Numbers and Operations
Other Use: Mathematics: Elementary Level
The Hidden Treasure of Al-Jabr (CD-ROM). Sunburst Communications (EDRS), 2001. Order numbers follow.
Hundred Board (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 14500 ($22.95).
This set includes 10 boards, 100 numbered and 25 blank plastic tiles and a teacher’s guide. Students can manipulate the boards to enhance number patterning, place value and operational skills. At the Middle Level, the boards are very useful for teaching the concept of percent.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Numbers and Operations; Problem Solving
Other Use: Kindergarten; Mathematics: Elementary Level
If the World Were a Village: A Book About the World's People (Print-Non-Fiction). Smith, David J. and Armstrong, Shelagh, illus. Kids Can Press (UTP), 2002. 32 p. ISBN 1-55074-779-7 ($12.76 hdc.).
(CAN) This resource invites the readers to imagine the world as a village of 100 people. Each two-page spread compares the villagers using quantitative data on their religion, language, nationality, population growth and access to resources. The statistics challenge the reader to analyze the numerical comparisons and relate the findings to a more global perspective. This resource includes activities, thought-provoking questions and sources for the calculations.
Suggested Use: Grade 6; Grade 7; Grade 8; Data Management
Other Use: Mathematics: Elementary Level; Social Studies: Elementary Level; Social Studies: Grade 6; Social Studies: Grades 7-9; Social Studies 10/History 10; Social Studies 20/History 20
Initiative: Multicultural Content and Perspectives
If You Hopped Like a Frog (Print-Fiction). Schwartz, David M. and Warhola, James, illus. Scholastic Inc. (SCH), 1999. unp. ISBN 0-590-09857-8 ($22.99 hdc.).
In this hilarious literature selection, readers learn about the amazing abilities of animals. Vivid and exaggerated illustrations apply these ratios proportionally to the bodies of human beings. Readers will be amazed to discover the strength of a mighty ant, the ferocious appetite of a shrew, and their rapid growth rate in the first nine months before birth. Each comparison is explained in greater detail in the appendix. The author of How Much Is a Million? and G Is for Googol has again created a engaging mathematical resource that develops critical and creative thinking skills.
This title is also available in video format (see the following annotation).
Suggested Use: Grade 6; Grade 7; Ratio and Proportion
Other Use: English Language Arts: Elementary Level (see Heroes Read Series); English Language Arts: Grades 6 to 9; Kindergarten (see Heroes Read Series); Mathematics: Elementary Level (see Heroes Read Series)
If You Hopped Like a Frog (Video). (Heroes Read Series). Kern County Superintendent of Schools (MGR), 1999. 13 min. Dup. order no. V3216. Teacher’s Guide for series - Order no. G3204 ($16.50 pbk.).
Author David Schwartz combines his interest in math concepts and science facts with his strong belief that books are the best way to open up worlds of excitement for young readers. Schwartz delights in presenting the feats of frogs, tree shrews and spiders, among others, in comparison to human capabilities. The interview with the author supports the utilization of math in daily life, cross-curriculum learning, and how to enjoy math and science.
This title is also available in print format (see previous annotation).
A teacher’s guide for this series is available from Media Group.
Suggested Use: Grade 6; Grade 7; Ratio and Proportion
Other Use: English Language Arts: Elementary Level; English Language Arts: Grades 6 to 9; Kindergarten; Mathematics: Elementary Level
Integer Tiles (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 4820 ($5.66).
These integer tiles are an invaluable resource for exploring simple equation concepts and mathematical operations of positive and negative whole numbers. The positive red side and the negative white side allow students to discover the rules governing the inverse operations and build a strong foundation of algebraic reasoning.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Numbers and Operations
Interlocking 1 cm/1 g Cubes (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 04818 ($39.95).
This multipurpose set of cubes can be used with balance activities in which students can compare and measure the masses of objects using standard units. These cubes are supplied in 10 different colours and can be stacked for easier manipulation.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement; Numbers and Operations
Other Use: Mathematics: Elementary Level
Intermediate Link-a-Board Caddy Pack (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. X4069 ($84.96).
These geoboards can be used to develop concepts in geometry and measurement. The ability to link these 11x11 pin geoboards provides opportunities for four-coordinate graphing. These transparent boards can also be used for overhead demonstrations. Geobands, a teacher’s guide and a storage caddy with a clear locking lid are included with this set.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement; Numbers and Operations
Jayden's Rescue (Print-Fiction). Tumanov, Vladimir. Scholastic Canada Ltd. (SCH), 2002. 123 p. ISBN 0-439-98864-0 ($5.99 pbk.).
(CAN) This fictional fantasy skillfully weaves adventure and mathematical intrigue. Alex is plagued with mathematical troubles until a magic pencil appears. When the pencil disappears, a book entitled Jayden’s Rescue appears in its place. The book describes an evil king that is holding Queen Jayden captive in his castle. In order to save the imprisoned queen, three friends must embark on a quest that involves solving 400 mathematical problems before the end of summer camp. The mathematical riddles promote problem solving skills and interaction with the story. A solution is provided for each puzzle in the story.
Suggested Use: Grade 6; Grade 7; Grade 8; Problem Solving
Other Use: English Language Arts: Middle Level
Learning Math With Calculators: Activities for Grades 3-8 (Print-Non-Fiction). Sparrow, Len and Swan, Paul. Math Solutions Publications (MHR), 2001. 88 p. ISBN 0-322-08252-8 ($26.01 pbk.).
This resource is designed to facilitate appropriate calculator usage in mathematics. Following a clear and thorough explanation of the role and effective usage of calculators, this resource supplies a variety of activities for using calculators. The activities focus on the development of problem-solving strategies, mental calculation methods, estimation skills and number properties. This resource promotes building a strong understanding of numbers and sharing discoveries with peers. A list of references regarding calculator use is appended.
Suggested Use: Grade 6; Grade 7; Grade 8; Numbers and Operations; Problem Solving
Other Use: Mathematics: Elementary Level
Lessons for Algebraic Thinking: Grades 6-8 (Print-Non-Fiction). Lawrence, Ann and Hennessy, Charlie. (Lessons for Algebraic Thinking Series). Math Solutions Publications (PRN), 2002. 258 p. ISBN 0-941355-49-7 ($42.95 pbk.).
This resource is part of the three-volume series, Lessons for Algebraic Thinking, which fosters authentic applications for abstract concepts in algebra. Each chapter provides detailed lessons, suggested technology connections and samples of students’ work. The activity-based lessons develop the students’ understanding of relationships, variables and functions. Determining different solution strategies and various representations for data are promoted throughout this resource.
Suggested Use: Grade 7; Grade 8; Grade 9; Algebra; Teacher Reference
Lessons for Decimals and Percents: Grades 5-6 (Print-Non-Fiction). De Francisco, Carrie and Burns, Marilyn. (Teaching Arithmetic Series). Math Solutions Publications (PRN), 2002. 212 p. ISBN 0-941355-44-6 ($38.50 pbk.).
Compilations of lessons that foster the development of thinking and communicating mathematically are incorporated into this resource. Through problem-solving investigations, students become actively involved in relating decimals to fractions, representing decimal numbers and interpreting percents. Assessment techniques and opportunities to integrate literature are suggested throughout this resource. An index and a table of contents are also included.
Suggested Use: Grade 6; Numbers and Operations; Teacher Reference
Other Use: Mathematics: Elementary Level
Math for Humans: Teaching Math Through 8 Intelligences. Rev. ed. (Print-Non-Fiction). Wahl, Mark. LivnLern Press (PRN), 1999. 254 p. ISBN 0-9656414-8-1 ($48.50 pbk.).
This resource provides ideas and strategies for integrating different perspectives including the Multiple Intelligences, varying learning styles and cooperative learning into mathematics. The first section of this resource is a theoretical explanation of the perspectives and techniques for assessing different perspectives. The second section describes activities that highlight various Multiple Intelligences. Methods for extensions or adaptations are included in the numerous activities.
Please note that the measurement activities state Imperial measurements, but this is not a limiting factor.
Suggested Use: Grade 6; Grade 7; Grade 8; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Mathematics: Elementary Level
Math Homework That Counts: Grades 4-6 (Print-Non-Fiction). Raphel, Annette. Math Solutions Publications (PRN), 2000. 89 p. ISBN 0-941355-27-6 ($21.49 pbk.).
Creative homework assignments or extension activities are the focus of this teacher’s resource. The interactive activities have been divided into four categories: to provide practice, to prepare a foundation for upcoming mathematical concepts, to extend taught concepts or to emphasize creativity. The premise of the activities is to encourage critical and creative thinking rather than the practice of a computational skill through a series of questions on a worksheet. Literature selections and communicative activities are incorporated into several of the activities. This resource also includes a table of contents, samples of student work and a bibliography.
Suggested Use: Grade 6; Geometry/
Measurement; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Mathematics: Elementary Level
Math Matters: Understanding the Math You Teach, Grades K-6 (Print-Non-Fiction). Chapin, Suzanne H. and Johnson, Art. Math Solutions Publications (PRN), 2000. 256 p. ISBN 0-941-35526-8 ($40.50 pbk.).
This resource assists teachers to understand mathematical concepts and skills presented in the curriculum. Sections of this resource provide information on number sense, computation, the four operations, fractions, decimals, percents, algebra, geometry, measurement, statistics and probability. Following a brief introduction of each mathematical concept are activities designed to bridge theory and practice, a thorough discussion of the activities, and explanation of the relationships to other mathematical strands. This resource prompts teachers to question students at a higher level, explain ideas with increased clarity and build students’ knowledge of mathematical relationships.
Suggested Use: Grade 6; Algebra; Data Management; Geometry/Measurement; Numbers and Operations; Problem Solving; Ratio, Proportion and Percent; Teacher Reference
Other Use: Kindergarten; Mathematics: Elementary Level
Mathematicians and Mathematics History (Poster). Swetz, Frank and Waterman, Michael, illus. J. Weston Walch Pub. (JWWP), 1996. ISBN 0-8251-2800-5 ($17.95 U.S. set).
Each of these 12 posters depicts the contributions of mathematicians in the development and history of mathematics. The posters include a portrait and a brief biography. This resource includes mathematicians from a variety of cultures and both genders.
Suggested Use: Grade 8; Grade 9; General Reference
Other Use: Mathematics 10, 20; Mathematics: A30, B30, C30
Initiative: Gender Equity
Math-Vu Mirror (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 5910 ($2.99).
This reflective manipulative can be used to explore geometric figures. The semitransparent feature allows students to easily bisect angles and explore symmetry, transformations and congruence.
The included reflective enhancer card and protractor template are additional tools for discovering geometric properties.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement
Other Use: Mathematics: Elementary Level; Mathematics 10, 20; Mathematics: A30, B30, C30
Metric Tapes (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 2562 ($10.95).
These fiberglass metric tapes can be used in a variety of student investigations involving linear measurement. While predominately a measurement tool, metric tapes can also be used in the exploration of fractions and decimals. Each of these measuring devices spans 150 cm and is graduated in centimetres and millimetres.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement; Numbers and Operations
Other Use: Mathematics: Elementary Level
My Mathematical Life (CD-ROM). Sunburst Communications (SUN), 2002. Single site - Order no. T05258 ($129.95). Lab 10 - Order no. T05259 ($129.95).
System Requirements:
The Number Devil: A Mathematical Adventure (Print-Fiction). Enzensberger, Hans Magnus and Berner, Rotraut Susanne, illus. Henry Holt & Co., Inc. (FEN), 1998. 262 p. ISBN 0-8050-5770-6 ($25.95 hdc.).
Robert’s dreams transport him to a bizarre mathematical world. The Number Devil accompanies the 12-year-old boy in his nightly explorations of numbers and patterns. Their adventures lead to many discoveries and Robert’s eventual love of numbers. Throughout Robert’s dreams, the duo examines number concepts that include multiplication patterns, prime numbers, infinity, Fibonacci numbers and Pascal’s Triangle. Colorful illustrations and diagrams add visual interest to the clearly detailed mathematical concepts. This enchanting resource provides an excellent introduction to the charm and wonder of mathematics.
Suggested Use: Grade 8; Grade 9; Algebra; Numbers and Operations; Problem Solving
Other Use: Mathematics 10, 20; Mathematics: A30, B30, C30
Overhead Algebra Tiles Set (Manipulative). Pearson Education Canada (PRN), n.d. ISBN 0-321-14755-3 ($20.95).
These algebra tiles are a useful resource for exploring ratio, integer, polynomial, factoring and equation concepts. This tile set consists of 70 tiles in three different, incommensurable sizes. The transparent tiles serve as models for overhead demonstrations of algebraic concepts.
An included teacher’s guide supplies reproducible activities that utilize these algebra tiles.
Suggested Use: Grade 7; Grade 8; Grade 9; Algebra
Other Use: Mathematics 10, 20
Overhead Premier Pentominoes (Manipulative). Learning Resources, Inc. (EEP), 1994. Order no. 5319 ($5.23).
This 12-piece transparent set of pentominoes is suitable for overhead demonstrations. Pentominoes are an effective tool for teaching area, perimeter and spatial relationships.
An included teacher’s guide offers suggested uses for pentominoes.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement
Other Use: Mathematics: Elementary Level
Overhead Rainbow Fraction Tiles (Manipulative). Learning Resources, Inc. (EEP), n.d. Order no. 3740 ($12.41).
These colour-coded tiles are a suitable model for overhead demonstrations of fractional concepts.
An included teacher’s guide provides suggested activities for exploring equivalent relationships and identifying parts of a whole.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Numbers and Operations
Other Use: Mathematics: Elementary Level
Pattern Blocks for the Overhead (Manipulative). Pearson Education Canada (PRN), n.d. ISBN 0-321-14111-3 ($8.95).
This transparent set of pattern blocks can be used on the overhead projector to model concepts in patterning, measurement and geometry. The relationships among these six pieces make these blocks a powerful tool for developing concepts throughout the strands.
Suggested Use: Grade 6; Grade 7; Grade 8; Geometry; Measurement; Numbers and Operations; Problem Solving; Ratio and Proportion
Other Use: Kindergarten; Mathematics: Elementary Level
Plastic Pattern Blocks (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 3976 ($23.76).
These versatile manipulatives are powerful tools for concept development throughout the strand. With these six blocks, students can investigate geometric relationships, symmetry, patterns, measurement and fractional relationships. The blocks can also be used for sorting and pattern recognition.
Suggested Use: Grade 6; Grade 7; Grade 8; Geometry; Measurement; Numbers and Operations; Problem Solving; Ratio and Proportion
Other Use: Kindergarten; Mathematics: Elementary Level
Polydron: Platonic Solids (Manipulative). Polydron International Ltd. (SES), n.d. Order no. 45118 ($54.95).
This plastic set includes 32 equilateral triangles, 12 pentagons and 6 squares that snap together to create other two-dimensional figures and three-dimensional solids. This manipulative enhances students’ development of spatial sense through the construction of objects and investigations of angles, faces, edges and vertices.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement
Other Use: Mathematics: Elementary Level
Power Solids (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 10155 ($24.95).
This plastic set can be used to develop the concept of volume. Students can explore the relationships between shape, size and volume as they compare the amount of space each of these 14 geometric solids occupies. These clear hollow solids have a removable lid to allow for easy filling of wet or dry material.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement
Other Use: Mathematics: Elementary Level
Problem Solving Strategies: Crossing the River With Dogs and Other Mathematical Adventures. 2nd ed. (Print-Non-Fiction). Johnson, Ken and Herr, Ted. Key Curriculum Press (SES), 2001. 558 p. ISBN 1-55953-370-6 ($59.95 hdc.). Instructor's Resource Book and Answer Key - ISBN 1-55953-371-4 ($49.95 pbk.).
This resource is designed to demonstrate various methods that can be used to solve the same problem. Each chapter concentrates on the application of a particular strategy. The corresponding sets of problems provide a multitude of authentic applications for this strategy. The importance of students communicating their different solutions and their logical reasonings are stressed throughout this resource.
The accompanying instructor’s resource book and answer key supplements this invaluable resource. Please note that this resource contains Imperial Measurements.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Problem Solving
Other Use: Mathematics 10, 20; Mathematics: A30, B30, C30
Rainbow Fraction Tiles (Manipulative). Learning Resources, Inc. (EEP), n.d. Order no. 5725 ($13.39).
These colour-coded tiles can be used as a continuous model to introduce and explore fraction concepts. Students can use the proportional pieces to represent and construct equivalent relationships between a whole, halves, thirds, fourths, fifths, sixths, eighths, tenths and twelfths.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement
Other Use: Mathematics: Elementary Level
Rainbow Premier Pentominoes (Manipulative). Learning Resources, Inc. (EEP), n.d. Order no. 5318 ($22.82).
These multicoloured plastic puzzle pieces are a set of figures resulting from all the possible arrangements of five squares. Pentominoes can be used to explore area, perimeter, transformation, symmetry, congruence and tessellations. These six sets of pentominoes are conveniently packed in a clear storage container.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement
Other Use: Mathematics: Elementary Level
Sir Cumference and the Dragon of Pi: A Math Adventure (Print-Fiction). Neuschwander, Cindy and Geehan, Wayne, illus. Charlesbridge Publishing (MON), 1999. 32 p. ISBN 1-57091-164-9 ($10.95 pbk.).
Suffering from a stomachache, Sir Cumference mistakenly drinks a magic remedy that transforms him into a dragon. His son, Radius, valiantly searches the castle for the cure. His quest for the magic number that is the same for all circles (pi) involves determining the diameter and circumference of various circular objects. Radius, while measuring a fruit pie, discovers the ratio of a circle’s circumference to its diameter and the king is returned to his human form. It is declared that henceforth pie with an e will be for eating and pi without an e will be the name of this number for all things round. This medieval tale from the Math Adventure Series provides a clever introduction to the irrational number pi.
Suggested Use: Grade 6; Grade 7; Geometry/Measurement
Other Use: Mathematics: Elementary Level
Sir Cumference and the Great Knight of Angleland: A Math Adventure (Print-Fiction). Neuschwander, Cindy and Geehan, Wayne, illus. Charlesbridge Publishing (MON), 2001. 32 p. ISBN 1-57091-169-X ($12.95 pbk.).
To earn his knighthood, Radius embarks on a heroic quest to rescue the imprisoned King Lell. In his adventures beyond the Mountains of Obtuse, the hero employs measurement skills to navigate a labyrinth of angles and solve cryptic geometric puzzles. The gift of a circular medallion (a protractor) proves invaluable as Radius realizes its ability to measure the angles. Mathematical puns such as Lady Di of Ameter and Sir D’Grees are sure to amuse students. The inclusion of a circular medallion (protractor) allows students to interact with the story. This clever mathematical resource is Neushwander’s third mathematic adventure involving Sir Cumference and would be an asset to the study of geometry.
Suggested Use: Grade 6; Grade 7; Geometry/Measurement
Other Use: Mathematics: Elementary Level
So You Have to Teach Math?: Sound Advice for K-6 Teachers (Print-Non-Fiction). Burns, Marilyn and Silbey, Robyn. Math Solutions Publications (PRN), 2000. 121 p. ISBN 0-941355-29-2 ($25.95 pbk.).
This dynamic resource is a source of support for teachers of mathematics. The author supplies practical advice and guidance to frequently asked questions related to the teaching of mathematics. Methods for providing effective instruction and establishing a positive classroom environment are outlined in detail. Sample chapters focus on effective calculator usage, connecting with parents and leading class discussions. This resource provides an inspiring approach to teaching mathematics.
Suggested Use: Grade 6; Data Management; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Mathematics: Elementary Level
Super Fraction Circles (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 41594 ($13.95).
This set of coloured circles allows students to visually identify and construct equivalent relationships between halves, thirds, fourths, sixths, eighths, tenths, twelfths and a whole. Operations with like and unlike denominators could also be demonstrated with these fraction circles.
The included teacher’s resource outlines several suggestions for implementing fraction circles into mathematics lessons.
Suggested Use: Grade 6; Grade 7; Grade 8; Numbers and Operations
Other Use: Mathematics: Elementary Level
Table Blocks (Manipulative). Creative Publications (MHR), n.d. ISBN 1-56107-479-9 ($43.96).
These 84 colourful wooden blocks can be used in spatial geometry and measurement investigations. This set contains various sizes of cones, prisms, cylinders, cubes and pyramids.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement
Other Use: Mathematics: Elementary Level
TI-34 Calculator (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 203474 ($35.95).
This scientific calculator has Boolean logic operations. It also features decimal, hexadecimal, octal and binary number bases. This solar powered calculator performs order of operations with fractions, trigonometric and logarithmic functions.
Suggested Use: Grade 7; Grade 8; Grade 9; Algebra; Data Management; Numbers and Operations
TI-34 Viewscreen Calculator (Manipulative). Pearson Education Canada (PRN), n.d. ISBN 0-201-78441-6 ($105.00).
This TI-34 is a scientific calculator with Boolean logic operations. The viewscreen allows for overhead demonstrations of mathematical equations and functions.
Suggested Use: Grade 7; Grade 8; Grade 9; Algebra; Data Management; Numbers and Operations
The Token Gift (Print-Fiction). McKibbon, Hugh William and Cameron, Scott, illus. Annick Press (FIR), 1996. unp. ISBN 1-55037-499-0 ($16.95 hdc.).
This Persian legend explores the origins of a game similar to chess. Mohan invents a military strategy game that the king enjoys greatly. The king offers Mohan a reward for the gift of this game. After careful deliberation, Mohan asks for a “token,” a grain of rice that is doubled for each square on the chessboard. After readily agreeing, the king soon discovers through mathematical reasoning that the quantity of rice exceeds his supply and therefore the reward cannot be fulfilled. This plot parallels Birch’s The King’s Chessboard and Demi’s A Grain of Rice: A Mathematical Folktale. Warm oil paintings enrich this mathematical and moral tale. The afterword contains further information about the origins of chess.
Suggested Use: Grade 6; Grade 7; Algebra
Other Use: Mathematics: Elementary Level
Triple Beam Balance (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 2563 ($149.95).
This balance features three notched and tiered beams with a centre reading to accurately identify the mass of objects. The unrestricted metal platform allows for objects of varying size and shape to be measured. This balance includes one 500 g and two 1 kg auxiliary weights.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement
Other Use: Mathematics: Elementary Level
20 Thinking Questions for Fraction Circles: Grades 3-6 (Print-Non-Fiction). Walker, Kathryn, Reak, Cynthia and Stewart, Kelly. (20 Thinking Questions Series). Creative Publications (MHR), 1995. 81 p. ISBN 1-56107-798-4 ($27.94 spiral-bound).
Twenty explorations of fractions are featured in this resource. Students use fraction circles to solve open-ended questions with multiple solutions or solution methods. The questions are arranged from easiest to most difficult. The activities promote a communicative approach as students are encouraged to reflect on their understanding through journals and class discussions. This resource includes tips for helping students answer their own questions, teaching suggestions, sample discussion questions and guidelines.
Suggested Use: Grade 6; Numbers and Operations; Teacher Reference
Other Use: Mathematics: Elementary Level
20 Thinking Questions for Fraction Circles: Grades 6-8 (Print-Non-Fiction). Reak, Cynthia, Stewart, Kelly and Walker, Kathryn. The Wright Group/McGraw-Hill (MHR), 1995. 81 p. ISBN 1-56107-803-4 ($38.75 spiral-bound).
The resource features 20 open-ended questions for students to answer using fraction circles. Following each question, there are teacher notes indicating what to look for in students’ work, suggested questions for discussion and topics for journal writing. The questions are sequenced from easiest to most difficult. Use of this resource, involves students in experiential learning investigations as well as critical and creative thinking.
Suggested Use: Grade 6; Grade 7; Grade 8; Numbers and Operations; Ratio and Proportion; Teacher Reference
Two-Coloured Counters (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 11965 ($10.95).
These plastic counters are red on one side and yellow on the other side. These counters can be used to build mathematical understandings in data management, fractions, probability, counting and integers.
An included teacher’s guide provides sample activities.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Data Management; Numbers and Operations
Other Use: Mathematics: Elementary Level
Wooden Geometric Solids: Advanced Set (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 11866 ($22.95).
These geometric solids can be used to analyze the properties of three-dimensional objects and relate these to Euler's formula. This set includes a model of a sphere, a cube, a rectangular prism, a square prism, a cone, an octagonal pyramid, a hexagonal pyramid, a pentagonal pyramid and a rectangular pyramid.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement
The Write Math: Writing About Math in the Classroom (Print-Non-Fiction). Krpan, Cathy Marks. Seymour, Dale Pubns. (PRN), 2001. 94 p. ISBN 0-7690-2505-6 ($24.95 pbk.).
This resource provides ideas and strategies for integrating writing into mathematics. Suggested writing explorations and writing formats guide students’ communication of mathematical understanding and insights. This resource includes samples of student writing, black-line masters, and a table of contents.
Suggested Use: Grade 6; Grade 7; Grade 8; Geometry/Measurement; Numbers and Operations; Problem Solving; Teacher Reference
Other Use: Mathematics: Elementary Level
. Algebra Stars (CD-ROM). Sunburst Communications (EDRS), 2001. Order numbers follow.
Algebra Tiles: Class Set (Manipulative). Pearson Education Canada (PRN), n.d. ISBN 0-321-14754-5 ($149.95).
This manipulative resource is useful for exploring ratio, integer, polynomial, factoring and equation concepts. This resource includes 30 student sets, each containing four squared variables, eight variables and twenty constants. The x-tiles include units (1 x 1), x-tiles (1 x x) and x 2 tiles (x x x). The y-tiles include y-tiles (1 xy), xy-tiles (x x y) and y 2 tiles (y x y). Positive quantities are represented by the colours yellow, green and blue; negative quantities are represented by the colour red.
Suggested Use: Mathematics 10 - Review of Algebraic Skills; Linear Equations and Inequalities; Mathematics 20 - Polynomials and Rational Expressions; Quadradic Equations
Other Use: Mathematics: Middle Level
CircleTrig Geoboard (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 64071 ($12.95).
This two-sided plastic geoboard can be used to develop concepts in geometry, measurement and algebra. The circular side provides scales for measuring angles and trigonometry values. The square on the alternate side allows for the exploration of concepts in geometry and algebra.
A teacher’s booklet includes suggested activities, geoboard paper and a geoboard record sheet.
Suggested Use: Mathematics 10 - Angles and Polygrams; Mathematics 20 - Angles and Polygrams
Other Use: Mathematics: A30, B30, C30
Concert Tour Entrepreneur (CD-ROM). Sunburst Communications (EDRS), 2001. Order numbers follow.
Dice Kit (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 3453 ($47.58).
This set contains a variety of twenty-, twelve-, ten-, eight-, six- and four-sided dice. These number cubes are an invaluable resource for games and investigations involving number concepts and operations, data generating and analysis, integers and probability.
Suggested Use: Mathematics 10 - General; Mathematics 20 - General
Other Use: Mathematics: Elementary Level; Mathematics: Middle Level; Mathematics: A30, B30, C30
Geometry Labs (Print-Non-Fiction). Picciotto, Henri. Key Curriculum Press (SES), 1999. 248 p. ISBN 1-55953-361-7 ($33.95 pbk.).
This dynamic resource features activities that focus on building critical thinking skills in geometry. Through the use of manipulative materials, students investigate problems relating to angles, polygons, symmetry, the Pythagorean Theorem, area and volume. Each activity is followed by questions that could be used to provoke further class discussion or as a means of assessing mathematical understanding. An answer key and black-line masters are included.
Suggested Use: Mathematics 10 - Angles and Polygons; Mathematics 20 - Angles and Polygons
Other Use: Mathematics: Middle Level
Mathematicians and Mathematics History (Poster). Swetz, Frank and Waterman, Michael, illus. J. Weston Walch Pub. (JWWP), 1996. ISBN 0-8251-2800-5 ($17.95 U.S. set).
Each of these 12 posters depicts the contributions of mathematicians in the development and history of mathematics. The posters include a portrait and a brief biography. This resource includes mathematicians from a variety of cultures and both genders.
Suggested Use: Mathematics 10 - General Reference; Mathematics 20 - General Reference
Other Use: Mathematics: Middle Level; Mathematics: A30, B30, C30
Initiative: Gender Equity
Mathematics: Making Financial Decisions 11 (Print-Non-Fiction). Brousseau, Jeff, et al. McGraw-Hill Ryerson Limited (MHR), 2001. 458 p. ISBN 0-07-086488-8 ($60.85 hdc.). Teacher's Resource - ISBN 0-07-089681-X ($262.50 loose-leaf).
(CAN) This student-based resource provides current investigations in consumer mathematics. The real-world examples and applications contain Canadian content. The chapters focus on budgeting, interest annuities, mortgages and exponential growth. Throughout the resource, sets of discussion problems and accompanying case studies provide an authentic learning context for applying the learned concepts. Each chapter concludes with a profile of a career that utilizes the studied mathematical concepts. An appendix and a glossary list the mathematical terms and the resource’s references to technology.
An included interactive e-book provides the student text in PDF form with search capabilities.
The teacher’s resource supports the student resource of the same title. For each text chapter there is a suggested plan that outlines sample responses to the student investigations, assessment strategies, and remedies for common student errors. The real-world examples and applications of consumer mathematics contain Canadian content.
The included CD-ROM package contains a student e-book, teaching notes, an assessment resource kit and practice masters.
Suggested Use: Mathematics 10 - Consumer Mathematics; Mathematics 20 - Consumer Mathematics
Other Use: Mathematics: A30, B30, C30
Initiative: Career Development
Math-Vu Mirror (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 5910 ($2.99).
This reflective manipulative can be used to explore geometric figures. The semitransparent feature allows students to easily bisect angles and explore symmetry, transformations and congruence.
The included reflective enhancer card and protractor template are additional tools for discovering geometric properties.
Suggested Use: Mathematics 10 - Angles and Polygons; Mathematics 20 - Angles and Polygons
Other Use: Mathematics: Elementary Level; Mathematics: Middle Level; Mathematics: A30, B30, C30
My Mathematical Life (CD-ROM). Sunburst Communications (SUN), 2002. Single site - Order no. T05258 ($129.95). Lab 10 - Order no. T05259 ($129.95).
System Requirements:
The Number Devil: A Mathematical Adventure (Print-Fiction). Enzensberger, Hans Magnus and Berner, Rotraut Susanne, illus. Henry Holt & Co., Inc. (FEN), 1998. 262 p. ISBN 0-8050-5770-6 ($41.95 hdc.).
Robert’s dreams transport him to a bizarre mathematical world. The Number Devil accompanies the 12-year-old boy in his nightly explorations of numbers and patterns. Their adventures lead to many discoveries and Robert’s eventual love of numbers. Throughout Robert’s dreams, the duo examines number concepts that include multiplication patterns, prime numbers, infinity, Fibonacci numbers and Pascal’s Triangle. Colorful illustrations and diagrams add visual interest to the clearly detailed mathematical concepts. This enchanting resource provides an excellent introduction to the charm and wonder of mathematics.
Suggested Use: Mathematics 10 - Review of Algebraic Skills; Mathematics 20 – Polynomials and Rational Expressions; Irrational Numbers; Probability
Other Use: Mathematics: Middle Level; Mathematics: A30, B30, C30
One Equals Zero and Other Mathematical Surprises: Paradoxes, Fallacies, and Mind Bogglers (Print-Non-Fiction). Movshovitz-Hadar, Nitsa and Webb, John. Key Curriculum Press (SES), 1998. 168 p. ISBN 1-55953-309-9 ($24.95 pbk.).
As indicated by the title, this resource is designed to provoke discussion of the common paradoxes and fallacies that often occur in mathematical discussions. Each of the activities presents a problem for students to identify and then debate the mathematical error. Non-permissible values, geometric contradictions, dividing by zero and arguments that lead to impossible claims are some of many explored concepts. These reproducible activities are an engaging method for introducing or reinforcing concepts. A matrix of the concepts and a list of recommended readings are also included.
Suggested Use: Mathematics 20 - Algebraic Skills; Angles and Polygons; Quadratic Functions
Other Use: Mathematics: A30, B30, C30
Overhead Algebra Tiles Set (Manipulative). Pearson Education Canada (PRN), n.d. ISBN 0-321-14755-3 ($20.95).
These algebra tiles are a useful resource for exploring ratio, integer, polynomial, factoring and equation concepts. This tile set consists of 70 tiles in three different, incommensurable sizes. The transparent tiles serve as models for overhead demonstrations of algebraic concepts.
An included teacher’s guide supplies reproducible activities that utilize these algebra tiles.
Suggested Use: Mathematics 10 - Linear Equations and Inequations; Review of Algebraic Skills; Mathematics 20 - Polynomials and Rational Expressions; Quadratic Equations
Other Use: Mathematics: Middle Level
Problem Solving Strategies: Crossing the River With Dogs and Other Mathematical Adventures. 2nd ed. (Print-Non-Fiction). Johnson, Ken and Herr, Ted. Key Curriculum Press (SES), 2001. 558 p. ISBN 1-55953-370-6 ($59.95 hdc.). Instructor's Resource Book and Answer Key - ISBN 1-55953-371-4 ($49.95 pbk.).
This resource is designed to demonstrate various methods that can be used to solve the same problem. Each chapter concentrates on the application of a particular strategy. The corresponding sets of problems provide a multitude of authentic applications for this strategy. The importance of students communicating their different solutions and their logical reasonings are stressed throughout this resource.
The accompanying instructor’s resource book and answer key supplement this invaluable resource.
Please note that this resource contains Imperial Measurements.
Suggested Use: Mathematics 10 - Angles and Polygons; Linear Equations and Inequations; Relations, Linear Functions and Variation; Review of Algebraic Skills; Mathematics 20 - Angles and Polygons; Probability; Polynomials and Rational Expressions; Quadratic Equations
Other Use: Mathematics: Middle Level; Mathematics: A30, B30, C30
RADE Student Package (Manipulative). Curriculum Innovations (CNN), n.d. Order no. RS30 ($90.00).
The five protractors in this set are valuable visual geometric models. The circular protractors have scales in radians, exact and decimal form, as well as degrees. Each protractor allows for full circular measurements of angles and includes a six centimetre straight edge within the circle.
Suggested Use: Mathematics 10 - Angles and Polygons; Mathematics 20 - Angles and Polygons
Other Use: Mathematics: A30, B30, C30
TI-83 Graphing Calculator and Viewscreen Pack (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 45702 ($525.00).
The TI-83 graphing calculator is ideal for study in algebra, geometry, finance and advanced statistics. The viewscreen panel works with an overhead projector to enlarge and project the calculator screen to the students.
Suggested Use: Mathematics 10 - General; Mathematics 20 - General
Other Use: Mathematics: A30, B30, C30
TI-83 Graphing Calculator Plus (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 56746 ($176.95).
This graphing calculator includes advanced statistics and business features. The included link cable allows for data sharing with another TI-83 Plus and from a TI-82 to a TI-83 Plus. This calculator is enhanced with Flash technology and six times more memory than the TI-83.
Suggested Use: Mathematics 10 - General Mathematics 20 - General
Other Use: Mathematics: A30, B30, C30
. CircleTrig Geoboard (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 64071 ($12.95).
This two-sided plastic geoboard can be used to develop concepts in geometry, measurement and algebra. The circular side provides scales for measuring angles and trigonometry values. The square on the alternate side allows for the exploration of concepts in geometry and algebra.
A teacher’s booklet includes suggested activities, geoboard paper and a geoboard record sheet.
Suggested Use: Mathematics A30 - Angles and Polygons; Mathematics C30 - Circular Functions
Other Use: Mathematics 10, 20
Dice Kit (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 3453 ($47.58).
This set contains a variety of twenty-, twelve-, ten-, eight-, six- and four-sided dice. These number cubes are an invaluable resource for games and investigations involving number concepts and operations, data generating and analysis, integers and probability.
Suggested Use: Mathematics A30 - General; Mathematics B30 - General; Mathematics C30 - General
Other Use: Mathematics: Elementary Level; Mathematics: Middle Level; Mathematics 10, 20
MASTERMIND Mathematics: Logic, Strategies, and Proofs (Print-Non-Fiction). Mitchell, Mathew. Key Curriculum Press (SES), 1999. 102 p. ISBN 1-55953-319-6 ($22.95 pbk.).
Designed to complement the strategic game MASTERMIND, this resource connects strategies used to play the game to the development of proofs and problem solving skills. Students use logical analysis and deductive reasoning to determine the correct permutations of four coloured pegs chosen by the other player.
Suggested Use: Mathematics A30 - Permutations and Combinations; Mathematics C30 - Mathematical Proof
Mathematicians and Mathematics History (Poster). Swetz, Frank and Waterman, Michael, illus. J. Weston Walch Pub. (JWWP), 1996. ISBN 0-8251-2800-5 ($17.95 U.S. set).
Each of these 12 posters depicts the contributions of mathematicians in the development and history of mathematics. The posters include a portrait and a brief biography. This resource includes mathematicians from a variety of cultures and both genders.
Suggested Use: Mathematics A30 - General Reference; Mathematics B30 - General Reference; Mathematics C30 - General Reference
Other Use: Mathematics: Middle Level; Mathematics 10, 20
Initiative: Gender Equity
Mathematics: Making Financial Decisions 11 (Print-Non-Fiction). Brousseau, Jeff, et al. McGraw-Hill Ryerson Limited (MHR), 2001. 458 p. ISBN 0-07-086488-8 ($60.85 hdc.). Teacher's Resource - ISBN 0-07-089681-X ($262.50 loose-leaf).
(CAN) This student-based resource provides current investigations in consumer mathematics. The real-world examples and applications contain Canadian content. The chapters focus on budgeting, interest annuities, mortgages and exponential growth. Throughout the resource, sets of discussion problems and accompanying case studies provide an authentic learning context for applying the learned concepts. Each chapter concludes with a profile of a career that utilizes
the studied mathematical concepts. An appendix and a glossary list the mathematical terms and the resource’s references to technology.
An included interactive e-book provides the student text in PDF form with search capabilities.
The teacher’s reource supports the student resource of the same title. For each text chapter there is a suggested plan that outlines sample responses to the student investigations, assessment strategies, and remedies for common student errors. The real-world examples and applications of consumer mathematics contain Canadian content.
The included CD-ROM package contains a student e-book, teaching notes, an assessment resource kit and practice masters.
Suggested Use: Mathematics B30 - Exponential and Logarithmic Functions
Other Use: Mathematics 10, 20
Initiative: Career Development
Math-Vu Mirror (Manipulative). Exclusive Educational Products (EEP), n.d. Order no. 5910 ($2.99).
This reflective manipulative can be used to explore geometric figures. The semitransparent feature allows students to easily bisect angles and explore symmetry, transformations and congruence.
The included reflective enhancer card and protractor template are additional tools for discovering geometric properties.
Suggested Use: Mathematics A30 - Relations and Functions; Mathematics B30 - Data Analysis; Polynomial and Rational Functions; Mathematics 30 - Conic Sections
Other Use: Mathematics: Elementary Level; Mathematics: Middle Level; Mathematics 10, 20
My Mathematical Life (CD-ROM). Sunburst Communications (SUN), 2002. Single site - Order no. T05258 ($129.95). Lab 10 - Order no. T05259 ($129.95).
System Requirements:
The Number Devil: A Mathematical Adventure (Print-Fiction). Enzensberger, Hans Magnus and Berner, Rotraut Susanne, illus. Henry Holt & Co., Inc. (FEN), 1998. 262 p. ISBN 0-8050-5770-6 ($25.95 hdc.).
Robert’s dreams transport him to a bizarre mathematical world. The Number Devil accompanies the 12-year-old boy in his nightly explorations of numbers and patterns. Their adventures lead to many discoveries and Robert’s eventual love of numbers. Throughout Robert’s dreams, the duo examines number concepts that include multiplication patterns, prime numbers, infinity, Fibonacci numbers and Pascal’s Triangle. Colorful illustrations and diagrams add visual interest to the clearly detailed mathematical concepts. This enchanting resource provides an excellent introduction to the charm and wonder of mathematics.
Suggested Use: Mathematics A30 - General; Mathematics B30 - General; Mathematics C30 - General
Other Use: Mathematics: Middle Level; Mathematics 10, 20
One Equals Zero and Other Mathematical Surprises: Paradoxes, Fallacies, and Mind Bogglers (Print-Non-Fiction). Movshovitz-Hadar, Nitsa and Webb, John. Key Curriculum Press (SES), 1998. 168 p. ISBN 1-55953-309-9 ($24.95 pbk.).
As indicated by the title, this resource is designed to provoke discussion of the common paradoxes and fallacies that often occur in mathematical discussions. Each of the activities present a problem for students to identify and then debate the mathematical error. Non-permissible values, geometric contradictions, dividing by zero and arguments that lead to impossible claims are some of many explored concepts. These reproducible activities are an engaging method for introducing or reinforcing concepts. A matrix of the concepts and a list of recommended readings are also included.
Suggested Use: Mathematics A30 - Exponents and Radicals; Permutations and Combinations; Polynomials and Rational Expressions; Mathematics B30 - Probability; Mathematics C30 - Mathematical Proof
Other Use: Mathematics 10, 20
Problem Solving Strategies: Crossing the River With Dogs and Other Mathematical Adventures. 2nd ed. (Print-Non-Fiction). Johnson, Ken and Herr, Ted. Key Curriculum Press (SES), 2001. 558 p. ISBN 1-55953-370-6 ($59.95 hdc.). Instructor's Resource Book and Answer Key - ISBN 1-55953-371-4 ($49.95 pbk.).
This resource is designed to demonstrate various methods that can be used to solve the same problem. Each chapter concentrates on the application of a particular strategy. The corresponding sets of problems provide a multitude of authentic applications for this strategy.
The importance of students communicating their different solutions and their logical reasonings are stressed throughout this resource.
The accompanying instructor’s resource book and answer key supplement this invaluable resource.
Please note that this resource contains Imperial Measurements.
Suggested Use: Mathematics A30 - General; Mathematics B30 - General; Mathematics C30 - General; Mathematical Proof
Other Use: Mathematics: Middle Level; Mathematics 10, 20
RADE Student Package (Manipulative). Curriculum Innovations (CNN), n.d. Order no. RS30 ($90.00).
The set of five protractors in this set are valuable visual geometric models. The circular protractors have scales in radians, exact and decimal form, as well as degrees. Each protractor allows for full circular measurements of angles and includes a six centimetre straight edge within the circle.
Suggested Use: Mathematics A30 - Angles and Polygons; Mathematics C30 - Applications of Trigonometry; Circular Functions
Other Use: Mathematics 10, 20
TI-83 Graphing Calculator and Viewscreen Pack (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 45702 ($525.00).
The TI-83 graphing calculator is ideal for study in algebra, geometry, finance and advanced statistics. The viewscreen panel works with an overhead projector to enlarge and project the calculator screen to the students.
Suggested Use: Mathematics A30 - General; Mathematics B30 - General; Mathematics C30 - General
Other Use: Mathematics 10, 20
TI-83 Graphing Calculator Plus (Manipulative). Spectrum Educational Supplies Limited (SES), n.d. Order no. 56746 ($176.95).
This graphing calculator includes advanced statistics and business features. The included link cable allows for data sharing with another TI-83 Plus and from a TI-82 to a TI-83 Plus. This calculator is enhanced with Flash technology and six times more memory than the TI-83.
Suggested Use: Mathematics A30 - General; Mathematics B30 - General; Mathematics C30 - General
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