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About Teaching Mathematics: A K-8 Resource. 2nd ed. (Print-Non-Fiction). Burns, Marilyn. Math Solutions Publications (PRN), 2000. 348 p. ISBN 0-941355-25-X ($53.50 pbk.).
This revised edition is an indispensable resource for guiding the teaching and learning of mathematics. Supports for developing mathematical understandings are immersed in the resource’s four parts: “Raising the Issues,” “Problem-Solving Activities in the Strands,” “Teaching Arithmetic,” and “Mathematical Discussions.” A bibliography, blackline masters, numerous activity-based explorations, and assessment strategies complement this resource. This comprehensive resource presents methods for effective instruction that promotes understanding of mathematics rather than the rote memory of rules and algorithms.
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
Algebraic Reasoning: Professor Arbegla Introduces Variables and Functions: GEMS Teacher's Guide for Grades 3-5 (Print-Non-Fiction). Kopp, Jaine and Bergman, Lincoln. (Great Explorations in Math and Science Series). Lawrence Hall of Science #5200 (SES), 2003. 140 p. ISBN 0-924886-70-6 ($28.95 pbk.).
The fictitious Professors Arbegla and LaBarge introduce students to numerous problems that require critical thinking and algebraic reasoning to unravel. “Malfunctioning” machines and special scales pose mathematical challenges in which students identify patterns and the relationships between numbers. Explorations of the distributive property, the identity property, inverse operations, and the commutative property outlined in this resource develop students’ mental addition and multiplication skills.
Suggested Use: Grade 3; Grade 4; Grade 5; Measurement; Numbers and Operations
Arithme-Tickle: An Even Number of Odd Riddle-Rhymes. 1st ed. (Print-Non-Fiction). Lewis, J. Patrick and Remkiewicz, Frank, illus. Harcourt, Inc. (RAI), 2002. 32 p. ISBN 0-15-216418-9 ($22.95 hdc.).
Zany word play and mathematical problems combine to create hilarious riddles. The 18 puzzles challenge readers’ operational sense and number relationships. The riddles, written on a blue-lined notebook paper with the solution printed beneath in reverse type, enhance problem-solving skills. Humourous illustrations add to the amusing mathematical dilemmas!
Please note that Imperial Measurements are included, but this is not a limiting factor.
Suggested Use: Grade 2; Grade 3; Grade 4; Grade 5; Numbers and Operations; Problem Solving
The Boll Weevil Ball. 1st ed. (Print-Fiction). Murphy, Kelly. Henry Holt & Co., Inc. (FEN), 2002. unp. ISBN 0-8050-6712-4 ($22.95 hdc.).
In this insect version of Cinderella, a small beetle is considered too small and unimportant to attend the prestigious Boll Weevil Ball. As his two pretentious brothers primp for the event, Redd is pushed aside and forgotten. Undeterred, Redd manages to arrive at the ball only to face the danger of being trampled upon by waltzing critters. A chance encounter with a friendly firefly teaches Redd that size is irrelevant; it is your actions that measure your worth. Detailed illustrations depicting varying perspectives explore concepts in ratio and proportion.
Suggested Use: Grade 1; Grade 2; Measurement
Other Use: English Language Arts: Elementary Level
Children Are Mathematical Problem Solvers (Print-Non-Fiction). Sakshaug, Lynae, Olson, Melfried and Olson, Judith. National Council of Teachers of Mathematics (NCTM), 2002. 99 p. ISBN 0-87353-529-4 ($23.95 U.S. pbk.).
Emphasizing problem solving as the foundation of mathematical understanding, the 29 activities challenge students to reason and communicate their understandings. Originating from National Council of Teachers of Mathematics journals, these activities stretch beyond translation problems to offer authentic tasks that can be solved using varying methods. The open-ended problems stem from a range of strands, and the resource guides teachers in their presentation through sample questions, examples of students’ work, and assessment techniques.
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: Mathematics: Middle Level
Dinnertime! (Print-Fiction). Williams, Sue and Argent, Kerry, illus. Harcourt, Inc. (SES), 2001. unp. ISBN 0-15-216471-5 ($26.00 hdc.).
A hungry fox is on the prowl for a delicious rabbit dinner. One by one, six rabbits narrowly escape from the persistent fox. The accompanying illustrations highlight the successive subtraction pattern and different combinations for sums one to six. Observant readers will identify an equivalent number of background critters to the rabbits on each two-page spread. The catchy refrain and surprise ending add to this action-packed story.
Suggested Use: Grade 1; Grade 2; Numbers and Operations
Other Use: Kindergarten
Ed Emberley's Picture Pie 2: A Drawing Book and Stencil (Print-Non-Fiction). Emberley, Ed. Little, Brown and Co. (FEN), 1996. unp. ISBN 0-316-23458-3 ($13.95 pbk.).
Renowned illustrator Ed Emberley has created yet another artistic resource that has endless applications for the development of geometry, measurement, and fractional concepts. Illustrations of flora, animals, and machines are all created by simple planar figures. The enclosed stencil allows readers to combine circles, squares, and triangles to reconstruct Emberley’s two-dimensional designs.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Geometry; Measurement; Numbers and Operations
Other Use: Arts Education: Elementary Level
Extending the Challenge in Mathematics: Developing Mathematical Promise in K-8 Students (Print-Non-Fiction). Sheffield, Linda Jensen. Corwin Press, Inc. (LBR), 2003. 150 p. ISBN 0-7619-3851-6 ($40.95 pbk.).
Presenting engaging problems that are context and content based, the author demonstrates methods for developing mathematical understanding. Each investigation is supported with open-ended questions to guide mathematical communication and probing assessment questions that relate to the objectives. Not restricted for only the gifted, this resource explores problem-solving activities for each of the strands that are applicable for all students.
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: Mathematics: Middle Level
Family Math for Young Children: Comparing (Print-Non-Fiction). Coates, Grace Dávila, Stenmark, Jean Kerr and Craig, Rose, illus. Lawrence Hall of Science #5200 (MHR), 1997. 195 p. ISBN 0-912511-27-3 ($32.54 pbk.).
Although designed as a resource to assist families with teaching their children mathematical concepts, the activities are also suitable for classroom use. The theme of comparing is integrated with investigations in counting, measurement, geometry, patterning, and operational sense. This practical resource encourages students to communicate and represent their mathematical understandings through co-operative learning and exploratory learning experiences.
Suggested Use: Grade 1; Grade 2; Grade 3; Geometry; Measurement; Numbers and Operations; Problem Solving
Other Use: Kindergarten
Five Creatures (Video). Jenkins, Emily and Bogacki, Tomek, illus. Weston Woods (MGR), 2002. 7 min. Dup. order no. V3252. Program Guide - Order no. G3252 ($0.44 loose-leaf).
This program adapted from the book by Emily Jenkins encourages viewers to look at families in unusual new ways: type of creature, size, hair colour, eating habits, and bathing preferences. The pastel illustrations help to create a portrait of a warm and loving family. Five Creatures provides valuable support for teaching grouping, classifying, and Venn diagrams.
A program guide can be obtained at Media Group or at the following address: www.teacher.scholastic.com/products/westonwoods.
Suggested Use: Grade 2; Grade 3; Data Management and Analysis
Other Use: English Language Arts: Elementary Level; Kindergarten
Grandfather Tang's Story (Print-Fiction). Tompert, Ann and Parker, Robert Andrew, illus. Crown Publishers Inc. (RAN), 1997. unp. ISBN 0-517-88558-1 ($9.50 pbk.).
This Chinese folktale recounts two competitive, but lovable, foxes who possess the ability to transform themselves into a variety of animals. Seven tangrams are cleverly arranged to depict the various characters. Gentle watercolour illustrations complement this enchanting tale. An included tangram template allows readers to recreate the featured geometric configurations.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry; Problem Solving
Initiative: Multicultural Content and Perspectives
How to Use Children's Literature to Teach Mathematics (Print-Non-Fiction). Welchman-Tischler, Rosamond. National Council of Teachers of Mathematics (NCTM), 1992. 75 p. ISBN 0-87353-349-6 ($18.95 U.S. pbk.).
Using picture books as a springboard to develop mathematics concepts, this resource promotes a problem-solving and communicative approach to instruction. The resource is organized to demonstrate different methods for creating mathematical connections. Each chapter contains examples of two to four resources, with a summary of each book, mathematics activities, blackline masters, and extending investigations. This interdisciplinary approach introduces, develops, and reinforces mathematics concepts outlined in the five strands.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Data Management and Analysis; Geometry; Measurement; Numbers and Operations; Problem Solving
I Knew Two Who Said Moo: A Counting and Rhyming Book. 1st ed. (Print-Fiction). Barrett, Judi and Moreton, Daniel, illus. Atheneum Publications (SHU), 2000. unp. ISBN 0-689-82104-2 ($23.50 hdc.).
Nonsensical verses and animals in precarious situations combine to create a humourous counting resource. Each number, from one to ten, is featured in a rhyming verse and lively illustrations. A close inspection of each scenario will reveal counting opportunities and hidden numerals.
Suggested Use: Grade 1; Numbers and Operations
Other Use: Kindergarten
If the World Were a Village: A Book About the World's People. Updated ed. (Print-Non-Fiction). Smith, David J. and Armstrong, Shelagh, illus. Kids Can Press (UTP), 2003. 32 p. ISBN 1-55074-779-7 ($15.95 hdc.).
Viewing the world as a village of only 100 people leads students to understand global population growth. In this global village, 22 people would speak Chinese, 20 people would earn less than a dollar a day, and 60 people would always be hungry. Through quantitative comparison, Canadian students can gain a sense of their global identity. This is an excellent and thought-provoking resource that can be used at several grade levels.
Previously listed in the 2003 Learning Resource Materials Update, this updated edition contains more recent statistics.
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
In All Probability: Investigations in Probability and Statistics: Teacher's Guide (Print-Non-Fiction). Cuomo, Celia. (Great Explorations in Math and Science Series). Lawrence Hall of Science #5200 (SES), 1993. 91 p. ISBN 0-924886-03-X ($19.95 pbk.).
Active explorations of statistics, graphing, and probability are featured in this clearly organized resource. Ample illustrations and descriptions of instructional strategies are included to support and guide instruction in generating data, communicating reasoning, predicting, and drawing conclusions. A section that provides background information for educators, assessment strategies, and blackline masters are included. Through an inquiry-based approach, this resource develops logical thinking skills and provides insight into how probability and statistics relate to students and their environment.
Suggested Use: Grade 3; Grade 4; Grade 5; Data Management and Analysis
Other Use: Mathematics: Middle Level
Just a Little Bit (Print-Fiction). Tompert, Ann and Munsinger, Lynn, illus. Houghton Mifflin Company (ALL), 1993. unp. ISBN 0-395-77876-X ($9.95 pbk.).
A fun afternoon in the park is disrupted as Mouse and Elephant, due to their disproportionate masses, are unable to balance the seesaw. One by one, a giraffe, a zebra, a lion, a bear, a crocodile, a monkey, an ostrich, and even a mongoose push down on Mouse’s side. The addition of a tiny beetle finally hoists the elephant into the air. This predictable tale, accented with charming characters, is a playful introduction to concepts of mass and equivalence.
Suggested Use: Grade 1; Grade 2; Measurement
Other Use: Kindergarten
Lessons Learned From Research (Print-Non-Fiction). Sowder, Judith and Schappelle, Bonnie, eds. National Council of Teachers of Mathematics (NCTM), 2002. 219 p. ISBN 0-87353-526-X ($33.95 U.S. pbk.).
Twenty-eight mathematics education research reports, originally published in National Council of Teachers of Mathematics Journal for Research in Education, highlight valuable findings for improving teaching. Divided into teaching, learning, curriculum, and assessment sections, each of the articles features an abstract, the research, and a footnote stating the source of the original article. Serving as an excellent resource for professional development, Lessons From Research provides insights into the motivation, concept development, and assessment of students.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Teacher Reference
Other Use: Mathematics: Middle Level; Mathematics 10, 20
The Lunch Line (Print-Fiction). Nagel, Karen Berman and Zimmerman, Jerry, illus. (Hello Math Reader: Level 3 Series). Scholastic Inc. (SCH), 1996. unp. ISBN 0-590-60246-2 ($4.50 pbk.).
At the school cafeteria, Karen must determine her lunch options that add to or are less than a dollar. A posted menu allows readers to offer other delectable possibilities that equal two quarters and five dimes. The bold, cartoonlike illustrations add to this delightful story of understanding the value and relationships between coins. Appended activities and games provide further explorations to develop the concept of money.
Suggested Use: Grade 2; Grade 3; Grade 4; Measurement
Making Sense of Fractions, Ratios, and Proportions: 2002 Yearbook (Print-Non-Fiction). Litwiller, Bonnie and Bright, George, eds. National Council of Teachers of Mathematics (NCTM), 2002. 261 p. ISBN 0-87353-519-7 ($39.95 U.S. pbk.).
The 2002 National Council of Teachers of Mathematics yearbook contains scholarly articles that provide insights and suggestions for enhancing students’ conceptual understanding of fractions, ratios, and proportions. The contents of the yearbook span the Elementary and Middle Levels and range in depth. A section entitled “Classroom Challenges” contains open-ended problems for use in the classroom.
The companion booklet presents activities that illustrate authors’ comments in the yearbook and ones that provide alternate instructional strategies for concept attainment
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Grade 5; Numbers and Operations; Teacher Reference
Other Use: Mathematics: Middle Level
Math Appeal: Mind-Stretching Math Riddles. 1st ed. (Print-Fiction). Tang, Greg and Briggs, Harry, illus. Scholastic Inc. (SCH), 2003. unp. ISBN 0-439-21046-1 ($24.99 hdc.).
Brightly illustrated, this resource features clever riddles that demonstrate mental calculation strategies in context. Each two-page spread poses a mathematical problem with a helpful hint for developing computational fluency in addition. The accompanying illustration depicts a pattern to help readers visualize the strategy. The author of The Grapes of Math has once again developed an engaging resource that envelops readers in a problem-solving environment.
Suggested Use: Grade 2; Grade 3; Grade 4; Numbers and Operations; Problem Solving
Math Is Language Too: Talking and Writing in the Mathematics Classroom (Print-Non-Fiction). Whitin, Phyllis and Whitin, David J. National Council of Teachers of English (NCTE), 2000. 104 p. ISBN 0-8141-2134-9 ($21.95 U.S. pbk.).
A joint publication by the National Council of Teachers of Mathematics and the National Council of Teachers of English, this resource highlights Core Curriculum initiatives that are foundational to all subjects. Using fourth-grade students as models, the authors highlight using language as a tool for constructing mathematical knowledge and understandings. Replete with student samples and illustrated examples, this resource presents clearly described strategies for communicating mathematically and making personal connections to concepts using multiple representations.
Suggested Use: Grade 3; Grade 4; Grade 5; Data Management and Analysis; Geometry; Measurement; Numbers and Operations; Problem Solving
Math, Literature and Unifix: Making the Connection (Print-Non-Fiction). Callan, Richard J. and Balka, Don S. Didax Educational Resources (SES), 2001. 96 p. ISBN 1-58324-107-8 ($13.95 pbk.).
Effective methods for integrating literature and mathematics are featured in this resource. Following a concise summary of each resource, activity-based mathematical investigations using Unifix cubes are described. Included writing activities provide a springboard for assessment purposes. Blackline masters and a classification chart of mathematical activities by topic are appended. This resource requires the teacher to extend the activities to develop mathematical understandings, but provides sound initial ideas.
Suggested Use: Grade 1; Grade 2; Grade 3; Data Management and Analysis; Geometry; Measurement; Numbers and Operations; Problem Solving
Other Use: Kindergarten
Math Mysteries: Whole Numbers (CD-ROM). Tom Snyder Productions (TSP), 2000. No order number is required. ($79.00 U.S.).
Presented in two compact discs, students solve translation problems ranging from simple single-step equations to complex solutions requiring a mix of operations and steps. One of the compact discs features the mysterious disappearance of a sailing trophy. Interacting with a host of characters, the students solve problems to receive important clues to unravel the mystery. The second compact disc has been designed for whole-class interaction. Collaboratively, students locate hidden questions, sort through provided information, and socially negotiate solutions.
An accompanying teacher’s binder provides additional support, solutions, and blackline masters.
Suggested Use: Grade 4; Grade 5; Numbers and Operations; Problem Solving
Other Use: Mathematics: Middle Level
Muffins at the Fair: A Story About Division (Print-Fiction). Irons, Calvin and Argent, Leanne, illus. McGraw-Hill Ryerson Limited (MHR), 1999. unp. ISBN 0-7327-2683-2 ($4.89 pbk.).
Three foxes purchase muffins to sell at the local fair. Throughout the day, the muffins are shared equally among varying groups of customers. As each of the rabbits, squirrels, and mice compare their differing quantities of muffins, they decide to regroup the treats to determine a method for sharing the 72 muffins equally. The delightful rhyming text and soft watercolour illustrations will stimulate mathematical discussions regarding the concept of division.
Suggested Use: Grade 2; Grade 3; Numbers and Operations; Problem Solving
Navigating Through Data Analysis and Probability in Grades 3-5 (Print-Non-Fiction). Chapin, Suzanne, et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (NCTM), 2002. 120 p. ISBN 0-87353-521-9 ($31.95 pbk.).
The activities engage students in conducting experiments, in which they predict the probability of outcomes, collect and display data, and then analyze the data in light of initial questions and problems. Emphasizing the formulation of questions based upon their data and multiple representations of results, this resource deepens students’ understanding of their findings. An appendix of blackline masters provides solutions for the activities.
The accompanying CD contains printable versions of the blackline masters, professional journal articles, and two interactive applets for students.
Suggested Use: Grade 3; Grade 4; Grade 5; Data Management and Analysis
Navigating Through Geometry in Prekindergarten-Grade 2 (Print-Non-Fiction). Findell, Carol R., et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (SES), 2001. 98 p. ISBN 0-87353-511-1 ($42.95 pbk.).
This activity-based learning resource introduces, develops, and extends students’ understandings of geometric concepts. Explorations of spatial concepts include attributes of figures and solids, location, and position using coordinate geometry, transformations, and symmetry. Designed to foster problem-solving skills, the lesson plans list open-ended questions to stimulate mathematical reasoning.
The accompanying CD-ROM contains blackline masters, interactive applets, and professional articles.
Suggested Use: Grade 1; Grade 2; Geometry
Other Use: Kindergarten
1000 Playthinks: Puzzles, Paradoxes, Illusions & Games (Print-Non-Fiction). Moscovich, Ivan and Robinson, Tim, illus. Workman Publishing, Co. (ALL), 2001. 420 p. ISBN 0-7611-1826-8 ($39.95 coil-bound).
This entertaining collection of games and puzzles combines science, mathematics, and visual art. The 1000 brainteasers feature mental games, riddles, optical illusions, and puzzles ranked in difficulty from one to ten. The colourful illustrations and spiral binding create an appealing format for the development of problem-solving skills. The solutions to the puzzles are clearly explained in the appendix. Whether the activity involves logical reasoning, geometry, patterns, or probability
, this resource will absorb readers in making mathematical discoveries.
Suggested Use: Grade 5; Geometry
Other Use: Mathematics: Middle Level; Mathematics 10, 20; Mathematics: A30, B30, C30
A Place for Zero: A Math Adventure (Print-Fiction). LoPresti, Angeline Sparagna and Hornung, Phyllis, illus. Charlesbridge Publishing (MON), 2003. 32 p. ISBN 1-57091-196-7 ($10.95 pbk.).
In the land of Digitaria, a weepy Zero laments that he has no place among the other digits. As Zero searches for his value, he learns of his additive and multiplicative properties. Humourous mathematical puns add to the colourful illustrations of legged numbers. This resource is a clever introduction to place value and multiplication concepts.
Suggested Use: Grade 1; Grade 2; Grade 3; Grade 4; Numbers and Operations
Polygon Tiles (Manipulative). Creative Publications (MHR), 1994. ISBN 1-56107-523-X ($20.95).
Containing 64 figures, this plastic set of manipulative materials is suitable for geometric and measurement investigations. The different configurations of triangles, quadrilaterals, pentagons, hexagons, heptagons, and octagons can be used to assist with the understanding of concepts including attributes, angles, congruence, symmetry, and tessellation.
Twenty-five definition cards and a teacher’s guide accompany the set.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry; Measurement
Other Use: Mathematics: Middle Level
Power Polygons (Manipulative). Learning Resources, Inc. (EEP), n.d. Order no. 6640 ($45.95).
Containing 450 translucent pieces, this set extends the function of pattern blocks. The 15 different figures (including various-sized squares, rectangles, and parallelograms; different types of triangles; hexagons, and trapezoids) are each identifiable by letter and colour. Pieces can be combined to form patterns, figures, and designs. The figures provide opportunities for conceptual explorations in geometry, algebra, ratio and proportion, measurement, and fractions. This manipulative set, accompanied by an activity guide, is packaged in a plastic container.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry; Measurement; Numbers and Operations; Problem Solving
Other Use: Mathematics: Middle Level
Quack and Count. 1st ed. (Print-Fiction). Baker, Keith. Harcourt, Inc. (RAI), 1999. unp. ISBN 0-15-292858-8 ($20.95 hdc.).
Beautiful collage illustrations depict seven exuberant ducklings enjoying a leisurely afternoon. Each two-page spread features a varying composition for the number 7. The rhyming pattern and predictable simple text introduce students to addition combinations and partitioning of numbers.
Suggested Use: Grade 1; Numbers and Operations
Other Use: Kindergarten
Queenie Farmer. 1st ed. (Print-Fiction). Campbell, Ann and Meade, Holly, illus. Harcourt, Inc. (SES), 2002. unp. ISBN 0-15-201933-2 ($26.00 hdc.).
This mathematical tale features Queenie who must single handedly raise 15 daughters after her cows and husband disappear. Outlandish episodes occur throughout the years as the mother grants her daughters’ wishes, each of which takes six days to complete. The days of the week and concepts of addition and patterning are woven throughout the rhythmic phrasing. The pen-and-wash drawings extend Queenie’s love of Holsteins as astute readers will identify that the characters’ attire mimics the hide of the beloved animals.
Suggested Use: Grade 1; Grade 2; Measurement; Numbers and Operations
Second-Grade Math: A Month-to-Month Guide (Print-Non-Fiction). Litton, Nancy. Math Solutions Publications (PRN), 2003. 230 p. ISBN 0-941355-55-1 ($34.50 pbk.).
This resource, part of a three-book series, offers a month-by-month guide for planning a year of mathematics instruction. The chapters follow the months of the school year and each feature a varying stand or subtopic. Each month’s focus contains a rich variety of clearly explained problem-solving activities supported with samples of students’ work and questions to guide classroom discourse. A foreword by Marilyn Burns, blackline masters, and a list of resources mentioned throughout the resource are appended. Although a nonintegrated strand approach to teaching mathematics is not advocated, this resource outlines teaching strategies that enhance critical thinking and concept attainment.
Suggested Use: Grade 2; Teacher Reference
The Shape of Things. 1st paperback ed. (Print-Non-Fiction). Dodds, Dayle Ann and Lacome, Julie, illus. Candlewick Press (CDS), 1996. unp. ISBN 1-56402-698-1 ($8.99 pbk.).
Bold collage illustrations of combined figures illustrate objects in the readers’ environment. Each two-page spread vividly introduces a solitary figure and, on the facing page, the figure as part of an object. Cheerful rhyming prose and accompanying colourful illustrations provide an interesting context for readers to name and identify geometric figures.
Suggested Use: Grade 1; Geometry
Other Use: English Language Arts: Elementary Level; Kindergarten
Sir Cumference and the Sword in the Cone: A Math Adventure (Print-Fiction). Neuschwander, Cindy and Geehan, Wayne, illus. Charlesbridge Publishing (MON), 2003. 32 p. ISBN 1-57091-601-2 ($10.95 pbk.).
This latest Sir Cumference adventure features a geometry puzzle. Competing to be the chosen successor to King Arthur, young knights attempt to solve the puzzle to determine the hidden location of the King’s sword, Edgecalibur. As the clues led Vertex and Radius through a series of adventures, the two men discover attributes of geometric solids including Euler’s Law. Sprinkled with mathematical puns and detailed medieval paintings, this adventure provides a delightful method for introducing spatial concepts.
Note: Imperial measurements are used, but this is not a limiting factor.
Suggested Use: Grade 4; Grade 5; Geometry
Other Use: Mathematics: Middle Level
Teaching Reading in Social Studies, Science, and Math (Print-Non-Fiction). Robb, Laura. Scholastic Inc. (SCH), 2003. 384 p. ISBN 0-439-17669-7 ($42.99 pbk.).
Scaffolding instruction within a three-part framework, Robb presents strategies that support students before, during, and after engagement with informational texts. The chapters detail methods for actively involving students in the reading process, applications of the strategies in content areas within lesson formats, and a reflection guide to deepen understanding of reading experiences. This responsive teaching resource presents a wealth of ideas for building students’ repertoire of reading strategies and bolstering their comprehension of informational material.
Suggested Use: Grade 3; Grade 4; Grade 5; Teacher Reference
Other Use: English Language Arts: Elementary Level; English Language Arts: Middle Level; Mathematics: Middle Level; Science: Elementary Level; Science: Middle Level; Social Studies: Elementary Level; Social Studies: Grade 6; Social Studies: Grades 7-9
Ten Black Dots. Rev. ed. (Print-Fiction). Crews, Donald. Scholastic Inc. (SCH), 1986. unp. ISBN 0-590-46479-5 ($4.99 pbk.).
Increasing numbers of black dots are boldly depicted on familiar objects in this revised and redesigned edition. Simple rhymes and bold illustrations provide opportunities to practise counting from one to ten.
Suggested Use: Grade 1; Numbers and Operations
Other Use: Kindergarten
Ten Friendly Frogs: A Story About Addition and Subtraction (Print-Fiction). Irons, Calvin, Owen, Claire and Sulzer, Anne, illus. Mimosa Publications (MHR), 2003. 16 p. ISBN 0-7327-3270-0 ($4.89 pbk.).
Ten frogs frolicking in a cool pond reinforce concepts in addition and subtraction. As varying combinations of the amphibians jump into the water, readers are encouraged to determine the number of frogs remaining on land. Humourous illustrations and rollicking rhymes will engage readers in the various compositions for the number 10.
Suggested Use: Grade 1; Grade 2; Numbers and Operations
Other Use: Kindergarten
Twenty Is Too Many. 1st ed. (Print-Fiction). Duke, Kate. Dutton Books (CDS), 2000. unp. ISBN 0-525-42026-6 ($23.50 hdc.).
Twenty guinea pigs set out for a pleasant sail. A sinking boat is one of many adventures that these fun-loving rodents experience. The concept of subtraction is depicted as varying numbers of guinea pigs flee from the vessel on each two-page spread. Humourous illustrations portray the furry creatures as they perform entertaining antics while draped around large numerals.
Suggested Use: Grade 1; Grade 2; Numbers and Operations
Other Use: Kindergarten
Using Assessment to Improve Middle-Grades Mathematics Teaching & Learning (Print-Non-Fiction). Parke, Carole S., et al. National Council of Teachers ofMathematics (NCTM), 2003. 153 p. ISBN 0-87353-522-7 ($37.95 U.S. pbk.).
Using 16 problem-solving tasks, this resource helps teachers gain insight into students’ mathematical understandings and methods for aligning assessment with their proficiency. Each task contains an overview of its mathematical content, an assessment technique, sample student-scored responses, and rationales for the scores assigned to each response. Emphasizing multiple strategies, representations, and solutions, this resource and its companion compact disc demonstrate the crucial interrelationship between instruction and assessment.
Suggested Use: Grade 4; Grade 5; Teacher Reference
Other Use: Mathematics: Middle Level
The Warlord's Beads (Print-Fiction). Pilegard, Virginia Walton and Debon, Nicolas, illus. Pelican Publishing Company, Inc. (FHW), 2001. unp. ISBN 1-56554-863-9 ($20.95 hdc.).
Set in the palace of a powerful Chinese warlord, Chuan’s father is entrusted with counting the powerful man’s treasures. The father becomes increasingly worried when he is unable to accurately count the valuable objects and exotic spices. As accusations of thievery arise, the father realizes the need for a different counting method. Using jade beads, Chuan devises a rudimentary abacus that provides an efficient and accurate account. A historical note that traces the invention of the abacus and instructions for creating an abacus are included.
This sequel to The Warlord’s Puzzle provides an authentic context for discussing place value and addition concepts.
Suggested Use: Grade 2; Grade 3; Grade 4; Numbers and Operations
Initiative: Multicultural Content and Perspectives
The Warlord's Puppeteers (Print-Fiction). Debon, Nicolas, illus and Pilegard, Virginia Walton. Pelican Publishing Company, Inc. (FHW), 2003. unp. ISBN 1-58980-077-X ($20.95 hdc.).
While travelling back to the Warlord's palace in ancient China, Chuan and his artist mentor journey across the desert with a troupe of puppeteers. An attack by bandits leaves the performers without their marionettes and thus their means of support. Using a melon, Chuan fashions a crude, disproportionate puppet in an attempt to help his new friends. With his mentor’s guidance, concepts of ratio and proportion are learned. Subsequent created puppets adhere to the Chinese art
proportions of a ratio of one to six for the head to the body. This fourth book in the Warlord Series presents an authentic application of ratio and proportion concepts for Middle Level students. Presenting the ratio in fractional form presents opportunities for this resource to be used at the Elementary Level.
Suggested Use: Grade 4; Grade 5; Numbers and Operations
Other Use: Mathematics: Middle Level
Initiative: Multicultural Content and Perspectives
The Warlord's Puzzle (Print-Fiction). Pilegard, Virginia Walton and Debon, Nicolas, illus. Pelican Publishing Company, Inc. (FHW), 2000. unp. ISBN 1-56554-495-1 ($20.95 hdc.).
The origin of the tangram puzzle is described through this enchanting Chinese tale. An irascible warlord breaks the artist’s gift of a blue tile into seven geometrical pieces and threatens a cruel punishment if the fragments cannot be reassembled. A contest is thus announced to determine who can reconstruct the pieces into a square. To the astonishment of the contestants, a peasant boy provides the surprising and unexpected solution. Detailed illustrations complement this geometric resource.
Suggested Use: Grade 3; Grade 4; Grade 5; Geometry
Initiative: Multicultural Content and Perspectives
Whodunit Math Puzzles (Print-Fiction). Wise, Bill. Sterling Publishing Co., Inc. (STE), 2002. 96 p. ISBN 0-8069-8073-7($10.95 U.S. pbk.).
Junior detective Cal Q. Leiter, a mathematical genius, assists the police chief in solving crimes. Solving the 22 short adventures requires attention to mathematical clues, logical reasoning, and problem-solving strategies. The ink illustrations maintain the light and innocent charm of this resource. The solutions are appended. Reminiscent of Sobol’s Encyclopedia Brown Series, this puzzle book immerses students in entertaining applications of mathematical concepts.
Suggested Use: Grade 4; Grade 5; Problem Solving
Other Use: Mathematics: Middle Level
.
About Teaching Mathematics: A K-8 Resource. 2nd ed. (Print-Non-Fiction). Burns, Marilyn. Math Solutions Publications (PRN), 2000. 348 p. ISBN 0-941355-25-X ($53.50 pbk.).
This revised edition is an indispensable resource for guiding the teaching and learning of mathematics. Supports for developing mathematical understandings are immersed in the resource’s four parts: “Raising the Issues,” “Problem-Solving Activities in the Strands,” “Teaching Arithmetic,” and “Mathematical Discussions.” A bibliography, blackline masters, numerous activity-based explorations, and assessment strategies complement this resource. This comprehensive resource presents methods for effective instruction that promotes understanding of mathematics rather than the rote memory of rules and algorithms.
Suggested Use: Grade 6; Grade 7; Grade 8; Algebra; Data Management; Geometry/Measurement; Numbers and Operations; Problem Solving; Ratio and Proportion; Teacher Reference
Other Use: Kindergarten; Mathematics: Elementary Level
Children Are Mathematical Problem Solvers (Print-Non-Fiction). Sakshaug, Lynae, Olson, Melfried and Olson, Judith. National Council of Teachers of Mathematics (NCTM), 2002. 99 p. ISBN 0-87353-529-4 ($23.95 U.S. pbk.).
Emphasizing problem solving as the foundation of mathematical understanding, the 29 activities challenge students to reason and communicate their understandings. Originating from National Council of Teachers of Mathematics journals, these activities stretch beyond translation problems to offer authentic tasks that can be solved using varying methods. The open-ended problems stem from a range of strands, and the resource guides teachers in their presentation through sample questions, examples of students’ work, and assessment techniques.
Suggested Use: Grade 6; Grade 7; Grade 8; Algebra; Data Analysis; Geometry/Measurement; Numbers and Operations; Problem Solving
Other Use: Mathematics: Elementary Level
Constructive Assessment in Mathematics: Practical Steps for Classroom Teachers (Print-Non-Fiction). Clarke, David. Key Curriculum Press (SES), 1997. 87 p. ISBN 1-55953-201-7 ($21.95 pbk.).
Reinforcing the central purpose for assessing students, the three parts of this resource expand upon how assessment can foster student learning by valuing their strengths and identifying concepts that are not yet mastered. Integrating assessment into teaching and instruction, the selection and implementation of assessment strategies, and communicating assessment information to educational partners are addressed. This practical resource exemplifies the constructive and integral approach to assessment outlined in Core Curriculum.
Suggested Use: Grade 8; Grade 9; Teacher Reference
Other Use: Mathematics 10, 20; Mathematics: A30, B30, C30
Extending the Challenge in Mathematics: Developing Mathematical Promise in K-8 Students (Print-Non-Fiction). Sheffield, Linda Jensen. Corwin Press, Inc. (LBR), 2003. 150 p. ISBN 0-7619-3851-6 ($40.95 pbk.).
Presenting engaging problems that are context and content based, the author demonstrates methods for developing mathematical understanding. Each investigation is supported with open-ended questions to guide mathematical communication and probing assessment questions that relate to the objectives. Not restricted for only the gifted, this resource explores problem-solving activities for each of the strands that are applicable for all students.
Suggested Use: Grade 6; Grade 7; Grade 8; Algebra; Data Management; Numbers and Operations; Problem Solving
Other Use: Mathematics: Elementary Level
Hands-On Math Projects With Real-Life Applications: Ready-to-Use Lessons and Materials for Grades 6-12. 1st ed. (Print-Non-Fiction). Muschla, Gary Robert and Muschla, Judith A. Jossey-Bass (WIL), 1996. 364 p. ISBN 0-13-032015-3 ($29.95 pbk.).
Using an interdisciplinary approach, the authors present projects that require the application of mathematics to solve. Students work collaboratively to investigate the relationship between mathematics and other disciplines. Blackline masters and a Skills Index that indicates the skills emphasized in each section are appended.
Note: Teachers are cautioned to select the projects based on curriculum objectives and philosophy.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Teacher Reference
Other Use: Mathematics 10, 20; Mathematics: A30, B30, C30
If the World Were a Village: A Book About the World's People. Updated ed. (Print-Non-Fiction). Smith, David J. and Armstrong, Shelagh, illus. Kids Can Press (UTP), 2003. 32 p. ISBN 1-55074-779-7 ($15.95 hdc.).
Viewing the world as a village of only 100 people leads students to understand global population growth. In this global village, 22 people would speak Chinese, 20 people would earn less than a dollar a day, and 60 people would always be hungry. Through quantitative comparison, Canadian students can gain a sense of their global identity. This is an excellent and thought-provoking resource that can be used at several grade levels.
Previously listed in the 2003 Learning Resource Materials Update, this updated edition contains more recent statistics.
Suggested Use: Grade 8; Data Management and Analysis
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
In All Probability: Investigations in Probability and Statistics: Teacher's Guide (Print-Non-Fiction). Cuomo, Celia. (Great Explorations in Math and Science Series). Lawrence Hall of Science #5200 (SES), 1993. 91 p. ISBN 0-924886-03-X ($19.95 pbk.).
Active explorations of statistics, graphing, and probability are featured in this clearly organized resource. Ample illustrations and descriptions of instructional strategies are included to support and guide instruction in generating data, communicating reasoning, predicting, and drawing conclusions. A section that provides background information for educators, assessment strategies, and blackline masters are included. Through an inquiry-based approach, this resource develops logical thinking skills and provides insight into how probability and statistics relate to students and their environment.
Suggested Use: Grade 6; Data Management
Other Use: Mathematics: Middle Level
Lessons Learned From Research (Print-Non-Fiction). Sowder, Judith and Schappelle, Bonnie, eds. National Council of Teachers of Mathematics (NCTM), 2002. 219 p. ISBN 0-87353-526-X ($33.95 U.S. pbk.).
Twenty-eight mathematics education research reports, originally published in National Council of Teachers of Mathematics Journal for Research in Education, highlight valuable findings for improving teaching. Divided into teaching, learning, curriculum, and assessment sections, each of the articles features an abstract, the research, and a footnote stating the source of the original article. Serving as an excellent resource for professional development, Lessons From Research provides insights into the motivation, concept development, and assessment of students.
Suggested Use: General; Teacher Reference
Other Use: Mathematics: Elementary Level; Mathematics 10, 20
Making Sense of Fractions, Ratios, and Proportions: 2002 Yearbook (Print-Non-Fiction). Litwiller, Bonnie and Bright, George, eds. National Council of Teachers of Mathematics (NCTM), 2002. 261 p. ISBN 0-87353-519-7 ($39.95 U.S. pbk.).
The 2002 National Council of Teachers of Mathematics yearbook contains scholarly articles that provide insights and suggestions for enhancing students’ conceptual understanding of fractions, ratios, and proportions. The contents of the yearbook span the Elementary and Middle Levels and range in depth. A section entitled “Classroom Challenges” contains open-ended problems for use in the classroom.
The companion booklet presents activities that illustrate authors’ comments in the yearbook and ones that provide alternate instructional strategies for concept attainment.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Numbers and Operations; Ratio and Proportion; Teacher Reference
Other Use: Mathematics: Elementary Level
Math Mysteries: Whole Numbers (CD-ROM). Tom Snyder Productions (TSP), 2000. unp. No order number is required. ($79.00 U.S.).
Presented in two compact discs, students solve translation problems ranging from simple single-step equations to complex solutions requiring a mix of operations and steps. One of the compact discs features the mysterious disappearance of a sailing trophy. Interacting with a host of characters, the students solve problems to receive important clues to unravel the mystery. The second compact disc has been designed for whole-class interaction. Collaboratively, students locate hidden questions, sort through provided information, and socially negotiate solutions.
An accompanying teacher’s binder provides additional support, solutions, and blackline masters.
Suggested Use: Grade 6; Grade 7; Number Operations; Problem Solving
Other Use: Mathematics: Elementary Level
Navigating Through Algebra in Grades 6-8 (Print-Non-Fiction). Friel, Susan, et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (SES), 2001. 90 p. ISBN 0-87353-501-4 ($40.95 pbk.).
This resource features problem-solving activities that promote algebraic thinking and reasoning. The chapters explore patterns, relations, and functions; change; linear relationships; and algebraic symbols. The activities highlight multiple representations: tables, graphs, verbal descriptions, concrete or pictorial representations, or algebraic symbols, to build understanding of mathematical functions.
Accompanying the interactive investigations is a CD-ROM containing blackline masters, professional readings, and applets for the students to manipulate.
Suggested Use: Grade 6; Grade 7; Grade 8; Algebra; Teacher Reference
Navigating Through Algebra in Grades 9-12 (Print-Non-Fiction). Burke, Maurice, et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (SES), 2001. 86 p. ISBN 0-87353-502-2 ($38.95 pbk.).
Designed to stimulate algebraic thinking and constructive discourse, this resource features activities that enhances students’ algebraic understandings. Methods for engaging students in reflective discussion to justify their results and to contribute alternate procedures are outlined in each activity. The activities are organized into chapters that investigate algebra as a language of process, variables, representation of functions and algebraic equivalence, and change.
The supplemental CD-ROM contains interactive applets, blackline masters for the activities, and professional development articles.
Suggested Use: Grade 9; Algebra; Teacher Reference
Other Use: Mathematics 10, 20; Mathematics: A30, B30, C30
Navigating Through Data Analysis in Grades 6-8 (Print-Non-Fiction). Bright, George W., et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (NCTM), 2003. 120 p. ISBN 0-87353-547-2 ($29.95 U.S. pbk.).
This resource presents activities that further students' understanding of data analysis. The four chapters illustrate engaging methods for interrogating and evaluating data to make inferences of the possible relationships between variables. The activities require students to utilize problem-solving skills to representing data, compare data sets with equal and unequal numbers of elements, and analyze data containing two variables. Thought-provoking discussions of increasingly complex mathematical issues are embedded within the activities.
An accompanying CD-ROM supplies blackline masters, additional activities, and professional articles related to data analysis.
Suggested Use: Grade 6; Grade 7; Grade 8; Data Management; Teacher Reference
Navigating Through Geometry in Grades 9-12 (Print-Non-Fiction). Day, Roger, et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (SES), 2001. 152 p. ISBN 0-87353-514-6 ($56.95 pbk.).
Written to develop geometric understanding in Grades 9 to 12, this resource contains background information and lesson plans that actively involve students in the engagement and exploration of geometric concepts. The study of transformations, co-ordinates and matrices, and congruence and similarity are presented in activity-based lessons. The use of technology, including a computer and a calculator is integrated into several activities.
The supplemental CD-ROM features interactive electronic activities, master copies of handouts, and additional professional readings.
Suggested Use: Grade 9; Geometry/
Measurement; Teacher Reference
Other Use: Mathematics 10, 20; Mathematics: A30, B30, C30
Navigating Through Probability in Grades 6-8 (Print-Non-Fiction). Bright, George W., et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (NCTM), 2003. 140 p. ISBN 0-87353-523-5 ($37.95 U.S. pbk.).
Through an engaging problem-solving approach, this resource develops students' probabilistic thinking. Games and activity-based lessons immerse students in constructing concepts of probability distribution, random variables, predictions, the law of large numbers, and connecting probability and statistics. Opportunities in many different settings using a variety of methods and tools, including tree diagrams and area models, to think probabilistically are presented as methods for solving problems.
An accompanying CD-ROM supplies blackline masters, additional activities and professional articles related to probability.
Suggested Use: Grade 6; Grade 7; Grade 8; Data Management; Teacher Reference
1000 Playthinks: Puzzles, Paradoxes, Illusions & Games (Print-Non-Fiction). Moscovich, Ivan and Robinson, Tim, illus. Workman Publishing, Co. (ALL), 2001. 420 p. ISBN 0-7611-1826-8 ($39.95 coil-bound).
This entertaining collection of games and puzzles combines science, mathematics, and visual art. The 1000 brainteasers feature mental games, riddles, optical illusions, and puzzles ranked in difficulty from one to ten. The colourful illustrations and spiral binding create an appealing format for the development of problem-solving skills. The solutions to the puzzles are clearly explained in the appendix. Whether the activity involves logical reasoning, geometry, patterns, or probability
, this resource will absorb readers in making mathematical discoveries.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement; Numbers and Operations; Problem Solving
Other Use: Mathematics: Elementary Level; Mathematics 10, 20; Mathematics: A30, B30, C30
The Pattern and Function Connection (Print-Non-Fiction). Fulton, Brad S. and Lombard, Bill. Key Curriculum Press (SES), 2001. 161 p. ISBN 1-55953-395-1 ($32.50 pbk.).
Through study and analysis of patterns, this resource provides support for building logical understanding of relations, linear and nonlinear functions, and function rotation. Authentic applications are posed in the suggested activities, discussions, journal topics, and homework assignments. Blackline masters, solutions, and assessment ideas are included for each progressively paced activity.
Suggested Use: Grade 8; Grade 9; Algebra
Other Use: Mathematics 10, 20
Polygon Tiles (Manipulative). Creative Publications (MHR), 1994. ISBN 1-56107-523-X ($20.95).
Containing 64 figures, this plastic set of manipulative materials is suitable for geometric and measurement investigations. The different configurations of triangles, quadrilaterals, pentagons, hexagons, heptagons, and octagons can be used to assist with the understanding of concepts including attributes, angles, congruence, symmetry, and tessellation.
Twenty-five definition cards and a teacher’s guide accompany the set.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Geometry/Measurement
Other Use: Mathematics: Elementary Level
Power Polygons (Manipulative). Learning Resources, Inc. (EEP), n.d. Order no. 6640 ($45.95).
Containing 450 translucent pieces, this set extends the function of pattern blocks. The 15 different figures (including various-sized squares, rectangles, and parallelograms; different types of triangles; hexagons, and trapezoids) are each identifiable by letter and colour. Pieces can be combined to form patterns, figures, and designs. The figures provide opportunities for conceptual explorations in geometry, algebra, ratio and proportion, measurement, and fractions. This manipulative set, accompanied by an activity guide, is packaged in a plastic container.
Suggested Use: Grade 6; Grade 7; Grade 8; Grade 9; Algebra; Geometry/Measurement; Numbers and Operations; Problem Solving; Ratio and Proportion
Other Use: Mathematics: Elementary Level
Sir Cumference and the Sword in the Cone: A Math Adventure (Print-Fiction). Neuschwander, Cindy and Geehan, Wayne, illus. Charlesbridge Publishing (MON), 2003. 32 p. ISBN 1-57091-601-2 ($10.95 pbk.).
This latest Sir Cumference adventure features a geometry puzzle. Competing to be the chosen successor to King Arthur, young knights attempt to solve the puzzle to determine the hidden location of the King’s sword, Edgecalibur. As the clues led Vertex and Radius through a series of adventures, the two men discover attributes of geometric solids including Euler’s Law. Sprinkled with mathematical puns and detailed medieval paintings, this adventure provides a delightful method for introducing spatial concepts.
Note: Imperial measurements are used, but this is not a limiting factor.
Suggested Use: Grade 6; Grade 7; Geometry/Measurement
Other Use: Mathematics: Elementary Level
Teaching Reading in Social Studies, Science, and Math (Print-Non-Fiction). Robb, Laura. Scholastic Inc. (SCH), 2003. 384 p. ISBN 0-439-17669-7 ($42.99 pbk.).
Scaffolding instruction within a three-part framework, Robb presents strategies that support students before, during, and after engagement with informational texts. The chapters detail methods for actively involving students in the reading process, applications of the strategies in content areas within lesson formats, and a reflection guide to deepen understanding of reading experiences. This responsive teaching resource presents a wealth of ideas for building students’ repertoire of reading strategies and bolstering their comprehension of informational material.
Suggested Use: Grade 6; Grade 7; Grade 8; Teacher Reference
Other Use: English Language Arts: Elementary Level; English Language Arts: Middle Level; Mathematics: Elementary Level; Science: Elementary Level; Science: Middle Level; Social Studies: Elementary Level; Social Studies: Grade 6; Social Studies: Grades 7-9
Using Assessment to Improve Middle-Grades Mathematics Teaching & Learning (Print-Non-Fiction). Parke, Carole S., et al. National Council of Teachers of Mathematics (NCTM), 2003. 153 p. ISBN 0-87353-522-7 ($37.95 U.S. pbk.).
Using 16 problem-solving tasks, this resource helps teachers gain insight into students’ mathematical understandings and methods for aligning assessment with their proficiency. Each task contains an overview of its mathematical content, an assessment technique, sample student-scored responses, and rationales for the scores assigned to each response. Emphasizing multiple strategies, representations, and solutions, this resource and its companion compact disc demonstrate the crucial interrelationship between instruction and assessment.
Other Use: Mathematics: Elementary Level
A Visual Approach to Functions (Print-Non-Fiction). Van Dyke, Frances. Key Curriculum Press (SES), 2002. 170 p. ISBN 1-55953-537-7 ($31.95 pbk.).
Consisting of individual lessons with blackline masters and teacher notes, this resource introduces linear, exponential, and quadratic functions encountered in algebra. Each chapter features a graph and a series of statements describing a function that are explored prior to the introduction of tables or algebraic notation. Subsequent chapter lessons introduce co-ordinates, quantitative graphs, and tables. To deepen conceptual understanding of a function, the activities emphasize verbal, numeric, visual, and algebraic representation. Ideas for incorporating graphing calculators are included at the end of each chapter.
Suggested Use: Grade 8; Grade 9; Algebra
Other Use: Mathematics 10, 20
The Warlord's Puppeteers (Print-Fiction). Pilegard, Virginia Walton and Debon, Nicolas, illus. Pelican Publishing Company, Inc. (FHW), 2003. unp. ISBN 1-58980-077-X ($20.95 hdc.).
While travelling back to the Warlord's palace in ancient China, Chuan and his artist mentor journey across the desert with a troupe of puppeteers. An attack by bandits leaves the performers without their marionettes and thus their means of support. Using a melon, Chuan fashions a crude, disproportionate puppet in an attempt to help his new friends. With his mentor’s guidance, concepts of ratio and proportion are learned. Subsequent created puppets adhere to the Chinese art proportions of a ratio of one to six for the head to the body. This fourth book in the Warlord Series presents an authentic application of ratio and proportion concepts for Middle Level students. Presenting the ratio in fractional form presents opportunities for this resource to be used at the Elementary Level.
Suggested Use: Grade 6; Grade 7; Ratio and Proportion
Other Use: Mathematics: Elementary Level
Whodunit Math Puzzles (Print-Fiction). Wise, Bill. Sterling Publishing Co., Inc. (STE), 2002. 96 p. ISBN 0-8069-8073-7 ($10.95 U.S. pbk.).
Junior detective Cal Q. Leiter, a mathematical genius, assists the police chief in solving crimes. Solving the 22 short adventures requires attention to mathematical clues, logical reasoning, and problem-solving strategies. The ink illustrations maintain the light and innocent charm of this resource. The solutions are appended. Reminiscent of Sobol’s Encyclopedia Brown Series, this puzzle book immerses students in entertaining applications of mathematical concepts.
Suggested Use: Grade 6; Grade 7; Grade 8; Problem Solving
Other Use: Mathematics: Elementary Level
.
Agnesi to Zeno: Over 100 Vignettes From the History of Math (Print-Non-Fiction). Smith, Sanderson M. Key Curriculum Press (SES), 1996. 266 p. ISBN 1-55953-107-X ($39.95 pbk.).
Chronologically arranged vignettes provide insight into the cultural and historical development of mathematics and how mathematics affects our daily lives. Each vignette includes a brief biography, an explanation of the mathematician’s contribution, and an insight into the historical and political perspective of the time. Activities involve research, communication, and analytical thinking as students apply mathematicians’ concepts. Vignettes include contributions from both genders and various cultures. This resource includes a table of contents, a bibliography, an index, and an answer key.
Suggested Use: General Reference
Other Use: Mathematics: A30, B30, C30
Constructive Assessment in Mathematics: Practical Steps for Classroom Teachers (Print-Non-Fiction). Clarke, David. Key Curriculum Press (SES), 1997. 87 p. ISBN 1-55953-201-7 ($21.95 pbk.).
Reinforcing the central purpose for assessing students, the three parts of this resource expand upon how assessment can foster student learning by valuing their strengths and identifying concepts that are not yet mastered. Integrating assessment into teaching and instruction, the selection and implementation of assessment strategies, and communicating assessment information to educational partners are addressed. This practical resource exemplifies the constructive and integral approach to assessment outlined in Core Curriculum.
Suggested Use: Teacher Reference
Other Use: Mathematics: Middle Level; Mathematics: A30, B30, C30
Fantasia Mathematica: Being a Set of Stories, Together With a Group of Oddments and Diversions, All Drawn From the Universe of Mathematics (Print-Non-Fiction). Fadiman, Clifton. Springer-Verlag New York, Inc. (LBR), 1997. 298 p. ISBN 0-387-94931-3 ($28.95 pbk.).
Featuring an eclectic collection of stories, poems and essays, this anthology presents an amusing approach to mathematics. Intriguing selections, from the poignant to the comical, include a horse that collapses into a four-dimensional cube and Mephisto's search for mathematical truth. Excerpts from novels, an assemblage of humourous jokes and anecdotes, and literary works of the science fiction genre combine in this playful collection of mathematically flavoured literature.
Suggested Use: Mathematics 10; Mathematics 20; Teacher Reference
Other Use: Mathematics: A30, B30, C30
Hands-On Math Projects With Real-Life Applications: Ready-to-Use Lessons and Materials for Grades 6-12. 1st ed. (Print-Non-Fiction). Muschla, Gary Robert and Muschla, Judith A. Jossey-Bass (WIL), 1996. 364 p. ISBN 0-13-032015-3 ($29.95 pbk.).
Using an interdisciplinary approach, the authors present projects that require the application of mathematics to solve. Students work collaboratively to investigate the relationship between mathematics and other disciplines. Blackline masters and a Skills Index that indicates the skills emphasized in each section are appended.
Note: Teachers are cautioned to select the projects based on curriculum objectives and philosophy.
Suggested Use: Teacher Reference
Other Use: Mathematics: Middle Level; Mathematics: A30, B30, C30
Lessons Learned From Research (Print-Non-Fiction). Sowder, Judith and Schappelle, Bonnie, eds. National Council of Teachers of Mathematics (NCTM), 2002. 219 p. ISBN 0-87353-526-X ($33.95 U.S. pbk.).
Twenty-eight mathematics education research reports, originally published in National Council of Teachers of Mathematics Journal for Research in Education, highlight valuable findings for improving teaching. Divided into teaching, learning, curriculum, and assessment sections, each of the articles features an abstract, the research, and a footnote stating the source of the original article. Serving as an excellent resource for professional development, Lessons From Research provides insights into the motivation, concept development, and assessment of students.
Suggested Use: Teacher Reference
Other Use: Mathematics: Elementary Level; Mathematics: Middle Level
The Mathematics of Oz: Mental Gymnastics From Beyond the Edge (Print-Non-Fiction). Pickover, Clifford A. Cambridge University Press (LBR), 2002. 351 p. ISBN 0-521-01678-9 ($40.95 hdc.).
Dorothy is again uprooted from her home! In Mathematics of Oz: Mental Gymnastics From Beyond the Edge, she must solve an array of brainteasers in order to escape the clutches of her abductors, a group of mathematically obsessed aliens. Each short chapter is a mathematical adventure in which Dorothy is presented with a mystery, a puzzle, or a problem to solve. The author rates the problems in terms of difficulty. One does not have to complete all the chapters or complete the chapters sequentially. Quotes from The Wizard of Oz and cartoon diagrams create a fun-filled mathematical journey through geometry, probability, and number theory.
Suggested Use: General Reference
Other Use: Mathematics: A30, B30, C30
Navigating Through Algebra in Grades 9-12 (Print-Non-Fiction). Burke, Maurice, et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (SES), 2001. 86 p. ISBN 0-87353-502-2 ($38.95 pbk.).
Designed to stimulate algebraic thinking and constructive discourse, this resource features activities that enhances students’ algebraic understandings. Methods for engaging students in reflective discussion to justify their results and to contribute alternate procedures are outlined in each activity. The activities are organized into chapters that investigate algebra as a language of process, variables, representation of functions and algebraic equivalence, and change.
The supplemental CD-ROM contains interactive applets, blackline masters for the activities, and professional development articles.
Suggested Use: Mathematics 10; Review of Algebraic Skills; Mathematics 20; Quadratic Functions; Relations, Linear Functions, and Variations
Other Use: Mathematics: Middle Level; Mathematics: A30, B30, C30
Navigating Through Geometry in Grades 9-12 (Print-Non-Fiction). Day, Roger, et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (SES), 2001. 152 p. ISBN 0-87353-514-6 ($56.95 pbk.).
Written to develop geometric understanding in Grades 9 to 12, this resource contains background information and lesson plans that actively involve students in the engagement and exploration of geometric concepts. The study of transformations, co-ordinates and matrices, and congruence and similarity are presented in activity-based lessons. The use of technology, including a computer and a calculator is integrated into several activities.
The supplemental CD-ROM features interactive electronic activities, master copies of handouts, and additional professional readings.
Suggested Use: Mathematics 20; Angles and Polygons; Teacher Reference
Other Use: Mathematics: Middle Level; Mathematics: A30, B30, C30
Nexus (Print-Non-Fiction). Bauche, Wayne, et al. Rogue Media Inc. (RMI), 2001. 280 p. ISBN 0-9688975-0-9 ($57.90 hdc.). Teacher's Resource Manual - ISBN 0-9688975-1-7 ($205.15 binder).
Developed as a revisitation to previously covered mathematics concepts, Nexus facilitates a conceptual knowledge of often misunderstood concepts through activity-based investigations. The teacher’s resource manual and student text emphasize and demonstrate the importance of building understanding with the use of manipulative material, communication, and authentic problem-solving situations. The manual contains teaching notes for each lesson, pre-tests, extra practice exercises, sample post-tests, Pythagoras diagrams, and scatterplots.
Suggested Use: Mathematics 10; Teacher Reference
1000 Playthinks: Puzzles, Paradoxes, Illusions & Games (Print-Non-Fiction). Moscovich, Ivan and Robinson, Tim, illus. Workman Publishing, Co. (ALL), 2001. 420 p. ISBN 0-7611-1826-8 ($39.95 coil-bound).
This entertaining collection of games and puzzles combines science, mathematics, and visual art. The 1000 brainteasers feature mental games, riddles, optical illusions, and puzzles ranked in difficulty from one to ten. The colourful illustrations and spiral binding create an appealing format for the development of problem-solving skills. The solutions to the puzzles are clearly explained in the appendix. Whether the activity involves logical reasoning, geometry, patterns, or probabilit, this resource will absorb readers in making mathematical discoveries.
Suggested Use: Mathematics 10; Angles and Polygons; Lines and Line Segments; Mathematics 20; Angles and Polygons; Circles; Probability
Other Use: Mathematics: Elementary Level; Mathematics: Middle Level; Mathematics: A30, B30, C30
The Pattern and Function Connection (Print-Non-Fiction). Fulton, Brad S. and Lombard, Bill. Key Curriculum Press (SES), 2001. 161 p. ISBN 1-55953-395-1 ($32.50 pbk.).
Through study and analysis of patterns, this resource provides support for building logical understanding of relations, linear and nonlinear functions, and function rotation. Authentic applications are posed in the suggested activities, discussions, journal topics, and homework assignments. Blackline masters, solutions, and assessment ideas are included for each progressively paced activity.
Suggested Use: Mathematics 10; Relations, Linear Functions, and Variation; Mathematics 20; Quadratic Functions
Other Use: Mathematics: Middle Level
Probability Simulations (Print-Non-Fiction). Winter, Mary Jean and Carlson, Ronald J. Key Curriculum Press (SES), 2000. 144 p. ISBN 1-55953-401-X ($31.95 pbk.).
Probabilistic thinking is developed through graphing calculator simulations. Each simulation begins with the entire class manipulating concrete materials and then calculators, recording of data on grids, and discussing outcomes and observed patterns. Following the whole-class activity, co-operative small groups compare results and deepen understanding through a subsequent parallel simulation.
Calculator programs for the activities can be downloaded from the accompanying CD-ROM onto graphing calculators, entered manually from the program listings.
Suggested Use: Mathematics 20; Probability
Other Use: Mathematics: A30, B30, C30
A Visual Approach to Functions (Print-Non-Fiction). Van Dyke, Frances. Key Curriculum Press (SES), 2002. 170 p. ISBN 1-55953-537-7 ($31.95 pbk.).
Consisting of individual lessons with blackline masters and teacher notes, this resource introduces linear, exponential, and quadratic functions encountered in algebra. Each chapter features a graph and a series of statements describing a function that are explored prior to the introduction of tables or algebraic notation. Subsequent chapter lessons introduce co-ordinates, quantitative graphs, and tables. To deepen conceptual understanding of a function, the activities emphasize verbal, numeric, visual, and algebraic representation. Ideas for incorporating graphing calculators are included at the end of each chapter.
Suggested Use: Mathematics 10; Review of Algebraic Skills; Mathematics 20; Quadratic Functions
Other Use: Mathematics: Middle Level
.
Agnesi to Zeno: Over 100 Vignettes From the History of Math (Print-Non-Fiction). Smith, Sanderson M. Key Curriculum Press (SES), 1996. 266 p. ISBN 1-55953-107-X ($39.95 pbk.).
Chronologically arranged vignettes provide insight into the cultural and historical development of mathematics and how mathematics affects our daily lives. Each vignette includes a brief biography, an explanation of the mathematician’s contribution, and an insight into the historical and political perspective of the time. Activities involve research, communication, and analytical thinking as students apply mathematicians’ concepts. Vignettes include contributions from both genders and various cultures. This resource includes a table of contents, a bibliography, an index, and an answer key.
Suggested Use: General Reference
Other Use: Mathematics 10, 20
Constructive Assessment in Mathematics: Practical Steps for Classroom Teachers (Print-Non-Fiction). Clarke, David. Key Curriculum Press (SES), 1997. 87 p. ISBN 1-55953-201-7 ($21.95 pbk.).
Reinforcing the central purpose for assessing students, the three parts of this resource expand upon how assessment can foster student learning by valuing their strengths and identifying concepts that are not yet mastered. Integrating assessment into teaching and instruction, the selection and implementation of assessment strategies, and communicating assessment information to educational partners are addressed. This practical resource exemplifies the constructive and integral approach to assessment outlined in Core Curriculum.
Suggested Use: Teacher Reference
Other Use: Mathematics: Middle Level; Mathematics 10, 20
Fantasia Mathematica: Being a Set of Stories, Together With a Group of Oddments and Diversions, All Drawn From the Universe of Mathematics (Print-Non-Fiction). Fadiman, Clifton. Springer-Verlag New York, Inc. (LBR), 1997. 298 p. ISBN 0-387-94931-3 ($28.95 pbk.).
Featuring an eclectic collection of stories, poems and essays, this anthology presents an amusing approach to mathematics. Intriguing selections, from the poignant to the comical, include a horse that collapses into a four-dimensional cube and Mephisto's search for mathematical truth. Excerpts from novels, an assemblage of humourous jokes and anecdotes, and literary works of the science fiction genre combine in this playful collection of mathematically flavoured literature.
Suggested Use: Mathematics A30; Mathematics B30; Mathematics C30
Other Use: Mathematics 10, 20
Hands-On Math Projects With Real-Life Applications: Ready-to-Use Lessons and Materials for Grades 6-12. 1st ed. (Print-Non-Fiction). Muschla, Gary Robert and Muschla, Judith A. Jossey-Bass (WIL), 1996. 364 p. ISBN 0-13-032015-3 ($29.95 pbk.).
Using an interdisciplinary approach, the authors present projects that require the application of mathematics to solve. Students work collaboratively to investigate the relationship between mathematics and other disciplines. Blackline masters and a Skills Index that indicates the skills emphasized in each section are appended.
Note: Teachers are cautioned to select the projects based on curriculum objectives and philosophy.
Suggested Use: Mathematics A30; Mathematics B30; Mathematics C30; Teacher Reference
The Mathematics of Oz: Mental Gymnastics From Beyond the Edge (Print-Non-Fiction). Pickover, Clifford A. Cambridge University Press (LBR), 2002. 351 p. ISBN 0-521-01678-9 ($40.95 hdc.).
Dorothy is again uprooted from her home! In Mathematics of Oz: Mental Gymnastics From Beyond the Edge, she must solve an array of brainteasers in order to escape the clutches of her abductors, a group of mathematically obsessed aliens. Each short chapter is a mathematical adventure in which Dorothy is presented with a mystery, a puzzle, or a problem to solve. The author rates the problems in terms of difficulty. One does not have to complete all the chapters or complete the chapters sequentially. Quotes from The Wizard of Oz and cartoon diagrams create a fun-filled mathematical journey through geometry, probability, and number theory.
Suggested Use: General Reference
Other Use: Mathematics 10, 20
Navigating Through Algebra in Grades 9-12 (Print-Non-Fiction). Burke, Maurice, et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (SES), 2001. 86 p. ISBN 0-87353-502-2 ($38.95 pbk.).
Designed to stimulate algebraic thinking and constructive discourse, this resource features activities that enhances students’ algebraic understandings. Methods for engaging students in reflective discussion to justify their results and to contribute alternate procedures are outlined in each activity. The activities are organized into chapters that investigate algebra as a language of process, variables, representation of functions and algebraic equivalence, and change.
The supplemental CD-ROM contains interactive applets, blackline masters for the activities, and professional development articles.
Suggested Use: Mathematics A30; Relations and Functions; Systems of Linear Equations; Teacher Reference
Other Use: Mathematics: Middle Level; Mathematics 10, 20
Navigating Through Geometry in Grades 9-12 (Print-Non-Fiction). Day, Roger, et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (SES), 2001. 152 p. ISBN 0-87353-514-6 ($56.95 pbk.).
Written to develop geometric understanding in Grades 9 to 12, this resource contains background information and lesson plans that actively involve students in the engagement and exploration of geometric concepts. The study of transformations, co-ordinates and matrices, and congruence and similarity are presented in activity-based lessons. The use of technology, including a computer and a calculator is integrated into several activities.
The supplemental CD-ROM features interactive electronic activities, master copies of handouts, and additional professional readings.
Suggested Use: Mathematics A30; Angles and Polygons; Mathematics B30; Matrices; Teacher Reference
Other Use: Mathematics: Middle Level; Mathematics 10, 20
1000 Playthinks: Puzzles, Paradoxes, Illusions & Games (Print-Non-Fiction). Moscovich, Ivan and Robinson, Tim, illus. Workman Publishing, Co. (ALL), 2001. 420 p. ISBN 0-7611-1826-8 ($39.95 coil-bound).
This entertaining collection of games and puzzles combines science, mathematics, and visual art. The 1000 brainteasers feature mental games, riddles, optical illusions, and puzzles ranked in difficulty from one to ten. The colourful illustrations and spiral binding create an appealing format for the development of problem-solving skills. The solutions to the puzzles are clearly explained in the appendix. Whether the activity involves logical reasoning, geometry, patterns, or probability
, this resource will absorb readers in making mathematical discoveries.
Suggested Use: Mathematics A30; Angles and Polygons; Mathematics B30; Probability; Mathematics C30; Conic Sections; Mathematical Proof
Other Use: Mathematics: Elementary Level; Mathematics: Middle Level; Mathematics 10, 20
Probability Simulations (Print-Non-Fiction). Winter, Mary Jean and Carlson, Ronald J. Key Curriculum Press (SES), 2000. 144 p. ISBN 1-55953-401-X ($31.95 pbk.).
Probabilistic thinking is developed through graphing calculator simulations. Each simulation begins with the entire class manipulating concrete materials and then calculators, recording of data on grids, and discussing outcomes and observed patterns. Following the whole-class activity, co-operative small groups compare results and deepen understanding through a subsequent parallel simulation.
Calculator programs for the activities can be downloaded from the accompanying CD-ROM onto graphing calculators, entered manually from the program listings.
Suggested Use: Mathematics A30; Permutations and Combinations; Mathematics B30; Probability
Other Use: Mathematics 10, 20
Who Is Fourier?: A Mathematical Adventure (Print-Non-Fiction). Transnational College of LEX. Language Research Foundation (LBR), 1995. 435 p. ISBN 0-9643504-0-8 ($34.95 pbk.).
Originally the idea for this resource was conceived as a means of relating the mathematical insights of university students to their colleagues. Students, who each explored a different aspect of Fourier, write detailed explanations of their discoveries in each chapter. Mathematical concepts in trigonometry, exponentiation, differentiation, and integration are explored through real-life examples. The authors then use these examples to illustrate a direct application of these areas of mathematics to complex Fourier analysis. Although this resource was written at a rudimentary level, it provides an engaging insight into the development of mathematical understanding through the eyes of students.
Suggested Use: General Reference
Workshop Precalculus: Discovery With Graphing Calculators. Preliminary ed. (Print-Non-Fiction). Hastings, Nancy Baxter. Key College Publishing (SES), 2002. 518 p. ISBN 1-930190-11-5 ($58.95 pbk.).
This innovative resource presents a constructive approach to teaching calculus. Students gain an understanding of the relationships between functions, data analysis, modelling, and problem solving as they engage in collaborative investigations and discussions. Rather than using lectures, the resource guides instructors through an interactive teaching format of guiding discussions, posing open-ended questions, introducing concepts, and facilitating collaborative activities. This resource presents an active inquiry approach to learning mathematical concepts.
Suggested Use: Mathematics B30; Exponential and Logarithmic Functions; Polynomial and Rational Functions; Mathematics C30; Trigonometric Equations; Trigonometric Identities