Navigating Through Measurement in Grades 9-12 (Print-Non-Fiction). Albrecht, Masha R., et al. (Principles and Standards for School Mathematics Navigations Series). National Council of Teachers of Mathematics (NCTM), 2005. 174 p. ISBN 0-87353-546-4 ($43.95 U.S. pbk.).
Part of the Navigation Series, this excellent resource contains background information and lesson plans that actively involve students in exploring measurement strategies and techniques. Students consider the logic and methods of ancient measuring techniques for tasks such as measuring the speed of ships and estimating the distance from the earth to the sun. They also explore processes that lead to the development of measurement formulas, and consider the role of technology in measurement and mathematical models. Each lesson includes discussion and assessment ideas.
The supplemental CD-ROM contains interactive applets, blackline masters for the activities, and professional development articles.
Parts of this resource may be used to support instruction around spheres, pyramids, and composite solids in Math 9.
Suggested Use: Mathematics 10; Mathematics 20; Angles and Polygons
Other Use: Mathematics: Grades 6 to 9; Mathematics: A30, B30, C30
Niktu: A Game of Algebraic Thinking Series (Game). Greenes, Carole and Findell, Carol. The Wright Group/McGraw-Hill (MHR), 2004. Order numbers follow. ($26.19).
Recommended titles in this series include the following:
Niktu: A Game of Algebraic Thinking: Level I |
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ISBN 0-4045-1361-2 |
Niktu: A Game of Algebraic Thinking: Level II |
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ISBN 0-4045-1362-0 |
Niktu: A Game of Algebraic Thinking: Level III |
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ISBN 0-4045-1363-9 |
Niktu: A Game of Algebraic Thinking: Level IV |
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ISBN 0-4045-1364-7 |
Niktu: A Game of Algebraic Thinking: Level V |
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ISBN 0-4045-1365-5 |
Niktu: A Game of Algebraic Thinking: Level VI |
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ISBN 0-4045-1366-3. |
Each level of this game offers a progressively more advanced review of algebraic concepts within a small group setting. Each playing card contains an algebraic equation with a missing numeral. Players take turns rolling a die and substituting the rolled number for the missing variable. They attempt to solve the equation before the timer runs out. Players compare answers, using their communication skills, and critical and creative thinking to justify and explain their answers. The resulting discussion also provides the teacher with a window into students’ thought processes and level of understanding. Concepts addressed include order of operations, inverse operations, fractional values, and integers. Variations for each game are included.
Suggested Use: Grade 10; Algebra; Review of Algebraic Skills
Other Use: Mathematics: Grades 6 to 9
Teaching Mathematics Through Problem Solving: Grades 6-12 (Print-Non-Fiction). Schoen, Harold L., ed. National Council of Teachers of Mathematics (NCTM), 2003. 270 p. ISBN 0-87353-541-3 ($38.95 U.S. pbk.).
This volume and its companion, published by the National Council of Teachers of Mathematics, is a professional research-based resource that promotes a problem-solving approach to mathematics instruction. This approach engages students in making sense of problematic tasks in which mathematical concepts are embedded. The writers address issues and perspectives related to this approach, provide suggestions on how to select and use appropriate tasks and learning tools, and provide examples of the use of this approach in various classroom settings.
Suggested Use: Grade 10; Grade 11; Teacher Reference
Other Use: Mathematics: Grades 6 to 9; Mathematics: A30, B30, C30
What's Your Angle, Pythagoras?: A Math Adventure (Print-Non-Fiction). Ellis, Julie and Hornung, Phyllis, illus. Charlesbridge Publishing (MON), 2004. 32 p. ISBN 1-57091-197-5 ($25.95 hdc.). ISBN 1-57091-150-9 ($9.95 pbk.).
The curious Pythagoras travels with his father to Alexandria where they meet a builder named Neferheperhersekeper. The builder shows Pythagoras how to use a knotted rope to form a right triangle, a technique he uses in measuring square corners for cutting stone. Pythagoras experiments with this technique, and observes the characteristics of right triangles, explaining his thinking as he proceeds. With time, a right triangle, and some building tiles, Pythagoras discovers the mathematical relationship among the sides of the triangle, and begins to use this knowledge to solve real-world problems. This book lends itself to a discussion of the problem-solving process, and to a deeper understanding of the Pythagorean Theorem.
Suggested Use: Grade 10; Angles and Polygons
Other Use: Mathematics: Grades 6 to 9