How Students Learn: Mathematics in the Classroom (2005)

Chapter: 8 Teaching and Learning Functions

Previous Chapter: 7 Pipes, Tubes, and Beakers: New Approaches to Teaching the Rational-Number System
Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
Page 188
Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
Page 197
Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
Page 200
Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
Page 201
Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
Page 202
Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
Page 204
Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
Page 205
Suggested Citation: "8 Teaching and Learning Functions." National Research Council. 2005. How Students Learn: Mathematics in the Classroom. Washington, DC: The National Academies Press. doi: 10.17226/11101.
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Next Chapter: A FINAL SYNTHESIS: REVISITING THE THREE LEARNING PRINCIPLES
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