Rational Numbers: Toward A Semantic Analysis -- Emphasis On The Operator Construct
p. 13
References
p. 46
Rational and Fractional Numbers: From Quotient Fields To Recursive Understanding
p. 49
References
p. 81
Learning Rational Numbers With Understanding: The Case of Informal Knowledge
p. 85
Acknowledgments
p. 102
Protoquantitative Origins of Ratio Reasoning
p. 107
Ratio and Proportion: Children's Cognitive and Metacognitive Processes
p. 131
Halves, Pieces, and Twoths: Constructing and Using Representational Contexts In Teaching Fractions
p. 157
References
p. 192
Acknowledgments
p. 192
A Critical Analysis Of Teaching Rational Number
p. 197
Benefits and Costs Of Research That LInks Teaching and Learning Mathematics
p. 219
References
p. 238
Using Principles From Cognitive Psychology To Guide Rational Number Instruction For Prospective Teachers
p. 239
Assessment of Rational Number Understanding: A Schema-Based Approach
p. 261
References
p. 287
Vi Curriculum and Instruction
p. 288a
Fractions: A Realistic Approach
p. 289
References
p. 323
Curriculum Implications Of Research on The Learning, Teaching and Assessing of Rational Number Concepts
p. 327
Partial Scope and Sequence For Fraction Concepts
p. 358
Partial Scope and Sequence For Fraction Concepts
p. 360
Index
p. 363
Subject Index
p. 369
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