Providing a Foundation for Teaching Mathematics in the Middle Grades

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Preface
Continuing the Mathematical Preparation of Middle-Grade Teachers: An Introduction
Mathematics for the Middle Grades
Instructing for Rational Number Sense
Creating Spaces for Learning Fractions
Critical Ideas, Informal Knowledge, and Understanding Fractions
Multiplication and Division of Fractions: The Search for Meaning
Addressing the Story-Problem Problem
From Naive-Interpretist to Operation-Conserver
Ratio and Proportion: Elementary Didactical Phenomenology
Notation, Convention, and Quantity in Elementary Mathematics
The Value of Interaction in Promoting Teaching Growth
Case Studies: Catalysts for Change
Instructional Effects of Knowledge Of and About Mathematics: A Case Study
Orchestrating, Promoting, and Enhancing Mathematical Discourse in the Middle Grades: A Case Study
A Responsible Mathematics Teacher and the Choices She Makes: A Case Study
List of Contributors
Index
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