Thinking Mathematically: Integrating Arithmetic and Algebra in Elementary SchoolIn Children's Mathematics: Cognitively Guided Instruction, Thomas Carpenter, Megan Franke, and Linda Levi helped tens of thousands of teachers understand children's intuitive problemsolving and computational processes. More important, the authors helped teachers figure out how to use that knowledge to enhance students' understanding of arithmetic. In this book the same author team takes teaching and learning mathematics to the next level, revealing how children's developing knowledge of the powerful unifying ideas of mathematics can deepen their understanding of arithmetic and provide a solid foundation for learning algebra. This book also shows how teachers can increase their own knowledge of mathematics in the process of interacting with their children and reflecting about their practice. Thinking Mathematically provides numerous examples of classroom dialogues that indicate how algebraic ideas emerge in children's thinking and what problems and questions help to elicit them. Special features of the book help teachers develop their own understanding of mathematics along with their students':

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Review: Thinking Mathematically: Integrating Arithmetic & Algebra in Elementary School
User Review  Charla  GoodreadsThis book, along with our book study, helped to change the way I think about and teach math. Read full review
Review: Thinking Mathematically: Integrating Arithmetic & Algebra in Elementary School
User Review  Courtney Lofgren  GoodreadsI do not think I would have gotten as much value from this book if I did not have a chance to apply what I learned. Thanks Maggie! Read full review
Contents
Equality  4 
Developing and Using Relational Thinking  27 
Making Conjectures About Mathematics  47 
Copyright  
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