ISBN-10:
032507819X
ISBN-13:
9780325078199
Pub. Date:
01/16/2003
Publisher:
Heinemann
Thinking Mathematically: Integrating Arithmetic & Algebra in Elementary School

Thinking Mathematically: Integrating Arithmetic & Algebra in Elementary School

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Product Details

ISBN-13: 9780325078199
Publisher: Heinemann
Publication date: 01/16/2003
Edition description: New Edition
Pages: 160
Sales rank: 411,849
Product dimensions: 7.30(w) x 9.20(h) x 0.40(d)
Age Range: 5 - 11 Years

About the Author

Thomas Carpenter was Professor Emeritus of Curriculum and Instruction at the University of Wisconsin-Madison, where he taught for twenty-five years. He is the former editor of the National Council of Teachers of Mathematics (NCTM) Journal for Research in Mathematics Education, and has received the NCTM Lifetime Achievement award for Distinguished Service to Mathematics Education (2004) among other awards. Tom passed away in August 2018, leaving behind a vast legacy to mathematics education thanks to his research into Cognitively Guided Instruction (CGI). That work, created by him and his team of researchers and authors, is available to all teachers in his influential and popular books Children's Mathematics, Thinking Mathematically, and Young Children's Mathematics. In addition, members of Tom's team have already begun the process of extending out from his work in CGI with Extending Children's Mathematics. Read more about Tom and his legacy, including warm remembrances from other influential members of the field of mathematics education. Megan Loef Franke is a Professor in the Graduate Department of Education at UCLA where her research focuses on supporting teacher learning for both pre- and in-service teachers, diversity in mathematics education, and leadership in urban low performing schools. She was recently elected to the National Academy of Education. Megan is known for her work on Cognitively Guided Instruction (CGI), her leadership in UCLA's Center X, and her ongoing professional development work to support teachers, schools, and communities. Read a recent blog by Megan: What is Cognitively Guided Instruction? Follow her on Twitter @meganlfranke Linda Levi is the Director of the CGI Math Teacher Learning Center, an agency devoted to supporting teachers' understanding of children's mathematical thinking through Cognitively Guided Instruction. She works directly with schools, districts, education cooperatives, and State Departments of Education to provide CGI professional development. Linda is coauthor of three influential CGI books, all published by Heinemann: Children's Mathematics, second edition (2014), Extending Children's Mathematics (2011), and Thinking Mathematically (2003). These books have helped hundreds of thousands of teachers understand children's intuitive problem-solving strategies and computational skills. Learn more about Cognitively Guided Instruction here: Heinemann.com/CGImath Click here for updates about the CGI Math Teacher Learning Center. Follow Linda on Twitter: @LLeviCGIMath

Table of Contents

Developing Mathematical Thinking

Equality

Developing and Using Relational Thinking

Making Conjectures About Mathematics

Equations with Multiple Variables and Repeated Variables

Representing Conjectures Symbolically

Justification and Proof

Ordering Multiple Operations

"If... Then..." Statements: Relations Involving Addition, Subtraction, Multiplication, Division, and Equality Answers for Selected Challenges

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