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Reconceptualizing Mathematics

by Judith Sowder; Larry Sowder; Susan Nickerson

New to this Edition

New
Reconceptualizing Mathematics

Second Edition ©2013

ISBN-10: 1-4641-0335-6
ISBN-13: 978-1-4641-0335-3
Paper Text

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Closer Alignment to Common Core State Standards
Throughout, the new edition has been refined to more closely align with the Common Core State Standards being implemented by most states across the country.  For example,
• Several Issues for Learning specifically address the CCSS’s influence on curriculum
• Additional physical and mathematical models for mathematical operations are incorporated with a particular focus on the number line, area model, and base-ten blocks
• Revised language for terms that is more in line with the CCSS
• Dozens of mathematical definitions introduced earlier in text exposition, supporting the expectation that students can effectively use mathematical definitions
 
New Content
Chapter 1, Reasoning About Quantities
begins with motivation for making sense and quantitative reasoning.
Chapter 6, Meanings for Fractions and Chapter 7, Computing with Fractions include richer development of fractions and more support for operations with fractions.
Chapter 10, Integers and Other Number Systems reflects new research on children’s thinking with respect to signed numbers.
Chapter 12, What is Algebra? now reflects the increased emphasis on operational properties in elementary grades, tying mental math and children’s thinking to the properties.
Chapter 16, Polygons now comes before Chapter 17, Polyhedra  matching the more common order of teaching these topics
Chapter 27, Quantifying Uncertainty now is less focused on probabilistic situations.
 
Hallmark In-Chapter Pedagogy in a Fresh New Design, including:
• Activities for small groups
• Discussions for whole-class participation
 Think About inviting students to reflect on what they have just read
• Information Boxes with definitions and important ideas
• Examples providing needed clarification
• Take-away Messages summarizing each section
• Learning Exercises for homework or classroom discussions
• Enhanced! Issues for Learning focus on research into children’s learning of specific mathematical content
• Elementary Textbook Samples connecting the text to students’ classroom experiences with the same content
 
Enhanced Online Homework at MathPortal
MathPortal for this text now features expanded eManipulatives, links to new videos developed by co-author Susan Nickerson, and W.H. Freeman’s acclaimed new formative learning tool, LearningCurve

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