Problem with Math Is English A Language-Focused Approach to Helping All Students Develop a Deeper Understanding of Mathematics

ISBN-10: 1118095707

ISBN-13: 9781118095706

Edition: 2012

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Description: This book, published in partnership with SEDL, illustrates how fundamental mathematical concepts are often understood only at a superficial level. Written to inspire those “aha” moments, The Problem with Math Is English enables teachers to help students identify and understand the nuances and true meaning of mathematical language, symbolism, and representation, delving into such key topics as multiplication, division, fractions, place value, and the distributive property through the lenses of language and symbolism.·        Offers a new way to approach math instruction for 3-8 teachers that will improve how all students, and especially English language learners, understand math·        Explains commonly misunderstood concepts such as proportional reasoning, graphical representation, and the order of operations using a language and symbolism perspective·        Emphasizes the connections and dependent relationships of critical mathematics topicsThis important book fills a gap in math education by illustrating how a deeper understanding of math concepts can be developed in all students.

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Book details

List price: $35.95
Copyright year: 2012
Publisher: John Wiley & Sons, Incorporated
Publication date: 9/4/2012
Binding: Paperback
Pages: 304
Size: 7.50" wide x 9.50" long x 0.75" tall
Weight: 1.298
Language: English

The Author
About SEDL
About This Book
Introduction
Julian's Story
Rationale and Purpose
Who Benefits from This Book? xxii
The Problem with Math Is English (and a Few Other Things)
Why Language and Symbolism?
What We Are Teaching
Turning the tide: A Sampling of Approaches
Mathematics Is About Relationships
Connecting the Pieces and Looking Ahead
Why a Language Focus in Mathematics?
The Convergence of Mathematics and English: More Than Just Vocabulary
Problems Based on the English Language
A Number of Problems with Number
Language and Symbolism in Traditional Instruction
Shortcomings of Traditional Instruction
More Language and Symbolism Issues: Adding Fuel to the Fire
Tell Me Again Why the Language Focus in Math?
So What Does Conceptual Understanding Look Like?
It Starts with Definitions
Making Connections in Math: Beyond Connecting Dots
The Interpretation and Translation Of Math
Conclusion
The Order of Operations: A Convention or a Symptom of What
Ails Us?
The Roots of the Rules
The Natural Order: A Mathematical Perspective
Conclusion: A Conceptual Understanding of the Order of Operations
Using Multiplication as a Critical Knowledge Base
Understanding Key Definitions and Connections
Interpreting Multiplication
Using The Power of the Distributive Property
Feeling Neglected: The Units in Multiplication
Conclusion: Small Details, Huge Impact
Fractions: The ''F Word'' in Mathematics
Defining Fractions: Like Herding Cats
The Fraction Kingdom
Interpreting Fractions
Conclusion
Operations with Fractions
Adding and Subtracting Fractions
Multiplying Fractions
Dividing Fractions
Conclusion
Unlocking the Power of Symbolism and Visual Representation
Symbolism
Visual Representation
The Power of Interpretation: Three Perspectives of Trapezoids
Conclusion
Language-Focused Conceptual Instruction
Language Focus: Beyond the Definitions
The Secrets to Solving Word Problems
Suggested Instructional Strategies
Conclusion
Mathematics: It's All About Relationships!
Language and Symbolism: Vehicles for Relationship Recognition
Relationships and Fractions
Proportional Reasoning
Relationships: Important Considerations
Relationships: Making Powerful Connections
Conclusion
The Perfect Non-Storm: Understanding the Problem and Changing the System
A Systemic Issue
Math Makeover
Conclusion
Bibliography
Index
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