Visible Thinking in the K-8 Mathematics Classroom
  • Alternative view 1 of Visible Thinking in the K-8 Mathematics Classroom
  • Alternative view 2 of Visible Thinking in the K-8 Mathematics Classroom

Visible Thinking in the K-8 Mathematics Classroom

by Ted H. Hull, Don S. Balka, Ruth E. Harbin Miles
     
 

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ISBN-10: 1412992052

ISBN-13: 9781412992053

Pub. Date: 02/08/2011

Publisher: SAGE Publications

Seeing is believing with this interactive approach to math instruction

Do you ever wish your students could read each other’s thoughts? Now they can—and so can you! This newest book by veteran mathematics educators provides instructional strategies for maximizing students’ mathematics comprehension by integrating visual thinking into the

Overview

Seeing is believing with this interactive approach to math instruction

Do you ever wish your students could read each other’s thoughts? Now they can—and so can you! This newest book by veteran mathematics educators provides instructional strategies for maximizing students’ mathematics comprehension by integrating visual thinking into the classroom. Included are numerous grade-specific sample problems for teaching essential concepts such as number sense, fractions, and estimation. Among the many benefits of visible thinking are:

  • Interactive student-to-student learning
  • Increased class participation
  • Development of metacognitive thinking and problem-solving skills

Product Details

ISBN-13:
9781412992053
Publisher:
SAGE Publications
Publication date:
02/08/2011
Pages:
164
Sales rank:
1,117,304
Product dimensions:
6.90(w) x 9.90(h) x 0.50(d)

Table of Contents

Preface
Acknowledgments
About the Authors
Part I. Preparing the Foundation
1. What Is Visible Thinking?
Understanding Mathematical Concepts
Thinking as a Mathematical Premise
Visible Thinking in Classrooms
Visible Thinking Scenario 1: Area and Perimeter
Summary
2. How Do Students Learn Mathematics?
What Is Thinking?
What Does Brain Research Indicate About Thinking and Learning?
What Is Mathematical Learning?
What Are Thinking and Learning Themes From Research?
Example Problems Revisited
Visible Thinking Scenario 2: Addition of Fractions
Summary
3. What Is Happening to Thinking in Mathematics Classrooms?
Improvement Initiatives and Visible Thinking
Visible Thinking Scenario 3: Subtraction With Regrouping
Summary
Part II. Promoting Visible Thinking With an Alternative Instructional Model
4. How Do Effective Classrooms Depend on Visible Thinking?
What Are Strategies, Conditions, and Actions?
Practice Into Action
Technology as Visible Thinking
Visible Thinking Scenario 4: Division
Summary
5. How Are Long-Term Changes Made?
Enhancing Student Learning
Teaching Approaches
Visible Thinking Scenario 5: Mixed Numerals
Visible Thinking Scenario 6: Place Value
Summary
6. How Are Short-Term Changes Made?
Pitfalls and Traps
Strategy Sequence
The Relationships Among the Strategy Sequence, Conditions, and Goals
Visible Thinking Scenario 7: Basic Addition and Subtraction Facts
Visible Thinking Scenario 8: Exponents
Summary
7. How Are Lessons Designed to Achieve Short-Term and Long-Term Changes?
The Current Approach to Teaching Mathematics
Elements of an Alternative Instructional Model
Types of Problems
Summary
Part III. Implementing the Alternative Model at Different Grade Levels
8. How Is Thinking Made Visible in Grades K–2 Mathematics?
Brainteaser Problem Example
Group-Worthy Problem Example
Transforming Problem Example
Summary
9. How Is Thinking Made Visible in Grades 3–5 Mathematics?
Brainteaser Problem Example
Group-Worthy Problem Example
Transforming Problem Example
Summary
10. How Is Thinking Made Visible in Grades 6–8 Mathematics?
Brainteaser Problem Example
Group-Worthy Problem Example
Transforming Problem Example
Summary
Part IV. Continuing the Work
11. How Do Teachers, Leaders, and Administrators Coordinate Their Efforts to Improve Mathematics Teaching and Learning?
Working With Administrators
Embedding Lessons Into the Curriculum
Providing Professional Development
Co-planning and Co-teaching
Summary
Appendix A: Research Support for Visible Thinking Strategies, Conditions, and Actions
Appendix B: Lessons Using Technology: Additional Materials
References
Index

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