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Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 6-8 (Volume III), 3rd edition

  • John A. Van de Walle
  • Jennifer M. Bay-Williams
  • LouAnn H. Lovin
  • Karen S. Karp

Published by Pearson (January 23rd 2017) - Copyright © 2018

3rd edition

Overview

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Helping students make connections between mathematics and their worlds—and helping them feel empowered to use math in their lives—is the focus of this widely popular guide. Designed for classroom teachers, the book focuses on specific grade bands and includes information on creating an effective classroom environment, aligning teaching to various standards and practices, such as the Common Core State Standards and NCTM’s teaching practices, and engaging families. The first portion of the book addresses how to build a student-centered environment in which children can become mathematically proficient, while the second portion focuses on practical ways to teach important concepts in a student-centered fashion. The new edition features a corresponding Enhanced Pearson eText version with links to embedded videos, blackline masters, downloadable teacher resource and activity pages, lesson plans, activities correlated to the CCSS, and tables of common errors and misconceptions.

 

Invigorate learning with the Enhanced Pearson eText
The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content with the following multimedia features:

  • NEW! Embedded videos throughout provide examples of students' misconceptions, expand on key concepts, and demonstrate how to implement strategies and techniques in real classrooms.
  • NEW! Downloadable Teacher Resource and Activity Pages that support teaching activities such as formative assessment and team-building are now available in the Enhanced Pearson eText at the point of use.
  • NEW! Downloadable Blackline Masters in Part 2 Chapters. Readers may download Blackline Masters that support the activities and Expanded Lessons by clicking on hyperlinks embedded in the Enhanced Pearson eText. Appendix C includes a list of the Blackline Masters and a thumbnail version of each.

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0134090691 / 9780134090696 Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 6-8, with Enhanced Pearson eText-- Access Card Package, 3/e

 

Package consists of: 

0134556410 / 9780134556413 Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 6-8, Enhanced Pearson eText -- Access Card

0134556399 / 9780134556390 Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 6-8, 3/e

Table of contents

Brief Table of Contents

Part 1: Establishing a Student-Centered Environment


1. Setting a Vision for Learning High-Quality Mathematics 

2. Teaching Mathematics through Problem Solving 

3. Creating Assessments for Learning 

4. Differentiating Instruction 

5. Teaching Culturally and Linguistically Diverse Children 

6. Planning, Teaching, and Assessing Children with Exceptionalities 

7. Collaborating with Families and Other Stakeholders


Part 2: Teaching Student-Centered Mathematics


8. Fraction Concepts and Computation

9.  Decimal Concepts and Computation

10. The Number System 

11. Ratios and Proportional Relationships 

12. Algebraic Thinking: Expressions, Equations, and Functions 

13. Developing Geometry Concepts 

14. Exploring Measurement Concepts 

15. Working with Data and Doing Statistics 

16. Investigating Concepts of Probability


Appendix A Common Core State Standards: Standards for Mathematical Practice

Appendix B Common Core State Standards: Grades 6—8 Critical Content Areas and Overviews 

Appendix C Mathematics Teaching Practices: NCTM Principles to Actions (2014) 

Appendix D Activities at a Glance: Volume III 

Appendix E Guide to Blackline Masters 

References 

Index 


Detailed Table of Contents


Part 1: Establishing a Student-Centered Environment

    

1. Setting a Vision for Learning High-Quality Mathematics  

            Understanding and Doing Mathematics 

            How Do Students Learn? 

            Teaching for Understanding 

            The Importance of Students’ Ideas 

            Mathematics Classrooms That Promote Understanding

 

2. Teaching Mathematics through Problem Solving 

            Teaching through Problem Solving: An Upside-Down Approach 

            Mathematics Teaching Practices for Teaching through Problem Solving 

            Using Worthwhile Tasks 

            Orchestrating Classroom Discourse 

            Representations: Tools for Problem Solving, Reasoning, and Communication 

            Lessons in the Problem-Based Classroom 

            Life-Long Learning: An Invitation to Learn and Grow 


3. Creating Assessments for Learning 

            Assessment That Informs Instruction 

            Observations 

            Questions 

            Interviews 

            Tasks 

            Students’ Self-Assessment and Reflection 

            Rubrics and Their Uses 


4. Differentiating Instruction 

            Differentiation and Teaching Mathematics through Problem Solving 

            The Nuts and Bolts of Differentiating Instruction 

            Differentiated Tasks for Whole-Class Instruction 

            Tiered Lessons 

            Flexible Grouping 


5. Teaching Culturally and Linguistically Diverse Students  

            Culturally and Linguistically Diverse Students 

            Culturally Responsive Mathematics Instruction 

            Teaching Strategies that Support Culturally and Linguistically Diverse Students 

            Assessment Considerations for ELLs 


6. Planning, Teaching, and Assessing Students with Exceptionalities

            Instructional Principles for Diverse Learners 

            Implementing Interventions 

            Teaching and Assessing Students with Learning Disabilities 

            Adapting for Students with Moderate/Severe Disabilities 

            Planning for Students Who Are Mathematically Gifted 


7. Collaborating with Families and Other Stakeholders 

            Sharing the Message with Stakeholders 

            Administrator Engagement and Support 

            Family Engagement 

            Homework Practices and Parent Coaching 


Part 2: Teaching Student-Centered Mathematics


8. Fraction Concepts and Computation 

            Meanings of Fractions 

            Partitioning and Iterating 

            Fraction Equivalencies 

            Comparing Fractions 

            Understanding Fraction Operations 

            Addition and Subtraction 

            Multiplication 

            Division 

            Teaching Fractions Effectively 

            Literature Connections 


9. Decimal Concepts and Computation 

            Extending the Place-Value System 

            Connecting Fractions and Decimals 

            Emphasizing Equivalence between Fractions and Decimals 

            Comparing and Ordering Decimal Fractions

            Addition and Subtraction 

            Multiplication 

            Division 

            Percents


10. The Number System 

            Exponents 

            Positive and Negative Numbers 

            Operations with Positive and Negative Numbers 

            Real Numbers 

            Literature Connections 


11. Ratios and Proportional Relationships 

            Ratios 

            Proportional Reasoning 

            Covariation in Algebra

            Strategies for Solving Proportional Situations 

            Teaching Proportional Reasoning 

            Literature Connections 


12. Algebraic Thinking: Expressions, Equations, and Functions 

            Structure in the Number System: Connecting Number and Algebra 

            Structure in the Number System: Properties 

            Patterns and Functions 

            Meaningful Use of Symbols 

            Mathematical Modeling 

            Algebraic Thinking across the Curriculum 

            Literature Connections 


13. Developing Geometry Concepts

            Developing Geometric Thinking 

            Shapes and Properties 

            Transformations

            Location 

            Visualization 

            Literature Connections 


14. Exploring Measurement Concepts 

            Foundations of Measuring 

            Angles 

            Area 

            Volume and Capacity 

            Literature Connections 


15. Working with Data and Doing Statistics  

            What Does It Mean to Do Statistics? 

            Formulating Questions 

            Collecting Data 

            Analyzing Data: Graphs 

            Analyzing Data: Measures of Center and Variability 

            Interpreting Results 

            Literature Connections 


16. Investigating Concepts of Probability

            Introducing Probability 

            Theoretical Probability and Experiments 

            Sample Spaces and the Probability of Compound Events 

            Simulations 

            Common Misconceptions about Probability 

            Literature Connections


Appendix A Common Core State Standards: Standards for Mathematical Practice

Appendix B Common Core State Standards: Grades 6—8 Critical Content Areas and Overviews

Appendix C Mathematics Teaching Practices: NCTM Principles to Actions (2014) 

Appendix D Activities at a Glance: Volume III 

Appendix E Guide to Blackline Masters 

References 

Index

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