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

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