Teaching student-centered mathematics. Grades K-3 /
Saved in:
| Author / Creator: | Van de Walle, John A. |
|---|---|
| Imprint: | Boston : Pearson/Allyn and Bacon, c2006. |
| Description: | xxii, 378 p. : ill. ; 28 cm. |
| Language: | English |
| Series: | The Van de Walle professional mathematics series ; v. 1 Van de Walle, John A. Van de Walle professional mathematics series ; v. 1. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5677242 |
Table of Contents:
- Preface
- Activities at a Glance
- About the Authors
- 1. Foundations of Student-Centered Instruction
- How Children Learn and Understand Mathematics
- Constructing Ideas
- Understanding
- Classroom Influences on Learning
- Using Models in the Classroom
- Teaching with Problems
- Problem-Based Tasks
- The Value of Teaching with Problems
- A Three-Part Format for Problem-Based Lessons
- Teachers' Questions about Problem-Based Teaching
- Planning in a Problem-Based Classroom
- Planning Problem-Based Lessons
- Variations of the Three-Part Lesson
- Diversity in the Classroom
- Assessment in a Problem-Based Classroom
- Appropriate Assessment
- Rubrics and Their Uses
- Diagnostic Interviews
- Grading
- Get Started
- 2. Developing Early Number Concepts and Number Sense
- Early Counting and Number
- Early Number Sense
- Relationships Among Numbers 1 Through 10
- Relationships for Numbers 10 to 20
- Numbers to 100: Early Introductions
- Number Sense and the Real World
- Expanded Lesson
- 3. Developing Meaning for the Operations and Solving Story Problems
- Addition and Subtraction
- Teaching Addition and Subtraction
- Problem Structures for Multiplication and Division
- Teaching Multiplication and Division
- More Thoughts About Children Solving Story Problems
- Expanded Lesson
- 4. Helping Children Master the Basic Facts
- From Concepts and Strategies to Fact Mastery
- Strategies for Addition Facts
- Strategies for Subtraction Facts
- Strategies for Multiplication Facts
- Division Facts and "Near Facts"
- Effective Drill
- Expanded Lesson
- 5. Base-Ten Concepts and Place Value
- Children's Pre-Base-Ten Concepts
- Goals of Place Value Development
- Models for Place Value
- Developing Place-Value Concepts and Procedures
- Number Sense Development
- Activities for Flexible Thinking
- Helping Children Work with Money
- Expanded Lesson
- 6. Strategies for Whole-Number Computation
- Toward Computational Fluency
- Development of Invented Strategies: A General Approach
- Invented Strategies for Addition and Subtraction
- Traditional Algorithms for Addition and Subtraction
- Invented Strategies for Multiplication
- The Traditional Algorithm for Multiplication
- Invented Strategies for Division
- The Traditional Algorithm for Division
- Expanded Lesson
- 7. Geometric Thinking and Geometric Concepts
- Geometry Goals for Your Students
- Geometric Thought: Reasoning about Shapes and Relationships
- Shapes and Properties Activities
- Transformation Activities
- Location Activities
- Visualization Activities
- Expanded Lesson
- 8. Developing Measurement Concepts
- The Meaning and Process of Measuring
- Developing Measurement Concepts and Skills
- Measuring Length
- Measuring Area
- Measuring Volume and Capacity
- Measuring Weight and Mass
- Measuring Time
- Introducing Standard Units
- Expanded Lesson
- 9. Early Fraction Concepts
- Sharing and the Concept of Fractional Parts
- Models for Fractions
- From Fractional Parts to Fraction Symbols
- Fraction Number Sense
- Equivalent-Fraction Concepts
- Expanded Lesson
- 10. Algebraic Reasoning
- Repeating Patterns
- Growing Patterns
- Patterns with Numbers
- Representing Ideas
- Variables and Equations
- Relations and Functions
- Expanded Lesson
- 11. Helping Children Use Data
- Gathering Data to Answer Questions
- Classification and Data Analysis
- Graphical Representations
- Describing a Set of Data
- Expanded Lesson
- 12. Early Experiences with Probability Concepts
- Probability on a Continuum
- Sample Spaces and Probability
- Short-Run versus Long-Run Results
- Expanded Lesson
- Appendix A. Principles and Standards for School Mathematics
- Appendix B. A Guide to the Blackline Masters
- References
- Index