Teaching Student-Centered Mathematics

ISBN-10: 0205408443

ISBN-13: 9780205408443

Edition: 2006

Authors: John A. Van de Walle, Lou Ann H. Lovin

List price: $43.99
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Book details

List price: $43.99
Copyright year: 2006
Publisher: Allyn & Bacon, Incorporated
Publication date: 6/1/2005
Binding: Paperback
Pages: 416
Size: 8.25" wide x 10.50" long x 1.00" tall
Weight: 1.738
Language: English

Activities at a Glance
About the Authors
Foundations of Student-Centered Instruction
How Children Learn and Understand Mathematics
Constructing Ideas
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
Get Started
Number and Operation Sense
Developing Number Relationships
Numbers Beyond 1000
Activities for Flexible Thinking with Whole Numbers
Developing Multiplication and Division Operation Sense
Solving Contextual Problems
Expanded Lesson
Helping Children Master the Basic Facts
From Concepts and Strategies to Fact Mastery
Strategies for Additional Facts
Strategies for Subtraction Facts
Strategies for Multiplication Facts
Division Facts and "Near Facts"
Effective Drill
Fact Remediation with Upper-Grade Students
Facts: No Barrier to Good Mathematics
Expanded Lesson
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
Developing 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
Fraction Computation
Number Sense and Fraction Algorithms
Addition and Subtraction
Expanded Lesson
Decimal and Percent Concepts and Decimal Computation
Connecting Two Different Representational Systems
Developing Decimal Number Sense
Introducing Percents
Computation with Decimals
Expanded Lesson
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
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
Measuring Angles
Introducing Standard Units
Estimating Measures
Developing Formulas for Area and Volume
Expanded Lesson
Algebraic Reasoning
Repeating Patterns
Growing Patterns
Patterns with Numbers
Representing Ideas
Variables and Equations
Expanded Lesson
Exploring Data Analysis
Gathering Data to Answer Questions
Descriptive Statistics
Understanding the Mean: Two Concepts
Graphical Representations
Expanded Lesson
Exploring Concepts of Probability
Probability on a Continuum
Sample Spaces and Probability
Short-Run Versus Long-Run Results
Expanded Lesson
Principles and Standards for School Mathematics
A Guide to the Blackline Masters
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