Teaching Student-Centered Mathematics : Grades K-3,9780205408436

Teaching Student-Centered Mathematics : Grades K-3

by ;
Edition: 1st
ISBN13: 9780205408436
ISBN10: 0205408435
Format: Paperback
Pub. Date: 2005-05-27
Publisher(s): Pearson
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List Price: $47.07

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Summary

The resource math teachers have been waiting for is finally here! #xA0; Volume One of the Van de Walle Professional Mathematics Series provides practical guidance along with proven strategies for practicing teachers of kindergarten through grade 3.In addition to many of the popular topics and features from John Van de Walle#x19;s market-leading textbook, Elementary and Middle School Mathematics, this volume offers brand-new material specifically written for the early grades. The expanded grade-specific coverage and unique page design allow readers to quickly and easily locate information to implement in the classroom. Nearly 200 grade-appropriate activities are included. The student-centered, problem-based approach will help students develop real understanding and confidence in mathematics, making this series indispensable for teachers! Big Ideasprovide clear and succinct explanations of the most critical concepts in K-3 mathematics. Problem-based activitiesin every chapter provide numerous engaging tasks to help students develop understanding. Assessment Notesillustrate how assessment can be an integral part of instruction and suggest practical assessment strategies. Expanded Lessonselaborate on one activity from each chapter, providing examples for creating step-by-step lesson plans for classroom implementation. A Companion Website(http://www.ablongman.com/vandewalleseries/) provides access to more than 50 reproducible blackline mastersto utilize in the classroom. The NCTM Content Standardsare provided for teachers#x19; reference in the appendix. Collect all three volumes in the Van de Walle Professional Mathematics Series! Each volume provides in-depth coverage at specific grade levels. Teaching Student-Centered Mathematics: Volume One, Grades K-3,#xA0;ISBN: 0-205-40843-5 Teaching Student-Centered Mathematics: Volume Two, Grades 3-5,#xA0;ISBN: 0-205-40844-3 Teaching Student-Centered Mathematics: Volume Three, Grades 5-8, ISBN: 0-205-41797-3

Author Biography

John Van de Walle is Professor Emeritus at Virginia Commonwealth University.

Table of Contents

Preface ix
Activities at a Glance xiv
About the Authors xxii
Foundations of Student-Centered Instruction
1(36)
How Children Learn and Understand Mathematics
1(9)
Constructing Ideas
2(1)
Understanding
2(2)
Classroom Influences on Learning
4(4)
Using Models in the Classroom
8(2)
Teaching with Problems
10(12)
Problem-Based Tasks
11(3)
The Value of Teaching with Problems
14(1)
A Three-Part Format for Problem-Based Lessons
15(4)
Teachers' Questions about Problem-Based Teaching
19(3)
Planning in a Problem-Based Classroom
22(6)
Planning Problem-Based Lessons
22(3)
Variations of the Three-Part Lesson
25(1)
Diversity in the Classroom
26(2)
Assessment in a Problem-Based Classroom
28(8)
Appropriate Assessment
29(1)
Rubrics and Their Uses
30(3)
Diagnostic Interviews
33(1)
Grading
34(2)
Get Started
36(1)
Developing Early Number Concepts and Number Sense
37(28)
Early Counting and Number
37(5)
Early Number Sense
42(1)
Relationships Among Numbers 1 Through 10
42(12)
Relationships for Numbers 10 to 20
54(2)
Numbers to 100: Early Introductions
56(2)
Number Sense and the Real World
58(5)
Expanded Lesson
63(2)
Developing Meaning for the Operations and Solving Story Problems
65(29)
Addition and Subtraction
65(5)
Teaching Addition and Subtraction
70(7)
Problem Structures for Multiplication and Division
77(3)
Teaching Multiplication and Division
80(6)
More Thoughts About Children Solving Story Problems
86(6)
Expanded Lesson
92(2)
Helping Children Master the Basic Facts
94(26)
From Concepts and Strategies to Fact Mastery
94(5)
Strategies for Addition Facts
99(7)
Strategies for Subtraction Facts
106(5)
Strategies for Multiplication Facts
111(5)
Division Facts and ``Near Facts''
116(1)
Effective Drill
117(3)
Expanded Lesson
120(37)
Base-Ten Concepts and Place Value
122(1)
Children's Pre-Base-Ten Concepts
123(1)
Goals of Place Value Development
124(3)
Models for Place Value
127(2)
Developing Place-Value Concepts and Procedures
129(13)
Number Sense Development
142(3)
Activities for Flexible Thinking
145(5)
Helping Children Work with Money
150(5)
Expanded Lesson
155(2)
Strategies for Whole-Number Computation
157(29)
Toward Computational Fluency
157(6)
Development of Invented Strategies: A General Approach
163(2)
Invented Strategies for Addition and Subtraction
165(4)
Traditional Algorithms for Addition and Subtraction
169(4)
Invented Strategies for Multiplication
173(2)
The Traditional Algorithm for Multiplication
175(3)
Invented Strategies for Division
178(2)
The Traditional Algorithm for Division
180(4)
Expanded Lesson
184(2)
Geometric Thinking and Geometric Concepts
186(37)
Geometry Goals for Your Students
186(2)
Geometric Thought: Reasoning about Shapes and Relationships
188(5)
Shapes and Properties Activities
193(16)
Transformation Activities
209(4)
Location Activities
213(3)
Visualization Activities
216(5)
Expanded Lesson
221(2)
Developing Measurement Concepts
223(28)
The Meaning and Process of Measuring
223(2)
Developing Measurement Concepts and Skills
225(3)
Measuring Length
228(6)
Measuring Area
234(4)
Measuring Volume and Capacity
238(3)
Measuring Weight and Mass
241(1)
Measuring Time
242(3)
Introducing Standard Units
245(4)
Expanded Lesson
249(2)
Early Fraction Concepts
251(24)
Sharing and the Concept of Fractional Parts
252(2)
Models for Fractions
254(2)
From Fractional Parts to Fraction Symbols
256(6)
Fraction Number Sense
262(6)
Equivalent-Fraction Concepts
268(5)
Expanded Lesson
273(2)
Algebraic Reasoning
275(35)
Repeating Patterns
276(5)
Growing Patterns
281(3)
Patterns with Numbers
284(9)
Representing Ideas
293(4)
Variables and Equations
297(5)
Relations and Functions
302(6)
Expanded Lesson
308(2)
Helping Children Use Data
310(21)
Gathering Data to Answer Questions
310(3)
Classification and Data Analysis
313(4)
Graphical Representations
317(7)
Describing a Set of Data
324(5)
Expanded Lesson
329(2)
Early Experiences with Probability Concepts
331(19)
Probability on a Continuum
332(5)
Sample Spaces and Probability
337(6)
Short-Run versus Long-Run Results
343(5)
Expanded Lesson
348(2)
Appendix A. Principles and Standards for School Mathematics 350(11)
Appendix B. A Guide to the Blackline Masters 361(7)
References 368(3)
Index 371

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