Teaching Student-centered Mathematics: Developmentally Appropriate Instruction For Grades Pre-k-2 (volume I), With Enhanced Pearson Etext by John A. Van De Walle

Teaching Student-centered Mathematics: Developmentally Appropriate Instruction For Grades Pre-k-2…

byJohn A. Van De Walle, Louann H. Lovin, Karen S. Karp

Book & Toy | January 20, 2017

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For courses in Elementary Mathematics Methods and for classroom teachers.

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A practical, comprehensive, student-centered approach to effective mathematical instruction for grades Pre-K-2.


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.

 

This book is part of the Student-Centered Mathematics Series, which is designed with three objectives: to illustrate what it means to teach student-centered, problem-based mathematics, to serve as a reference for the mathematics content and research-based instructional strategies suggested for the specific grade levels, and to present a large collection of high quality tasks and activities that can engage students in the mathematics that is important for them to learn.

 

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0134090683 / 9780134090689 Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades Pre-K-2 (Volume I), with Enhanced Pearson eText

Package consists of:  

  • 0134556437 / 9780134556437 Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades Pre-K-2 (Volume I)    

  • 0134556453 / 9780134556451 Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades Pre-K-2 (Volume I), Enhanced Pearson eText -- Access Card

About The Author

The late John A. Van de Walle was a professor emeritus at Virginia Commonwealth University. He was a mathematics education consultant who regularly gave professional development workshops for K—8 teachers in the United States and Canada. He visited and taught in elementary school classrooms and worked with teachers to implement studen...

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Title:Teaching Student-centered Mathematics: Developmentally Appropriate Instruction For Grades Pre-k-2…Format:Book & ToyDimensions:421 pages, 10.7 × 8.4 × 0.7 inPublished:January 20, 2017Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0134090683

ISBN - 13:9780134090689

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Extra Content

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. Developing Early Number Concepts and Number Sense

9. Developing Meanings for the Operations

10. Helping Children Develop Fluency with Basic Facts

11. Developing Whole-Number Place-Value Concepts

12. Building Strategies for Whole-Number Computation

13. Promoting Algebraic Reasoning

14. Exploring Early Fraction Concepts

15. Building Measurement Concepts

16. Developing Geometric Reasoning and Concepts

17. Helping Children Use Data


Appendix A Common Core State Standards: Standards for Mathematical Practice 

Appendix B Common Core State Standards: Grades K-2 Critical Content Areas and Overviews 

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

Appendix D Activities at a Glance: Volume I 

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 Children Learn?

              Teaching for Understanding

              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

              Children's 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 Children

              Culturally and Linguistically Diverse Children

              Culturally Responsive Mathematics Instruction

              Teaching Strategies That Support Culturally and Linguistically Diverse Children

              Assessment Considerations for ELLs


6. Planning, Teaching, and Assessing Children with Exceptionalities

              Instructional Principles for Diverse Learners

              Implementing Interventions

              Teaching and Assessing Children with Learning Disabilities 

              Adapting for Children with Moderate/Severe Disabilities 

              Planning for Children 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. Developing Early Number Concepts and Number Sense

              The Number Core: Early Counting and Number Concepts

              The Relations Core: More Than, Less Than, and Equal To

              Developing Number Sense by Building Number Relationships

              Number Sense and the Real World

              Revisiting the Big Ideas for Number Concepts


9. Developing Meanings for the Operations

              Teaching Operations through Contextual Problems 

              Children’s Conceptions of Addition and Subtraction 

              Addition and Subtraction Problem Structures

              Teaching Addition and Subtraction

              Laying the Foundation for Multiplication and Division

              Teaching Multiplication and Division

              Supporting Children in Solving Contextual Problems

              Final Thoughts: Outcomes Related to Teaching and Learning Operations


10. Helping Children Develop Fluency with Basic Facts

              The Developmental Nature of Learning Basic Facts 

              Different Approaches to Teaching Basic Facts

              Teaching Basic Facts Effectively

              Assessing Basic Facts Effectively

              Reasoning Strategies for Addition Facts

              Reasoning Strategies for Subtraction Facts

              Reinforcing Reasoning Strategies

              Building a Foundation for Multiplication Facts

              Reinforcing Basic Fact Mastery

              Do’s and Don’ts for Teaching Basic Facts


11. Developing Whole-Number Place-Value Concepts

              Pre—Place-Value Understandings

              Developing Foundational Ideas in Whole-Number Place Value
              Base-Ten Models for Place Value

              Developing Base-Ten Concepts

              Oral and Written Names for Numbers

              Patterns and Relationships with Multidigit Numbers

              Connecting Place Value to Addition and Subtraction 

              Connections to Real-World Ideas


12. Building Strategies for Whole-Number Computation

              A Move to Computational Fluency 

              Connecting Addition and Subtraction to Place Value 

              Three Types of Computational Strategies

              Development of Invented Strategies

              Development of Invented Strategies for Addition and Subtraction

              Standard Algorithms for Addition and Subtraction

              Introducing Computational Estimation

              Computational Estimation Strategies

              Common Misconceptions with Whole-Number Computation


13. Promoting Algebraic Reasoning

              Strands of Algebraic Reasoning 

              Structure in the Number System: Connecting Number and Algebra

              Meaningful Use of Symbols

              Structure in the Number System: Properties

              Patterns and Functions

              Common Misconceptions with Algebraic Reasoning


14. Exploring Early Fraction Concepts

              Meanings of Fractions for PreK—2 Children

              Introducing Fraction Language 

              Models for Fractions

              Building Fractional Parts through Partitioning and Iterating

              Fraction Equivalence and Comparison 

              From Fraction Words to Symbols 

              Teaching Considerations for Fraction Concepts


15. Building Measurement Concepts

              The Meaning and Process of Measuring

              Length

              Time

              Money

              Other Measurable Attributes

              Common Misconceptions with Measurement


16. Developing Geometric Reasoning and Concepts

              Geometry Goals for Young Children 

              Developing Geometric Reasoning

              Shapes and Properties

              Transformations

              Location 

              Visualization


17. Helping Children Use Data

              What Does It Mean to Do Statistics?

              Formulating Questions

              Data Collection

              Data Analysis: Classification

              Data Analysis: Graphical Representations

              Interpreting Results


Appendix A Common Core State Standards: Standards for Mathematical Practice 

Appendix B Common Core State Standards: Grades K-2 Critical Content Areas and Overviews 

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

Appendix D Activities at a Glance: Volume I 

Appendix E Guide to Blackline Masters 

References 

Index