Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 3-5 (Volume 2)

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If purchasing or renting from companies other than Pearson, the access codes for the Enhanced Pearson eText may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase.
 

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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.
 
Improve mastery and retention with the Enhanced Pearson eText
The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content. The Enhanced Pearson eText is:

• Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience.
• Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad® and Android® tablet.*
• Affordable. Experience the advantages of the Enhanced Pearson eText along with all the benefits of print for 40% to 50% less than a print bound book.

*The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads.

*The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7” or 10” tablet, or iPad iOS 5.0 or later.

Sommario

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 Students 
6. Teaching and Assessing Students with Exceptionalities 
7. Collaborating with Families and Other Stakeholders 


Part 2: Teaching Student-Centered Mathematics

8. Exploring Number and Operation Sense 
9. Developing Basic Fact Fluency 
10. Developing Whole-Number Place-Value Concepts 
11. Building Strategies for Whole-Number Computation 
12. Exploring Fraction Concepts 
13. Building Strategies for Fraction Computation 
14. Developing Decimal and Percent Concepts and Decimal Computation 
15. Promoting Algebraic Thinking 
16. Building Measurement Concepts 
17. Developing Geometric Thinking and Concepts 
18. Representing and Interpreting Data 

Appendix ACommon Core State Standards: Standards for Mathematical Practice 
Appendix BCommon Core State Standards: Grades 3-5 Critical Content Areas and Overviews 
Appendix C Mathematics Teaching Practices: NCTM Principles to Action (2014)
Appendix D Activities at a Glance: Volume II
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. Exploring Number and Operation Sense
Developing Addition and Subtraction Operation Sense 
Developing Multiplication and Division Operation Sense 
Multiplication and Division Problem Structures 
Teaching Multiplication and Division 
Properties of Multiplication and Division 
Strategies for Solving Contextual Problems 
Multistep Word Problems
 
9. Developing Basic Fact Fluency
Developmental Phases for Learning the Basic Fact Combinations 
Teaching and Assessing the Basic Fact Combinations 
Reasoning Strategies for Addition Facts 
Reasoning Strategies for Subtraction Facts 
Reasoning Strategies for Multiplication and Division Facts 
Reinforcing Basic Fact Mastery 

10. Developing Whole-Number Place-Value Concepts
Extending Number Relationships to Larger Numbers 
Important Place-Value Concepts 
Extending Base-Ten Concepts 
Oral and Written Names for Numbers 
Patterns and Relationships with Multidigit Numbers 
Numbers beyond 1000 

11. Building Strategies for Whole-Number Computation
Toward Computational Fluency 
Development of Invented Strategies in Addition and Subtraction 
Standard Algorithms for Addition and Subtraction 
    Invented Strategies for Multiplication 
Standard Algorithms for Multiplication 
Invented Strategies for Division 
Standard Algorithms for Division 

Computational Estimation 

12. Exploring Fraction Concepts
Meanings of Fractions 
Models for Fractions 
Fractional Parts of a Whole 
Equivalent Fractions 
Comparing Fractions 
Teaching Considerations for Fraction Concepts

13. Building Strategies for Fraction Computation 
Understanding Fraction Operations 
Addition and Subtraction 
Multiplication 
Division

14. Developing Decimal and Percent Concepts and Decimal Computation
Developing Concepts of Decimals 
Connecting Fractions and Decimals 
Developing Decimal Number Sense 
Computation with Decimals 
Introducing Percents 

15. Promoting Algebraic Thinking  
Strands of Algebraic Thinking 
Generalized Arithmetic 
Meaningful Use of Symbols 
Making Structure in the Number System Explicit 
Patterns and Functional Thinking 

16. Building Measurement Concepts
The Meaning and Process of Measuring 
The Role of Estimation and Approximation 
Length 
Area 
Volume 
Weight and Mass 
Angles 
Time 

Money 

17. Developing Geometric Thinking and Concepts
Geometry Goals for Your Students 
Developing Geometric Thinking 
Shapes and Properties
Learning about Transformations 
Learning about Location 
Learning about Visualizations

18. Representing and Interpreting Data 
What Does It Mean to Do Statistics? 
Formulating Questions 
Data Collection 
Data Analysis: Classification 
Data Analysis: Graphical Representations 
Interpreting Results

Appendix ACommon Core State Standards: Standards for Mathematical Practice 
Appendix BCommon Core State Standards: Grades 3-5 Critical Content Areas and Overviews 
Appendix C Mathematics Teaching Practices: NCTM Principles to Action (2014)
Appendix D Activities at a Glance: Volume II
Appendix E Guide to Blackline Masters
References
Index

Info autore

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 studentcentered math lessons. He coauthored the Scott ForesmanAddison Wesley Mathematics K–6 series and contributed to the Pearson School mathematics program, enVisionMATH. In addition, he wrote numerous chapters and articles for the National Council of Teachers of Mathematics (NCTM) books and journals and was very active in NCTM, including serving on the Board of Directors, as the chair of the Educational Materials Committee, and as a frequent speaker at national and regional meetings.

Karen S. Karp is at the School of Education at Johns Hopkins University-Baltimore, MD. Previously, she was a professor of mathematics education at the University of Louisville for more than twenty years. Prior to entering the field of teacher education she was an elementary school teacher in New York. She is also coauthor of Elementary and Middle School Mathematics: Teaching Developmentally, Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in PreK–Grade 2, and numerous book chapters and articles. She is a former member of the Board of Directors of NCTM and a former president of the Association of Mathematics Teacher Educators (AMTE). She continues to work in classrooms to support teachers of students with disabilities in their mathematics instruction.

LouAnn H. Lovin is a professor of mathematics education at James Madison University (Virginia). She coauthored the first edition of the Teaching StudentCentered Mathematics Professional Development Series with John A. Van de Walle as well as Teaching Mathematics Meaningfully: Solutions for Reaching Struggling Learners, 2nd Edition with David Allsopp and Sarah Vaningen. LouAnn taught mathematics to middle and high school students before transitioning to preK–grade 8. For almost twenty years, she has worked in preK through grade 8 classrooms and engaged with teachers in professional development as they implement a studentcentered approach to teaching mathematics. She has published articles in Teaching Children Mathematics, Mathematics Teaching in the Middle School, and Teaching Exceptional Children and has served on NCTM’s Educational Materials Committee. LouAnn’s research on teachers’ mathematical knowledge for teaching has focused most recently on the developmental nature of prospective teachers’ fraction knowledge.

Jennifer M. Bay-Williams is a professor of mathematics education at the University of Louisville (Kentucky). Jennifer has published many articles on teaching and learning in NCTM journals. She has also coauthored numerous books, including Mathematics Coaching: Resources and Tools for Coaches and Leaders, K–12; Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in PreK–Grade 2; Math and Literature: Grades 6–8; Math and Nonfiction: Grades 6–8; and Navigating through Connections in Grades 6–8. Jennifer taught elementary, middle, and high school in Missouri and in Peru, and continues to work in classrooms at all levels with students and with teachers. Jennifer served as member of Board of Directors for TODOS: Equity for All, as president of AMTE, and as editor for the 2012 NCTM Yearbook.

Riassunto

NOTE: Used books, rentals, and purchases made outside of Pearson

If purchasing or renting from companies other than Pearson, the access codes for the Enhanced Pearson eText may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase.

 

Note: This is the bound book only and does not include access to the Enhanced Pearson eText. To order the Enhanced Pearson eText packaged with a bound book, use ISBN 0134081412. 

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.

 

Improve mastery and retention with the Enhanced Pearson eText
The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content. The Enhanced Pearson eText is:

• Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience.
• Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad® and Android® tablet.*
• Affordable. Experience the advantages of the Enhanced Pearson eText along with all the benefits of print for 40% to 50% less than a print bound book.

*The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads.

*The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7” or 10” tablet, or iPad iOS 5.0 or later.

Dettagli sul prodotto

• Autori: Jennifer Bay-Williams, Jennifer M. Bay-Williams, John a. van de Walle, John van de Walle, Karen Karp, Karen S. Karp, LouAnn Lovin, LouAnn H. Lovin, John Van de Walle, John A. Van de Walle
• Editore: Pearson Academic
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 31.12.2020
• EAN: 9780134556420
• ISBN: 978-0-13-455642-0
• Pagine: 496
• Dimensioni: 213 mm x 274 mm x 23 mm
• Peso: 875 g
• Categorie: Libri scolastici > Libri scolastici per istituti a indirizzo generale; Scienze umane, arte, musica > Pedagogia > Pedagogia scolastica, didattica, metodica