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Teaching Student-Centered Mathematics - John Van de Walle, Jennifer Bay-Williams, LouAnn Lovin, Karen Karp

Teaching Student-Centered Mathematics

Developmentally Appropriate Instruction for Grades 6-8 (Volume III), Enhanced Pearson eText -- Access Card
Druckwerk
9998 Seiten
2017 | 3rd edition
Pearson
978-0-13-455639-0 (ISBN)
CHF 69,95 inkl. MwSt
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 This book is a practical guide for developmentally appropriate, student-centered mathematics instruction. It is a comprehensive resource that can be used for personal reference, read and discussed as part of a collaboration (such as professional learning communities), or used as a resource for professional development projects.

 

MARKET: Grade 6-8 mathematics teachers

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 student-centered math lessons. He co-authored the Scott Foresman-Addison 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. LouAnn H. Lovin is a professor of mathematics education at James Madison University (Virginia). She co-authored the first edition of the Teaching Student - Centered 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 pre-K—grade 8. For almost twenty years, she has worked in pre-K 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. 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 co-author of Elementary and Middle School Mathematics: Teaching Developmentally, Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in Pre-K—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. 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 Pre-K—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.

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 Fraction Concepts and Computation

9 Decimal Concepts and Computation

10 The Number System 

11 Ratios and Proportional Relationships 

12 Algebraic Thinking: Expressions, Equations, and Functions 

13 Developing Geometry Concepts 

14 Exploring Measurement Concepts 

15 Working with Data and Doing Statistics 

16 Investigating Concepts of Probability




Appendix A Common Core State Standards: Standards for Mathematical Practice

Appendix B Common Core State Standards: Grades 6—8 Critical Content Areas and Overviews 

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

Appendix D Activities at a Glance: Volume III 

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 Fraction Concepts and Computation 

               Meanings of Fractions 

               Partitioning and Iterating 

               Fraction Equivalencies 

               Comparing Fractions 

               Understanding Fraction Operations 

               Addition and Subtraction 

               Multiplication 

               Division 

               Teaching Fractions Effectively 

               Literature Connections 

     9 Decimal Concepts and Computation 

               Extending the Place-Value System 

               Connecting Fractions and Decimals 

               Emphasizing Equivalence between Fractions and Decimals 

               Comparing and Ordering Decimal Fractions

               Addition and Subtraction 

               Multiplication 

               Division 

               Percents

     10 The Number System 

               Exponents 

               Positive and Negative Numbers 

               Operations with Positive and Negative Numbers 

               Real Numbers 

               Literature Connections 

     11 Ratios and Proportional Relationships 

               Ratios 

               Proportional Reasoning 

               Covariation in Algebra

               Strategies for Solving Proportional Situations 

               Teaching Proportional Reasoning 

               Literature Connections 

     12 Algebraic Thinking: Expressions, Equations, and Functions 

               Structure in the Number System: Connecting Number and Algebra 

               Structure in the Number System: Properties 

               Patterns and Functions 

               Meaningful Use of Symbols 

               Mathematical Modeling 

               Algebraic Thinking across the Curriculum 

               Literature Connections 

     13 Developing Geometry Concepts 

               Developing Geometric Thinking 

               Shapes and Properties 

               Transformations

               Location 

               Visualization 

               Literature Connections 

     14 Exploring Measurement Concepts 

               Foundations of Measuring 

               Angles 

               Area 

               Volume and Capacity 

               Literature Connections 

     15 Working with Data and Doing Statistics 

               What Does It Mean to Do Statistics? 

               Formulating Questions 

               Collecting Data 

               Analyzing Data: Graphs 

               Analyzing Data: Measures of Center and Variability 

               Interpreting Results 

               Literature Connections 

     16 Investigating Concepts of Probability 

               Introducing Probability 

               Theoretical Probability and Experiments 

               Sample Spaces and the Probability of Compound Events 

               Simulations 

               Common Misconceptions about Probability 

               Literature Connections

Appendix A Common Core State Standards: Standards for Mathematical Practice

Appendix B Common Core State Standards: Grades 6—8 Critical Content Areas and Overviews

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

Appendix D Activities at a Glance: Volume III 

Appendix E Guide to Blackline Masters 

References 

Index

Erscheint lt. Verlag 28.5.2018
Sprache englisch
Maße 216 x 279 mm
Gewicht 14 g
Themenwelt Schulbuch / Wörterbuch
Sozialwissenschaften Pädagogik Schulpädagogik / Grundschule
ISBN-10 0-13-455639-9 / 0134556399
ISBN-13 978-0-13-455639-0 / 9780134556390
Zustand Neuware
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