Elementary and Middle School Mathematics: Teaching Developmentally, Global Edition, 10th edition
- John A. Van de Walle |
- Karen S. Karp |
- Jennifer M. Bay-Williams |
Title overview
This title is a Pearson Global Edition. The Editorial team at Pearson has workedclosely with educators around the world to include content which is especiallyrelevant to students outside the United States.
Guideteachers to help all PreK-8 learners make sense of mathematics
Elementary and Middle SchoolMathematics: Teaching Developmentally illustrates how children learn mathematics, and thenshows pre-service teachers the most effective methods of teaching PreK-8 maththrough hands-on, problem-based activities.
As teachercandidates engage with the activities, they boost their own knowledge of themath and learn concrete, developmentally appropriate ways to incorporateproblem-based tasks in their classrooms. Examples of real student work and newcommon challenges and misconception tables allow readers to visualizegood mathematics instruction and assessment that supports and challenges alllearners. An important reference to consult throughout a teaching career, thisbook reflects the Common Core State Standards and NCTM’s Principles to Actions,as well as current research and coverage of the latest teaching technology.
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Focus on the learner
- Samples of real student work illustrate student thinking and responses to problem-based assignments. Pre-service teachers see direct examples of the ideas suggested, providing a window into children’s mathematical reasoning.
- NEW: Common challenges and misconceptions are outlined in easy-to-read tables that pre-service teachers can reference in their classroom planning and teaching. Each research-based table includes a student challenge, a sample of student work or a statement illustrating the challenge, and brief ideas of what an educator might do to help.
- Formative Assessment Notes help educators evaluate students’ understanding of different content areas and offer strategies on the best way to assist struggling students (Section II).
- Adaptations for Students with Special Needs and English Learners present practical strategies to make tasks and activities accessible for all students (Ch. 6 and in labeled Activities).
Help readers visualize good mathematics instruction
- Robust, problem-based Activities engage students in the use of significant mathematical concepts and skills (Section II).
- NEW: Routines—including innovative lesson designs and short discussion initiators—help students develop number sense, flexibility, and the mathematical practices. (Ch. 4: 3-Act Tasks; Number Talks; and Worked Examples).
- UPDATED: Mathematical modeling discussions now reflect the Guidelines for Assessment & Instruction in Mathematical Modeling Education (GAIMME) Report (COMAP & SIAM, 2016), as well as findings from recent books and articles (Ch. 13).
- Big Ideas lists help future teachers envision the best way to form their lesson plans around major themes rather than focusing on isolated skills or concepts (Section II).
- UPDATED: Technology Notes, discussions, tools, and ideas are infused throughout the book to better reflect the pervasiveness of technology in teaching today.
Offer additional resources for effective teaching
- Common Core State Standards (CCSSO, 2010), NCTM Teaching standards (App. A, B), and research-based strategies are included to give pre-service teachers a thorough reference for all of the math content suggested for grades PreK-8.
- UPDATED: Nearly 300 new references in the 10th Edition reflect the most current research, standards, and exemplars.
- Standards for Mathematical Practice Margin Notes connect the eight Standards of Mathematical Practice from the Common Core State Standards with in-text examples.
- Literature Connections help educators link the mathematics concepts in the chapter with an example of great children’s literature—motivating them to teach math in a new and interesting context (Section II).
- Recommended Readings include annotated lists of NCTM articles and books, and other professional resources the reader can use in the classroom.
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- Embedded Videos use real classroom footage to illustrate or expand on key chapter concepts, helping students
Guide teachers to help all PreK-8 learners make sense ofmathematics
· Common challenges and misconceptions are outlined in easy-to-read tables thatpre-service teachers can reference in their classroom planning and teaching.Each research-based table includes a student challenge, a sample of studentwork or a statement illustrating the challenge, and brief ideas of what aneducator might do to help.
· Routines—includinginnovative lesson designs and short discussion initiators—help students developnumber sense, flexibility, and the mathematical practices. (Ch. 4: 3-Act Tasks;Number Talks; and Worked Examples).
· Mathematical modeling discussions now reflect the Guidelines for Assessment &Instruction in Mathematical Modeling Education (GAIMME) Report (COMAP &SIAM, 2016), as well as findings from recent books and articles (Ch. 13).
· Technology Notes, discussions, tools, and ideas are infused throughout the book tobetter reflect the pervasiveness of technology in teaching today.
· Nearly 300 new references in the 10th Edition reflect the most current research,standards, and exemplars.
This title isavailable with Pearson Horizon, an easy-to-use, local-language digital platform thatdelivers a customizable, personalized learning experience — all while stayingrelevant to your area of the world. Pearson Horizon is available for selecttitles and in select geographies. For purchase options, please contact yourPearson representative.
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Table of contents
SECTION I:TEACHING MATHEMATICS: FOUNDATIONS AND PERSPECTIVES
1. TeachingMathematics in the 21st Century
2. ExploringWhat It Means to Know and Do Mathematics
3. Teachingthrough Problem Solving
4. Planningin the Problem-Based Classroom
5. CreatingAssessments for Learning
6. Teaching MathematicsEquitably to All Students
SECTION II:DEVELOPMENT OF MATHEMATICAL CONCEPTS AND PROCEDURES
7. DevelopingEarly Number Concepts and Number Sense
8. DevelopingMeanings for the Operations
9. DevelopingBasic Fact Fluency
10.Developing Whole-Number Place-Value Concepts
11.Developing Strategies for Addition and Subtraction Computation
12.Developing Strategies for Multiplication and Division Computation
13. AlgebraicThinking, Equations, and Functions
14.Developing Fraction Concepts
15. DevelopingFraction Operations
16.Developing Decimal and Percent Concepts and Decimal Computation
17. Ratios,Proportions, and Proportional Reasoning
18.Developing Measurement Concepts
19. GeometricThinking and Geometric Concepts
20.Developing Concepts of Data Analysis
21. ExploringConcepts of Probability
22.Developing Concepts of Exponents, Integers, and Real Numbers
Appendix A.Standards for Mathematical Practice A-1
Appendix B.NCTM Mathematics Teaching Practices: from Principles to Actions A-5
Appendix C.Guide to Blackline Masters A-7
Appendix D.Activities at a Glance A-13