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Guide teachers to help all PreK-8 learners make sense of mathematics

Elementary and Middle School Mathematics: Teaching Developmentally illustrates how children learn mathematics, and then shows pre-service teachers the most effective methods of teaching PreK-8 math through hands-on, problem-based activities.

As teacher candidates engage with the activities, they boost their own knowledge of the math and learn concrete, developmentally appropriate ways to incorporate problem-based tasks in their classrooms. Examples of real student work and new common challenges and misconception tables allow readers to visualise good mathematics instruction and assessment that supports and challenges all learners. An important reference to consult throughout a teaching career, this book reflects the Common Core State Standards and NCTM’s Principles to Actions, as well as current research and coverage of the latest teaching technology.

Elementary and Middle School Mathematics: Teaching Developmentally, Global Edition

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