Teaching and Learning Mathematics

Designed to support teachers as they build mathematical understanding, strengthen students’ abilities to think, help students make sense of mathematics, and assist students in attaining computational fluency. Emphasizes problem posing and problem solving, and encourages teachers to invite children to use their own higher-level thinking processes, including mental calculation and estimation. 1. Preparing to Teach Mathematics

2. Children and Mathematics

3. Organizing for Mathematics Instruction

4. Reasoning, Solving, Posing and Extended Problems

5. Attaching Meaning to Numbers

6. Teaching and Learning Addition and Subtraction of Whole Numbers and Integers

7. Teaching and Learning Multiplication and Division of Whole Numbers and Integers

8. Attaching Meaning to Rational Numbers

9. Teaching and Learning Operations with Rational Numbers

10. Teaching and Learning Algebra

11. Teaching and Learning Geometry

12. Teaching and Learning Measurement

13. Teaching and Learning Data Analysis and Probability

Appendix A

Suppliers of Manipulative Materials, Books, Calculators, and Computer Software

Appendix B

Blackline Masters

Index

Linda Jensen Sheffield and Douglas E. Cruikshank are the authors of Teaching and Learning Mathematics: Pre-Kindergarten through Middle School, 5th Edition, published by Wiley. Help students make sense of mathematics

Rather than merely discussing how to improve students’ ability to do mathematics, Sheffield and Cruikshank’s Fifth Edition of Teaching and Learning Elementary and Middle School Mathematics focuses on helping them make sense of mathematics. Based on research on the functioning of the mind as it engages in learning, the text supports teachers as they promote mathematical understanding, strengthen students’ abilities to think, and help students to attain computational fluency.

Features

• A rich collection of ready-to-use learning activities. Activities are based on current research into student learning, mathematics instruction, and developmental practices.
• Fully integrated language and intent of Principles and Standards for School Mathematics (PSSM).
• A greater emphasis on problem solving and higher-level thinking using rich learning tasks that encourage in-depth reasoning and utilize a wide variety of physical models to exemplify mathematical concepts.
• A greater focus on teaching mathematics to diverse learners.
• Weblinks to the latest research and activities.
• Numerous opportunities for discussion and reflection on the ideas that emerge from the chapter material.
• Descriptions of a variety of promising and effective mathematics programs for the K – 8 levels.