Textbook

Teaching and Learning Mathematics: Pre-Kindergarten through Middle School, 5th Edition

Linda Jensen Sheffield, Douglas E. Cruikshank

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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.

Table of Contents

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

New To This Edition

• Revisiting the functioning of the mind as it engages in learning in general and mathematics in particular, and developing a theme to be used throughout the text that focuses on making sense of mathematics.

• Fully integrated language and intent of Principles and Standards for School Mathematics (PSSM).

• Expanded presentation of mathematical understanding and the constructivist view of learning.

• Activities are based on current research of student learning, mathematics instruction, and developmental practices.

• A greater focus on teaching mathematics to diverse learners.

• Chapters have been reorganized to more closely follow PSSM.

Hallmark Features

• Rich learning activities are designed to get students to make sense of mathematics and to think deeply about mathematical concepts. Students will find a number of quality activities that they can use directly with children along with samples of student responses.

• Weblinks: Students can find the latest research and activities on the web that support and extend the concepts in the book.

• Numerous activities are presented in each chapter using physical models for concept development and for fluency with skills.

• “For You as a Teacher: Ideas for Discussion and Your Professional Portfolio” is found at the conclusion of each chapter. This section provides an opportunity for students to reflect and write on selected discussion ideas that emerge from the chapter material.

• A section on the “Math Program” is found in nearly ever chapter, illustrating and commenting on materials from a variety of mathematics programs chosen from the K – 8 levels. Many of these are from programs that have been judged to be promising or exemplary by national panels.

Related Websites

Student Companion Site

Sheffield TEACHING AND LEARNING MATHEMATICS 5e Book Companion SiteInstructor's Companion Site includes Instructor's Manual, Test bank, appendices, sample chapter, and web links. Student Companion Site.

Sheffield TEACHING AND LEARNING MATHEMATICS 5e Book Companion SiteInstructor's Companion Site includes Instructor's Manual, Test bank, and sample chapter. Student Companion Site: Appendices, Web Links.

Instructor Companion Site