Adding it up : helping children learn mathematics / Mathematics Learning Study Committee, Center for Education, Division of Behaviorial and Social Sciences and Education, National Research Council ; Jeremy Kilpatrick, Jane Swafford, and Bradford Findell, editors.

Format:

Book

Contributor:

Kilpatrick, Jeremy.

Swafford, Jane.

Findell, Bradford.

National Research Council (U.S.)

Language:

English

Subjects (All):

Mathematics--Study and teaching (Elementary)--United States.

Mathematics.

Mathematics--Study and teaching (Middle school)--United States.

Physical Description:

xvii, 454 p. : ill.

Edition:

1st ed.

Place of Publication:

Washington, DC : National Academy Press, c2001.

Language Note:

English

Summary:

Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. The committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning: Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction. Details on the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics. The committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics.

Contents:

Cover

Front Matter

REVIEWERS

ACKNOWLEDGMENTS

PREFACE

TABLE OF CONTENTS

EXECUTIVE SUMMARY

1 LOOKING AT MATHEMATICS AND LEARNING

2 THE STATE OF SCHOOL MATHEMATICS IN THE UNITED STATES

3 NUMBER: WHAT IS THERE TO KNOW?

4 THE STRANDS OF MATHEMATICAL PROFICIENCY

5 THE MATHEMATICAL KNOWLEDGE CHILDREN BRING TO SCHOOL

6 DEVELOPING PROFICIENCY WITH WHOLE NUMBERS

7 DEVELOPING PROFICIENCY WITH OTHER NUMBERS

8 DEVELOPING MATHEMATICAL PROFICIENCY BEYOND NUMBER

9 TEACHING FOR MATHEMATICAL PROFICIENCY

10 DEVELOPING PROFICIENCY IN TEACHING MATHEMATICS

11 CONCLUSIONS AND RECOMMENDATIONS

BIOGRAPHICAL SKETCHES.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

ISBN:

9780309132848

0309132843

9780309505246

0309505240

OCLC:

817963384