03893nam 22006734a 450 991096090660332120251116141106.09780309132848030913284397803095052460309505240(CKB)110986584753058(SSID)ssj0000276657(PQKBManifestationID)11229929(PQKBTitleCode)TC0000276657(PQKBWorkID)10226548(PQKB)10559194(MiAaPQ)EBC3375421(Au-PeEL)EBL3375421(CaPaEBR)ebr10038695(OCoLC)817963384(Perlego)4734460(BIP)53858170(BIP)36114829(EXLCZ)9911098658475305820010321d2001 uy 0engurcn|||||||||txtccrAdding 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, editors1st ed.Washington, DC National Academy Pressc2001xvii, 454 p. illBibliographic Level Mode of Issuance: Monograph9780309218955 0309218950 9780309069953 0309069955 Includes bibliographical references and index.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.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.MathematicsStudy and teaching (Elementary)United StatesMathematicsStudy and teaching (Middle school)United StatesMathematicsStudy and teaching (Elementary)MathematicsStudy and teaching (Middle school)372.7Kilpatrick Jeremy736383Swafford Jane1813251Findell Bradford1813252National Research Council (U.S.)MiAaPQMiAaPQMiAaPQBOOK9910960906603321Adding it up4366172UNINA