A history of mathematics education in the United States and Canada:
Gespeichert in:
Format: | Buch |
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Sprache: | English |
Veröffentlicht: |
Washington, D.C.
National Council of Teachers of Mathematics
1970
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Schriftenreihe: | National Council of Teachers of Mathematics: Yearbook
32 = 1970 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XVI, 557 S. Ill., graph.Darst. |
Internformat
MARC
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adam_text | Table of Contents
Preface iii
Acknowledgments vi
INTRODUCTION
Phillip S. Jones and Arthur F. Coxford, Jr.
1 The Goals of History: Issues and Forces /
Our Goals 1
Our Themes: Forces and Issues 2
Progress by Periods 4
Summary and Preview 7
PART ONE
Mathematics in the Evolving Schools
Phillip S. Jones and Arthur F. Coxford, Jr.
2 From Discovery to an Awakened Concern for Pedagogy:
1492-1821 11
The Earliest American Mathematics 11
The Content and Processes of Colonial Instruction 13
The Latin Grammar School and the Academy 18
ix
x CONTENTS
The Colleges and the Mathematical Community 18
Self-Instruction 20
The Teachers and Pedagogy 21
Summary 22
3 From Colburn to the Rise of the Universities: 1821-94 24
Forces at Work 24
The Elementary Schools 25
The Secondary Schools 27
The Colleges and the Mathematical Community 28
Teacher Training and Pedagogy 30
The Climate of Reform 33
Summary 34
4 First Steps toward Revision: 1894-1920 36
Forces at Work 36
The Elementary Schools 37
The Secondary Schools 39
The Colleges and the Mathematical Community 41
Pedagogy and Teacher Training 42
Summary 43
5 Abortive Reform—Depression and War: 1920-45 46
A Period of Unrest 46
The Elementary School 48
The Junior High School 51
The Senior High School 53
The War and Its Effects 58
The Junior College 60
The Colleges, Teacher Training, and the Mathematical
Community 61
Psychological and Educational Theories 63
Summary 63
6 Reform, Revolution, Reaction: 1945-Present 67
A Buildup of Pressures for Reform: Old Forces 67
New Forces 68
The Prelude to Reform 72
The Elementary School 76
The Secondary School 78
Teacher Training, Certification, and the Conversion to
New Programs 79
Collegiate Mathematics 81
Reaction 81
Psychological and Educational Theories 83
Summary 86
CONTENTS Xi
PART TWO
Forces and Issues Related to Curriculum and Instruction, K-6
M. Vere De Vault and /. Fred Weaver
7 Elementary Mathematics Education: An Overview 93
The Major Periods 93
The Continuing Issues 94
The Continuing Forces 95
8 From Settlement to the End of the Nineteenth Century:
1607-1894 98
Introduction 98
Why Teach Mathematics? 98
What Mathematics Should Be Taught? 99
How Should We Organize the Mathematics We Teach? 103
How Should Instruction in Arithmetic Be Organized and
Implemented? 104
Summary of the Period 1607-1894 105
9 Scientism and Changing Conceptions of Elementary
Schooling: 1894-192 3 107
Evidences of Change 107
Why Teach Mathematics? 109
What Mathematics Should We Teach? 110
How Should We Organize and Implement Instruction? 114
Summary 116
10 Mathematics Education during the Rise and Fall of
Progressive Education: 1923-52 118
Forces at Work 118
Why Teach Mathematics? 120
What Mathematics Should We Teach? 122
How Should We Organize the Mathematics We Teach? 125
How Should We Organize and Implement Instruction? 121
Summary 131
11 Designing a Contemporary Elementary School
Mathematics Program: 1952-Present 133
Introduction 133
Why Teach Mathematics? 134
What Mathematics Should We Teach? 135
xii CONTENTS
How Should We Organize the Mathematics We Teach? 140
How Should We Organize and Implement Instruction? 142
Summary 144
PART THREE
Forces and Issues Related to Curriculum and
Instruction, 7-12
Alari R. Osborne and F. Joe Crosswhite
12 Emerging Issues: 1890-1920 155
Introduction 15;
Mathematics Education in 1890 755
Arithmetic 157
Algebra 158
Geometry 161
Other Forces 162
The Committee of Ten 163
Impact of the Report of the Committee of Ten 167
College Entrance Requirements 168
The Unified Mathematics Movement 173
Reactions to the Unification Movement 177
Geometrical Developments 179
The International Commission 182
Practical Utility in Mathematics Education 183
The Changing School Population and Vocational
Education 184
Psychologizing Secondary Si 1100I Mathematics 185
The Cult of Efficiency and Secondary School
Mathematics 188
The Educational Generalists View of the Curriculum 192
The Founding of the NCTM 194
Overview: 1890 to 1920 196
13 Mathematics Education on the Defensive: 1920-45 197
The 1923 Report 197
Aims and The 1923 Report 202
Psychology and the Report 204
The Function Concept 205
Model Curricula of the Report 206
Immediate Reactions and Responses to the Report 208
The Dominant Forces—1920 through 1940 209
Individual Differences Become an Issue 212
Objectives, Psychological Theories, and Progressive
Education Become Issues 213
CONTENTS Xlii
The Curriculum in Grades 7 and 8 218
Algebra and General Mathematics 220
Geometry 222
The Reports of the Progressive Education Association
Committee and of the Joint Commission—1940 22$
Gearing Up for War 231
Summary 233
14 Reform, Revolution, and Reaction 23$
Introduction: Forces and Issues 235
The Educational Policies Commission 239
The Harvard Report 241
Commission on Post-War Plans 243
General Education in School and College 246
Technological Needs and Education of the Gifted 248
The University of Illinois Committee on School
Mathematics 251
The Coalescence of National Support 256
The Commission on Mathematics of the CEEB 259
The NCTM s Support erf the Reform Movement 266
Early Curriculum Development Projects 268
The School Mathematics Project 269
A Summary of the Curriculum Reform Projects 281
Criticisms of Reforms 284
Similarities among Reform Movements 281
The Cambridge Conference 291
Reactions to the Cambridge Report 295
New Directions 296
PART FOUR
The Education of Teachers of Mathematics
E. Glenadine Gibb, Houston T. Karnes,
and F. Lyntoood Wren
15 Teacher Education in the United States through 1945 301
Introduction 301
The First Normal School 302
The Normal School Program 304
The First Two Decades of the Twentieth Century 308
In-service Teacher Education 314
The 1923 Report and Its Consequences 316
Further Developments: 1923-45 320
x [y CONTENTS
16 The Modern Era: 1945-Present 327
Introduction 327
Status Surveys 328
In-service Education 329
Recommendations for Improvement
in Teacher Education 334
The Implementation of Recommendations 341
What of the Future? 345
PART FIVE
School Mathematics in Canada
17 Mathematics Education in French-speaking Canada 353
Douglas J. Potvin
Two Cultures 353
The Historical Development 354
The Classical Colleges 358
Mathematics in New France 358
Mathematics in the English Schools 364
New Trends in Mathematics Education 365
Uniformity in the Curriculum 367
Forces and Issues 370
18 School Mathematics in Ontario, 1763-1894:
From Settlement to System 371
Douglas H. Crawford
Introduction 371
The Pioneer Period: 1790-1841 372
The Ryerson Regime: 1841-76 374
McLellan and Subsequent Reaction: 1876-94 380
Summary 384
19 School Mathematics in Ontario, 1894-1959:
Expansion and Moderate Reform 385
Douglas H. Crawford
Introduction 385
The Period of Reform Movements: 1894-1920 387
Adapting Curricula to Life: 1920-45 392
Postwar Reform and the Rebirth of School Mathematics:
1945-59 399
CONTENTS XV
20 Mathematics Education in Western Canada 412
Solberg E. Sigurdson
A Survey 412
Elementary School Arithmetic 415
Intermediate School Mathematics 419
Unifying Mathematics 421
The Decline of High School Arithmetic 424
21 Rethinking School Mathematics: 1959-Present 426
Douglas H. Crawford
The Socioeconomic Status of Canada in i960 426
The Commissions on Education 421
The i960 Ottawa Seminar 428
The Canadian Association of Mathematics Teachers 430
Alberta 431
Ontario 434
Nova Scotia 440
An Overview 444
PART SIX
Epilogue: Summary and Forecast
22 Present-Day Issues and Forces 453
Phillip S. Jones
Persons and Personalities 453
Research in Mathematics Education 454
Recurring Issues and Continuing Themes 455
Forces 460
Teacher Education 463
Similarities and Differences 463
L Envoi 464
Appendix A—Members of Committees Cited
and National Council of Teachers of Mathematics
Officers, Directors, and Editors 467
Cited Committees 468
National Council of Teachers of Mathematics 480
Index of Names 487
XVI CONTENTS
Appendix B—A Survey of Research in Mathematics Education 493
Bibliography A—The United States of America 501
Committee Reports and Status Studies 501
Books and Pamphlets 506
Journal and Yearbook Articles 518
Dissertations 526
Bibliography B—Canada 528
Reports, Status Studies, Programmes 528
Books and Pamphlets 530
Journal and Yearbook Articles 533
Theses and Dissertations 535
Index 537
Illustrations
Both Puzzled xviii
Pages from a Copybook in the Archives of
Dartmouth College xx, 10
First Arithmetic Printed in the United States Facing pages 14, 15
First Arithmetic Written and Printed in the
United States Facing pages 18, 19
First English Work on Descriptive Geometry Facing page 28
First Advanced Mathematical Work Published
in the United States Facing page 29
Pages from Colburn s Arithmetic 90, 92
More Pages from Colburn s Arithmetic Facing pages 102, 103
Pages from The Reorganization of
Mathematics in Secondary Education 199-201
First Book on the Teaching of Mathematics
Published in the United States 298
First Book on the Teaching of Arithmetic
Published in the United States 300
Egerton Ryerson Facing page 380
James A. McLellan Facing page 381
Ontario Algebra and Geometry Examination,
1914 Facing pages 410, 411
Alberta Matriculation Examination, 1939 Facing pages 414, 415
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spelling | A history of mathematics education in the United States and Canada Washington, D.C. National Council of Teachers of Mathematics 1970 XVI, 557 S. Ill., graph.Darst. txt rdacontent n rdamedia nc rdacarrier National Council of Teachers of Mathematics: Yearbook 32 = 1970 Mathématiques - Étude et enseignement - Canada - Histoire Mathématiques - Étude et enseignement - États-Unis - Histoire Onderwijs gtt Wiskunde gtt Geschichte Mathematik Unterricht Mathematics Study and teaching Canada History Mathematics Study and teaching United States History Geschichte (DE-588)4020517-4 gnd rswk-swf Mathematikunterricht (DE-588)4037949-8 gnd rswk-swf Kanada USA USA (DE-588)4078704-7 gnd rswk-swf Kanada (DE-588)4029456-0 gnd rswk-swf Kanada (DE-588)4029456-0 g Mathematikunterricht (DE-588)4037949-8 s Geschichte (DE-588)4020517-4 s DE-604 USA (DE-588)4078704-7 g National Council of Teachers of Mathematics: Yearbook 32 = 1970 (DE-604)BV002779092 32 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003750305&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | A history of mathematics education in the United States and Canada National Council of Teachers of Mathematics: Yearbook Mathématiques - Étude et enseignement - Canada - Histoire Mathématiques - Étude et enseignement - États-Unis - Histoire Onderwijs gtt Wiskunde gtt Geschichte Mathematik Unterricht Mathematics Study and teaching Canada History Mathematics Study and teaching United States History Geschichte (DE-588)4020517-4 gnd Mathematikunterricht (DE-588)4037949-8 gnd |
subject_GND | (DE-588)4020517-4 (DE-588)4037949-8 (DE-588)4078704-7 (DE-588)4029456-0 |
title | A history of mathematics education in the United States and Canada |
title_auth | A history of mathematics education in the United States and Canada |
title_exact_search | A history of mathematics education in the United States and Canada |
title_full | A history of mathematics education in the United States and Canada |
title_fullStr | A history of mathematics education in the United States and Canada |
title_full_unstemmed | A history of mathematics education in the United States and Canada |
title_short | A history of mathematics education in the United States and Canada |
title_sort | a history of mathematics education in the united states and canada |
topic | Mathématiques - Étude et enseignement - Canada - Histoire Mathématiques - Étude et enseignement - États-Unis - Histoire Onderwijs gtt Wiskunde gtt Geschichte Mathematik Unterricht Mathematics Study and teaching Canada History Mathematics Study and teaching United States History Geschichte (DE-588)4020517-4 gnd Mathematikunterricht (DE-588)4037949-8 gnd |
topic_facet | Mathématiques - Étude et enseignement - Canada - Histoire Mathématiques - Étude et enseignement - États-Unis - Histoire Onderwijs Wiskunde Geschichte Mathematik Unterricht Mathematics Study and teaching Canada History Mathematics Study and teaching United States History Mathematikunterricht Kanada USA |
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volume_link | (DE-604)BV002779092 |