Marilyn Zweng, Thomas Green, Jeremy Kilpatrick, Henry Pollak, Marilyn Suydam
ICME-4 1980 Berkeley (USA)
Birkhäuser Boston | 1983 | 739 páginas | pdf
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TABLE OF CONTENTS
CHAPTER I - Plenary Session Addresses
1.1 Mathematics Improves the Mind
George Polya
1.2 Major Problems of Mathematics Education
Hans Freudenthal
1.3 Young Children's Acquisition of Language and Understanding of Mathematics
Hermina Sinclair
1.4 Reactions to Hermina Sinclair's Plenary Lecture 13
Bill Higginson
Some Experiences in Popularizing Mathematical Methods
Hua Loo-keng
Reactions to Hua Loo-keng's Plenary Lecture 23
Dorothy Bernstein, J.S. Gyakye Jackson
CHAPTER 2 - Universal Basic Education 27
2.1 Mathematics in General Primary Education
Romanus O. Ohuche
2.2 Back-to-Basics: Past, Present, Future
Max Sobel
2.3 Suggested Mathematics Curricula for Students Who Leave School at Early Ages
Shirley Frye, Alonso B. Viteri Garrido
CHAPTER 3 - Elementary Education 36
3.1 Roots of Failure in Primary School Arithmetic
Frederique Papy
3.2 Do We Still Need Fractions in the ELementary Curriculum?
Peter Hilton, Mary Laycock
CHAPTER 4 - Post-Secondary Education 44
4.1 Decline in Post-Secondary Students Continuing the Study of Mathematics
James T. Fey, R.R. McLone, Bienvenide F. Nebres
4.2 Is Calculus Essential? 50
Margaret E. Rayner, Fred Roberts
4.3 Mathematics and the Physical Science and Engineering
Gerhard Becker, Daniela Gori-Giorgi, Jean-Pierre Provost
4.4 Why We Must and How We Can Improve the Teaching of Post-Secondary Mathematics
Henry L. Alder, Detlef Laugwitz
4.5 Alternate Approaches to Beginning'the Teaching of Calculus and the Effectiveness of These Methods
George Papy, Daniel Reisz
4.6 In What Ways Have the Mathematical Preparation of Students for Post-Secondary Mathematics Courses Changed? 70
Kathleen Cross, S.M. Sharfuddin
4.7 Curriculum for A Mathematical Sciences Major
Alan Tucker
4.8 University Programs with an Industrial Problem Focus
Jerome Spanier, Germund Dahlquist, A.Clayton Aucoin, Willian E. Boyce, J.L. Agnew
CHAPTER 5 - The Profession of Teoching 89
5.1 Current Status and Trends in Teacher Education
David Alexander, Jeffrey Baxter, Sr. lluminada C. Coronel, f.m.m., Hilary Shuard
5.2 Integration of Content and Pedagogy in Pre-Service Teacher Education
Zbigniew Semadeni, Julian Weissglass
5.3 Preparation in Mathematics of a Prospective Elementary Teacher Today, in View of the Current Trends in Mathematics, in Schools, and in Society 100
James E. Schultz
5.4 Evaluation of Teachers and Their Teaching 102
Thomas J. Cooney, Edward C. Jacobsen
5.5 Hand-held Calculators and Teacher Education 107
Willy Vanhamme
5.6 Computers in Mathematics Teacher Education 109
Rosemary Fraser
5.7 The Mathematicol Preparation of Secondary Teachers - Content and Method
Trevor Fletcher
5.8 Special Assistance for the Beginning Teacher
Edith Biggs, Mervyn DlKlkley
5.9 The Making of a Professional Mathematics Teacher
Gerald Rising, Geoffry Howson
5.10 The Dilemma of Teachers Between Teaching What They Like and Teaching What the Pupils Need to Know: How Much Freedom Should Teachers Have to Add Materials, How Much Material, Which Teachers? 124
Andrew C. Porter
5.11 Integration of Mathematical and Pedagogical Content In-Service Teacher Education: Successful and Unsuccessful Attempts 126
David A. Sturgess, E. Glenodine Gibb
5.12 In-Service Educati on for Secondary Teachers 1 31
Martin Barner, Michel Darche, Richard Pallascio
5.13 Support Services for Teachers of Mathematics 1 40
Michael Silbert, Max Stephens
5.14 What is a Professional Teacher of Mathematics?
John C. Egsgard, Jacques Nimier, Leopoldo Varela
CHAPTER 6 - Geometry 153
6.1 Geometry in the Secondary School 153
Eric Gower, G. Holland, Jean Pederson, Julio Castineira Merino
6.2 Geometric Activities in the Elementary School
Koichi Abe. John Del Grande
6.3 The Death of Geometry at the Post-Secondary Level
Branko Grunbaum, Robert Osserman
6.4 The Development of Children's Spatial Ideas
Michael C. Mitchelmore, Dieter Lunkenbein, Kiyoshi Yokochi. Alan J. Bishop
CHAPTER 7 - Stochastics
7.1 Statistics: Probability: Computer Science: Mathematics. Many Phases of One Program?
Leo Klingen, Richard S. Pieters
7.2 Vigor, Variety and Vision - - the Vitality of Statistics and Probability
I.J. Good
7.3 The Place of Probability in the Curriculum
Ruma Falk, Tibor Nemetz
7.4 The Nature of Statistics to be Taught in Schools 198
Jim Swift, A.P. Shulte, Peter Holmes
7.5 Statistics and Probability in Teacher Education 202
Peter Holmes, Luis A. Santalo
CHAPTER 8 - Applications 207
8.1 Mathematics and the Biological Sciences -Implications for Teaching
Sam O. Ale, Diego Bricio Hernandez, Lilia del Riego
8.2 The Relationship of Mathematics and the Teaching of Mathematics with the Social Sciences
John Ling, Ivo W. Molenaar, Samuel Goldberg
8.3 Applications, Modeling and Teacher Education
Aristedes C. Barreto, Hugh Burkhardt
8.4 The Use of Modules to Introduce Applied Mathematics into the Curriculum
John Gaffney
8.5 Teaching Applications of Mathematics
F. van der Blij, Douglas A. Quadling, Paul C. Rosenbloom
8.6 The Interface between Mathematics and Imployment
Connie Knox, David R. Mathews, Rudolf Straesser, Robert Li ndsay, P.C. Price, Werner Blum
8.7 How Effective are Integrated Courses in Mathematics and Science for the Teaching of Mathematics?
Mogens Niss, Helmut Siemon
8.8 Materials Available Worldwide for Teaching Applications of Mathematics at the School Level
Max S. Bell
8.9 Mutualism in Pure and Applied Mathematics
Maynard Thompson, Donald Bushaw, Candido Sitia
CHAPTER 9 - Problem Solving 276
9.1 Teaching for Effective Problem Solving: A Challenging Problem
Shmuel Avital, Jose R. Pascual Ibarra, Ian Isaacs
9.2 Real Problem Solving 283
Diana Burkhardt
9.3 Mathematization, Its Nature and Its Use in Education
Eric Love, Marion Walter, David Wheeler
9.4 The Mathematization of Situations Outside Mathematics from an Educational Point of View
Rolf Biehler, Tatsuro Miwa, Christopher Ormell, Vern Treilibs
CHAPTER 10 - Special Mathematical Topics 299
10.1 Algebraic Coding Theory
J.H. van Lint
10.2 Combinatorics 303
Nicolas Balacheff, David Singmaster
10.3 The Impact of Algorithms on Mathematics Teaching 312
Arthur Engel
10.4 Operations Research 330
William F. Lucas
10.5 Maxima and Minima Without Calculus
A.J. Lohwater, Ivan Niven
10.6 Exploratory Data Analysis
Ram Gnanadesikan, Paul Tukey, Andrew F. Siegel, Jon R. Kettenring
CHAPTER 11- Mathematics Curriculum 358
11.1 Successes and Failures of Mathematics Curricula in the Past Two Decades
H. Brian Griffiths, Ubiratan D'Ambrosio, Stephen S. Willoughby
11.2 Curriculum Recommendations for the 1980's by Several National Committees
Mohammed EI Tom, W.H. Cockcroft, David F. Robitaille
11.3 Curriculum Changes During the 1980's
Shigeo Katagiri, Alan Osborne, Hans-Christian Reichel
11.4 The Changing Curriculum - An International Perspective
E.E. Oldham
11.5 Models of Curriculum Development 384
Tashio Miyamoto and Ko Gimbayasgu, James M. Moser
11.6 Mathematics for Secondary School Students
Harold C. Trimble
11.7 What Should be Dropped from the Secondary School Mathematics Curriculum to Make Room for New Topics?
Ping-tung Chong, Zolman Usiskin
11.8 Alternative Approaches to the Teaching of Algebra in the Secondary School
Harry S.J. Instone
11.9 How Can You Use History of Mathematics in Teaching Mathematics in Primary and Secondary Schools?
Cosey Humphreys, Bruce Meserve, Leo Rogers, Maassouma M. Kazim
CHAPTER 12 - The Begle Memorial Series on Research in Mathematics Education 405
12.1 Critical Variables in Mathematics Education
Richard E. Snow, Herbert J. Walberg, 12.2 Some Critical Variables Revisited
Christine Keitel-Kreidt, Donald J. Dessart, L. Roy Corry, Jens H. Lorenz, Nicholas A. Bronco
12.3 Some New Directions for Research in Mathematics Education
Richard E. Moyer, Edward A. Silver, Robert B. Davis, Gunnar Gjone, John P. Keeves, Thomas Cooney
CHAPTER 13 - Research in Mathematics Education 444
13.1 The Relevance of Philosophy and History of Science and Mathematics for Mathematical Education
Niels Jahnke, Rolando Chauqui, Giles Lachaud, David Pimm
13.2 Research in Mathematical Problem Solving 452
Gerald A. Goldin, Alan H. Schoenfeld
13.3 Researchable Questions Asked by Teachers 456
Elaine Bologna, Sadaaki Fujimori, Douglas E. Scott, Richard J. Shumway
13.4 Alternative Methodologies for Research in Mathematics Education
George Booker, Jack Easley, Francois Pluvinage, R.W. Scholz, Leslie P. Steffe, Joan Yates
13.5 Error Analyses of Childrens' Arithmetic Performance
Annie Bessot, Leroy C. Callahan, Roy Hollands, Fredricka Reisman
13.6 Comparative Study of the Development of Mathematical Education as a Professional Discipline in Different Countries 482
Gert Schubring, Mahdi Abdeljaauad, Phillip S. Jones, Janine Rogalski, Gert Shubring, Derek Woodrow, Vaclaw Zawadowski
13.7 The Development of Mathematical Abilities in Children
Jeremy Kilpatrick, Horacio Rimoldi, Raymond Sumner, Ruth Rees
13.8 The Child's Concept of Number
Karen Fuson, Shuntaro Sato, Claude Comiti, Tom Kieren, Gerhard Steiner
13.9 Relation Between Research on Mathematics Education and Research on Science Education. Problems ofCommon Interest and Future Cooperation 511
Charles Taylor, Anthony P. French, Robert Karplus, Gerard Vergnaud
13.10 Central Research Institutes for Mathematical Education. What Can They Contribute to the Development of the Discipline and the Interrelation between Theory and Practice?
Edward Esty, Georges Glaeser, Heini Halberstam, Yoshihiko Hoshimoto, Thomas Romberg, Christine Keitel, B. Winkelman
13.11 The Functioning of Intelligence and the Understanding of Mathematics 530
Richard Lesh, Richard Skemp, Laurie Buxton, Nicholas Herscovics
13.12 The Young Adolescent's Understanding of Mathematics
Stanley Bezuska, Kath Hart
CHAPTER 14 - Assessment 546
14.1 Assessing Pupils' Performance in Mathematics 546
Norbert Knoche, Robert Lindsay, Ann McAloon
14.2 Issues, Methods and Results of National Mathematics Assessments
Bob Roberts
CHAPTER 15 - Competitions 557
15.1 Mathematical Competitions, Contests, Olympiads
Jan van de Croats, Neville Gale, Jose Ipina, Lucien Kieffer, Murray Klamkin, Peter J. O'Halloran, Peter R. Sanders, Janos Suranyi
15.2 Mathematics Competitions: Philosophy, Organization and Content
Albert Kalfus
CHAPTER 16 - Language and Mathematics 568
16.1 Language and the Teaching of Mathematics
A. Geoffrey Howson
16.2 The Relationship Between the Development of Language in Children and the Development of Mathematical Concepts in Children 573
F .D. Lowenthal, Michele Pellerey, Colette Laborde, Tsutomu Hosoi
16.3 Teaching Mathematics in a Second Language
Maurizio Gnere, Althea Young
CHAPTER 17 - Objectives 587
17.1 Teaching for Combined Process and Content Objectives
Alan W. Bell, A.J. Dawson, P.G. Human
17.2 The Complementary Role of Intuitive and Analytical Reasoning
Erich Wittmann, Efraim Fischbein, Leon A. Henkin
CHAPTER 18 - Technology 605
18.1 The Effect of the Use of Calculators on the Initial Development and Acquisition of Mathematical Concepts and Skills 605
Hartwig Meissner
18.2 A Mini-Course on Symbolic and Algebraic Computer Programming Systems
Richard J. Fateman
18.3 The Use of Programmable Calculators in the Teaching of Mathematics
Klaus-D. Graf, Guy Noel, K.A. Keil, H. Lothe
18.4 Perspectives and Experiences with Computer-Assisted Instruction in Mathematics
D. Alderman, R. Gunzehauser
18.5 Computer Literacy / Awareness in Schools; What, How and for Whom? 627
David C. Johnson, Claudette Vieules, Andrew Molnar
18.6 The Technological Revolution and Its Impact on Mathematics Education 632
Andrea DiSessa
18.7 Calculators in the Pre-Secondary School, Marilyn Suydam, A. Wynands
CHAPTER 19 - Forms and Modes of Instruction 641
19.1 Distance Education for School-age Children 641
David Roseveare
19.2 Teaching Mathematics in Mixed-Ability Groups 643
Denis C. Kennedy, David Lingard
19.3 Approaching Mathematics through the Arts 648
Emma Castel nuovo, Paul Delannoy, James R.C. Leitzel
19.4 The Use and Effectiveness of Mathematics Instructional Games
Margariete Montague Wheeler
19.5 Strategies for Improving Remediation Efforts
Ronald Davis, Deborah Hughes Hallett, Gerald Kulm, Joan R. Leitzel
19.6 Individualized Instruction and Programmed Instruction
F. Alvarada
CHAPTER 20 - Women and Mathematics 665
20.1 A Community Action Model to Increase the Participation of Girls and Young Women in Mathematics
Elizabeth Stage, Kay Gilliland. Nancy Kreinberg, Elizabeth Fennerna
20.2 Contributions by Women to Mathematics Education
Kristina Leeb-Lundberg
20.3 The Status of Women and Girls in Mathematics: Progress and Problems 674
Marjorie C. Carss, Eileen L Poiani, Nancy Shelley, Dora Helen Skypek
20.4 Special Problems of Women in Mathematics
Erika Schildkamp-Kundiger
CHAPTER 21 - Special Groups of Students 688
21.1 Curriculum Organizations and Teaching Modes That Successfully Provide for the Gifted Learner
A.L. Blakers, Isabelle P. Rucker, Burt A. Kaufman, Gerald Rising, Dorothy S. Strong, Arnold E. Ross, Graham T.Q. Hoare
21.2 Distance Education for Adults
Michael Crampin
21.3 Adult Numeracy - Programmes for Adults Not in School
Anna Jackson, Peter Kaner
21.4 Problems of Defining the Mathematics Curriculum in Rural Communities
Desmond Broomes, P.K. Kuperus
21.5 Participation of the Handicapped in Mathematics
Robert Dieschbourg, Carole Greenes, Esther Pillar Grossi
