A history of astronomy

Walter William Bryant

London Methuen 1907

online: archive.org

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A History of Astronomy, first published in 1907, offers a comprehensive introduction to the steady development of the science since its inception in the ancient world up to the momentous progress of the nineteenth century. It includes biographical material relating to the most famous names in the study of astronomy – Copernicus, Galileo, Newton, Herschel – and their contributions, clear and accessible discussions of key discoveries, as well as detailing the incremental steps in technology with which many of the turning points in astronomy were intimately bound up.

CONTENTS
CHAP. PAGE
I. EARLY NOTIONS
II. THE EASTERN NATIONS OF ANTIQUITY 8
III. THE GREEKS 14
IV. THE ARABS 25
V. THE REVIVAL-COPERNICUS-TYCHO BRAHE 28
VI. KEPLER-GALl LEO 39
'VII. NEWTON 47
VIII. NEWTON'S SUCCESSORS: LAPLACE 53
IX. FLAMSTEED-HALLEy-BRADLEy-HERSCHEL 63
X. THE EARLY NINETEENTH CENTURy-NEPTUNE 73
XI. HERSCHEL-BESSEL-STRUVE • 83
XII. COMETS • 96
XIII. THE SUN-EcLIPSES-PARALLAX 103
XIV. GENERAL ASTRONOMY AND CELESTIAL MECHANICS 118
XV. OBSERVATORIES AND INSTRUMENTS • 132
XVI. ADJUSTMENT OF OBSERVATIONS. PERSONAL ERRORS 141
XVII. THE SUN 146
XVIII. SOLAR SPECTROSCOPY 159
XIX. SOLAR ECLIPSES-SPECTROSCOPY 169
XX. THE MOON 183
XXI. THE EARTH 192
XXII. THE INTERIOR PLANETS 201
XXIII. MARS 209
XXIV. MINOR PLANETS 219
XXV. THE MAJOR PLANETS 226
XXVI. THE SOLAR SYSTEM • 24I
XXVII. COMETS, METEORS, ZODIACAL LIGHT 247
XXVIII. THE STARS-CATALOGUES-PROPER MOTION-PARALLAX-MAGNITUDE 27I
XXIX. DOUBLE STARS 292
XXX. VARIABLE STARS 303
XXXI. CLUSTERS-NEBULIE-MILKY WAY. 318
XXXII. STELLAR SPECTROSCOPY 327
XXXIII. CONCLUSION • 340

Selected lectures from the Seventh International Congress on Mathematical Education

ICME-7    1992      Québec (Canada) 

David E Robitaille, David H. Wheeler, Carolyn Kieran

Presses de l'Universite Laval | 1994 | 380 páginas | pdf (OCR) | 16,3 Mb

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Contents
Preface p. IX Contribution de l'apprentissage de la géométrie à la formation scientifique - Gérard Audibert p. 1 Diagnostic Teaching - Alan Bell p. 19 Reading, Writing and Mathematics: Rethinking -Raffaella Borasi and Marjorie Siegel p. 35 Teachers Using Videotapes as Reference Points -John L. Clark p. 49 The Transition to Secondary School Mathematics -David Clarke p. 59 Mathematicians and Mathematical Education -Michael P. Closs p. 77 Les mathématiques comme reflet d'une culture -Jean Dhombres p. 89 Imagery and Reasoning in Mathematics and Mathematics Education - Tommy Dreyfus p. 107 Interweaving Numbers, Shapes, Statistics, and the Real World in Primary School and Primary Teacher Education - Andrejs Dunkels p. 123 Teaching Mathematics and Problem Solving to Deaf and Hard-of-Hearing Students - Harvey Goodstein p. 137 The Origin and Evolution of Mathematical Theories- Miguel de Guzmàn p. 147 Le calcul infinitésimal - Bernard R. Hodgson p. 157 Computer-Based Microworlds: a Radical Vision or a Trojan Mouse? - Celia Hoyles p. 171 Different Ways of Knowing: Contrasting Styles of Argument in India and the West - George Gheverghese Joseph p. 183 Mathematics Education in the Global Village : the Wedge and the Filter - Murad Jurdak p. 199 Bonuses of Understanding Mathematical Understanding - Thomas E. Kieren p. 211 Curriculum Change: An American-Dutch Perspective - Jan de Lange p. 229 Training Teachers or Educating Professionals? What are the Issues and How Are They Being Resolved? - Glenda Lappan and Sarah Theule-Lubienski p. 249 What is Discrete Mathematics and How Should We Teach It? - Jacobus H. van Lint p. 263 Intuition and Logic in Mathematics - Michael Otte p. 271 Vers une construction réaliste des nombres rationnels - Nicolas Rouche p. 285 Mathematics is a Language - Fritz Schweiger p. 297 Mathematical Thinking and Reasoning for All Students - Moving from Rhetoric to Reality - Edward A. Silver p. 311 Humanistic and Utilitarian Aspects of Mathematics - Thomas Tymoczko p. 327 From "Mathematics for Some" to "Mathematics for All" - Zalman Usiskin p. 341 On the Appreciation of Theorems by Students and Teachers - Hans-Joachim Vollrath p. 353 Geometry as an Element of Culture - Alexandr D. Alexandrov p. 365 

Proceedings of the Seventh International Congress on Mathematical Education

ICME-7    1992      Québec (Canada)

Claude Gaulin, Bernard R. Hodgson, David H. Wheeler, John C. Egsgard

Les Presses de l'Universite Laval | 1994 | 529 páginas | pdf (OCR) |33,4  Mb

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Contents 

Preface p. XIII 

Codes of countries p. XXI 

Schedule p. XXIV 

PRESIDENTIAL ADDRESS1

Plenary Lectures 

Teachers of Mathematics - Geoffrey Howson p. 9 

Bringing Mathematical Research to Life in the Schools - Maria M. Klawe p. 27 

Enseigner la géométrie: permanences et révolutions - Colette Laborde p. 47 

Fractals, the Computer, and Mathematics Education - Benoit B. Mandelbrot p. 77 

Working Groups 

WG 1: La formation de concepts mathématiques élémentaires au primaire (Helen Mansfield, AUS) p. 101 

WG 2: Students' Misconceptions and Inconsistencies of Thought (Shlomo Vinner, ISR) p. 109 

WG 3: Students' Difficulties in Calculus (Michèle Artigue, FRA) p. 114 

WG 4: Theories of Learning Mathematics (Pearla Nesher, ISR) p. 120 

WG 5: Improving Students' Attitudes and Motivation (Gilah Leder, AUS) p. 128 

WG 6: Preservice and Inservice Teacher Education (John Dossey, USA) p. 134 

WG 7: Language and Communication in the Mathematics Classroom (Heinz Steinbring) 

WG 8: Innovative Assessment of Students in the Mathematics (Jùlianna Szendrei, HUN) 

WG 9: [Not listed] 

WG 10: Multicultural and Multilingual Classrooms (Patrick Scott, USA) p. 154 

WG 11: The Role of Geometry in General Education (Rina Hershkowitz, ISR) p. 160 

WG 12: Probability and Statistics for the Future Citizen (Mary Rouncefield, GBR) p. 168 

WG 13: The Place of Algebra in Secondary and Tertiary Education (Carolyn Kieran, CAN) 

WG 14: Mathematical Modelling in the Classroom (Trygve Breitag, NOR) p. 180 

WG 15: Undergraduate Mathematics for Different Groups of Students (Daniel Alibert, FRA) 

WG 16: The Impact of the Calculator on the Elementary School (Hilary Shuard †, GBR) 

WG 17: Technology in the Service of the Mathematics Curriculum (Klaus-D. Graf, GER)  

WG 18: Methods of Implementing Curriculum Change (Hugh Burkhard, GBR) p. 202 

WG 19: Early School Leavers (Carlos Vasco, COL) p. 205 

WG 20: Mathematics in Distance Learning (Gordon Knight, NZL) p. 211 

WG 21: The Public Image of Mathematics and Mathematicians (Thomas Cooney, USA)

WG 22: Mathematics Education with Reduced Resources (Elfriede Wenzelburger †, MEX)

WG 23: Methodologies in Research in Mathematics Education (Norbert Knoche, GER)

Topic Groups 

TG 1: Mathematical Competitions (Edward J. Barbeau) p. 239 

TG 2: Ethnomathematics and Mathematics Education (Ubiratan D'Ambrosio, BRA) p. 242 

TG 3: Mathematics for Work: Vocational Education (Rudolf Straesser, GER) p. 244 

TG 4: Indigenous Peoples and Mathematics Education (Bill Barton, NZL) p. 247 

TG 5: The Social Context of Mathematics Education (Alan J. Bishop) p. 250 

TG 6: The Theory of Practice and Proof (Gila Hanna, CAN) p. 253 

TG 7: Mathematical Games and Puzzles (Tibor Szentivanyi, HUN) p. 257 

TG 8: Teaching Mathematics through Project Work (Jarkko Leino, FIN) p. 260 

TG 9: Mathematics in the Context of the Total Curriculum (John Mack, AUS) p. 264 

TG 10: Constructivist Interpretations of Teaching and Learning Mathematics (John A. Malone and Peter S. Taylor, AUS) p. 268 

TG 11: Art and Mathematics (Rafael Pérez Gòmez, ESP) p. 272 

TG 12: Graduate Programs and the Formation of Researchers in Mathematics Education (Hans-Georg Steiner, DEU) p. 274 

TG 13: Television in the Mathematics Classroom (David Roseveare, GBR) p. 278 

TG 14: Cooperation between Theory and Practice in Mathematics Education (Falk Seeger, DEU) p. 282 

TG 15: Statistics in the School and College Curriculum (Richard Schaeffer, USA) p. 286 

TG 16: The Philosophy of Mathematics Education (Paul Ernest, GBR) p. 289 

TG 17: La documentation professionnelle des enseignants de mathématiques (Jeanne Bolon, FRA) p. 293 

Study Groups 

HPM: An Historical Perspective on Learning, Teaching and Using Mathematics p. 299 

IOWME: Gender and Mathematics Education p. 304 

PME: Report of Activities p. 310 

ICMI Studies 

S1: The Influence of Computers and Informatics on Mathematics and its Teaching p. 315 

S2: The Popularization of Mathematics p. 319 

S3: Assessment in Mathematics Education and its Effects p. 323 

Miniconference on Calculators and Computers p. 331 

Abstracts of Lectures p. 341-382 

[contains the abstracts of the Selected Lectures of the second volume and the abstracts of the lectures by following authors: Philip J. Davis, Jean-Marc Deshouillers, Joaquin Giménez, Fred Goffree, Ronald L. Graham, Magdalene Lampert, Ronald Lancaster, Fernand Lemay, Charles Lovitt, , Seymour Papert, Nancy Shelley, Uri Treisman, Marion Walter] 

Short Presentations and Round Tables p. 385 

Projects and Workshops p. 389 

Special Exhibitions and Math Trail p. 399 

National Presentations p. 407 

Special Sessions 

Probe p. 413 

Crossfire: Mathematical Competitions - Do the Benefits Outweigh the Disadvantages? p. 417 

Awarding of Honorary Degrees to Jean-Pierre Kahane and Henry Pollak p. 421 

Tribute to H.S.M. Coxeter p. 423 

A Celebration in Memory of Caleb Gattegno p. 425 

Films and Videos p. 429 

Special Meetings p. 433 

Secretary's Closing Remarks - Mogens Niss p. 437 

Committees and Sponsors p. 451 

List of Participants p. 463 

Distribution by Country p. 494 

Proceedings of the Sixth International Congress on Mathematical Education

ICME-6    1988      Budapest (Hungary) 

Ann & Keith Hirst

Janos Bolyai Mathematical Society | 398 páginas 

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The contributions to the Fifth Day Special were published in C. Keitel, A. Bishop, P. Damerow & P. Gerdes (Eds.) Mathematics, Education, and Society. Paris, UNESCO, Science and Technology Education, Document Series, 1989. 

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Contents
Foreword (p. 5) 
Plenary Presentations B. Nebres: School Mathematics in the 1990's: the Challenge of Change especially for Developing Countries (p. 11) G. Vergnaud: Theoretical Frameworks and Empirical Facts in the Psychology of Mathematics Educationn (p. 29) A. Ershov: Computerization of Schools and Mathematical Education (p. 49) L. Lovász: Algorithmic Mathematics: An Old Aspect with a New Emphasis (p. 67) J. - P. Kahane: La Grande Figure de Georges Polya (p. 79) 
Action Groups A1. L. P. Steffe: Early Childhood Years (Ages 4 - 8) (p. 101) A2. A. C. J. Colomb: Elementary School (Ages 7-12) (p. 117) A3. I. Hirabayashi: Junior Secondary School (Ages 11-16) (p. 133) A4. J. Da Lange: Senior Secondary School (Ages 15-19) (p. 143) A5. J. Mack: Tertiary (Post-Secondary) academic institutions (ages 18+) (p. 159) A6. W. Dörfler: Pre-Service Teacher Education (p. 177) A7. R. Strässer: Adult, Technical and Vocational Education (p. 191) 
Theme Groups T1. P. A. House: The Profession of Teaching (p. 205) T2. R. Fraser: Computers and the Teaching of Mathematics (p. 215) T3. M. Niss: Problem Solving, Modelling and Applications (p. 237) T4. D. F. Robitaille: Evaluation and Assessment (p. 253) T5. N. Balacheff: The Practice of Teaching and Research in Didactics (p. 263) T6. W. Blum: Mathematics and Other Subjects (p. 277) T7. H. Burkhardt, J. A. Malone: Curriculum Towards the Year 2000 (p. 293) 
Fifth Day Special: MES A. Bishop, P. Damerow, P. Gerdes, Ch. Keitel: Mathematics, Education, Society (p. 311) 

Topic Areas and International Study Groups 

To1. M. Emmer: Video, Film (p. 329) 
To2. I. Lénárt: Visualization (p. 332) 
To3. G. Berzsenyi: Competitions (p. 334) 
To4. E. Csocsán: Problems of Handicapped Students (p. 339) 
To5. D. A. Quadling: Comparative Education (p. 342) 
To6. K. J. Travers: Probability Theory and Statistics (p. 346) 
To7. D. Pimm: Proofs, Justification and Conviction (p. 350) 
To8. C. Laborde: Language and Mathematics (p. 354) 
To9. [NOT LISTED] 
To10. P. S. Kenderov: Students of High Ability (p. 358) 
To11. D. Singmaster: Mathematical Games and Recreation (p. 361) 
To12. [NOT LISTED] 
To13. L. Burton: Women and Mathematics (p. 365) 
To14. [NOT LISTED] 
To15. H.-G. Steiner: Theory of Mathematics Education (p. 371) 
To16. W. R. Bloom: Spaces and Geometry (p. 375) 
To17. G. König: Information and Documentation (p. 379) 
To18. B. Christiansen, P. F. L. Verstappen: Systematic Cooperation between Theory and Practice in Mathematics Education (p. 382) 
HPM. U. D'Ambrosio: History and Pedagogy of Mathematics (p. 389) 
Projects (p. 393) 
ICMI 
A. G. Howson: The International Commission on Mathematical Instruction (p. 395) 
Projects (p. 393) 
ICMI 
A. G. Howson: The International Commission on Mathematical Instruction (p. 395) 

Proceedings of the Fourth International Congress on Mathematical Education

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

New trends in mathematics teaching, Vol. IV

The International Commission on  Mathematical Instruction (ICMI) 

UNESCO | 1979 |289 páginas | pdf

online: unesdoc.unesco.org

Para outros livros relacionados procure em: link

ICME-3    1976      Karlsruhe (Germany)

The book is based  upon the preparation for and proceedings of the Third International Congress on Mathematical . 

Contents 

Introduction 

Chapter I - Mathematics education at preelementary and  primary levels 

F. Colmez 

Chapter II - Mathematics education at the fast level in post- elementary and secondary schools 

A.Z. Krygowska 

Chapter III - Mathematics education at upper secondary school, college and university transition 

D.A. Quadling 

Chapter IV - Mathematics education at university level

J.H. van Lint 

Chapter V - Adult and continuing education in mathematics 

R.M. Pengelly 

Chapter VI - The education and professional life of mathematics teachers 

Michael Otte 

Chapter VII - A critical analysis of curriculum development in mathematical education 

A.G. Howson 

Chapter VIII - Methods and results of evaluation with respect to mathematics education 

Jeremy Kilpatrick Introduction 

Chapter IX - Overall goals and objectives for mathematical education 

Ubiratan D’Ambrosio 

Chapter X - Research related to the mathematical learning process 

Heinrich Bauersfeld 

Chapter XI  - A critical analysis of the use of educational technology in mathematics teaching 

Ralph T. Heimer

Chapter XII - The interaction between mathematics and other school subjects 

H.O. Pollak 

Chapter XIII - The role of algorithms and computers in teaching mathematics at school 

A. Engel 

Institutional addresses of authors and editors

Proceedings of the First International Congress on Mathematical Education

ICME-1    1969      Lyon (France)

D. Reidel Publishing Company | 1969 | 286 páginas | pdf | 27,4 Mb
online: mathematik.uni-bielefeld.de

djvu - 13,8 Mb
online: mathematik.uni-bielefeld.de

All the papers of the congress are also published in 
Educational Studies in Mathematics (1969-70), Vol. 2, 134-418. 

Contents

H. FREUDENTHAL, Allocution (p. 3) 
B. CHRISTIANSEN, Induction and Deduction in the Learning of Mathematics and in Mathematical Instruction (p. 7) 
W. SERVAIS, Logique et enseignement mathématique (p. 28) 
J. V. ARMITAGE, The Relation between Abstract and 'Concrete' Mathematics at School (p. 48) 
R. GAUTHIER, Essai d'individualisation de l'enseignement (Enfants de dix à quatorze ans)(p. 57) 
G. G. MASLOVA, Le développement des idées et des concepts mathématiques fondamentaux dans l'enseignement des enfants de 7 a 15 ans (p. 69) 
A. ROUMANET, Une classe de mathématique: motivations et méthodes (p. 80) 
E. G. BEGLE, The Role of Research in the Improvement of Mathematics Education (p. 100) 
A. DELESSERT, De quelques problèmes touchant à la formation des maîtres de mathématiques (p. 113) 
A. ENGEL, The Relevance of Modern Fields of Applied Mathematics for Mathematical Education (p. 125) 
A. REVUZ, Les premiers pas en analyse (p. 138) 
A. MARKOUCHEVITCH, Certains problèmes de l'enseignement des mathématiques à l'école (p. 147) 
E. FISHBEIN, Enseignement mathématique et développement intellectuel (p. 158) 
E. CASTELNUOVO, Différentes représentations utilisant la notion de barycentre (p. 175) 
F. PAPY, Minicomputer (p. 201) 
B. THWAITES, The Role of the Computer in School Mathematics (p. 214) 
Z. KRYGOWSKA, Le texte mathématique dans l' enseignement (p. 228) 
H.-G. STEINER, Magnitudes and Rational Numbers - A Didactical Analysis (p. 239) 
H. O. POLLAK, How Can we Teach Applications of Mathematics? (p. 261) 
P. C. ROSENBLOOM, Vectors and Symmetry (p. 273) Resolutions (English) (p. 284) Résolutions (French) (p. 285)