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) 

Mathematics in Western Culture

Morris Kline

Oxford University Press | 1964 | 512 páginas |

online : archive.org

This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.

Table of Contents
I Introduction. True and False Conceptions, 3
II The Rule of Thumb in Mathematics, 13
III The Birth of the Mathematical Spirit, 24
IV The Elements oi Euclid, 40
V Placing a Yardstick to the Stars, 60
VI Nature Acquires Reason, 74
VII Interlude, 89
VIII Renewal of the Mathematical Spirit, 99
IX The Harmony of the World, no
X Painting arid Perspective, 126
XI Science Born of Art: Projective Geometry, 144
XII A Discourse on Method, 159
XIII The Quantitative Approach to Nature, 182
XIV The Deduction of Universal Laws, 196
XV Grasping the Fleeting Instant: The Calculus, 214
XVI The Newtonian Influence: Science and Philosophy, 234
XVII The Newtonian Influence: Religion, 257
XVIII The Newtonian Influence: Literature and Aesthetics, 272
XIX The Sine of G Major, 287
XX Mastery of the Ether Waves, 304
XXI The Science of Human Nature, 322
XXII The Mathematical Theory of Ignorance: The Statistical Approach
to the Study of Man, 340
XXIII Prediction and Probability, 359
XXIV Our Disorderly Universe: The Statistical View of Nature, 376
XXV The Paradoxes of the Infinite, 395
XXVI New Geometries, New Worlds, 410
XXVII The Theory of Relativity, 432
XXVIII Mathematics: Method and Art, 453