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Al lector ...
La parte principal de esta bibliografía es
constituida por artículos publicados en revistas,
libros y capítulos de libros accesibles por las redes
de distribución ordinarias, igualmente las tesis. Yo
cuento con las remarcas y sugestiones de los utilizadores
para el mejoramiento de este útil.
To the Reader ...
This bibliography consists to a large part of articles
published in journals, of books, and of chapters of books,
all accessible from normal sources, as well as of theses. I
am counting on remarks and suggestions from users to improve
this tool.
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Arsac G., Mantes M. (1997) Situations d'initiation au raisonnement déductif. Educational Studies in Mathematics 33, 21-43.
Hoyles C. (1997) The curricular shaping of students' approaches to proof. For the Learning of Mathematics 17(1) 7-16.
Shimizu Y. (1997) A mode of thought in J. W. A. Young's theory of the disciplinary value of the study of mathematics: as succeeded by H. P. Fawcett in "The nature of proof". Tsukuba Journal Of Educational Studies in Mathematics 16, 39-48 (en japonais).
Investigate the prototype for the first completely electronic mathematics journal. Supported by a the National Science Foundation, published by the MAA. Now is the time to get involved - let know what you think! Send your ideas, comments, and suggestions to or Davide Cervone. |
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Accès à une version de démonstration et et des compte-rendus d'expérimentation sont disponibles sur le ... |
Lu à propos de l'Affaire Sokal "A chaque étape de ce simple exercice -- discuter, interpréter et traduire des traces en énoncés observationnels puis en énoncés théoriques, les rendre compatibles avec des énoncés ou des traces préexistantes --, fait peser sur les "travailleurs de la preuve " (Bachelard) des exigences et des contraintes qui leurs sont extérieures mais qui ne déterminent pas les traductions suivantes" "Au dualisme entre nature et société qui conduit à des questions grossières et sans réponse, les sciences studies ont substitué un objet intermédiaire infiniment plus riche : la dynamique des chaînes de traduction qui permet à des énoncés de circuler et en circulant de gagner en généralité" "Si les textes scientifiques ont une force de conviction c'est au moins pour deux raisons qui définissent leur originalité et qui font qu'un article de nature ne peut en aucun cas être comparé avec une nouvelle d'Edgard Poe. [...] La première est que la force d'un texte scientifique lui est en partie donnée par les autres textes et par conséquent par les autre énoncés sur lesquels il s'appuie ou qu'il transforme. [...] La seconde caractéristique d'un texte scientifique est qu'il exhibe l'ensemble des traductions et des équivalences qui ont permis la construction des énoncés" Extraits de
Michel Callon (1997) Texte complet sur le Web : http://www.larecherche.fr |
The Proceedings of the Topic Group on Proof at the 8th International Congress on Mathematical Education (ICME 8), Seville, Spain in July 1996 has now been published through the Association for Mathematics Education of South Africa (AMESA). The organizers of the topic group were Michael de Villiers, South Africa and Fulvia Furinghetti, Italy. The following authors contributed to the Proceedings: Gila Hanna, Erich Wittmann, Michael de Villiers, Nitsa Movshovitz-Hadar, Bram van Asch, Ken Retzer, Dennis Almeida, Fulvia Furinghetti & Domingo Paola, John Pegg, M Ibanes & Tomas Ortega, Olga Leon & Dora Calderon, David Reid, Victor Katz, Ana-Rosa Scarafiotti & Francesca Alloatti, Ana Mesquita, Carolyn Maher, Lesley Jones, Yasuhiro Sekiguchi, Antonio Garnica and Zsofia Ruttkay. The papers were grouped into five broad areas, namely:
Post graduate students, lecturers and teachers in mathematics and mathematics education at all levels would find this an extremely useful resource of current research and thinking on proof. The 300 pp Proceedings is available at $19 (USD) which includes postage (surface mail only) and can be ordered from: c/o Prof Michael de Villiers Mathematics Education University of Durban-Westville 4000 Durban South Africa
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Cinderella's Cafe is a JAVA software written by
Juergen Richter-Gebert and
Ulrich
Kortenkamp. The site is in german language, but the user interface should be easy to understand and all messages of the program are in english... |
Sheffield Hallam University. Proof by confirmation "works" like this .... You begin your working out with whatever it is that you are trying to prove..... apply some logic to it and reach a conclusion. If the conclusion is true, the novice assumes that the original statement is true. An example... Another example Hence I've used a proof by contradiction to prove that "proof by confirmation" is not a proof at all. There is a curious implication of the failure of proof by confirmation; it is that it is impossible to prove that proof works, since any such proof would have to be rely upon the initial assumption that proof does work, i.e. be a proof by confirmation, which as we have seen, is no proof at all. d.n.smith@shu.ac.uk or to The Proof Web Newsletter |
Gila Hanna's plenary lecture at the last PME meeting, in Valencia, raised some important issues. There is considerable interest currently in research on teaching and learning proof in mathematics and the choice of this as a research forum theme will enable the community to learn more about the major on-going programs.
Coordinator : Gila Hanna from the Ontario Institute for Studies in Education, Toronto, e-mail: ghanna@oise.utoronto.ca
NCTM 1999 Yearbook on
Mathematical reasoning. |
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