La lettre de la Preuve

       

ISSN 1292-8763

Eté 2001

 

2001

Balacheff N. (2001) Imparare la prova. (trad. B. Martini, original français : "Apprendre la preuve", 1999). La matematica e la sua didaticca 2, 116-149

Balacheff N., Demongeot C., Gandit M., Garnier R., Hilt D., Houdebine J., Juhel M.-A. (2001) Preuve et démonstration : quelques questions essentielles. IREM de Grenoble et de Rennes.

Berthelot R., Salin M.-H. (2001) L'enseignement de la géométrie au début du collège. Comment concevoir le passage de la géométrie du constat à la géométrie déductive. Petit x 56, 5-34.

Braconne-Michoux A.. (2001) La preuve en mathématiques chez les élèves du secondaire : une comparaison franco-britanique. Mémoire de DEA. Université de Paris 7.

Bruckheimer M., Arcavi A. (2001) A Herrick among mathematicians or dynamic geometry as an aid to proof. International Journal of Computers for Mathematical Learning 6 (1) 113-126.

Delahaye J.-P. (2001) Ce qui est faux peut être utile. Pour la Science 280, 100-105.

Magnani L. (2001) Philosophy and Geometry. Theoretical and Historical Issues.

Py D. (2001) Environnements Interactifs d'Apprentissage et démonstration en géométrie. Habilitation. Université de Rennes 1.

Spagnol J.-P. (2001) Argos, un démonstrateur de théorèmes en géométrie. Sciences et Technologies Educatives 8 (1/2) 113-125.

    

The following references are taken from :
van den Heuvel-Panhuizen M. (ed.) Proceedings of the 25th conference of the international group for the Psychology of Mathematics Education Utrecht, July 2001 [ISBN 90-74684-16-5]

Yackel E. (2001) Explanation, justification and argumentation in mathematics classrooms (Vol.1, pp.1-9)

Antonini S. (2001) Negation in mathematics: obstacles emerging from an exploratory study (Vol.2, pp.49-56)

Baturo A. R. (2001) Conflict between perception, cognition and validation as year 12 and university students analyse the probability of an event (Vol.2, pp.113-120)

Knipping C. (2001) Towards a comparative analysis of proof teaching (Vol.3, pp.249-256)

Küchemann D., Hoyles C. (2001) Investigating factors that influence students' mathematical reasoning (Vol.3, pp. 257-264)

Mariotti M.A., Cerulli M. (2001) Semiotic mediation for algebra teaching and learning (Vol. 3, pp. 343-349)

Mogetta C. (2001) Argumentative processes in problem solving situations: the mediation of tools (Vol.3, pp. 375-282)

Olilvero F., Robutti O. (2001) measure in Cabri as bridge between perception and theor (Vol. 4, pp. 9-16)

Pandiscio E.A. (2001) Exploring the link between preservice teachers' conception of proof and the use of dynamic geometry software (Vol. 1, p. 353).

Pedemonte B. (2001) Some cognitive aspects of the relationship between argumentation and proof in mathematics (Vol.4, pp.33-40)

Reiss K., Klieme E., Heinze A. (2001) Prerequisites for the understanding of proofs in the geometry classroom (Vol.4, pp. 97-104)

Robotti E. (2001) Verbalization as mediator between figural and theoretical aspects (Vol.4, pp. 105-112)

Rogalski J., Rogalski M. (2001) How do graduate mathematics students evaluate assertions with a false premise? (Vol.4, pp. 113-120)

Sierpinska A., Nnadozie A. (2001) Methodological problems in analyzing data from a small scale study on theoretical thinking in high achieving linear algebra students (Vol. 4, pp. 177-184)

Solange de Silva M. (2001) Argumentation reasoning and mathematics proof (Vol. 1, p. 368).

Vincent J., McCrae B. (2001) Mechanical linkages and the need for proof in secondary school geometry (Vol.4, pp. 367-374)

Williams J., Ryan J. (2001) Charting argumentation space in conceptual locales (Vol.4, pp. 423-430)

Wong K. (2001) Why and how to prove: the Pythagoras' theorem in two classrooms (Vol. 1, p. 380).


2000

Jones K. (2000) The students experience of mathematical proof at university level. International Journal of Mathematical Education in Science and Technology 31(1) 53-60.

   

Archive

Carpentier F.-G. (1998) Modélisation des connaissances et la démonstration pour l'EIAO de la géométrie. Thèse. Université de Rennes 1.

Maher C., Martino A. M. (1996) Young children invent method of proof: the gang of four. In: Steffe L. P., Nesher P. (eds.) Theories of learning (pp. 431-447) Mahwah, New Jersey: Lawrence Erlbaum Associates, Publishers

Maher C. (1998) Can teachers help children make convincing arguments? A glipms into the process. Séries Relexões em Educação Matemática. Universidade Santa Úrsula. Brasil.

Maher C. (1998) Professores podem ajudar seus alunos a construir argumentos convicentes? um breve exame deste processo. Séries Relexões em Educação Matemática. Universidade Santa Úrsula. Brasil.

Martino A. M., Maher C. (1999) Teacher questioning to promote justification and generalization in mathematics: what research practice has taught us. Journal of mathematical behavior 18 (1) 53-78.

  
Web Archives

Philosophia Mathematica
 

  
Xixim

Revista Electrónica de Didáctica de las Matemáticas
  

 The aim of Philosophia Mathematica publishes peer- reviewed new work in philosophy of mathematics, including what can be learned from the study of mathematics, whether under instruction or by research, and including the application of mathematics, including computation.
  Founded in 1964 by J. Fang, editor of Series I and II, Philosophia Mathematica 's Series III is edited by Robert Thomas. It has been published since 1993 for the Canadian Society for History and Philosophy of Mathematics / Société canadienne d'histoire et de philosophie des mathématiques and distributed by Wilfrid Laurier University Press.

Seen in the year 2000 volume :

Ken Akiba, Indefiniteness of Mathematical Objects
Jody Azzouni, Stipulation, Logic and Ontological Independence
Robert Black, Proving Church's Thesis
Ladislav Kvasz, Changes of Language in the Development of Mathematics
Pierluigi Miraglia, Finite Mathematics and the Justification of the Axiom of Choice
Stewart Shapiro and Alan Weir, "Neo-Logicist" Logic is not epistemically innocent

 La revista Xixim, publicada en línea por el Departamento de  Matemáticas de la Facultad de Ingeniería de la Universidad Autónoma de Querétaro (México), se interesa en publicar textos relacionados con la enseñanza de la Matemática y la investigación en este campo de la didáctica.
  Tiene como objetivos principales:

  • Difundir la investigación que sobre didáctica de las Matemáticas se realiza....
  • Difundir las experiencias didácticas en enseñanza de la Matemática...
  • Promover y apoyar la investigación en didáctica de las Matemáticas a nivel local, principalmente, y a niveles regional y nacional...
  • Proporcionar un espacio expresión a los docentes de Matemáticas y a los investigadores en su didáctica...

El nombre que se le ha otorgado, Xixim, ha sido escogido porque es el nombre de la concha con la que se representaba el cero en la cultura Maya.

Xixim 1 (1)
Gila Hanna, El valor permanente de la demostración
Xixim 1 (3)
María de Lourdes Bravo Estévez, Jorge Luis del Sol Martínez y Eloy Arteaga Valdés, El valor formativo de las demostraciones.
  

"C'est au défaut de logique que je prends conscience de moi"

Web Archives

Theorem of the Month

By the University of Sheffield
Department of Pure Mathematics
  

"La peur de trébucher cramponne notre esprit à la rampe de la logique. Il y a la logique et il y a ce qui échappe à la logique (l'illogisme m'irrite mais l'excès de logique m'exténue). Il y a ceux qui raisonnent et il y a ceux qui laissent les autres avoir raison. (Mon coeur, si ma raison lui donne tort de battre, c'est à lui que je donne raison.) Il a ceux qui se passent de vivre et ceux qui se passent d'avoir raison. C'est au défaut de logique que je prends conscience de moi".

André Gide
Les nouvelles nourritures terrestres

 A monthly discussion and illustration of a well-known  theorem. The latest theorem discussed is Lagrange's four-square theorem.
  The archive of past theorems includes:

- Bezout's Theorem
- Cantor's Diagonal Argument
- Fermat's Last Theorem
- Lagrange's Four-Square Theorem
- The Classification of Finite Simple Groups
- The Four Colour Theorem
- The Prime Number Theorem
- The Tactical Voting Theorem

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IMAG (CNRS, UJF, INPG)
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Editeur : Maria-Alessandra Mariotti
English Editor :
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Advisory Board : Nicolas Balacheff, Paolo Boero, Daniel Chazan, Raymond Duval, Gila Hanna, Guershon Harel, Celia Hoyles, Erica Melis, Michael Otte,
Yasuhiro Sekiguchi, Michael de Villiers

La lettre de la Preuve

       

ISSN 1292-8763