La lettre de la Preuve

 

ISSN 1292-8763

Eté 2007

Un ESPACE NOUVEAUest à disposition dans la bibliographie pour recueillir les dernières THESES sur la preuve.
A NEW SPACE is available on the bibliography to gather the last PHD THESIS about proof.
Un NUEVO ESPACIO esta listo en la bibliografia para recoger las ultimas TESIS sobre la prevua.
2007
Stylianides, G.J., Stylianides, A.J., & Philippou, G.N. (2007). Preservice teachers’ knowledge of proof by mathematical induction. Journal of Mathematics Teacher Education, 10(3), 145-166.
Inglis M., Mejia-Ramos, J. P., Simpson, A. (2007) Modelling mathematical argumentation: the importance of qualification Educational Studies in Mathematics (for now paper on line)
Pedemonte B. (2007) How can the relationship between argumentation and proof be analysed? Educational Studies in Mathematics (for now paper on line)
Otte, M. (2007) Mathematical history, philosophy and education Educational Studies in Mathematics (for now paper on line)
Barbin, E. (2007) On the arguments of simplicity in Elements and schoolbooks of geometry Educational Studies in Mathematics (for now paper on line)
Lannin, J., Barker, D., Townsend B. (2007) How students view the general nature of their errors Educational Studies in Mathematics (for now paper on line)

Thematic working group 4:
Argumentation and proof

CERME 5

Maria Alessandra Mariotti - Univeristà di Siena
Kirsti Hemmi - Stockholm University
Viviane Durand-Guerrier - Université de Lyon

The contributions collected in this section differently address the issue of proof and argumentation, offering a quite varied spectrum of perspectives, from both the point of view of theoretical frameworks assumed and that of issues in focus.
The richness of contributions' diversity gave the participants the opportunity of a fruitful discussion far beyond the need of sharing a common terminology, while the reflection, carried out at the beginning of our working activity highlighted the problematic relationship between argumentation and mathematical proof from the diversity of our theoretical and cultural backgrounds.

To know more ...

Papers presented to the Working Group 4: Argumentation and proof
Antonini S. & Mariotti M.A. Indirect proof: an interpreting model
Ayalon M. & Even R. Mathematics learning and the development of general deductive reasoning
Buchbinder O. & Zaslavsky O. How to decide? Students' ways of determining the validity of mathematical statements
Camargo L., Samper C., Perry P.Cabri's role in the task of proving within the activity of building part of an axiomatic system
Castagnola E. & Tortora R. Some remarks on the theorem about the infinity of the prime numbers
Cusi A. & Malara N. Proofs problems in elementary number theory: analysis of trainee teachers' productions
Deloustal-Jorrand V. Relationship between beginner teachers in mathematics and the mathematical concept of implication
Ding L. & Jones K. Using the Van Hiele theory to analyse the teaching of geometrical proof at grade 8 in Shanghai
Fiallo J. & Gutiérrez A. Analysis of conjectures and proofs produced when learning trigonometry
Gibel P. Analysis of the teacher's arguments used in the didactical management of a problem solving situation
Pedemonte B. Structural relationships between argumentation and proof in solving open problems in algebra
Sergis A. Mathematical proof: teachers' beliefs and practices
Stylianides A. & Stylianides G. The mental models theory of deductive reasoning: implications for proof instructions
Timmermann S. Reviewing textbooks proofs in class: a struggle between proof structure, components and details

Contributions concernant la preuve

14ème Ecole d'été de Didactique des Mathématiques
17 août  - 24 août 2007
Ste Livrad

Dans le thème I: Étude d’une question vive : expériences spatiales, représentations et signes graphiques et figuraux, géométrie il y a un cours et deux ateliers qui concernent la preuve et l'argumentation.

Cours: T. Dias. L'apprentissage de la géométrie dans la scolarité obligatoire : une dialectique entre objets sensibles et objets théoriques.

Atelier animé par V. Durand Guerrier & T. Dias: Dialectique entre objets sensibles et objets théoriques. Etude de cas en géométrie des solides

Atelier animé par A. C. Mathé & T. Barrier. Jeux et enjeux de langage dans la construction d’un vocabulaire de géométrie spécifique et partagé en cycle 3

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Laboratoire Leibniz
IMAG (CNRS, UJF, INPG)

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La lettre de la Preuve

 

ISSN 1292-8763