| 2008 in press
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Weiss, M., Herbst, P.,
Chen, C. (in press) Teachers perspectives on authentic
mathematics and the two-column proof form Educational Studies
in Mathematics |
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Furinghetti, F., Morselli,
F. (in press) Every unsuccessful problem solver is unsuccessful
in his or her own way: affective and cognitive factors in proving Educational
Studies in Mathematics |
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Cross, D.
(in press) Creating optimal mathematicslearning environments: combining
argumentation and writing to enhance achievement International Journal
of Science and Mathematics Education |
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Leung I. K. C. (in press)
Teaching and learning of inclusive and transitive properties among quadrilaterals
by deductive reasoning with the aid of SmartBoard ZDM-The International
Journal on Mathematics Education |
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Harel, G. (in press) A DNR
perspective on mathematics curriculum and instruction. Part II: with reference
to teachers knowledge base ZDM-The International Journal on Mathematics
Education |
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Hatzikiriakou K. & Metallidou
P. (in press) Teaching Deductive Reasoning to Pre-service Teachers:
Promises and Constraints International Journal of Science and Mathematics
Education |
| 2008 |
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Ayalon, M. and Even, R. (2008)
Deductive reasoning: in the eye of the beholder Educational Studies
in Mathematics 69/3, 235-247 |
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Alcock, L., Inglis, M. (2008)
Doctoral students use of examples in evaluating and proving conjectures
Educational Studies in Mathematics 69/2, 111-129 |
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Oehrtman, M., Lawson, A., E.(2008)
Connecting Science and Mathematics: The Nature of Proof and Disproof in
Science and Mathematics International Journal of Science and Mathematics
Education 6/2, 377-403 |
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De Villiers, M., Garner, M. (2008)
Problem solving and proving via generalisation Learning and Teaching
Mathematics, 5, 19-25 |
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Stylianides Gabriel J. (2008)
Investigating the Guidance Offered to Teachers in Curriculum Materials:
The Case of Proof in Mathematics International Journal of Science
and Mathematics Education 6/1, 191-215 |
| 2007 |
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Véronique Battie
(2007) Exploitation dun outil épistémologique pour
lanalyse de raisonnements délèves confrontés
à la résolution de problèmes en arithmétique
Recherche en didactique des Mathématiques 27/1 |
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WG 2: Argumentation and proof
CERME 6
Lyon
27 January - 1 February 2009
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The
Working sessions of Group 2 offer a stimulating forum for researchers
interested in the field of argumentation and proof (argumentation and
proof, including epistemological and historical issues, learning issues
and classroom situations).
Papers
had to be submitted electronically until the 15th September
2008 to the chair and to the CERME organisation.
Deadline:
November, 20 Resolutions to
papers, posters and financial support sent.
November, 25 Reduced fee registration deadline
To know more ...

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Notices of the American Mathematical Society
A Special Issue on Formal Proof
December 2008,
Volume 55, Issue 11
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Séminaire d'épistémologie des mathématiques:
L'implication, une notion complexe et polysémique.
Aspects épistémologique et didactique
Viviane Durand-Guerrier
12 novembre à 14 heures
IREM de l'Université Paris 7
Institut Henri Poincaré, salle 201.
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Notices
is the world's most widely read magazine aimed at professional mathematicians.
A special issue is devoted to formal proof:
Using computers in proofs both extends mathematics with new results
and creates new mathematical questions about the nature and technique
of such
proofs. This special issue features a collection of articles by practitioners
and theorists of such formal proofs which explore both aspects.
- Formal Proof (Thomas C. Hales)
- Formal ProofThe Four-Color Theorem
(Georges Gonthier)
- Formal ProofTheory and Practice
(John Harrison)
- Formal ProofGetting Started
(Freek Wiedijk)
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L'implication, qui est au coeur du raisonnement
mathématique, est source, chez les élèves et les
étudiants, d'importantes difficultés repérées
par de nombreux auteurs. Une étude épistémologique
de cette notion permet de mettre en évidence à la fois la
complexité de la notion et la polysémie du terme lui-même,
entre relations entre propositions, relation entre propriétés,
implication universellement quantifiée, implication logiquement
valide ou règle d'inférence. L'autheur donnerait quelques
jalons permettant d'en suivre l'émergence depuis l'Antiquité
grecque jusqu'au milieu du XXème siècle, puis elle montrerait
sur quelques exemples comment cet éclairage épistémologique
permet d'ouvrir des pistes pour mieux comprendre, interpréter et/ou
traiter les difficultés rencontrées par les élèves
et les étudiants. |
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Soutenance de thèse:
Etude épistémologique et didactique
de la preuve en mathématiques et de son enseignement. Une ingénierie
de formation
Michèle GANDIT
Grenoble, 28 octobre 2008
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PhD thesis
Approaching Proof in a Community of Mathematical Practice.
Kirsti HEMMI
Stockholm University, Department of Mathematics, Sweden.
Published in 2008 by VDM verlag.
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Létude réalisée met en évidence un
décalage important entre la preuve en mathématiques et
la preuve telle qu'elle vit en classe, notamment au collège :
actuellement la transposition didactique dénature son sens, réduisant
lapprentissage de la preuve à celui de savoir faire des
exercices décriture formelle. Un changement savère
ainsi nécessaire dans les pratiques des enseignants, pour que
la preuve soit abordée en classe, de manière plus satisfaisante
sur les plans épistémologique et didactique.
Pour
en savoir plus ...

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This thesis aims to describe how students encounter proof in a community
of mathematical practice at a mathematics department and how they are
drawn to share mathematicians'views and knowledge of proof. Considering
the department as a community of practice where the joint enterprise
is learning mathematics in a broad sense made it possible to perceive
the newcomers as active participants in the practice.The combination
of a socio-cultural perspective, Lave and Wenger's social practice theories
and theories about proof offers a fresh framework in understanding and
describing the diversity of the culture involving such a complex notion
as proof.
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