2007 |
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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. |
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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) |
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Pedemonte B. (2007) How can the relationship between argumentation and proof be analysed? Educational Studies in Mathematics (for now paper on line) |
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Otte, M. (2007) Mathematical history, philosophy and education Educational Studies in Mathematics (for now paper on line) |
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Barbin, E. (2007) On the arguments of simplicity in Elements and schoolbooks of geometry Educational Studies in Mathematics (for now paper on line) |
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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 ...
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Papers presented to the Working Group 4: Argumentation and proof |
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Antonini S. & Mariotti M.A. Indirect proof: an interpreting model |
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Ayalon M. & Even R. Mathematics learning and the development of general deductive reasoning |
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Buchbinder O. & Zaslavsky O. How to decide? Students' ways of determining the validity of mathematical statements |
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Camargo L., Samper C., Perry P.Cabri's role in the task of proving within the activity of building part of an axiomatic system |
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Castagnola E. & Tortora R. Some remarks on the theorem about the infinity of the prime numbers |
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Cusi A. & Malara N. Proofs problems in elementary number theory: analysis of trainee teachers' productions |
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Deloustal-Jorrand V. Relationship between beginner teachers in mathematics and the mathematical concept of implication |
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Ding L. & Jones K. Using the Van Hiele theory to analyse the teaching of geometrical proof at grade 8 in Shanghai |
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Fiallo J. & Gutiérrez A. Analysis of conjectures and proofs produced when learning trigonometry |
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Gibel P. Analysis of the teacher's arguments used in the didactical management of a problem solving situation |
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Pedemonte B. Structural relationships between argumentation and proof in solving open problems in algebra |
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Sergis A. Mathematical proof: teachers' beliefs and practices |
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Stylianides A. & Stylianides G. The mental models theory of deductive reasoning: implications for proof instructions |
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Timmermann S. Reviewing textbooks proofs in class: a struggle between proof structure, components and details |