Defining in classroom activities

Educational Studies in Mathematics

Volumn 34, Issue 3, 1997, Pages 219-248

  Mariotti, Maria Alessandra ^a   Fischbein, Efraim ^b  

^a UNIVERSITY OF PISA   (Italy)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008016862     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1023/a:1002985109323     Document Type: Article

References (30)

1. Bartolini Bussi, M.: 1991, Social Interaction and Mathematical Knowledge. Proceedings of 15th PME Conference, Assisi, Italy.
2. Bartolini Bussi, M. and Boni, M.: 1995, Analisi dell'interazione verbale nella discussione matematica: un approccio vygotskiano. L'insegnamento della matematica e delle scienze integratate 18A (3), 221-256.
3. Berthelot, R. and Salin M. H.: 1992, 'L'enseignement de l'espace et de la géométrie dans la scolarité obligatoire', Thèse de Doctorat, Univ. Bordeaux I.
4. Chevallard, Y.: 1985, La transposition didactique, La Pensée Sauvage, Grenoble.
5. Clements, Douglas H. and Battista, Michael T.: 1992, Geometry and spatial reasoning, In D. H. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning, Macmillan, New York, pp. 420-464.
6. de Montaigne, M.: 1588, Essais [Italian translation (1970)]. Saggi, Milano.
7. De Villier, M.: 'The role and function of hierarchical classification of quadrilaterals', For the learning of mathematics 14, 1, 11-17.
8. Enriques, F.: 1920, Lezioni di geometria proiettiva, Bologna.
9. Fischbein, E.: 1963, Conceptele figurale, Ed. Acad. Rep. Pop. Romine.
10. Fischbein, E.: 1993, 'The theory of figural concepts', Educational Studies in Mathematics, 24(2), 139-62.
11. Freudenthal, H.: 1983, Didactical Phenomenology of Mathematical Structures, Reidel, Dordrecht.
12. Freudenthal, H.: 1973, Mathematics as an Educational Task, Reidel, Dordrecht.
13. Laborde, C. (1992) Solving problems in computer based geometry environment: the influence of the feature of the software, Zentralblatt für Didaktik der Mathematik 92 (4), 128-135.
14. Lakatos, I.: 1979, Dimostrazioni e Confutazioni, Milano, (Proofs and refutation, Cambridge University Press, Cambridge, 1976).
15. Leont'ev, A. N.: 1976/1964, Problemi dello sviluppo psichico, Ed. Riuniti and Ed. Mir.
16. Mariotti, M. A.: 1991, Age Variant and Invariant Elements in the Solution of Unfolding Problems, Proceedings of the 15th PME Conference, Assisi, Italy.
17. Mariotti, M. A.: 1992, 'Geometrical reasoning as a dialectic between the figural and the conceptual aspect', Topologie structurale/Structural Topology 18.
18. Mariotti, M. A.: 1993, The Influence of Standard Images in Geometrical Reasoning, Proceedings of the 17th PME Conference, Tsukuba, Japan.
19. Mariotti, M. A.: 1996, Interaction Between Images and Concepts in Geometrical Reasoning, Doctoral dissertation, Tel Aviv University, Pre-Print Dipartimento di Matematica di Pisa, no. 5.21.939.
20. Poincaré, H.: 1968/1902, La science et l'hypothèse, Flammarion, Paris.
21. Poincaré, H.: 1909, Science et méthode, Flammarion, Paris.
22. Pontecorvo, C.: 1989, 'Social context, semiotic mediation and forms of discourse in constructing knowledge at school', In Mandl et al. Learning and Instruction Vol. 2(1), Pergamon Press.
23. Potari, D. and Spilotopoulou, V.: 1992, 'Children's representation of the development of solids', For the Learning of Mathematics 12 (1), 38-46.
24. Reid, C.: 1970, Hilbert, Springer, Heidelberg.
25. Rogers, R.: 1978, Logica matematica e teorie formalizzate, Milano (Mathematical logic and formalised theories, North-Holland Publ. Co., 1971).
26. Vinner, S.: 1976, 'The naive conception of definition in mathematics', Educational Studies in Mathematics 7, 413-29.
27. Vygotsky L. S.: 1962/1934, Thought and language, MIT Press, Cambridge.
28. Vygotsky L. S.: 1978, Mind in society: The Development of Higher Psychological Processes. Harvard University Press.
29. Waterhouse, W. C.: 1972-1973, 'The discovery of regular solids', Arch, for the History of Exact Science 9.
30. Wertsch, J. V., and Stone, A. C.: 1985, 'The concept of internalisation in Vygotsky's account of the genesis of higher mental functions', in J. V. Wertsch Culture, Communication, and Cognition: Vygotskian perspectives Cambridge University Press, Cambridge.