메뉴 건너뛰기




Volumn 36, Issue 5, 2004, Pages 129-139

Interactions with diagrams and the making of reasoned conjectures in geometry

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33645063686     PISSN: 18639690     EISSN: 18639704     Source Type: Journal    
DOI: 10.1007/BF02655665     Document Type: Article
Times cited : (40)

References (34)
  • 1
    • 0001979136 scopus 로고    scopus 로고
    • A model for analysing the transition to formal proofs in geometry
    • A. Olivier & K. Newstead (Eds.), Stellenbosch, South Africa
    • Arzarello, F., Micheletti, C., Olivero, F., Robutti, O., and Paola, D. (1998): A model for analysing the transition to formal proofs in geometry. - In: A. Olivier & K. Newstead (Eds.), Proceedings PME 22 (v. 2). Stellenbosch, South Africa, pp. 24-31.
    • (1998) Proceedings PME 22 , vol.2 , pp. 24-31
    • Arzarello, F.1    Micheletti, C.2    Olivero, F.3    Robutti, O.4    Paola, D.5
  • 3
    • 0010423762 scopus 로고    scopus 로고
    • Contract and custom: Two registers of didactical interactions
    • Balacheff, N. (1999): Contract and custom: Two registers of didactical interactions. - In: The Mathematics Educator, 9, 23-29.
    • (1999) The Mathematics Educator , vol.9 , pp. 23-29
    • Balacheff, N.1
  • 5
    • 52649177127 scopus 로고
    • (Revised and abridged by W. Byerly). Cambridge, MA: Lippincott. (Original revision published in 1887)
    • Chauvenet, W. (1898): Treatise on elementary geometry (Revised and abridged by W. Byerly). Cambridge, MA: Lippincott. (Original revision published in 1887)
    • (1898) Treatise On Elementary Geometry
    • Chauvenet, W.1
  • 7
    • 0010505988 scopus 로고    scopus 로고
    • When negotiation of meaning is also negotiation of task
    • Christiansen, I. (1997): When negotiation of meaning is also negotiation of task. Educational Studies in Mathematics, 34, 1-25.
    • (1997) Educational Studies In Mathematics , vol.34 , pp. 1-25
    • Christiansen, I.1
  • 8
    • 33645703716 scopus 로고
    • Geometrical pictures: Kinds of representation and specific processings
    • R. Sutherland and J. Mason (Eds.), Berlin: Springer
    • Duval, R. (1995): Geometrical pictures: Kinds of representation and specific processings. In R. Sutherland and J. Mason (Eds.), Exploiting mental imagery with computers in mathematics education (pp. 142-157). Berlin: Springer.
    • (1995) Exploiting Mental Imagery With Computers In Mathematics Education , pp. 142-157
    • Duval, R.1
  • 10
    • 4544296595 scopus 로고    scopus 로고
    • The role of contradiction and uncertainty in promoting the need to prove in Dynamic Geometry environments
    • Hadas, N., Herschkovitz, R., and Schwartz, B. (2000): The role of contradiction and uncertainty in promoting the need to prove in Dynamic Geometry environments. Educational Studies in Mathematics, 44, 127-150.
    • (2000) Educational Studies In Mathematics , vol.44 , pp. 127-150
    • Hadas, N.1    Herschkovitz, R.2    Schwartz, B.3
  • 11
    • 33645063983 scopus 로고    scopus 로고
    • Establishing a custom of proving in American school geometry: Evolution of the two-column proof in the early twentieth century
    • Herbst, P. (2002a): Establishing a custom of proving in American school geometry: evolution of the two-column proof in the early twentieth century. Educational Studies in Mathematics, 49, 283-312.
    • (2002) Educational Studies In Mathematics , vol.49 , pp. 283-312
    • Herbst, P.1
  • 12
    • 0036016398 scopus 로고    scopus 로고
    • Engaging students in proving: A double bind on the teacher
    • Herbst, P. (2002b): Engaging students in proving: A double bind on the teacher. Journal for Research in Mathematics Education, 33, 176-203.
    • (2002) Journal For Research In Mathematics Education , vol.33 , pp. 176-203
    • Herbst, P.1
  • 13
    • 0038043814 scopus 로고    scopus 로고
    • Using novel tasks in teaching mathematics: Three tensions affecting the work of the teacher
    • Herbst, P. (2003a): Using novel tasks in teaching mathematics: Three tensions affecting the work of the teacher. American Educational Research Journal, 40, 197-238.
    • (2003) American Educational Research Journal , vol.40 , pp. 197-238
    • Herbst, P.1
  • 15
    • 84867382248 scopus 로고    scopus 로고
    • Descriptive and prescriptive interactions with diagrams and customary situations of proving in geometry
    • N. Pateman, B. Dougherty, and J. Zilliox (Eds.), Honolulu: University of Hawaii
    • Herbst, P. (2003c): Descriptive and prescriptive interactions with diagrams and customary situations of proving in geometry. In N. Pateman, B. Dougherty, and J. Zilliox (Eds.), Proceedings of the 2003 Joint Meeting of PME and PMENA (Vol 1, p. 229). Honolulu: University of Hawaii.
    • (2003) Proceedings of the 2003 Joint Meeting of PME and PMENA , vol.1 , pp. 229
    • Herbst, P.1
  • 19
    • 0011894114 scopus 로고
    • (L. Unger, Trans., P. Bernays, Rev.). Open Court, La Salle, IL. (Original work published in German in 1899)
    • Hilbert, D. (1971): Foundations of Geometry. (L. Unger, Trans., P. Bernays, Rev.). Open Court, La Salle, IL. (Original work published in German in 1899)
    • (1971) Foundations of Geometry
    • Hilbert, D.1
  • 20
    • 9944260358 scopus 로고
    • San Francisco: W. H. Freeman and company
    • Jacobs, H. (1974): Geometry. San Francisco: W. H. Freeman and company.
    • (1974) Geometry
    • Jacobs, H.1
  • 21
    • 33947727876 scopus 로고
    • 'Is' versus 'seeing as': Constructivism and the mathematics classroom
    • D. Pimm (Ed.), London: Hodder & Stoughton
    • Jaworski, B. (1988): 'Is' versus 'seeing as': Constructivism and the mathematics classroom. In D. Pimm (Ed.), Mathematics, Teachers and Children (pp. 287-296). London: Hodder & Stoughton.
    • (1988) Mathematics, Teachers and Children , pp. 287-296
    • Jaworski, B.1
  • 22
    • 14044257819 scopus 로고    scopus 로고
    • Dynamic geometry environments as a source of rich learning contexts for the complex activity of proving
    • Laborde, C. (2000): Dynamic geometry environments as a source of rich learning contexts for the complex activity of proving. Educational Studies in Mathematics, 44, 151-161.
    • (2000) Educational Studies In Mathematics , vol.44 , pp. 151-161
    • Laborde, C.1
  • 24
    • 0001416936 scopus 로고    scopus 로고
    • Approaching geometry theorems in contexts: From history and epistemology to cognition
    • E. Pehkonen (Ed.), Lahti, Finland
    • Mariotti, M. A., Bartolini-Bussi, M., Boero, P., Ferri, F. and Garuti, R. (1997): Approaching geometry theorems in contexts: From history and epistemology to cognition. In E. Pehkonen (Ed.), Proc. PME 21 (v. 1, pp. 180-195). Lahti, Finland.
    • (1997) Proc. PME 21 , vol.1 , pp. 180-195
    • Mariotti, M.A.1    Bartolini-Bussi, M.2    Boero, P.3    Ferri, F.4    Garuti, R.5
  • 25
    • 0010467435 scopus 로고
    • The meaning of Euclidean geometry in school mathematics
    • Moise, E. (1975): The meaning of Euclidean geometry in school mathematics. The Mathematics Teacher, 68, 472-477
    • (1975) The Mathematics Teacher , vol.68 , pp. 472-477
    • Moise, E.1
  • 26
    • 0010464322 scopus 로고    scopus 로고
    • Greek mathematics diagrams: Their use and their meaning
    • Netz, R. (1998): Greek mathematics diagrams: their use and their meaning. For the Learning of Mathematics, 18(3), 33-39.
    • (1998) For the Learning of Mathematics , vol.18 , Issue.3 , pp. 33-39
    • Netz, R.1
  • 29
    • 52649161788 scopus 로고
    • Old and new methods in elementary geometry
    • Richards, E. (1892): Old and new methods in elementary geometry. Educational Review, 3, 31-39.
    • (1892) Educational Review , vol.3 , pp. 31-39
    • Richards, E.1
  • 30
    • 85065692816 scopus 로고
    • On having and using geometrical knowledge
    • J. Hiebert (Ed.), Hillsdale, NJ: Erlbaum
    • Schoenfeld, A. (1987): On having and using geometrical knowledge. In J. Hiebert (Ed.), Conceptual and Procedural Knowledge: The case of mathematics (pp. 225-264). Hillsdale, NJ: Erlbaum
    • (1987) Conceptual and Procedural Knowledge: The Case of Mathematics , pp. 225-264
    • Schoenfeld, A.1
  • 32
    • 0000092319 scopus 로고    scopus 로고
    • Beyond inductive and deductive reasoning: The search for a sense of knowing
    • Simon, M. (1996): Beyond inductive and deductive reasoning: The search for a sense of knowing. Educational Studies in Mathematics, 30, 197-210.
    • (1996) Educational Studies In Mathematics , vol.30 , pp. 197-210
    • Simon, M.1
  • 33
    • 0010467044 scopus 로고
    • What should not be in the algebra and geometry curricula of average college-bound students?
    • Usiskin, Z. (1980): What should not be in the algebra and geometry curricula of average college-bound students? The Mathematics Teacher, 73, 413-424.
    • (1980) The Mathematics Teacher , vol.73 , pp. 413-424
    • Usiskin, Z.1
  • 34
    • 24944510698 scopus 로고
    • Overcoming visual obstacles with the aid of the Supposer
    • J. Schwartz, M. Yerushalmy, and B. Wilson (Eds.), Hillsdale, NJ: Erlbaum
    • Yerushalmy, M. and Chazan, D. (1993): Overcoming visual obstacles with the aid of the Supposer. In J. Schwartz, M. Yerushalmy, and B. Wilson (Eds.), The Geometric Supposer: What is it a case of? (pp. 25-56). Hillsdale, NJ: Erlbaum.
    • (1993) The Geometric Supposer: What is It a Case Of? , pp. 25-56
    • Yerushalmy, M.1    Chazan, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.