-
1
-
-
0001979136
-
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
-
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
-
4
-
-
0003599607
-
-
N. Balacheff, M. Cooper, R. Sutherland, and V. Warfield, Eds. and Trans, Dordrecht, The Netherlands: Kluwer
-
Brousseau, G. (1997), Theory of didactical situations in mathematics: Didactique des Mathematiques 1970-1990 (N. Balacheff, M. Cooper, R. Sutherland, and V. Warfield, Eds. and Trans.). - Dordrecht, The Netherlands: Kluwer.
-
(1997)
Theory of Didactical Situations In Mathematics: Didactique Des Mathematiques 1970-1990
-
-
Brousseau, G.1
-
5
-
-
52649177127
-
-
(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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
-
(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
-
-
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
-
'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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
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