-
1
-
-
33744519621
-
Convergence of numerical sequences: A commentary on "the Vice: Some historically inspired and proof generated steps to limits of sequences" by R. P. Burn
-
Bergé, A. (2006). Convergence of numerical sequences: a commentary on "The Vice: Some historically inspired and proof generated steps to limits of sequences" by R. P. Burn. Educational Studies in Mathematics, 61, 395-402.
-
(2006)
Educational Studies in Mathematics
, vol.61
, pp. 395-402
-
-
Bergé, A.1
-
3
-
-
0000316423
-
Beyond the methodology of mathematics research programmes
-
Corfield, D. (1998). Beyond the methodology of mathematics research programmes. Philosophia Mathematica, 6, 272-301.
-
(1998)
Philosophia Mathematica
, vol.6
, pp. 272-301
-
-
Corfield, D.1
-
5
-
-
84871602640
-
A hexagon result and its generalization via proof
-
De Villiers, M. (2007). A hexagon result and its generalization via proof. The Montana Mathematics Enthusiast, 4(2), 188-192.
-
(2007)
The Montana Mathematics Enthusiast
, vol.4
, Issue.2
, pp. 188-192
-
-
De Villiers, M.1
-
7
-
-
0009958729
-
Topology, matter, and space I: Topological notions in 19th-century natural philosophy
-
Epple, M. (1998). Topology, matter, and space I: topological notions in 19th-century natural philosophy. Archive for History of Exact Sciences, 52(4), 297-392.
-
(1998)
Archive for History of Exact Sciences
, vol.52
, Issue.4
, pp. 297-392
-
-
Epple, M.1
-
8
-
-
0000421698
-
The legacy of Lakatos: Reconceptualising the philosophy of mathematics
-
Ernest, P. (1997). The legacy of Lakatos: reconceptualising the philosophy of mathematics. Philosophia Mathematica, 5, 116-134.
-
(1997)
Philosophia Mathematica
, vol.5
, pp. 116-134
-
-
Ernest, P.1
-
9
-
-
85144646750
-
Mathematical activity
-
P. Mancosu, K. F. Jørgensen & S. A. Pedersen (Eds.) Dordrecht, The Netherlands: Springer
-
Giaquinto, M. (2005). Mathematical activity. In P. Mancosu, K. F. Jørgensen & S. A. Pedersen (Eds.), Visualization, explanation and reasoning in mathematics (pp. 75-87). Dordrecht, The Netherlands: Springer.
-
(2005)
Visualization, Explanation and Reasoning in Mathematics
, pp. 75-87
-
-
Giaquinto, M.1
-
10
-
-
0002993328
-
Challenges to the importance of proof
-
Hanna, G. (1995). Challenges to the importance of proof. For the Learning of Mathematics, 15(3), 42-49.
-
(1995)
For the Learning of Mathematics
, vol.15
, Issue.3
, pp. 42-49
-
-
Hanna, G.1
-
11
-
-
34547197957
-
Prove-once more and again
-
Hersh, R. (1997). Prove-once more and again. Philosophia Mathematica, 5, 153-165.
-
(1997)
Philosophia Mathematica
, vol.5
, pp. 153-165
-
-
Hersh, R.1
-
12
-
-
34547675801
-
Modelling mathematical argumentation: The importance of qualification
-
Inglis, M., Mejia-Ramos, J. P., & Simpson, A. (2007). Modelling mathematical argumentation: the importance of qualification. Educational Studies in Mathematics, 66(1), 3-21.
-
(2007)
Educational Studies in Mathematics
, vol.66
, Issue.1
, pp. 3-21
-
-
Inglis, M.1
Mejia-Ramos, J.P.2
Simpson, A.3
-
14
-
-
33645103404
-
Lakatos' methodology between logic and dialectic
-
G. Kampis, L. Kvasz & M. Stöltzner (Eds.) Dordrecht, The Netherlands: Kluwer Academic Publishers
-
Kvasz, L. (2002). Lakatos' methodology between logic and dialectic. In G. Kampis, L. Kvasz & M. Stöltzner (Eds.), Appraising Lakatos: mathematics, methodology and the man (pp. 211-241). Dordrecht, The Netherlands: Kluwer Academic Publishers.
-
(2002)
Appraising Lakatos: Mathematics, Methodology and the Man
, pp. 211-241
-
-
Kvasz, L.1
-
15
-
-
85140180841
-
From problem solving to modeling: The evolution of thinking about research on complex mathematical activity
-
R. Lesh & H. M. Doerr (Eds.) Mahwah, NJ: Lawrence Erlbaum
-
Lester, F. K., Jr. & Kehle, P. E. (2003). From problem solving to modeling: the evolution of thinking about research on complex mathematical activity. In R. Lesh & H. M. Doerr (Eds.), Beyond constructivism: models and modeling perspectives on mathematics problem solving, learning, and teaching (pp. 501-517). Mahwah, NJ: Lawrence Erlbaum.
-
(2003)
Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching
, pp. 501-517
-
-
Lester Jr., F.K.1
Kehle, P.E.2
-
16
-
-
0034335482
-
Patterns of verbal mediation during problem solving: A sequential analysis of self-explanation
-
Neuman, Y., Leibowitz, L., & Schwarz, B. (2000). Patterns of verbal mediation during problem solving: a sequential analysis of self-explanation. Journal of Experimental Education, 68(3), 197-213.
-
(2000)
Journal of Experimental Education
, vol.68
, Issue.3
, pp. 197-213
-
-
Neuman, Y.1
Leibowitz, L.2
Schwarz, B.3
-
17
-
-
0010864837
-
Improving diagrams gradually: One approach to using diagramsin problem solving
-
Nunokawa, K. (1994a). Improving diagrams gradually: one approach to using diagramsin problem solving. For the Learning of Mathematics, 14(1), 34-38.
-
(1994)
For the Learning of Mathematics
, vol.14
, Issue.1
, pp. 34-38
-
-
Nunokawa, K.1
-
18
-
-
0002835897
-
Solver's structures of a problem situation and their global restructuring
-
Nunokawa, K. (1994b). Solver's structures of a problem situation and their global restructuring. Journal of Mathematical Behavior, 13(3), 275-297.
-
(1994)
Journal of Mathematical Behavior
, vol.13
, Issue.3
, pp. 275-297
-
-
Nunokawa, K.1
-
19
-
-
84889955883
-
A continuity of solver's structures: Earlier activities facilitating the generation of basic ideas
-
Nunokawa, K. (1996). A continuity of solver's structures: earlier activities facilitating the generation of basic ideas. Tsukuba Journal of Educational Study in Mathematics, 15, 113-122.
-
(1996)
Tsukuba Journal of Educational Study in Mathematics
, vol.15
, pp. 113-122
-
-
Nunokawa, K.1
-
23
-
-
0035693599
-
Interaction between subgoals and understanding of problem situations in mathematical problem solving
-
Nunokawa, K. (2001). Interaction between subgoals and understanding of problem situations in mathematical problem solving. Journal of Mathematical Behavior, 20, 187-205.
-
(2001)
Journal of Mathematical Behavior
, vol.20
, pp. 187-205
-
-
Nunokawa, K.1
-
24
-
-
29444448792
-
Solvers' making of drawings in mathematical problem solving and their understanding of the problem situations
-
Nunokawa, K. (2004). Solvers' making of drawings in mathematical problem solving and their understanding of the problem situations. International Journal of Mathematical Education in Science and Technology, 35(2), 173-183.
-
(2004)
International Journal of Mathematical Education in Science and Technology
, vol.35
, Issue.2
, pp. 173-183
-
-
Nunokawa, K.1
-
25
-
-
29444448618
-
Mathematical problem solving and learning mathematics: What we expect students to obtain
-
Nunokawa, K. (2005). Mathematical problem solving and learning mathematics: what we expect students to obtain. Journal of Mathematical Behavior, 24, 325-340.
-
(2005)
Journal of Mathematical Behavior
, vol.24
, pp. 325-340
-
-
Nunokawa, K.1
-
27
-
-
29444454341
-
Questions during problem solving with dynamic geometric software and understanding problem situations
-
Nunokawa, K. & Fukuzawa, T. (2002). Questions during problem solving with dynamic geometric software and understanding problem situations. Proceedings of the National Science Council, Republic of China, Part D: Mathematics, Science, and Technology Education, 12(1), 31-43.
-
(2002)
Proceedings of the National Science Council, Republic of China, Part D: Mathematics, Science, and Technology Education
, vol.12
, Issue.1
, pp. 31-43
-
-
Nunokawa, K.1
Fukuzawa, T.2
-
28
-
-
34547676442
-
How can the relationship between argumentation and proof be analyzed?
-
Pedemonte, B. (2007). How can the relationship between argumentation and proof be analyzed? Educational Studies in Mathematics, 66, 23-41.
-
(2007)
Educational Studies in Mathematics
, vol.66
, pp. 23-41
-
-
Pedemonte, B.1
-
29
-
-
0010424484
-
Why do we prove theorems?
-
Rav, Y. (1999). Why do we prove theorems? Philosophia Mathematica, 7(1), 5-41.
-
(1999)
Philosophia Mathematica
, vol.7
, Issue.1
, pp. 5-41
-
-
Rav, Y.1
-
30
-
-
55949090711
-
Lakatos and aspects of mathematics education
-
G. Kampis, L. Kvasz & M. Stöltzner (Eds.) Dordrecht, The Netherlands: Kluwer Academic Publishers
-
Reichel, H.-C. (2002). Lakatos and aspects of mathematics education. In G. Kampis, L. Kvasz & M. Stöltzner (Eds.), Appraising Lakatos: mathematics, methodology and the man (pp. 255-260). Dordrecht, The Netherlands: Kluwer Academic Publishers.
-
(2002)
Appraising Lakatos: Mathematics, Methodology and the Man
, pp. 255-260
-
-
Reichel, H.-C.1
-
31
-
-
0347376740
-
Mathematical explanation
-
Steiner, M. (1978). Mathematical explanation. Philosophical Studies, 34, 135-151.
-
(1978)
Philosophical Studies
, vol.34
, pp. 135-151
-
-
Steiner, M.1
-
32
-
-
0010769961
-
The philosophy of mathematics of Imre Lakatos
-
Steiner, M. (1983). The philosophy of mathematics of Imre Lakatos. Journal of Philosophy, 80, 502-521.
-
(1983)
Journal of Philosophy
, vol.80
, pp. 502-521
-
-
Steiner, M.1
-
33
-
-
0002356643
-
Explanation, justification and argumentation in mathematics classrooms
-
M. van den Heuvel-Panhuizen (Ed.) Utrecht, The Netherlands: PME
-
Yackel, E. (2001). Explanation, justification and argumentation in mathematics classrooms. In M. van den Heuvel-Panhuizen (Ed.), Proceeding of the conference of the International Group of for the Psychology of Mathematics Education (Vol. 1, pp. 9-24). Utrecht, The Netherlands: PME.
-
(2001)
Proceeding of the Conference of the International Group of for the Psychology of Mathematics Education (
, vol.1
, pp. 9-24
-
-
Yackel, E.1
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