-
1
-
-
0003113837
-
Aspects of Proof in Pupils Practice of School Mathematics
-
D. Pimm (Ed.), London: Hodder and Stoughton
-
Balacheff, N. (1988). Aspects of Proof in Pupils Practice of School Mathematics. In D. Pimm (Ed.), Mathematics, Teachers, and Children, (216-235). London: Hodder and Stoughton.
-
(1988)
Mathematics, Teachers, and Children
, pp. 216-235
-
-
Balacheff, N.1
-
2
-
-
0002487283
-
Treatment of refutations: Aspects of the complexity of a constructivist approach to mathematics learning
-
E. von Glasersfeld, (ed.), Dordrecht: Kluwer
-
Balacheff, N. (1991). Treatment of refutations: Aspects of the complexity of a constructivist approach to mathematics learning. In E. von Glasersfeld, (ed.), Radical constructivism in mathematics education, (89-110). Dordrecht: Kluwer.
-
(1991)
Radical Constructivism In Mathematics Education
, pp. 89-110
-
-
Balacheff, N.1
-
4
-
-
0003500687
-
Mathematics achievement in the middle school years
-
Chestnut Hill, MA: Center for the Study of Testing, Evaluation and Educational Policy
-
Beaton, A. E.; Mullis, I.V.S.; Martin, M. O.; Gonzalez, E. J.; Kelly, D. L.; Smith, T. A. (1996). Mathematics achievement in the middle school years. IEA's third International Mathematics and Science Study (TIMSS). Chestnut Hill, MA: Center for the Study of Testing, Evaluation and Educational Policy.
-
(1996)
IEA's Third International Mathematics and Science Study (TIMSS)
-
-
Beaton, A.E.1
Mullis, I.V.S.2
Martin, M.O.3
Gonzalez, E.J.4
Kelly, D.L.5
Smith, T.A.6
-
5
-
-
0012062337
-
Argumentation and mathematical proof: A complex, productive, unavoidable relationship in mathematics and mathematics education
-
Boero, P. (1999). Argumentation and mathematical proof: A complex, productive, unavoidable relationship in mathematics and mathematics education. International Newsletter on the Teaching and Learning of Mathematical Proof, 7/8.
-
(1999)
International Newsletter On the Teaching and Learning of Mathematical Proof
, vol.7-8
-
-
Boero, P.1
-
6
-
-
0039615633
-
Spadework Prior to Deduction in Geometry
-
Burger, W. F. & Shaughnessy, J. M. (1985) Spadework Prior to Deduction in Geometry. Mathematics Teacher 78 (6), 419-428.
-
(1985)
Mathematics Teacher
, vol.78
, Issue.6
, pp. 419-428
-
-
Burger, W.F.1
Shaughnessy, J.M.2
-
10
-
-
84867316211
-
-
Poster presentation at the 16th Conference of the International Group for the Psychology of Mathematics Education (PME 16), University of New Hampshire, USA
-
de Villiers, M. (1992). Children's Acceptance of Theorems in Geometry. Poster presentation at the 16th Conference of the International Group for the Psychology of Mathematics Education (PME 16), University of New Hampshire, USA.
-
(1992)
Children's Acceptance of Theorems In Geometry
-
-
de Villiers, M.1
-
11
-
-
0003570413
-
-
Englewood Cliffs, N.J., Pretince Hall
-
Flavell, J. H. (1977). Cognitive Development. Englewood Cliffs, N.J., Pretince Hall.
-
(1977)
Cognitive Development
-
-
Flavell, J.H.1
-
12
-
-
84953478981
-
Some examples of cognitive task analysis with instructional implications
-
R. E. Snow, P. Frederico, W. E. Montague (Eds.), Hillsdale, NJ: Erlbaum
-
Greeno, J. G. (1980). Some examples of cognitive task analysis with instructional implications. In: R. E. Snow, P. Frederico, W. E. Montague (Eds.) Aptitude, learning and instruction, Vol. 2, (1-21). Hillsdale, NJ: Erlbaum.
-
(1980)
Aptitude, Learning and Instruction
, vol.2
, Issue.1-21
-
-
Greeno, J.G.1
-
13
-
-
0003722076
-
-
Toronto, Ontario: Ontario Institute for Studies in Education
-
Hanna, G. (1983). Rigorous proof in mathematics education. Toronto, Ontario: Ontario Institute for Studies in Education.
-
(1983)
Rigorous Proof In Mathematics Education
-
-
Hanna, G.1
-
14
-
-
0141877309
-
The ongoing value of proof
-
Hanna, G. (1997). The ongoing value of proof. Journal für Mathematikdidaktik, 18, 171-185.
-
(1997)
Journal Für Mathematikdidaktik
, vol.18
, pp. 171-185
-
-
Hanna, G.1
-
15
-
-
0009613925
-
Chapter 23: Proof and Proving
-
Bishop, A. J.; Clements, K.; Keitel, C.; Kilpatrick, J.; Laborde, C. (eds.), Dordrecht: Kluwer
-
Hanna, G. & Jahnke, H. N. (1996). Chapter 23: Proof and Proving. In: Bishop, A. J.; Clements, K.; Keitel, C.; Kilpatrick, J.; Laborde, C. (eds.) International Handbook on Mathematics Education. Vol. 4, Part 2, (877-908). Dordrecht: Kluwer.
-
(1996)
International Handbook On Mathematics Education
, vol.4
, Issue.PART 2
, pp. 877-908
-
-
Hanna, G.1
Jahnke, H.N.2
-
16
-
-
0001099510
-
Students' Proof Schemes: Results from Exploratory Studies
-
A.H. Schoenfeld, J. Kaput, & E. Dubinsky (Eds.), Providence, RI: American Mathematical Society
-
Harel, G. & Sowder, L. (1998). Students' Proof Schemes: Results from Exploratory Studies. In A.H. Schoenfeld, J. Kaput, & E. Dubinsky (Eds.), Research in Collegiate Mathematics Education, (234-283). Providence, RI: American Mathematical Society.
-
(1998)
Research In Collegiate Mathematics Education
, pp. 234-283
-
-
Harel, G.1
Sowder, L.2
-
18
-
-
0041167491
-
Concept Images and Common Cognitive Paths in the Development of Some Simple Geometrical Concepts
-
R. Karplus (ed.), Berkley: University of California, Lawrence Hall of Science
-
Hershkowitz, R. & Vinner, S. (1980). Concept Images and Common Cognitive Paths in the Development of Some Simple Geometrical Concepts. In: R. Karplus (ed.) Proceedings of the 4th Conference of the International Group for the Psychology of Mathematics Education, (177-184). Berkley: University of California, Lawrence Hall of Science.
-
(1980)
Proceedings of the 4th Conference of the International Group For the Psychology of Mathematics Education
, pp. 177-184
-
-
Hershkowitz, R.1
Vinner, S.2
-
19
-
-
84867290154
-
Basic geometric concepts - definitions and images
-
Vermandel, A. Wilrijk, Universitaire Instelling Antwerpen, Antwerp (Belgium)
-
Hershkowitz, R. & Vinner, S. (1982). Basic geometric concepts - definitions and images. In: Vermandel, A. Wilrijk, Proceedings of the 6th Conference of the International Group for the Psychology of Mathematics Education, (18-23). Universitaire Instelling Antwerpen, Antwerp (Belgium).
-
(1982)
Proceedings of the 6th Conference of the International Group For the Psychology of Mathematics Education
, pp. 18-23
-
-
Hershkowitz, R.1
Vinner, S.2
-
22
-
-
38249016240
-
Abstract planning and perceptual chunks: Elements of expertise in geometry
-
Koedinger, K. R. & Anderson, J. R. (1990). Abstract planning and perceptual chunks: Elements of expertise in geometry. Cognitive Science, 14, 511-550.
-
(1990)
Cognitive Science
, vol.14
, pp. 511-550
-
-
Koedinger, K.R.1
Anderson, J.R.2
-
23
-
-
0024741323
-
Children and adults as intuitive scientists
-
Kuhn, D. (1989). Children and adults as intuitive scientists. Psychological Review, 96, 674-689.
-
(1989)
Psychological Review
, vol.96
, pp. 674-689
-
-
Kuhn, D.1
-
26
-
-
0003865799
-
-
National Council of Teachers of Mathematics (Ed.), Reston, VA: NCTM
-
National Council of Teachers of Mathematics (Ed.) (2000). Principles and Standards for School Mathematics. Reston, VA: NCTM.
-
(2000)
Principles and Standards For School Mathematics
-
-
-
27
-
-
0012069665
-
Prerequisites for the understanding of proofs in the geometry classroom
-
M. van den Heuvel-Panhuizen (Ed.), Utrecht (The Netherlands): Utrecht University
-
Reiss, K., Klieme, E. & Heinze, A. (2001). Prerequisites for the understanding of proofs in the geometry classroom. In M. van den Heuvel-Panhuizen (Ed.), Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education. Vol. 4, (97-104). Utrecht (The Netherlands): Utrecht University.
-
(2001)
Proceedings of the 25th Conference of the International Group For the Psychology of Mathematics Education
, vol.4
, pp. 97-104
-
-
Reiss, K.1
Klieme, E.2
Heinze, A.3
-
28
-
-
4243336373
-
Wissenschaftliches Denken beim Beweisen in der Geometrie. Ergebnisse einer Studie mit Schülerinnen und Schülern der gymnasialen Oberstufe
-
Reiss, K. & Thomas, J. (2001). Wissenschaftliches Denken beim Beweisen in der Geometrie. Ergebnisse einer Studie mit Schülerinnen und Schülern der gymnasialen Oberstufe. Mathematica didactica 23 (1), 96-112.
-
(2001)
Mathematica Didactica
, vol.23
, Issue.1
, pp. 96-112
-
-
Reiss, K.1
Thomas, J.2
-
29
-
-
84867321946
-
Bedingungen für das Argumentieren, Begründen und Beweisen in der Sekundarstufe
-
submitted
-
Reiss, K. & Hellmich, F. (submitted). Bedingungen für das Argumentieren, Begründen und Beweisen in der Sekundarstufe. Zeitschrift für Pädagogik.
-
Zeitschrift Für Pädagogik
-
-
Reiss, K.1
Hellmich, F.2
-
30
-
-
0012003521
-
How Well Do Students Write Geometry Proofs?
-
Senk, S. (1985). How Well Do Students Write Geometry Proofs? Mathematics Teacher 78 (6), 448-456.
-
(1985)
Mathematics Teacher
, vol.78
, Issue.6
, pp. 448-456
-
-
Senk, S.1
-
31
-
-
0001940478
-
The Role of Definitions in Teaching and Learning of Mathematics
-
D. Tall (ed.), Dordrecht: Kluwer
-
Vinner, S. (1991). The Role of Definitions in Teaching and Learning of Mathematics. In: D. Tall (ed.) Advanced Mathematical Thinking, (65-81). Dordrecht: Kluwer.
-
(1991)
Advanced Mathematical Thinking
, pp. 65-81
-
-
Vinner, S.1
-
32
-
-
51549110808
-
The role of negative instances in geometric feature identification task
-
Wilson (1986). The role of negative instances in geometric feature identification task. Journal of Research in Mathematics Education 17, 130-139.
-
(1986)
Journal of Research In Mathematics Education
, vol.17
, pp. 130-139
-
-
Wilson1
-
33
-
-
2442468774
-
Inconsistent ideas related to definitions and examples
-
Wilson (1990). Inconsistent ideas related to definitions and examples. Focus on Learning Problems of Mathematics 12 (3/4), 31-47.
-
(1990)
Focus On Learning Problems of Mathematics
, vol.12
, Issue.3-4
, pp. 31-47
-
-
Wilson1
|