-
1
-
-
33845500486
-
Elementary grades students' capacity for functional thinking
-
M. J. Høines and A. B. Fuglestad (Eds.), Bergan, Norway: PME
-
Blanton, M. L., & Kaput, J. J. (2004). Elementary grades students' capacity for functional thinking. In M. J. Høines & A. B. Fuglestad (Eds.), Proceedings of the 28th conference of the International Group for the Psychology of Mathematics Education, Vol. 2 (pp. 135-142). Bergan, Norway: PME.
-
(2004)
Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education
, vol.2
, pp. 135-142
-
-
Blanton, M.L.1
Kaput, J.J.2
-
2
-
-
33645157476
-
Arithmetic and algebra in early mathematics education
-
Carraher, D., Schliemann, A., Brizuela, B., & Earnest, D. (2006). Arithmetic and algebra in early mathematics education. Journal for Research in Mathematics Education, 37(2), 87-115.
-
(2006)
Journal for Research in Mathematics Education
, vol.37
, Issue.2
, pp. 87-115
-
-
Carraher, D.1
Schliemann, A.2
Brizuela, B.3
Earnest, D.4
-
3
-
-
23844490908
-
Can young students operate on unknowns?
-
M. Heuvel-Panhuizenvan den (Ed.), Utrecht, The Netherlands: PME
-
Carraher, D., Schliemann, A. D., & Brizuela, B. M. (2001). Can young students operate on unknowns? In M. van den Heuvel-Panhuizen (Ed.), Proceedings of the 25th conference of the International Group for the Psychology of Mathematics Education, (Vol. 1) (pp. 130-140). Utrecht, The Netherlands: PME.
-
(2001)
Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education
, vol.1
, pp. 130-140
-
-
Carraher, D.1
Schliemann, A.D.2
Brizuela, B.M.3
-
4
-
-
21444449863
-
Students' development of length concepts in a Logo-based unit on geometric paths
-
Clements, D. H., Battista, M. T., Sarama, J., Swaminathan, S., & McMillen, S. (1997). Students' development of length concepts in a Logo-based unit on geometric paths. Journal of Mathematics Teacher Education, 28(1), 70-95.
-
(1997)
Journal of Mathematics Teacher Education
, vol.28
, Issue.1
, pp. 70-95
-
-
Clements, D.H.1
Battista, M.T.2
Sarama, J.3
Swaminathan, S.4
McMillen, S.5
-
5
-
-
84865970224
-
-
Paper presented at the Psychology of Mathematics Workshop. Centre for Science Education: Chelsea College, London
-
Collis, K. F. (1974). Cognitive development and mathematics learning. Paper presented at the Psychology of Mathematics Workshop. Centre for Science Education: Chelsea College, London.
-
(1974)
Cognitive development and mathematics learning
-
-
Collis, K.F.1
-
6
-
-
33645137832
-
-
Report of a Social Science Research Council sponsored project (HR 2434/1). Newcastle, NSW, Australia: University of Newcastle
-
Collis, K. F. (1975). The development of formal reasoning. Report of a Social Science Research Council sponsored project (HR 2434/1). Newcastle, NSW, Australia: University of Newcastle.
-
(1975)
The development of formal reasoning
-
-
Collis, K.F.1
-
7
-
-
84870014953
-
The transition from arithmetic to algebra: Initial understanding of equals, operations and variable
-
E. Pehkonen (Ed.), Lahti, Finland: PME
-
Cooper, T. J., Boulton-Lewis, G. M., Atwah, B., Pillay, H., Wilss, L., & Mutch, S. (1997). The transition from arithmetic to algebra: Initial understanding of equals, operations and variable. In E. Pehkonen (Ed.), Proceedings of the 21st conference of the International Group for the Psychology of Mathematics Education. Vol. 2 (pp. 89-96). Lahti, Finland: PME.
-
(1997)
Proceedings of the 21st Conference of the International Group for the Psychology of Mathematics Education
, vol.2
, pp. 89-96
-
-
Cooper, T.J.1
Boulton-Lewis, G.M.2
Atwah, B.3
Pillay, H.4
Wilss, L.5
Mutch, S.6
-
8
-
-
0343046137
-
Understanding the limit concept: Beginning with a coordinated process scheme
-
Cottrill, J., Dubinsky, E., Nichols, D., Schwingendorf, K., Thomas, K., & Vidakovic, D. (1996). Understanding the limit concept: Beginning with a coordinated process scheme. The Journal of Mathematical Behavior, 15, 167-192.
-
(1996)
The Journal of Mathematical Behavior
, vol.15
, pp. 167-192
-
-
Cottrill, J.1
Dubinsky, E.2
Nichols, D.3
Schwingendorf, K.4
Thomas, K.5
Vidakovic, D.6
-
11
-
-
27744569066
-
Voyaging from theory to practice in teaching and learning: a view from Hawai'i
-
N. A. Pateman, B. J. Dougherty, and J. T. Zilliox (Eds.), Hawai'i, USA: PME
-
Dougherty, B. J., & Zilliox, J. (2003). Voyaging from theory to practice in teaching and learning: A view from Hawai'i. In N. A. Pateman, B. J. Dougherty, & J. T. Zilliox (Eds.), Proceedings of the 27th conference of the International Group for the Psychology of Mathematics Education held jointly with the 25th conference of PME-NA, (Vol. 1) (pp. 17-23). Hawai'i, USA: PME.
-
(2003)
Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics Education Held Jointly with the 25th Conference of PME-NA
, vol.1
, pp. 17-23
-
-
Dougherty, B.J.1
Zilliox, J.2
-
12
-
-
0002573795
-
Reflective abstraction in advanced mathematical thinking
-
D. Tall (Ed.), Dordrecht: Kluwer Academic Publishers
-
Dubinsky, E. (1991). Reflective abstraction in advanced mathematical thinking. In D. Tall (Ed.), Advanced mathematical thinking (pp. 95-123). Dordrecht: Kluwer Academic Publishers.
-
(1991)
Advanced Mathematical Thinking
, pp. 95-123
-
-
Dubinsky, E.1
-
13
-
-
0009257532
-
Solving equations, the transition from arithmetic to algebra
-
Filloy, E., & Rojano, T. (1989). Solving equations, the transition from arithmetic to algebra. For the Learning of Mathematics, 9(2), 19-25.
-
(1989)
For the Learning of Mathematics
, vol.9
, Issue.2
, pp. 19-25
-
-
Filloy, E.1
Rojano, T.2
-
14
-
-
84865961354
-
Prospective elementary teachers' understanding of order of operations
-
Glidden, P. L. (2008). Prospective elementary teachers' understanding of order of operations. School Science and Mathematics, 108(4), 130-136.
-
(2008)
School Science and Mathematics
, vol.108
, Issue.4
, pp. 130-136
-
-
Glidden, P.L.1
-
15
-
-
21344483370
-
Duality, ambiguity and flexibility: A proceptual view of simple arithmetic
-
Gray, E. M., & Tall, D. O. (1994). Duality, ambiguity and flexibility: A proceptual view of simple arithmetic. Journal for Research in Mathematics Education, 25(2), 115-141.
-
(1994)
Journal for Research in Mathematics Education
, vol.25
, Issue.2
, pp. 115-141
-
-
Gray, E.M.1
Tall, D.O.2
-
16
-
-
85085441660
-
Cognitive obstacles encountered in the learning of algebra
-
S. Wagner and C. Kieran (Eds.), Reston, Virginia: National Council of Teachers of Mathematics, Lawrence Erlbaum Associates
-
Herscovics, N. (1989). Cognitive obstacles encountered in the learning of algebra. In S. Wagner & C. Kieran (Eds.), Research issues in the learning and teaching of algebra (pp. 60-86). Reston, Virginia: National Council of Teachers of Mathematics, Lawrence Erlbaum Associates.
-
(1989)
Research Issues in the Learning and Teaching of Algebra
, pp. 60-86
-
-
Herscovics, N.1
-
18
-
-
34548494903
-
Mathematical fluency: The nature of practice and the role of subordination
-
Hewitt, D. (1996). Mathematical fluency: The nature of practice and the role of subordination. For the Learning of Mathematics, 16(2), 28-35.
-
(1996)
For the Learning of Mathematics
, vol.16
, Issue.2
, pp. 28-35
-
-
Hewitt, D.1
-
19
-
-
3843072419
-
Arbitrary and necessary: Part 1 a way of viewing the mathematics curriculum
-
Hewitt, D. (1999). Arbitrary and necessary: Part 1 a way of viewing the mathematics curriculum. For the Learning of Mathematics, 19(3), 2-9.
-
(1999)
For the Learning of Mathematics
, vol.19
, Issue.3
, pp. 2-9
-
-
Hewitt, D.1
-
20
-
-
4243311620
-
Arbitrary and necessary: Part 2 assisting memory
-
Hewitt, D. (2001). Arbitrary and necessary: Part 2 assisting memory. For the Learning of Mathematics, 21(1), 44-51.
-
(2001)
For the Learning of Mathematics
, vol.21
, Issue.1
, pp. 44-51
-
-
Hewitt, D.1
-
22
-
-
0001071316
-
Concepts associated with the equality symbol
-
Kieran, C. (1981). Concepts associated with the equality symbol. Educational Studies in Mathematics, 12(3), 317-326.
-
(1981)
Educational Studies in Mathematics
, vol.12
, Issue.3
, pp. 317-326
-
-
Kieran, C.1
-
23
-
-
33745947856
-
Middle school students' understanding of core algebraic concepts: Equivalence & variable
-
Knuth, E. J., Alibali, M. W., McNeil, N. M., Weinberg, A., & Stephens, A. C. (2005). Middle school students' understanding of core algebraic concepts: Equivalence & variable. ZDM, 37(1), 68-76.
-
(2005)
Zdm
, vol.37
, Issue.1
, pp. 68-76
-
-
Knuth, E.J.1
Alibali, M.W.2
McNeil, N.M.3
Weinberg, A.4
Stephens, A.C.5
-
25
-
-
38049024313
-
Analysis of concatenations and order of operations in written mathematics
-
Lee, M. A., & Messner, S. J. (2000). Analysis of concatenations and order of operations in written mathematics. School Science and Mathematics, 100(4), 173-180.
-
(2000)
School Science and Mathematics
, vol.100
, Issue.4
, pp. 173-180
-
-
Lee, M.A.1
Messner, S.J.2
-
26
-
-
84866003662
-
Prerequisite skills for learning algebra
-
M. F. Pinto and T. F. Kawasaki (Eds.), Belo Horizonte, Brazil: PME
-
Linsell, C., & Allan, R. (2010). Prerequisite skills for learning algebra. In M. M. F. Pinto & T. F. Kawasaki (Eds.), Proceedings of the 34th conference of the International Group for the Psychology of Mathematics Education, (Vol. 3) (pp. 217-224). Belo Horizonte, Brazil: PME.
-
(2010)
Proceedings of the 34th Conference of the International Group for the Psychology of Mathematics Education
, vol.3
, pp. 217-224
-
-
Linsell, C.1
Allan, R.2
-
27
-
-
84865986103
-
Characterizing students' algebraic thinking in linear pattern with pictorial contents
-
M. Tzekaki, M. Kaldrimidou, and H. Sakonidis (Eds.), Thessaloniki, Greece: PME
-
Ma, H.-L. (2009). Characterizing students' algebraic thinking in linear pattern with pictorial contents. In M. Tzekaki, M. Kaldrimidou, & H. Sakonidis (Eds.), Proceedings of the 33rd conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 49-56). Thessaloniki, Greece: PME.
-
(2009)
Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education
, vol.4
, pp. 49-56
-
-
Ma, H.-L.1
-
32
-
-
54649084154
-
Third graders' interpretations or equality and the equal symbol
-
Sáenz-Ludlow, A., & Walgamuth, C. (1998). Third graders' interpretations or equality and the equal symbol. Educational Studies in Mathematics, 35, 153-187.
-
(1998)
Educational Studies in Mathematics
, vol.35
, pp. 153-187
-
-
Sáenz-Ludlow, A.1
Walgamuth, C.2
-
33
-
-
33645165465
-
Algebra in elementary school
-
N. A. Pateman, B. J. Dougherty, and J. T. Zilliox (Eds.), Hawai'i, USA: PME
-
Schliemann, A., Carraher, D., Brizuela, B., Earnest, D., Goodrow, A., Lara-Roth, S., & Peled, I. (2003). Algebra in elementary school. In N. A. Pateman, B. J. Dougherty, & J. T. Zilliox (Eds.), Proceedings of the 27th conference of the International Group for the Psychology of Mathematics Education held jointly with the 25th conference of PME-NA, (Vol. 4) (pp. 127-134). Hawai'i, USA: PME.
-
(2003)
Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics Education Held Jointly with the 25th Conference of PME-NA
, vol.4
, pp. 127-134
-
-
Schliemann, A.1
Carraher, D.2
Brizuela, B.3
Earnest, D.4
Goodrow, A.5
Lara-Roth, S.6
Peled, I.7
-
34
-
-
84965520752
-
Situated cognition and the culture of learning
-
Seeley Brown, J., Collins, A., & Duguid, P. (1989). Situated cognition and the culture of learning. Educational Researcher, 18(1), 32-42.
-
(1989)
Educational Researcher
, vol.18
, Issue.1
, pp. 32-42
-
-
Seeley Brown, J.1
Collins, A.2
Duguid, P.3
-
35
-
-
0002546637
-
On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin
-
Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics, 22(1), 1-36.
-
(1991)
Educational Studies in Mathematics
, vol.22
, Issue.1
, pp. 1-36
-
-
Sfard, A.1
-
36
-
-
24944477378
-
The gains and pitfalls of reification-the case of algebra
-
Sfard, A., & Linchevski, L. (1994). The gains and pitfalls of reification-the case of algebra. Educational Studies in Mathematics, 26, 191-228.
-
(1994)
Educational Studies in Mathematics
, vol.26
, pp. 191-228
-
-
Sfard, A.1
Linchevski, L.2
-
37
-
-
0030305056
-
Symbolizing as a constructive activity in a computer microworld
-
Steffe, L. P., & Olive, J. (1996). Symbolizing as a constructive activity in a computer microworld. Journal of Educational Computing Research, 14(2), 113-138.
-
(1996)
Journal of Educational Computing Research
, vol.14
, Issue.2
, pp. 113-138
-
-
Steffe, L.P.1
Olive, J.2
-
39
-
-
84865998277
-
Some thoughts arising from the new Nicolet films
-
Tahta, D. (1981). Some thoughts arising from the new Nicolet films. Mathematics Teaching, 94, 25-29.
-
(1981)
Mathematics Teaching
, vol.94
, pp. 25-29
-
-
Tahta, D.1
-
41
-
-
0000095627
-
Encouraging versatile thinking in algebra using the computer
-
Tall, D., & Thomas, M. (1991). Encouraging versatile thinking in algebra using the computer. Educational Studies in Mathematics, 22, 125-147.
-
(1991)
Educational Studies in Mathematics
, vol.22
, pp. 125-147
-
-
Tall, D.1
Thomas, M.2
-
42
-
-
3843074280
-
Focusing on informal strategies when linking arithmetic to early algebra
-
van Amerom, B. A. (2003). Focusing on informal strategies when linking arithmetic to early algebra. Educational Studies in Mathematics, 54(1), 63-75.
-
(2003)
Educational Studies in Mathematics
, vol.54
, Issue.1
, pp. 63-75
-
-
van Amerom, B.A.1
-
43
-
-
0017276549
-
The role of tutoring in problem solving
-
Wood, D., Bruner, J. S., & Ross, G. (1976). The role of tutoring in problem solving. Journal of Child Psychology and Psychiatry, 17, 89-100.
-
(1976)
Journal of Child Psychology and Psychiatry
, vol.17
, pp. 89-100
-
-
Wood, D.1
Bruner, J.S.2
Ross, G.3
|