-
1
-
-
0039786323
-
The laboratory for making things: Developing multiple representations of knowledge
-
D. A. Schön (Ed.), New York: Teachers College Press
-
Bamberger, J. (1990). The laboratory for making things: Developing multiple representations of knowledge. In D. A. Schön (Ed.), The reflective turn (pp. 37-62). New York: Teachers College Press.
-
(1990)
The reflective turn
, pp. 37-62
-
-
Bamberger, J.1
-
2
-
-
34047223244
-
Getting it wrong
-
Bamberger, J., and Ziporyn, E. (1992). Getting it wrong. The World of Music, 34(3), 22-56.
-
(1992)
The World of Music
, vol.34
, Issue.3
, pp. 22-56
-
-
Bamberger, J.1
Ziporyn, E.2
-
3
-
-
0003140571
-
Rational-number concepts
-
R. Lesh and M. Landau (Eds.), New York: Academic Press
-
Behr, M. J., Lesh, R., Post, T. R., and Silver, E. A. (1983). Rational-number concepts. In R. Lesh and M. Landau (Eds.), Acquisition of mathematics concepts and processes (pp. 91-126). New York: Academic Press.
-
(1983)
Acquisition of mathematics concepts and processes
, pp. 91-126
-
-
Behr, M.J.1
Lesh, R.2
Post, T.R.3
Silver, E.A.4
-
4
-
-
0037909713
-
Learning by understanding: The role of multiple representations in learning algebra
-
Brenner, M. E, Mayer, R. E., Moseley, B., Brar, T., Duran, R., Reed, B. S., and Webb, D. (1997). Learning by understanding: The role of multiple representations in learning algebra. American Educational Research Journal, 34(4), 663-689.
-
(1997)
American Educational Research Journal
, vol.34
, Issue.4
, pp. 663-689
-
-
Brenner, M.E.1
Mayer, R.E.2
Moseley, B.3
Brar, T.4
Duran, R.5
Reed, B.S.6
Webb, D.7
-
6
-
-
0035732454
-
Additive relations and function tables
-
Brizuela, B. M., and Lara-Roth, S. (2002). Additive relations and function tables. Journal of Mathematical Behavior, 20(3), 309-319.
-
(2002)
Journal of Mathematical Behavior
, vol.20
, Issue.3
, pp. 309-319
-
-
Brizuela, B.M.1
Lara-Roth, S.2
-
7
-
-
23844490908
-
Can young students operate on unknowns?
-
M. van der H.-P. (Ed.), Utrecht, the Netherlands: Freudenthal Institute
-
Carraher, D. W., Schliemann, A. D., and Brizuela, B. M. (2001). Can young students operate on unknowns? In M. van der H.-P. (Ed.), Proceedings of the 25th conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 130-140). Utrecht, the Netherlands: Freudenthal Institute.
-
(2001)
Proceedings of the 25th conference of the International Group for the Psychology of Mathematics Education
, vol.1
, pp. 130-140
-
-
Carraher, D.W.1
Schliemann, A.D.2
Brizuela, B.M.3
-
8
-
-
0242341007
-
From representations to symbolizing: Introductory comments on semiotics and mathematical learning
-
P. Cobb, P. E. Yackel, and K. McClain (Eds.), Mahwah, NJ: Lawrence Erlbaum Associates
-
Cobb, P. (2000). From representations to symbolizing: Introductory comments on semiotics and mathematical learning. In P. Cobb, P. E. Yackel, and K. McClain (Eds.), Symbolizing and communicating in mathematics classrooms. Perspectives on discourse, tools, and instructional design (pp. 17-36). Mahwah, NJ: Lawrence Erlbaum Associates.
-
(2000)
Symbolizing and communicating in mathematics classrooms. Perspectives on discourse, tools, and instructional design
, pp. 17-36
-
-
Cobb, P.1
-
9
-
-
85069996985
-
On different facets of mathematical thinking
-
R. J. Sternberg and T. Ben-Zeev (Eds.), Mahwah, NJ: Lawrence Erlbaum Associates
-
Dreyfus, T., and Eisenberg, T. (1996). On different facets of mathematical thinking. In R. J. Sternberg and T. Ben-Zeev (Eds.), The nature of mathematical thinking (pp. 253-284). Mahwah, NJ: Lawrence Erlbaum Associates.
-
(1996)
The nature of mathematical thinking
, pp. 253-284
-
-
Dreyfus, T.1
Eisenberg, T.2
-
10
-
-
0002836645
-
Drawing: Public instruments of representation
-
C. Pratt and A. F. Garton (Eds.), New York:Wiley
-
Freeman, N. (1993). Drawing: Public instruments of representation. In C. Pratt and A. F. Garton (Eds.), Systems of representation in children (pp. 113-132). New York:Wiley.
-
(1993)
Systems of representation in children
, pp. 113-132
-
-
Freeman, N.1
-
11
-
-
0032324617
-
Representational systems, learning, and problem solving in mathematics
-
Goldin, G. (1998). Representational systems, learning, and problem solving in mathematics. Journal of Mathematical Behavior, 17(2), 137-165.
-
(1998)
Journal of Mathematical Behavior
, vol.17
, Issue.2
, pp. 137-165
-
-
Goldin, G.1
-
12
-
-
0242340999
-
Systems of representations and the development of mathematical concepts
-
A. A. Cuoco and F. R. Curcio (Eds.), Reston, VA:National Council of Teachers of Mathematics
-
Goldin, G., and Shteingold, N. (2001). Systems of representations and the development of mathematical concepts. In A. A. Cuoco and F. R. Curcio (Eds.), The roles of representation in school mathematics. NCTM 2001 yearbook (pp. 1-23). Reston, VA:National Council of Teachers of Mathematics.
-
(2001)
The roles of representation in school mathematics. NCTM 2001 yearbook
, pp. 1-23
-
-
Goldin, G.1
Shteingold, N.2
-
15
-
-
0002307461
-
Notations and representations as mediators of constructive processes
-
E. von Glasersfeld (Ed.), Dordrecht, the Netherlands: Kluwer Academic
-
Kaput, J. (1991). Notations and representations as mediators of constructive processes. In E. von Glasersfeld (Ed.), Radical constructivism in mathematics education (pp. 53-74). Dordrecht, the Netherlands: Kluwer Academic.
-
(1991)
Radical constructivism in mathematics education
, pp. 53-74
-
-
Kaput, J.1
-
16
-
-
0002233217
-
The development of external symbol systems: The child as a notator
-
R. Gelman and T. Kit-Fong Au (Eds.), 2nd ed., San Diego, CA: Academic Press
-
Lee, K., and Karmiloff-Smith, A. (1996). The development of external symbol systems: The child as a notator. In R. Gelman and T. Kit-Fong Au (Eds.), Perceptual and cognitive development: Handbook of perception and cognition (2nd ed., pp. 185-211). San Diego, CA: Academic Press.
-
(1996)
Perceptual and cognitive development: Handbook of perception and cognition
, pp. 185-211
-
-
Lee, K.1
Karmiloff-Smith, A.2
-
17
-
-
0013064630
-
Model-based reasoning in mathematics and science
-
R. Glaser (Ed.), Mahwah, NJ: Lawrence Erlbaum Associates
-
Lehrer, R., and Schauble, L. (2000). Model-based reasoning in mathematics and science. In R. Glaser (Ed.), Advances in instructional psychology (Vol. 5, pp. 101-159). Mahwah, NJ: Lawrence Erlbaum Associates.
-
(2000)
Advances in instructional psychology
, vol.5
, pp. 101-159
-
-
Lehrer, R.1
Schauble, L.2
-
18
-
-
34250328164
-
El sistema de numeración: Un problema didáctico [The number system: A didactical problem]
-
C. Parra and I. Saiz (Eds.), Buenos Aires: Paidós
-
Lerner, D., and Sadovsky P. (1994). El sistema de numeración: Un problema didáctico [The number system: A didactical problem]. In C. Parra and I. Saiz (Eds.), Didáctica de matemáticas: Aportes y reflexiones (pp. 93-184). Buenos Aires: Paidós.
-
(1994)
Didáctica de matemáticas: Aportes y reflexiones
, pp. 93-184
-
-
Lerner, D.1
Sadovsky, P.2
-
19
-
-
0038601331
-
Más allá de las representaciones mentales: La adquisición de los sistemas externos de representación [Beyond mental representations:The acquisition of external systems of representation]
-
Martí, E., and Pozo, J. I. (2000). Más allá de las representaciones mentales: La adquisición de los sistemas externos de representación [Beyond mental representations:The acquisition of external systems of representation]. Infancia y aprendizaje, 90, 11-30.
-
(2000)
Infancia y aprendizaje
, vol.90
, pp. 11-30
-
-
Martí, E.1
Pozo, J.I.2
-
22
-
-
0001359384
-
On ways of symbolizing: The case of Laura and the velocity sign
-
Nemirovsky, R. (1994). On ways of symbolizing: The case of Laura and the velocity sign. Journal of Mathematical Behavior, 13, 389-422.
-
(1994)
Journal of Mathematical Behavior
, vol.13
, pp. 389-422
-
-
Nemirovsky, R.1
-
25
-
-
0038564111
-
Mathematics and being in the world: Toward an interpretive framework
-
Williams, S. R. (1993). Mathematics and being in the world: Toward an interpretive framework. For the Learning of Mathematics, 13(2), 2-7.
-
(1993)
For the Learning of Mathematics
, vol.13
, Issue.2
, pp. 2-7
-
-
Williams, S.R.1
-
26
-
-
21744449424
-
Designing representations: Reasoning about functions of two variables
-
Yerushalmy, M. (1997). Designing representations: Reasoning about functions of two variables. Journal for Research in Mathematics Education, 28, 431-466.
-
(1997)
Journal for Research in Mathematics Education
, vol.28
, pp. 431-466
-
-
Yerushalmy, M.1
|