-
1
-
-
84867371137
-
-
Septembe, Paper presented at an international workshop of the FWO scientific network on developing critical and flexible thinking: Use of (external) representations in mathematical and scientific reasoning and problem solving: Analysis and improvement. Leuven: FWO Scientific Network
-
Acevedo Nistal, A., Clarebout, G., Elen, J., Van Dooren, W., & Verschaffel, L. (2008, September). Representational flexibility in the domain of linear functions: A choice/no-choice study. Paper presented at an international workshop of the FWO scientific network on developing critical and flexible thinking: Use of (external) representations in mathematical and scientific reasoning and problem solving: Analysis and improvement. Leuven: FWO Scientific Network.
-
(2008)
Representational flexibility in the domain of linear functions: A choice/no-choice study
-
-
Acevedo Nistal, A.1
Clarebout, G.2
Elen, J.3
van Dooren, W.4
Verschaffel, L.5
-
3
-
-
0036115588
-
Examining the effects of different multiple representational systems in learning primary mathematics
-
doi:10.1207/S15327809JLS1101_2
-
Ainsworth, S., Bibby, P., & Wood, D. (2002). Examining the effects of different multiple representational systems in learning primary mathematics. Journal of the Learning Sciences, 11, 25-61. doi:10.1207/S15327809JLS1101_2.
-
(2002)
Journal of the Learning Sciences
, vol.11
, pp. 25-61
-
-
Ainsworth, S.1
Bibby, P.2
Wood, D.3
-
4
-
-
0013465911
-
Analysing the costs and benefits of multi-representational learning environments
-
In M. W. van Someren, P. Reimann, H. P. A. Boshuizen, & T. de Jong (Eds.),. Amsterdam: Pergamon
-
Ainsworth, S. E., Bibby, P. A., & Wood, D. J. (1998). Analysing the costs and benefits of multi-representational learning environments. In M. W. van Someren, P. Reimann, H. P. A. Boshuizen, & T. de Jong (Eds.), Learning with multiple representations (pp. 120-134). Amsterdam: Pergamon.
-
(1998)
Learning with multiple representations
, pp. 120-134
-
-
Ainsworth, S.E.1
Bibby, P.A.2
Wood, D.J.3
-
5
-
-
0000064913
-
A student's construction of transformations of functions in a multiple representational environment
-
doi:10.1007/BF00376325
-
Borba, M. C., & Confrey, J. (1996). A student's construction of transformations of functions in a multiple representational environment. Educational Studies in Mathematics, 31, 319-337. doi:10.1007/BF00376325.
-
(1996)
Educational Studies in Mathematics
, vol.31
, pp. 319-337
-
-
Borba, M.C.1
Confrey, J.2
-
6
-
-
0010904108
-
Unlocking conceptual learning in mathematics and science with effective representational systems
-
doi:10.1016/S0360-1315 (99)00028-7
-
Cheng, P. C. H. (2000). Unlocking conceptual learning in mathematics and science with effective representational systems. Computers & Education, 33, 109-130. doi:10.1016/S0360-1315 (99)00028-7.
-
(2000)
Computers & Education
, vol.33
, pp. 109-130
-
-
Cheng, P.C.H.1
-
7
-
-
0030216846
-
Function probe
-
doi:10.1145/232014.232036
-
Confrey, J., & Maloney, A. (1996). Function probe. Communications of the ACM, 39(8), 86-87. doi:10.1145/232014.232036.
-
(1996)
Communications of the ACM
, vol.39
, Issue.8
, pp. 86-87
-
-
Confrey, J.1
Maloney, A.2
-
8
-
-
0003638442
-
-
Unpublished doctoral dissertation, Department of Artificial Intelligence, University of Edinburgh, Scotland
-
Cox, R. (1996). Analytical reasoning with multiple external representations. Unpublished doctoral dissertation, Department of Artificial Intelligence, University of Edinburgh, Scotland.
-
(1996)
Analytical reasoning with multiple external representations
-
-
Cox, R.1
-
9
-
-
33750315476
-
Affect and meta-affect in mathematical problem-solving: A representational perspective
-
doi: 10.1007/s10649-006-9026-4
-
DeBellis, V. A., & Goldin, G. A. (2006). Affect and meta-affect in mathematical problem-solving: A representational perspective. Educational Studies in Mathematics, 63(2), 131-147. doi: 10.1007/s10649-006-9026-4.
-
(2006)
Educational Studies in Mathematics
, vol.63
, Issue.2
, pp. 131-147
-
-
DeBellis, V.A.1
Goldin, G.A.2
-
10
-
-
0013529485
-
Acquiring knowledge in science and math: The use of multiple representations in technology based learning environments
-
In M. W. van Someren, P. Reimann, H. P. A. Boshuizen, T. de Jong, et al. (Eds.),. Amsterdam: Pergamon
-
de Jong, T., Ainsworth, S., Dobson, M., van der Hulst, A., Levonen, J., & Reimann, P. (1998). Acquiring knowledge in science and math: The use of multiple representations in technology based learning environments. In M. W. van Someren, P. Reimann, H. P. A. Boshuizen, T. de Jong, et al. (Eds.), Learning with multiple representations (pp. 9-40). Amsterdam: Pergamon.
-
(1998)
Learning with multiple representations
, pp. 9-40
-
-
de Jong, T.1
Ainsworth, S.2
Dobson, M.3
van der Hulst, A.4
Levonen, J.5
Reimann, P.6
-
11
-
-
0002448259
-
Cognitive development
-
In A. Demetriou, W. Doise, & C. Van Lieshout (Eds.),. Chichester: Wiley
-
Demetriou, A. (1998). Cognitive development. In A. Demetriou, W. Doise, & C. Van Lieshout (Eds.), Life-span developmental psychology (pp. 179-270). Chichester: Wiley.
-
(1998)
Life-span developmental psychology
, pp. 179-270
-
-
Demetriou, A.1
-
12
-
-
0004228591
-
-
London: Anchor Press, Hutchinson Educational
-
Dienes, Z. P. (1960). Building up mathematics. London: Anchor Press, Hutchinson Educational.
-
(1960)
Building up mathematics
-
-
Dienes, Z.P.1
-
13
-
-
0000630791
-
Inventing graphing: Meta-representational expertise in children
-
diSessa, A. A., Hammer, D., Sherin, B., & Kolpakowski, T. (1991). Inventing graphing: Meta-representational expertise in children. Journal of Mathematical Behavior, 10, 117-160.
-
(1991)
Journal of Mathematical Behavior
, vol.10
, pp. 117-160
-
-
diSessa, A.A.1
Hammer, D.2
Sherin, B.3
Kolpakowski, T.4
-
15
-
-
33751114450
-
The cognitive analysis of problems of comprehension in the learning of mathematics
-
Duval, R. (2002). The cognitive analysis of problems of comprehension in the learning of mathematics. Mediterranean Journal for Research in Mathematics Education, 1(2), 1-16.
-
(2002)
Mediterranean Journal for Research in Mathematics Education
, vol.1
, Issue.2
, pp. 1-16
-
-
Duval, R.1
-
16
-
-
34047110643
-
Relations between secondary pupils' conceptions about functions and problem solving in different representations
-
Elia, I., Panaoura, A., Eracleous, A., & Gagatsis, A. (2007). Relations between secondary pupils' conceptions about functions and problem solving in different representations. International Journal of Science and Mathematics Education, 5, 533-556.
-
(2007)
International Journal of Science and Mathematics Education
, vol.5
, pp. 533-556
-
-
Elia, I.1
Panaoura, A.2
Eracleous, A.3
Gagatsis, A.4
-
17
-
-
84867391817
-
An empirical four-dimensional model for the understanding of function
-
In J. Novotná, H. Moraová, M. Krátká, & N. Stehlíková (Eds.),. Prague: Charles University
-
Elia, I., Panaoura, A., Gagatsis, A., Gravvani, K., & Spyrou, P. (2006). An empirical four-dimensional model for the understanding of function. In J. Novotná, H. Moraová, M. Krátká, & N. Stehlíková (Eds.), Proceedings of the 30th conference of the international group for the psychology of mathematics education, Vol. 3 (pp. 137-142). Prague: Charles University.
-
(2006)
Proceedings of the 30th conference of the international group for the psychology of mathematics education
, vol.3
, pp. 137-142
-
-
Elia, I.1
Panaoura, A.2
Gagatsis, A.3
Gravvani, K.4
Spyrou, P.5
-
18
-
-
0031528384
-
Strategy choice in sociocultural context
-
Ellis, S. (1997). Strategy choice in sociocultural context. Developmental Review, 17, 490-524.
-
(1997)
Developmental Review
, vol.17
, pp. 490-524
-
-
Ellis, S.1
-
19
-
-
0032336889
-
Factors involved in linking representations of functions
-
Even, R. (1998). Factors involved in linking representations of functions. Journal of Mathematical Behavior, 17, 105-121.
-
(1998)
Journal of Mathematical Behavior
, vol.17
, pp. 105-121
-
-
Even, R.1
-
20
-
-
72149086202
-
The nature of multiple representations in developing mathematical relationships
-
Gagatsis, A., Christou, C., & Elia, I. (2004). The nature of multiple representations in developing mathematical relationships. Quaderni di Ricerca in Didattica, 14, 150-159.
-
(2004)
Quaderni di Ricerca in Didattica
, vol.14
, pp. 150-159
-
-
Gagatsis, A.1
Christou, C.2
Elia, I.3
-
21
-
-
5644270369
-
Ability to translate from one representation of the concept of function to another and mathematical problem solving
-
Gagatsis, A., & Shiakalli, M. (2004). Ability to translate from one representation of the concept of function to another and mathematical problem solving. Educational Psychology, 24, 645-657.
-
(2004)
Educational Psychology
, vol.24
, pp. 645-657
-
-
Gagatsis, A.1
Shiakalli, M.2
-
23
-
-
0005662398
-
Affective pathways and representation in mathematical problem solving
-
Goldin, G. A. (2000). Affective pathways and representation in mathematical problem solving. Mathematical Thinking and Learning, 2(3), 209-219.
-
(2000)
Mathematical Thinking and Learning
, vol.2
, Issue.3
, pp. 209-219
-
-
Goldin, G.A.1
-
24
-
-
29444446399
-
Representation in school mathematics: A unifying research perspective
-
In J. Kilpatrick, W. Gary Martin, & D. Schifter (Eds.),. Reston, NJ: NCTM
-
Goldin, G. A. (2003). Representation in school mathematics: A unifying research perspective. In J. Kilpatrick, W. Gary Martin, & D. Schifter (Eds.), A research companion to principles and standards for school mathematics (pp. 275-285). Reston, NJ: NCTM.
-
(2003)
A research companion to principles and standards for school mathematics
, pp. 275-285
-
-
Goldin, G.A.1
-
25
-
-
33746215278
-
Evaluation of ERST-An external representation selection tutor
-
Stanford, CA, USA, June 28-30, 2006, proceedings, In D. Barker-Plummer, R. Cox, & N. Swoboda (Eds.),. New York: Springer
-
Grawemeyer, B. (2006). Evaluation of ERST-An external representation selection tutor. In D. Barker-Plummer, R. Cox, & N. Swoboda (Eds.), Diagrammatic representation and inference: 4th international conference, diagrams 2006, Stanford, CA, USA, June 28-30, 2006, proceedings (pp. 154-167). New York: Springer.
-
(2006)
Diagrammatic representation and inference: 4th international conference, diagrams 2006
, pp. 154-167
-
-
Grawemeyer, B.1
-
26
-
-
0000327148
-
Practicing representation: Learning with and about representational forms
-
Greeno, J. G., & Hall, R. P. (1997). Practicing representation: Learning with and about representational forms. Phi Delta Kappan, 78(5), 361-367.
-
(1997)
Phi Delta Kappan
, vol.78
, Issue.5
, pp. 361-367
-
-
Greeno, J.G.1
Hall, R.P.2
-
27
-
-
84867357404
-
-
Augus, Paper presented at the 6th conference of the European Association for Research on Learning and Instruction, Nijmegen, The Netherlands
-
Gruber, H., Graf, M., Mandl, H., Renkl, A., & Stark, R. (1995, August). Fostering applicable knowledge by multiple perspectives and guided problem solving. Paper presented at the 6th conference of the European Association for Research on Learning and Instruction, Nijmegen, The Netherlands.
-
(1995)
Fostering applicable knowledge by multiple perspectives and guided problem solving
-
-
Gruber, H.1
Graf, M.2
Mandl, H.3
Renkl, A.4
Stark, R.5
-
28
-
-
0001327730
-
Judging proportion with graphs: The summation model
-
Hollands, J. G., & Spence, I. (1998). Judging proportion with graphs: The summation model. Applied Cognitive Psychology, 12, 173-190.
-
(1998)
Applied Cognitive Psychology
, vol.12
, pp. 173-190
-
-
Hollands, J.G.1
Spence, I.2
-
29
-
-
0002827171
-
Technology and mathematics education
-
In D. A. Grouws (Ed.),. New York: Macmillan
-
Kaput, J. (1992). Technology and mathematics education. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 515-556). New York: Macmillan.
-
(1992)
Handbook of research on mathematics teaching and learning
, pp. 515-556
-
-
Kaput, J.1
-
30
-
-
84867340485
-
-
Augus, Paper presented at the 11th conference of the European Association for Research on Learning and Instruction, Nicosia, Cyprus
-
Kollöffel, B., de Jong, T., & Eysink, T. (2005, August). The effects of representational format in simulation-based inquiry learning. Paper presented at the 11th conference of the European Association for Research on Learning and Instruction, Nicosia, Cyprus.
-
(2005)
The effects of representational format in simulation-based inquiry learning
-
-
Kollöffel, B.1
de Jong, T.2
Eysink, T.3
-
31
-
-
84970156708
-
Functions, graphs, and graphing: Tasks, learning, and teaching
-
Leinhardt, G., Zaslavsky, O., & Stein, M. K. (1990). Functions, graphs, and graphing: Tasks, learning, and teaching. Review of Educational Research, 60, 1-64.
-
(1990)
Review of Educational Research
, vol.60
, pp. 1-64
-
-
Leinhardt, G.1
Zaslavsky, O.2
Stein, M.K.3
-
32
-
-
0002105757
-
Representations and translations among representations in mathematics learning and problem solving
-
In C. Janvier (Ed.),. Hillsdale, NY: Lawrence Erlbaum Associates, Inc
-
Lesh, R., Post, T., & Behr, M. (1987). Representations and translations among representations in mathematics learning and problem solving. In C. Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 33-40). Hillsdale, NY: Lawrence Erlbaum Associates, Inc.
-
(1987)
Problems of representation in the teaching and learning of mathematics
, pp. 33-40
-
-
Lesh, R.1
Post, T.2
Behr, M.3
-
33
-
-
84867357405
-
Strengths and weaknesses of the choice/no-choice method in research on strategy use
-
(in press)
-
Luwel, K., Torbeyns, J., Schillemans, V., Onghena, P., & Verschaffel, L. (in press). Strengths and weaknesses of the choice/no-choice method in research on strategy use. European Psychologist.
-
European Psychologist
-
-
Luwel, K.1
Torbeyns, J.2
Schillemans, V.3
Onghena, P.4
Verschaffel, L.5
-
34
-
-
0033741145
-
Performance with tables and graphs: Effects of training and a visual search model
-
Meyer, J. (2000). Performance with tables and graphs: Effects of training and a visual search model. Ergonomics, 43, 1840-1865.
-
(2000)
Ergonomics
, vol.43
, pp. 1840-1865
-
-
Meyer, J.1
-
35
-
-
0031171171
-
Multiple factors that determine performance with tables and graphs
-
Meyer, J., Shinar, D., & Leiser, D. (1997). Multiple factors that determine performance with tables and graphs. Human Factors: The Journal of the Human Factors and Ergonomics Society, 39, 268-286.
-
(1997)
Human Factors: The Journal of the Human Factors and Ergonomics Society
, vol.39
, pp. 268-286
-
-
Meyer, J.1
Shinar, D.2
Leiser, D.3
-
37
-
-
84867383296
-
The effects of multiple linked representations on students' learning of linear relationships
-
Ozgun-Koca, S. A. (2004). The effects of multiple linked representations on students' learning of linear relationships. Hacettepe Üniversitesi Eǧitim Fakültesi Dergisi, 26, 82-90.
-
(2004)
Hacettepe Üniversitesi Eǧitim Fakültesi Dergisi
, vol.26
, pp. 82-90
-
-
Ozgun-Koca, S.A.1
-
39
-
-
0031090024
-
Older and younger adults' strategy choices in multiplication: Testing predictions of ASCM using the choice/no-choice method
-
Siegler, R. S., & Lemaire, P. (1997). Older and younger adults' strategy choices in multiplication: Testing predictions of ASCM using the choice/no-choice method. Journal of Experimental Psychology: General, 126, 71-92.
-
(1997)
Journal of Experimental Psychology: General
, vol.126
, pp. 71-92
-
-
Siegler, R.S.1
Lemaire, P.2
-
40
-
-
0002335783
-
On understanding the notion of function
-
In E. Dubinsky & G. Harel (Eds.),. Washington, DC: The Mathematical Association of America
-
Sierpinska, A. (1992). On understanding the notion of function. In E. Dubinsky & G. Harel (Eds.), The concept of function: Aspects of epistemology and pedagogy (pp. 59-84). Washington, DC: The Mathematical Association of America.
-
(1992)
The concept of function: Aspects of epistemology and pedagogy
, pp. 59-84
-
-
Sierpinska, A.1
-
41
-
-
0002357161
-
Graphical displays in information systems: Some data properties influencing the effectiveness of alternative formats
-
Sparrow, J. A. (1989). Graphical displays in information systems: Some data properties influencing the effectiveness of alternative formats. Behaviour & Information Technology, 8, 43-56.
-
(1989)
Behaviour & Information Technology
, vol.8
, pp. 43-56
-
-
Sparrow, J.A.1
-
42
-
-
85065116939
-
Cognitive flexibility and hypertext: Theory and technology for the nonlinear and multidimensional traversal of complex subject matter
-
In D. Nix & R. Spiro (Eds.),. Hillsdale, NJ: Lawrence Erlbaum Associates
-
Spiro, R. J., & Jehng, J. C. (1990). Cognitive flexibility and hypertext: Theory and technology for the nonlinear and multidimensional traversal of complex subject matter. In D. Nix & R. Spiro (Eds.), Cognition, education, and multimedia: Exploring ideas in high technology (pp. 163-205). Hillsdale, NJ: Lawrence Erlbaum Associates.
-
(1990)
Cognition, education, and multimedia: Exploring ideas in high technology
, pp. 163-205
-
-
Spiro, R.J.1
Jehng, J.C.2
-
43
-
-
0037571618
-
Towards a theoretical account of strategy use and sense making in mathematical problem solving
-
In A. Ram & K. Eiselt (Eds.),. Hillsdale, NJ: Lawrence Erlbaum Associates
-
Tabachneck, H. J. M., Koedinger, K. R., & Nathan, M. J. (1994). Towards a theoretical account of strategy use and sense making in mathematical problem solving. In A. Ram & K. Eiselt (Eds.), 16th annual conference of the Cognitive Science Society (pp. 836-841). Hillsdale, NJ: Lawrence Erlbaum Associates.
-
(1994)
16th annual conference of the Cognitive Science Society
, pp. 836-841
-
-
Tabachneck, H.J.M.1
Koedinger, K.R.2
Nathan, M.J.3
-
45
-
-
33746210277
-
Active comparison as a means of promoting the development of abstract conditional knowledge and appropriate choice of diagrams in math word problem solving
-
In D. Barker-Plummer, R. Cox, & N. Swoboda (Eds.),. New York: Springer, Stanford, CA, USA, June 28-30, 2006, proceedings
-
Uesaka, Y., & Manalo, E. (2006). Active comparison as a means of promoting the development of abstract conditional knowledge and appropriate choice of diagrams in math word problem solving. In D. Barker-Plummer, R. Cox, & N. Swoboda (Eds.), Diagrammatic representation and inference: 4th international conference, diagrams 2006, Stanford, CA, USA, June 28-30, 2006, proceedings (pp. 181-195). New York: Springer.
-
(2006)
Diagrammatic representation and inference: 4th international conference, diagrams 2006
, pp. 181-195
-
-
Uesaka, Y.1
Manalo, E.2
-
46
-
-
70349630182
-
Conceptualizing, investigating, and enhancing adaptive expertise in elementary mathematics education
-
Verschaffel, L., Luwel, K., Torbeyns, J., & Van Dooren, W. (2009). Conceptualizing, investigating, and enhancing adaptive expertise in elementary mathematics education. European Journal of Psychology of Education, 24(3), 335-359.
-
(2009)
European Journal of Psychology of Education
, vol.24
, Issue.3
, pp. 335-359
-
-
Verschaffel, L.1
Luwel, K.2
Torbeyns, J.3
van Dooren, W.4
-
47
-
-
84985846653
-
Cognitive fit: A theory-based analysis of the graph versus tables literature
-
Vessey, I. (1991). Cognitive fit: A theory-based analysis of the graph versus tables literature. Decision Sciences, 22, 219-240.
-
(1991)
Decision Sciences
, vol.22
, pp. 219-240
-
-
Vessey, I.1
-
48
-
-
84867340488
-
-
Unpublished doctoral dissertation, Rutgers, The State University of New Jersey, New Brunswick
-
Warner, L. B. (2005). Behaviors that indicate mathematical flexible thought. Unpublished doctoral dissertation, Rutgers, The State University of New Jersey, New Brunswick.
-
(2005)
Behaviors that indicate mathematical flexible thought
-
-
Warner, L.B.1
-
49
-
-
0141986881
-
The influence of computer graphics on the recall of information
-
Watson, C. J., & Driver, R. W. (1983). The influence of computer graphics on the recall of information. MIS Quarterly, 7(1), 45-53.
-
(1983)
MIS Quarterly
, vol.7
, Issue.1
, pp. 45-53
-
-
Watson, C.J.1
Driver, R.W.2
-
50
-
-
0025180516
-
Proximity compatibility and information display: Effects of color, space and objectness on information integration
-
Wickens, C. D., & Andre, A. D. (1990). Proximity compatibility and information display: Effects of color, space and objectness on information integration. Human Factors, 32, 61-78.
-
(1990)
Human Factors
, vol.32
, pp. 61-78
-
-
Wickens, C.D.1
Andre, A.D.2
-
51
-
-
0003056662
-
Student perceptions of aspects of algebraic function using multiple representation software
-
Yerushalmy, M. (1991). Student perceptions of aspects of algebraic function using multiple representation software. Journal of Computer Assisted Learning, 7, 42-57.
-
(1991)
Journal of Computer Assisted Learning
, vol.7
, pp. 42-57
-
-
Yerushalmy, M.1
-
52
-
-
33750910699
-
Slower algebra students meet faster tools: Solving algebra word problems with graphing software
-
Yerushalmy, M. (2006). Slower algebra students meet faster tools: Solving algebra word problems with graphing software. Journal for Research in Mathematics Education, 37, 356-387.
-
(2006)
Journal for Research in Mathematics Education
, vol.37
, pp. 356-387
-
-
Yerushalmy, M.1
|