-
1
-
-
0001311877
-
Splitting, similarity, and rate of change: A new approach to multiplication and exponential functions
-
Harel G., and Confrey J. (Eds), State University of New York Press, Albany, NY
-
Confrey J. Splitting, similarity, and rate of change: A new approach to multiplication and exponential functions. In: Harel G., and Confrey J. (Eds). The development of multiplicative reasoning (1994), State University of New York Press, Albany, NY 293-330
-
(1994)
The development of multiplicative reasoning
, pp. 293-330
-
-
Confrey, J.1
-
2
-
-
0000028397
-
Exponential functions, rates of change, and the multiplicative unit
-
Confrey J., and Smith E. Exponential functions, rates of change, and the multiplicative unit. Educational Studies in Mathematics 26 (1994) 135-164
-
(1994)
Educational Studies in Mathematics
, vol.26
, pp. 135-164
-
-
Confrey, J.1
Smith, E.2
-
3
-
-
21844504051
-
Splitting, covariation, and their role in the development of exponential functions
-
Confrey J., and Smith E. Splitting, covariation, and their role in the development of exponential functions. Journal for Research in Mathematics Education 26 (1995) 66-86
-
(1995)
Journal for Research in Mathematics Education
, vol.26
, pp. 66-86
-
-
Confrey, J.1
Smith, E.2
-
4
-
-
3843147658
-
Improper use of linear reasoning: An in-depth study of the nature and the irresistibility of secondary school students' errors
-
De Bock D., Van Dooren W., Janssens D., and Verschaffel L. Improper use of linear reasoning: An in-depth study of the nature and the irresistibility of secondary school students' errors. Educational Studies in Mathematics 50 (2002) 311-334
-
(2002)
Educational Studies in Mathematics
, vol.50
, pp. 311-334
-
-
De Bock, D.1
Van Dooren, W.2
Janssens, D.3
Verschaffel, L.4
-
5
-
-
54549127983
-
The predominance of the linear model in secondary school students' solutions of word problems involving length and area of similar plane figures
-
De Bock D., Verschaffel L., and Janssens D. The predominance of the linear model in secondary school students' solutions of word problems involving length and area of similar plane figures. Educational Studies in Mathematics 35 (1998) 65-83
-
(1998)
Educational Studies in Mathematics
, vol.35
, pp. 65-83
-
-
De Bock, D.1
Verschaffel, L.2
Janssens, D.3
-
6
-
-
0026900985
-
Varieties of numerical abilities
-
Dehaene S. Varieties of numerical abilities. Cognition 44 (1992) 1-42
-
(1992)
Cognition
, vol.44
, pp. 1-42
-
-
Dehaene, S.1
-
7
-
-
0001832021
-
Towards an anatomical and functional model of number processing
-
Dehaene S., and Cohen L. Towards an anatomical and functional model of number processing. Mathematical Cognition 1 (1995) 83-120
-
(1995)
Mathematical Cognition
, vol.1
, pp. 83-120
-
-
Dehaene, S.1
Cohen, L.2
-
8
-
-
38149005517
-
Learning of positive linear functions under two different feedback conditions
-
De Klerk L.F.W., Oppe S., and Truijens C.L. Learning of positive linear functions under two different feedback conditions. Acta Psychologica 36 (1972) 421-430
-
(1972)
Acta Psychologica
, vol.36
, pp. 421-430
-
-
De Klerk, L.F.W.1
Oppe, S.2
Truijens, C.L.3
-
9
-
-
0033400029
-
A theory of implicit and explicit knowledge
-
Dienes Z., and Perner J. A theory of implicit and explicit knowledge. Behavioral and Brain Sciences 22 (1999) 735-808
-
(1999)
Behavioral and Brain Sciences
, vol.22
, pp. 735-808
-
-
Dienes, Z.1
Perner, J.2
-
10
-
-
7444236035
-
Neurocognitive mechanisms underlying the experience of flow
-
Dietrich A. Neurocognitive mechanisms underlying the experience of flow. Consciousness and Cognition 13 (2004) 746-761
-
(2004)
Consciousness and Cognition
, vol.13
, pp. 746-761
-
-
Dietrich, A.1
-
11
-
-
33746210070
-
Examining the tasks of teaching when using students' mathematical thinking
-
Doerr H.M. Examining the tasks of teaching when using students' mathematical thinking. Educational Studies in Mathematics 62 (2006) 3-24
-
(2006)
Educational Studies in Mathematics
, vol.62
, pp. 3-24
-
-
Doerr, H.M.1
-
12
-
-
38149121459
-
-
Ebersbach, M., & Resing, W. C. M. (submitted for publication). Implicit and explicit knowledge of linear and exponential growth in 5- and 9-year-olds.
-
-
-
-
13
-
-
38149044924
-
-
Ebersbach, M., Van Dooren, W., & Resing, W. C. M. (submitted for publication). Understanding linear and exponential growth: Searching for the roots in 6- to 9-year-olds.
-
-
-
-
14
-
-
33847379311
-
Children's intuitive mathematics: The development of knowledge about non-linear growth
-
Ebersbach M., and Wilkening F. Children's intuitive mathematics: The development of knowledge about non-linear growth. Child Development 78 (2007) 296-308
-
(2007)
Child Development
, vol.78
, pp. 296-308
-
-
Ebersbach, M.1
Wilkening, F.2
-
17
-
-
0008785255
-
Intuitions and schemata in mathematical reasoning
-
Fischbein E. Intuitions and schemata in mathematical reasoning. Educational Studies in Mathematics 38 (1999) 11-50
-
(1999)
Educational Studies in Mathematics
, vol.38
, pp. 11-50
-
-
Fischbein, E.1
-
20
-
-
0037386535
-
Judgment and action knowledge in speed adjustment tasks: Experiments in a virtual environment
-
Huber S., Krist H., and Wilkening F. Judgment and action knowledge in speed adjustment tasks: Experiments in a virtual environment. Developmental Science 6 (2003) 197-210
-
(2003)
Developmental Science
, vol.6
, pp. 197-210
-
-
Huber, S.1
Krist, H.2
Wilkening, F.3
-
21
-
-
0018715274
-
A generalized polynomial model for perception of exponential series
-
Jones G.V. A generalized polynomial model for perception of exponential series. Perception and Psychophysics 25 (1979) 232-234
-
(1979)
Perception and Psychophysics
, vol.25
, pp. 232-234
-
-
Jones, G.V.1
-
22
-
-
0020816606
-
Cultural differences in the misperception of exponential growth
-
Keren G. Cultural differences in the misperception of exponential growth. Perception and Psychophysics 34 (1983) 289-293
-
(1983)
Perception and Psychophysics
, vol.34
, pp. 289-293
-
-
Keren, G.1
-
23
-
-
21144481457
-
Intuitive physics in action and judgment: The development of knowledge about projectile motion
-
Krist H., Fieberg E.L., and Wilkening F. Intuitive physics in action and judgment: The development of knowledge about projectile motion. Journal of Experimental Psychology: Learning, Memory, and Cognition 19 (1993) 952-966
-
(1993)
Journal of Experimental Psychology: Learning, Memory, and Cognition
, vol.19
, pp. 952-966
-
-
Krist, H.1
Fieberg, E.L.2
Wilkening, F.3
-
24
-
-
3242892883
-
Functional learning among children, adolescents, and young adults
-
Lafon P., Chasseigne G., and Mullet E. Functional learning among children, adolescents, and young adults. Journal of Experimental Child Psychology 88 (2004) 334-347
-
(2004)
Journal of Experimental Child Psychology
, vol.88
, pp. 334-347
-
-
Lafon, P.1
Chasseigne, G.2
Mullet, E.3
-
25
-
-
84970156708
-
Functions, graphs, and graphing: Tasks, learning and teaching
-
Leinhardt G., Zaslavsky O., and Stein M.K. Functions, graphs, and graphing: Tasks, learning and teaching. Review of Educational Research 60 (1990) 1-64
-
(1990)
Review of Educational Research
, vol.60
, pp. 1-64
-
-
Leinhardt, G.1
Zaslavsky, O.2
Stein, M.K.3
-
26
-
-
0033631234
-
Intuition: A social + cognitive neuroscience approach
-
Lieberman M.D. Intuition: A social + cognitive neuroscience approach. Psychological Bulletin 126 (2000) 109-137
-
(2000)
Psychological Bulletin
, vol.126
, pp. 109-137
-
-
Lieberman, M.D.1
-
27
-
-
0011692797
-
Feedback and the forecasting of exponential change
-
Mackinnon A.J., and Wearing A.J. Feedback and the forecasting of exponential change. Acta Psychologica 76 (1991) 177-191
-
(1991)
Acta Psychologica
, vol.76
, pp. 177-191
-
-
Mackinnon, A.J.1
Wearing, A.J.2
-
28
-
-
33847371398
-
Estimation of exponential expressions by high school students
-
Mullet E., and Cheminat Y. Estimation of exponential expressions by high school students. Contemporary Educational Psychology 20 (1995) 415-456
-
(1995)
Contemporary Educational Psychology
, vol.20
, pp. 415-456
-
-
Mullet, E.1
Cheminat, Y.2
-
30
-
-
0002972143
-
Tools for thought: The measurement of length and area
-
Nunes T., Light P., and Mason J. Tools for thought: The measurement of length and area. Learning and Instruction 3 (1993) 39-54
-
(1993)
Learning and Instruction
, vol.3
, pp. 39-54
-
-
Nunes, T.1
Light, P.2
Mason, J.3
-
32
-
-
33644754845
-
Understanding the concept of division: Assessment considerations
-
Parmar R.S. Understanding the concept of division: Assessment considerations. Exceptionality 11 (2003) 177-189
-
(2003)
Exceptionality
, vol.11
, pp. 177-189
-
-
Parmar, R.S.1
-
33
-
-
5644298608
-
Exact and approximate arithmetic in an Amazonian indigene group
-
Pica P., Lemer C., Izard V., and Dehaene S. Exact and approximate arithmetic in an Amazonian indigene group. Science 306 (2004) 499-503
-
(2004)
Science
, vol.306
, pp. 499-503
-
-
Pica, P.1
Lemer, C.2
Izard, V.3
Dehaene, S.4
-
34
-
-
0002112343
-
The relation between conceptual and procedural knowledge in learning mathematics: A review
-
Donlan C. (Ed), Psychology Press, East Sussex, UK
-
Rittle-Johnson B., and Siegler R.S. The relation between conceptual and procedural knowledge in learning mathematics: A review. In: Donlan C. (Ed). The development of mathematical skills (1998), Psychology Press, East Sussex, UK 75-110
-
(1998)
The development of mathematical skills
, pp. 75-110
-
-
Rittle-Johnson, B.1
Siegler, R.S.2
-
36
-
-
33644774742
-
Stability and change in children's division strategies
-
Robinson K.M., Arbuthnott K.D., Rose D., McCarron M.C., Globa C.A., and Phonexay S.D. Stability and change in children's division strategies. Journal of Experimental Child Psychology 93 (2006) 224-238
-
(2006)
Journal of Experimental Child Psychology
, vol.93
, pp. 224-238
-
-
Robinson, K.M.1
Arbuthnott, K.D.2
Rose, D.3
McCarron, M.C.4
Globa, C.A.5
Phonexay, S.D.6
-
37
-
-
33846244647
-
Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs. non-symbolic number magnitude processing
-
Rousselle L., and Noel M.P. Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs. non-symbolic number magnitude processing. Cognition 102 (2007) 361-395
-
(2007)
Cognition
, vol.102
, pp. 361-395
-
-
Rousselle, L.1
Noel, M.P.2
-
38
-
-
0002865694
-
Variation, selection, and cognitive change
-
Simon T.J., and Halford G.S. (Eds), Erlbaum, Hillsdale, NJ
-
Siegler R.S., and Shipley C. Variation, selection, and cognitive change. In: Simon T.J., and Halford G.S. (Eds). Developing cognitive competence: New approaches to process modeling (1995), Erlbaum, Hillsdale, NJ 31-76
-
(1995)
Developing cognitive competence: New approaches to process modeling
, pp. 31-76
-
-
Siegler, R.S.1
Shipley, C.2
-
39
-
-
0032253286
-
Conscious and unconscious strategy discoveries: A microgenetic analysis
-
Siegler R.S., and Stern E. Conscious and unconscious strategy discoveries: A microgenetic analysis. Journal of Experimental Psychology: General 127 (1998) 377-397
-
(1998)
Journal of Experimental Psychology: General
, vol.127
, pp. 377-397
-
-
Siegler, R.S.1
Stern, E.2
-
40
-
-
0036134198
-
The influence of sharing on children's initial concept of division
-
Squire S., and Bryant P. The influence of sharing on children's initial concept of division. Journal of Experimental Child Psychology 81 (2002) 1-43
-
(2002)
Journal of Experimental Child Psychology
, vol.81
, pp. 1-43
-
-
Squire, S.1
Bryant, P.2
-
41
-
-
0030497156
-
Measuring intuitive knowledge in science: The development of the what-if test
-
Swaak J., and de Jong T. Measuring intuitive knowledge in science: The development of the what-if test. Studies in Educational Evaluation 22 (1996) 341-362
-
(1996)
Studies in Educational Evaluation
, vol.22
, pp. 341-362
-
-
Swaak, J.1
de Jong, T.2
-
42
-
-
0017728102
-
Inverse statistics and misperception of exponential growth
-
Timmers H., and Wagenaar W.A. Inverse statistics and misperception of exponential growth. Perception & Psychophysics 21 (1977) 558-562
-
(1977)
Perception & Psychophysics
, vol.21
, pp. 558-562
-
-
Timmers, H.1
Wagenaar, W.A.2
-
43
-
-
34247529903
-
Availability: A heuristic for judging frequency and probability
-
Tversky A., and Kahneman D. Availability: A heuristic for judging frequency and probability. Cognitive Psychology 5 (1973) 207-232
-
(1973)
Cognitive Psychology
, vol.5
, pp. 207-232
-
-
Tversky, A.1
Kahneman, D.2
-
44
-
-
3843115620
-
The illusion of linearity: Expanding the evidence towards probabilistic reasoning
-
Van Dooren W., De Bock D., Depaepe F., Janssens D., and Verschaffel L. The illusion of linearity: Expanding the evidence towards probabilistic reasoning. Educational Studies in Mathematics 53 (2003) 113-138
-
(2003)
Educational Studies in Mathematics
, vol.53
, pp. 113-138
-
-
Van Dooren, W.1
De Bock, D.2
Depaepe, F.3
Janssens, D.4
Verschaffel, L.5
-
45
-
-
13844250410
-
Remedying secondary school students' illusion of linearity: A teaching experiment aiming at conceptual change
-
Van Dooren W., De Bock D., Hessels A., Janssens D., and Verschaffel L. Remedying secondary school students' illusion of linearity: A teaching experiment aiming at conceptual change. Learning and Instruction 14 (2004) 485-501
-
(2004)
Learning and Instruction
, vol.14
, pp. 485-501
-
-
Van Dooren, W.1
De Bock, D.2
Hessels, A.3
Janssens, D.4
Verschaffel, L.5
-
46
-
-
13944269902
-
Not everything is proportional: Effects of age and problem type on propensities for overgeneralisation
-
Van Dooren W., De Bock D., Hessels A., Janssens D., and Verschaffel L. Not everything is proportional: Effects of age and problem type on propensities for overgeneralisation. Cognition and Instruction 23 (2005) 57-86
-
(2005)
Cognition and Instruction
, vol.23
, pp. 57-86
-
-
Van Dooren, W.1
De Bock, D.2
Hessels, A.3
Janssens, D.4
Verschaffel, L.5
-
49
-
-
12944305268
-
Intuitive prediction of growth
-
Burkhardt D.F., and Ittelson W.H. (Eds), Plenum Press, New York
-
Wagenaar W.A., and Timmers H. Intuitive prediction of growth. In: Burkhardt D.F., and Ittelson W.H. (Eds). Environmental assessment of socioeconomic systems (1978), Plenum Press, New York 103-122
-
(1978)
Environmental assessment of socioeconomic systems
, pp. 103-122
-
-
Wagenaar, W.A.1
Timmers, H.2
-
50
-
-
49249152448
-
The pond-and-duckweed problem: Three experiments on the misperception of exponential growth
-
Wagenaar W.A., and Timmers H. The pond-and-duckweed problem: Three experiments on the misperception of exponential growth. Acta Psychologica 43 (1979) 239-251
-
(1979)
Acta Psychologica
, vol.43
, pp. 239-251
-
-
Wagenaar, W.A.1
Timmers, H.2
-
51
-
-
0026871924
-
Predictive and diagnostic learning within causal models: Asymmetries in cue competition
-
Waldmann M.R., and Holyoak K.J. Predictive and diagnostic learning within causal models: Asymmetries in cue competition. Journal of Experimental Psychology: General 121 (1992) 222-236
-
(1992)
Journal of Experimental Psychology: General
, vol.121
, pp. 222-236
-
-
Waldmann, M.R.1
Holyoak, K.J.2
-
52
-
-
0019559406
-
Integrating velocity, time, and distance information: A developmental study
-
Wilkening F. Integrating velocity, time, and distance information: A developmental study. Cognitive Psychology 13 (1981) 231-247
-
(1981)
Cognitive Psychology
, vol.13
, pp. 231-247
-
-
Wilkening, F.1
-
53
-
-
2142829646
-
How to speed up to be in time: Action-judgment dissociations in children and adults
-
Wilkening F., and Martin C. How to speed up to be in time: Action-judgment dissociations in children and adults. Swiss Journal of Psychology 63 (2004) 17-29
-
(2004)
Swiss Journal of Psychology
, vol.63
, pp. 17-29
-
-
Wilkening, F.1
Martin, C.2
|