-
1
-
-
84908959608
-
The development of adaptive expertise and flexibility: The integration of conceptual and procedural knowledge
-
A. J. Baroody and A. Dowker (Eds.), Mahwah, NJ: Erlbaum
-
Baroody, A. J. (2003). The development of adaptive expertise and flexibility: The integration of conceptual and procedural knowledge. In A. J. Baroody & A. Dowker (Eds.), The development of arithmetic concepts and skills (pp. 1-33). Mahwah, NJ: Erlbaum.
-
(2003)
The Development of Arithmetic Concepts and Skills
, pp. 1-33
-
-
Baroody, A.J.1
-
2
-
-
84963145316
-
The development of the commutativity principle and economical addition strategies
-
Baroody, A. J., & Gannon, K. E. (1984). The development of the commutativity principle and economical addition strategies. Cognition and Instruction, 1, 321-329.
-
(1984)
Cognition and Instruction
, vol.1
, pp. 321-329
-
-
Baroody, A.J.1
Gannon, K.E.2
-
3
-
-
38949198927
-
Preschoolers' understanding of the addition-subtraction inversion principle: A Taiwanese sample
-
Baroody, A. J., & Lai, M. (2007). Preschoolers' understanding of the addition-subtraction inversion principle: A Taiwanese sample. Mathematical Thinking and Learning, 9, 131-171.
-
(2007)
Mathematical Thinking and Learning
, vol.9
, pp. 131-171
-
-
Baroody, A.J.1
Lai, M.2
-
4
-
-
67749110034
-
Preschoolers' understanding of subtraction-related principles
-
Baroody, A. J., Lai, M., Li, X., & Baroody, A. E. (2009). Preschoolers' understanding of subtraction-related principles. Mathematical Thinking and Learning, 11, 41-60.
-
(2009)
Mathematical Thinking and Learning
, vol.11
, pp. 41-60
-
-
Baroody, A.J.1
Lai, M.2
Li, X.3
Baroody, A.E.4
-
5
-
-
0002445611
-
Strategic and nonstrategic processing in the development of mathematical cognition
-
D. F. Bjorklund (Ed.), Hillsdale, NJ: Erlbaum
-
Bisanz, J., & LeFevre, J. (1990). Strategic and nonstrategic processing in the development of mathematical cognition. In D. F. Bjorklund (Ed.), Children's strategies: Contemporary views of cognitive development (pp. 213-244). Hillsdale, NJ: Erlbaum.
-
(1990)
Children's Strategies: Contemporary Views of Cognitive Development
, pp. 213-244
-
-
Bisanz, J.1
Lefevre, J.2
-
6
-
-
77956745294
-
Understanding elementary mathematics
-
J. I. D. Campbell (Ed.), Amsterdam: North Holland, Elsevier Science
-
Bisanz, J., & LeFevre, J. (1992). Understanding elementary mathematics. In J. I. D. Campbell (Ed.), The nature and origins of mathematical skills (pp. 113-136). Amsterdam: North Holland, Elsevier Science.
-
(1992)
The Nature and Origins of Mathematical Skills
, pp. 113-136
-
-
Bisanz, J.1
Lefevre, J.2
-
7
-
-
67749106229
-
On "understanding" children's developing use of inversion
-
Bisanz, J., Watchorn, R. P. D., Piatt, C., & Sherman, J. (2009). On "understanding" children's developing use of inversion. Mathematical Thinking and Learning, 11, 10-24.
-
(2009)
Mathematical Thinking and Learning
, vol.11
, pp. 10-24
-
-
Bisanz, J.1
Watchorn, R.P.D.2
Piatt, C.3
Sherman, J.4
-
8
-
-
0033226816
-
Children's understanding of the relation between addition and subtraction: Inversion, identity, and decomposition
-
Bryant, P., Christie, C., & Rendu, A. (1999). Children's understanding of the relation between addition and subtraction: Inversion, identity, and decomposition. Journal of Experimental Child Psychology, 74, 194-212.
-
(1999)
Journal of Experimental Child Psychology
, vol.74
, pp. 194-212
-
-
Bryant, P.1
Christie, C.2
Rendu, A.3
-
9
-
-
56549122795
-
Concept-procedure interactions in children's addition and subtraction
-
Canobi, K. H. (2009). Concept-procedure interactions in children's addition and subtraction. Journal of Experimental Child Psychology, 102, 131-149.
-
(2009)
Journal of Experimental Child Psychology
, vol.102
, pp. 131-149
-
-
Canobi, K.H.1
-
10
-
-
84868266019
-
Do they know what they are doing? Children's use of economical addition strategies and knowledge of commutativity
-
Cowan, R., & Renton, M. (1996). Do they know what they are doing? Children's use of economical addition strategies and knowledge of commutativity. Educational Psychology, 16, 407-420.
-
(1996)
Educational Psychology
, vol.16
, pp. 407-420
-
-
Cowan, R.1
Renton, M.2
-
11
-
-
78149499366
-
Accounting for individual variability in inversion shortcut use
-
Dubé, A. K., & Robinson, K. M. (2010a). Accounting for individual variability in inversion shortcut use. Learning and Individual Differences, 20, 687-693.
-
(2010)
Learning and Individual Differences
, vol.20
, pp. 687-693
-
-
Dubé, A.K.1
Robinson, K.M.2
-
12
-
-
77952593509
-
The relationship between adults' conceptual understanding of inversion and associativity
-
Dubé, A. K., & Robinson, K. M. (2010b). The relationship between adults' conceptual understanding of inversion and associativity. Canadian Journal of Experimental Psychology, 64, 60-66.
-
(2010)
Canadian Journal of Experimental Psychology
, vol.64
, pp. 60-66
-
-
Dubé, A.K.1
Robinson, K.M.2
-
14
-
-
0345060428
-
Automatic activation of multiplication facts: Evidence from the nodes adjacent to the product
-
Galfano, G., Rusconi, E., & Umilta, C. (2003). Automatic activation of multiplication facts: Evidence from the nodes adjacent to the product. Quarterly Journal of Experimental Psychology, 56A, 31-61.
-
(2003)
Quarterly Journal of Experimental Psychology
, vol.56 A
, pp. 31-61
-
-
Galfano, G.1
Rusconi, E.2
Umilta, C.3
-
15
-
-
67749133589
-
Patterns of individual differences in conceptual understanding and arithmetical skill: A meta-analysis
-
Gilmore, C. K., & Papadatou-Pastou, M. (2009). Patterns of individual differences in conceptual understanding and arithmetical skill: A meta-analysis. Mathematical Thinking and Learning, 11, 25-40.
-
(2009)
Mathematical Thinking and Learning
, vol.11
, pp. 25-40
-
-
Gilmore, C.K.1
Papadatou-Pastou, M.2
-
16
-
-
71649104467
-
Cultural differences in complex addition: Efficient Chinese versus adaptive Belgians and Canadians
-
Imbo, I., & LeFevre, J. (2009). Cultural differences in complex addition: Efficient Chinese versus adaptive Belgians and Canadians. Journal of Experimental Psychology: Learning, Memory, & Cognition, 35, 1465-1476.
-
(2009)
Journal of Experimental Psychology: Learning, Memory, & Cognition
, vol.35
, pp. 1465-1476
-
-
Imbo, I.1
Lefevre, J.2
-
18
-
-
0034199374
-
Preschoolers doing arithmetic: The concepts are willing but the working memory is weak
-
Klein, J. S., & Bisanz, J. (2000). Preschoolers doing arithmetic: The concepts are willing but the working memory is weak. Canadian Journal of Experimental Psychology, 54, 105-116.
-
(2000)
Canadian Journal of Experimental Psychology
, vol.54
, pp. 105-116
-
-
Klein, J.S.1
Bisanz, J.2
-
19
-
-
38949120146
-
Fostering Taiwanese preschoolers' understanding of the addition-subtraction inverse principle
-
Lai, M., Baroody, A. J., & Johnson, A. R. (2008). Fostering Taiwanese preschoolers' understanding of the addition-subtraction inverse principle. Cognitive Development, 23, 216-235.
-
(2008)
Cognitive Development
, vol.23
, pp. 216-235
-
-
Lai, M.1
Baroody, A.J.2
Johnson, A.R.3
-
20
-
-
1542504917
-
Multiple routes to solution of single-digit multiplication problems
-
LeFevre, J., Bisanz, J., Daley, K. E., Buffone, L., Greenham, S. L., & Sadesky, G. S. (1996). Multiple routes to solution of single-digit multiplication problems. Journal of Experimental Psychology: General, 125, 284-306.
-
(1996)
Journal of Experimental Psychology: General
, vol.125
, pp. 284-306
-
-
LeFevre, J.1
Bisanz, J.2
Daley, K.E.3
Buffone, L.4
Greenham, S.L.5
Sadesky, G.S.6
-
22
-
-
0141611967
-
Effects of problem format on division and multiplication facts: Division facts are mediated via multiplication-based representations
-
Mauro, D. G., LeFevre, J., & Morris, J. (2003). Effects of problem format on division and multiplication facts: Division facts are mediated via multiplication-based representations. Journal of Experimental Psychology: Learning, Memory, and Cognition, 29, 163-170.
-
(2003)
Journal of Experimental Psychology: Learning, Memory, and Cognition
, vol.29
, pp. 163-170
-
-
Mauro, D.G.1
Lefevre, J.2
Morris, J.3
-
23
-
-
0141988376
-
Developmental change and individual differences in children's multiplication
-
Mabbott, D. J., & Bisanz, J. (2003). Developmental change and individual differences in children's multiplication. Child Development, 74, 1091-1107.
-
(2003)
Child Development
, vol.74
, pp. 1091-1107
-
-
Mabbott, D.J.1
Bisanz, J.2
-
24
-
-
34248396379
-
U-shaped development in math: 7-year-olds outperform 9-year-olds on equivalence problems
-
McNeil, N. M. (2007). U-shaped development in math: 7-year-olds outperform 9-year-olds on equivalence problems. Developmental Psychology, 43, 687-695.
-
(2007)
Developmental Psychology
, vol.43
, pp. 687-695
-
-
McNeil, N.M.1
-
25
-
-
0003865799
-
-
National Council of Teachers of Mathematics, Reston, VA: NCTM
-
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
-
(2000)
Principles and Standards for School Mathematics
-
-
-
26
-
-
70449527451
-
The development of arithmetic principle knowledge: How do we know what learners know?
-
Prather, R. W., & Alibali, M. W. (2009). The development of arithmetic principle knowledge: How do we know what learners know? Developmental Review, 29, 221-248.
-
(2009)
Developmental Review
, vol.29
, pp. 221-248
-
-
Prather, R.W.1
Alibali, M.W.2
-
27
-
-
0030236105
-
Some tests of an identical elements model of basic arithmetic skills
-
Rickard, T. C., & Bourne, L. E., Jr. (1996). Some tests of an identical elements model of basic arithmetic skills. Journal of Experimental Psychology: Learning, Memory, and Cognition, 22, 1281-1295.
-
(1996)
Journal of Experimental Psychology: Learning, Memory, and Cognition
, vol.22
, pp. 1281-1295
-
-
Rickard, T.C.1
Bourne Jr., L.E.2
-
28
-
-
33644774742
-
Children's strategies for solving simple division problems
-
Robinson, K. M., Arbuthnott, K. D., Rose, D., McCarron, M. C., Globa, C. A., & Phonexay, S. D. (2006). Children's strategies for solving simple division problems. Journal of Experimental Child Psychology, 93, 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
-
30
-
-
67349132241
-
Children's understanding of addition and subtraction concepts
-
Robinson, K. M., & Dubé, A. K. (2009a). Children's understanding of addition and subtraction concepts. Journal of Experimental Child Psychology, 103, 532-545.
-
(2009)
Journal of Experimental Child Psychology
, vol.103
, pp. 532-545
-
-
Robinson, K.M.1
Dubé, A.K.2
-
31
-
-
70349611718
-
A microgenetic study of the multiplication and division inversion concept
-
Robinson, K. M., & Dubé, A. K. (2009b). A microgenetic study of the multiplication and division inversion concept. Canadian Journal of Experimental Psychology, 63, 193-200.
-
(2009)
Canadian Journal of Experimental Psychology
, vol.63
, pp. 193-200
-
-
Robinson, K.M.1
Dubé, A.K.2
-
32
-
-
67849087294
-
The multiplication and division inversion concept: Relationships between procedural, conceptual, and factual knowledge
-
Robinson, K. M., & Dubé, A. K. (2009c). The multiplication and division inversion concept: Relationships between procedural, conceptual, and factual knowledge. Cognitive Development, 24, 310-321.
-
(2009)
Cognitive Development
, vol.24
, pp. 310-321
-
-
Robinson, K.M.1
Dubé, A.K.2
-
34
-
-
0347588516
-
Adults' understanding of inversion concepts: How does performance on addition and subtraction inversion problems compare to performance on multiplication and division inversion problems?
-
Robinson, K. M., & Ninowski, J. E. (2003). Adults' understanding of inversion concepts: How does performance on addition and subtraction inversion problems compare to performance on multiplication and division inversion problems? Canadian Journal of Experimental Psychology, 57, 321-330.
-
(2003)
Canadian Journal of Experimental Psychology
, vol.57
, pp. 321-330
-
-
Robinson, K.M.1
Ninowski, J.E.2
-
35
-
-
33745969503
-
Children's understanding of the arithmetic concepts of inversion and associativity
-
Robinson, K. M., Ninowski, J. E., & Gray, M. L. (2006). Children's understanding of the arithmetic concepts of inversion and associativity. Journal of Experimental Child Psychology, 94, 349-362.
-
(2006)
Journal of Experimental Child Psychology
, vol.94
, pp. 349-362
-
-
Robinson, K.M.1
Ninowski, J.E.2
Gray, M.L.3
-
36
-
-
30344461305
-
Bidirectional links in the network of multiplication facts
-
Rusconi, E., Galfano, G., Rebonato, E., & Umilta, C. (2006). Bidirectional links in the network of multiplication facts. Psychological Research, 70, 32-42.
-
(2006)
Psychological Research
, vol.70
, pp. 32-42
-
-
Rusconi, E.1
Galfano, G.2
Rebonato, E.3
Umilta, C.4
-
37
-
-
84857058481
-
-
Saskatchewan Ministry of Education, Saskatchewan: Curriculum and E-Learning Branch
-
Saskatchewan Ministry of Education. (2008). Saskatchewan curriculum: Mathematics. Saskatchewan: Curriculum and E-Learning Branch.
-
(2008)
Saskatchewan Curriculum: Mathematics
-
-
-
38
-
-
34848874734
-
Evidence for use of mathematical inversion by three-year-old children
-
Sherman, J., & Bisanz, J. (2007). Evidence for use of mathematical inversion by three-year-old children. Journal of Cognition and Development, 8, 334-344.
-
(2007)
Journal of Cognition and Development
, vol.8
, pp. 334-344
-
-
Sherman, J.1
Bisanz, J.2
-
39
-
-
0011736201
-
SCADS: A model of children's strategy choices and strategy discoveries
-
Shrager, J., & Siegler, R. S. (1998). SCADS: A model of children's strategy choices and strategy discoveries. Psychological Science, 9, 405-410.
-
(1998)
Psychological Science
, vol.9
, pp. 405-410
-
-
Shrager, J.1
Siegler, R.S.2
-
40
-
-
26944466870
-
A computational model of conscious and unconscious strategy discovery
-
R. V. Kail (Ed.), New York, NY: Elsevier
-
Siegler, R. S., & Araya, R. (2005). A computational model of conscious and unconscious strategy discovery. In R. V. Kail (Ed.), Advances in child development and behaviour (Vol. 33) (pp. 1-42). New York, NY: Elsevier.
-
(2005)
Advances in Child Development and Behaviour
, vol.33
, pp. 1-42
-
-
Siegler, R.S.1
Araya, R.2
-
41
-
-
0002865694
-
Variation, selection, and cognitive change
-
T. Simon and G. Halford (Eds.), Hillsdale, NJ: Erlbaum
-
Siegler, R. S., & Shipley, C. (1995). Variation, selection, and cognitive change. In T. Simon & G. Halford (Eds.), Developing cognitive competence: New approaches to process modelling (pp. 31-76). Hillsdale, NJ: Erlbaum.
-
(1995)
Developing Cognitive Competence: New Approaches to Process Modelling
, pp. 31-76
-
-
Siegler, R.S.1
Shipley, C.2
-
42
-
-
0000360309
-
Strategy choices in addition and subtraction: How do children know what to do?
-
C. Sophian (Ed.), Hillsdale, NJ: Erlbaum
-
Siegler, R. S., & Shrager, J. (1984). Strategy choices in addition and subtraction: How do children know what to do? In C. Sophian (Ed.), The origins of cognitive skills (pp. 229-293). Hillsdale, NJ: Erlbaum.
-
(1984)
The Origins of Cognitive Skills
, pp. 229-293
-
-
Siegler, R.S.1
Shrager, J.2
-
43
-
-
0032253286
-
Conscious and unconscious strategy discoveries: A microgenetic analysis
-
Siegler, R. S., & Stern, E. (1998). Conscious and unconscious strategy discoveries: A microgenetic analysis. Journal of Experimental Psychology: General, 127, 377-397.
-
(1998)
Journal of Experimental Psychology: General
, vol.127
, pp. 377-397
-
-
Siegler, R.S.1
Stern, E.2
-
44
-
-
38249012377
-
Spontaneous use of conceptual mathematical knowledge in elementary school children
-
Stern, E. (1992). Spontaneous use of conceptual mathematical knowledge in elementary school children. Contemporary Educational Psychology, 17, 266-277.
-
(1992)
Contemporary Educational Psychology
, vol.17
, pp. 266-277
-
-
Stern, E.1
-
45
-
-
0030344692
-
The extension of the interference effect to multiplication
-
Thibodeau, M. H., LeFevre, J., & Bisanz, J. (1996). The extension of the interference effect to multiplication. Canadian Journal of Experimental Psychology, 50, 393-396.
-
(1996)
Canadian Journal of Experimental Psychology
, vol.50
, pp. 393-396
-
-
Thibodeau, M.H.1
Lefevre, J.2
Bisanz, J.3
-
46
-
-
33845302666
-
Development of children's strategy competencies in the number domain from 20 up to 100
-
Torbeyns, J., Verschaffel, L., & Ghesquière, P. (2006). Development of children's strategy competencies in the number domain from 20 up to 100. Cognition and Instruction, 24, 439-465.
-
(2006)
Cognition and Instruction
, vol.24
, pp. 439-465
-
-
Torbeyns, J.1
Verschaffel, L.2
Ghesquière, P.3
-
47
-
-
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, 24, 335-359.
-
(2009)
European Journal of Psychology
, vol.24
, pp. 335-359
-
-
Verschaffel, L.1
Luwel, K.2
Torbeyns, J.3
van Dooren, W.4
-
48
-
-
84857051128
-
-
(in press)
-
Watchorn, R. P. D., Bisanz, J., Fast, L., LeFevre, J., Skwarchuk, S. L., and Smith-Chant, B. L. (2011). Development of mathematical knowledge in young children: Attentional skill and the use of inversion (in press).
-
(2011)
Development of mathematical knowledge in young children: Attentional skill and the use of inversion
-
-
Watchorn, R.P.D.1
Bisanz, J.2
Fast, L.3
LeFevre, J.4
Skwarchuk, S.L.5
Smith-Chant, B.L.6
|