-
1
-
-
38949198927
-
Preschoolers' understanding of the addition-subtraction inverse principle: A Taiwanese sample
-
Baroody, A. J., & Lai, M.-L. (2007). Preschoolers' understanding of the addition-subtraction inverse 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.-L.2
-
2
-
-
33847045271
-
Development of mathematical strategies and procedures up to 100
-
M. Beishuizen, K. P. E. Gravemeijer, and ECDMLieshoutvan (Eds.), Utrecht: Beta
-
Beishuizen, M. (1997). Development of mathematical strategies and procedures up to 100. In M. Beishuizen, K. P. E. Gravemeijer, & E. C. D. M. van Lieshout (Eds.), The role of contexts and models in the development of mathematical strategies and procedures (pp. 127-162). Utrecht: Beta.
-
(1997)
The Role of Contexts and Models in the Development of Mathematical Strategies and Procedures
, pp. 127-162
-
-
Beishuizen, M.1
-
3
-
-
0010121866
-
Child-methods in secondary mathematics
-
Booth, L. R. (1981). Child-methods in secondary mathematics. Educational Studies in Mathematics, 12, 29-41.
-
(1981)
Educational Studies in Mathematics
, vol.12
, pp. 29-41
-
-
Booth, L.R.1
-
5
-
-
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
-
6
-
-
64349092903
-
-
Paper 2. Understanding whole numbers. Available from
-
Bryant, P., & Nunes, T. (2009) Key understandings in mathematics learning. Paper 2. Understanding whole numbers. Available from: http://www. nuffieldfoundation. org/fileLibrary/pdf/P2. pdf.
-
(2009)
Key understandings in mathematics learning
-
-
Bryant, P.1
Nunes, T.2
-
7
-
-
0003027491
-
The development of addition and subtraction problem solving
-
T. P. Carpenter, J. M. Moser, and T. A. Romberg (Eds.), Hillsdale, NJ: Lawrence Erlbaum
-
Carpenter, T. P., & Moser, J. M. (1982). The development of addition and subtraction problem solving. In T. P. Carpenter, J. M. Moser, & T. A. Romberg (Eds.), Addition and subtraction: A cognitive perspective (pp. 10-24). Hillsdale, NJ: Lawrence Erlbaum.
-
(1982)
Addition and Subtraction: A Cognitive Perspective
, pp. 10-24
-
-
Carpenter, T.P.1
Moser, J.M.2
-
8
-
-
0001227656
-
Operational efficiency and the growth of short-term memory span
-
Case, R., Kurland, M., & Goldberg, J. (1982). Operational efficiency and the growth of short-term memory span. Journal of Experimental Child Psychology, 33(3), 386-404.
-
(1982)
Journal of Experimental Child Psychology
, vol.33
, Issue.3
, pp. 386-404
-
-
Case, R.1
Kurland, M.2
Goldberg, J.3
-
9
-
-
0040466779
-
Young children's addition estimates
-
Dowker, A. D. (1997). Young children's addition estimates. Mathematical Cognition, 3, 141-154.
-
(1997)
Mathematical Cognition
, vol.3
, pp. 141-154
-
-
Dowker, A.D.1
-
10
-
-
0037832405
-
Explicitly teaching for transfer: Effects on third-grade students' mathematical problem solving
-
Fuchs, L. S., Fuchs, D., Prentice, K., Burch, M., Hamlett, C. L., Owen, R., et al. (2003). Explicitly teaching for transfer: Effects on third-grade students' mathematical problem solving. Journal of Educational Psychology, 95, 293-305.
-
(2003)
Journal of Educational Psychology
, vol.95
, pp. 293-305
-
-
Fuchs, L.S.1
Fuchs, D.2
Prentice, K.3
Burch, M.4
Hamlett, C.L.5
Owen, R.6
-
12
-
-
84963486674
-
Conceptual structures for multiunit numbers: Implications for learning and teaching multidigit addition, subtraction, and place value
-
Fuson, K. C. (1990). Conceptual structures for multiunit numbers: Implications for learning and teaching multidigit addition, subtraction, and place value. Cognition and Instruction, 7, 343-403.
-
(1990)
Cognition and Instruction
, vol.7
, pp. 343-403
-
-
Fuson, K.C.1
-
13
-
-
0346412578
-
Subtracting by counting up: More evidence
-
Fuson, K. C., & Willis, G. B. (1988). Subtracting by counting up: More evidence. Journal for Research in Mathematics Education, 19(5), 402-420.
-
(1988)
Journal for Research in Mathematics Education
, vol.19
, Issue.5
, pp. 402-420
-
-
Fuson, K.C.1
Willis, G.B.2
-
14
-
-
33744522327
-
Investigating children's understanding of inversion using the missing number paradigm
-
Gilmore, C. K. (2006). Investigating children's understanding of inversion using the missing number paradigm. Cognitive Development, 21, 301-316.
-
(2006)
Cognitive Development
, vol.21
, pp. 301-316
-
-
Gilmore, C.K.1
-
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
-
-
0008797922
-
-
Windsor: NFER-Nelson
-
Hart, K., Brown, M., Kerslake, D., Kuchermann, D., & Ruddock, G. (1985). Chelsea diagnostic mathematics tests. Fractions 1. Windsor: NFER-Nelson.
-
(1985)
Chelsea Diagnostic Mathematics Tests. Fractions 1
-
-
Hart, K.1
Brown, M.2
Kerslake, D.3
Kuchermann, D.4
Ruddock, G.5
-
17
-
-
22044436458
-
The empty number line in Dutch second grades: Realistic versus gradual program design
-
Klein, A. S., Beishuizen, M., & Treffers, A. (1998). The empty number line in Dutch second grades: Realistic versus gradual program design. Journal for Research in Mathematics Education, 29, 443-464.
-
(1998)
Journal for Research in Mathematics Education
, vol.29
, pp. 443-464
-
-
Klein, A.S.1
Beishuizen, M.2
Treffers, A.3
-
18
-
-
38949120146
-
Fostering Taiwanese preschoolers' understanding of the addition-subtraction inverse principle
-
Lai, M.-L., 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.-L.1
Baroody, A.J.2
Johnson, A.R.3
-
20
-
-
67749120437
-
Teaching children about the inverse relation between addition and subtraction
-
Nunes, T., Bryant, P., Hallett, D., Bell, D., & Evans, D. (2009). Teaching children about the inverse relation between addition and subtraction. Mathematical Thinking and Learning, 11, 61-78.
-
(2009)
Mathematical Thinking and Learning
, vol.11
, pp. 61-78
-
-
Nunes, T.1
Bryant, P.2
Hallett, D.3
Bell, D.4
Evans, D.5
-
21
-
-
78650339225
-
-
(No. Research Report DCSF-RR118). London: Department for Children, Schools and Families. Available from
-
Nunes, T., Bryant, P., Sylva, K., & Barros, R. (2009). Development of maths capabilities and confidence in primary school (No. Research Report DCSF-RR118). London: Department for Children, Schools and Families. Available from: http://publications. dcsf. gov. uk/eOrderingDownload/DCSF-RB118. pdf.
-
(2009)
Development of maths capabilities and confidence in primary school
-
-
Nunes, T.1
Bryant, P.2
Sylva, K.3
Barros, R.4
-
24
-
-
0002814286
-
Development of children's problem solving ability in arithmetic
-
H. Ginsburg (Ed.), New York: Academic
-
Riley, M., Greeno, J. G., & Heller, J. I. (1983). Development of children's problem solving ability in arithmetic. In H. Ginsburg (Ed.), The development of mathematical thinking (pp. 153-196). New York: Academic.
-
(1983)
The Development of Mathematical Thinking
, pp. 153-196
-
-
Riley, M.1
Greeno, J.G.2
Heller, J.I.3
-
25
-
-
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
-
26
-
-
0032395415
-
Cognitive architecture and instructional design
-
Sweller, J., van Merrienboer, J. J. G., & Paas, F. G. W. C. (1998). Cognitive architecture and instructional design. Educational Psychology Review, 10, 251-296.
-
(1998)
Educational Psychology Review
, vol.10
, pp. 251-296
-
-
Sweller, J.1
van Merrienboer, J.J.G.2
Paas, F.G.W.C.3
-
27
-
-
0010424734
-
Quantitative reasoning, complexity, and additive structures
-
Thompson, P. W. (1993). Quantitative reasoning, complexity, and additive structures. Educational Studies in Mathematics, 3, 165-208.
-
(1993)
Educational Studies in Mathematics
, vol.3
, pp. 165-208
-
-
Thompson, P.W.1
-
28
-
-
67749127479
-
Solving subtraction problems by means of indirect addition
-
Torbeyns, J., Smedt, B. D., Stassens, N., Ghesquière, P., & Verschaffel, L. (2009). Solving subtraction problems by means of indirect addition. Mathematical Thinking and Learning, 11, 79-91.
-
(2009)
Mathematical Thinking and Learning
, vol.11
, pp. 79-91
-
-
Torbeyns, J.1
Smedt, B.D.2
Stassens, N.3
Ghesquière, P.4
Verschaffel, L.5
-
29
-
-
34250265491
-
The acquisition of arithmetical concepts
-
Vergnaud, G. (1979). The acquisition of arithmetical concepts. Educational Studies in Mathematics, 10, 263-274.
-
(1979)
Educational Studies in Mathematics
, vol.10
, pp. 263-274
-
-
Vergnaud, G.1
-
30
-
-
0002579295
-
A classification of cognitive tasks and operations of thought involved in addition and subtraction problems
-
T. P. Carpenter, J. M. Moser, and T. A. Romberg (Eds.), Hillsdale: Lawrence Erlbaum
-
Vergnaud, G. (1982). A classification of cognitive tasks and operations of thought involved in addition and subtraction problems. In T. P. Carpenter, J. M. Moser, & T. A. Romberg (Eds.), Addition and subtraction: A cognitive perspective (pp. 60-67). Hillsdale: Lawrence Erlbaum.
-
(1982)
Addition and Subtraction: A Cognitive Perspective
, pp. 60-67
-
-
Vergnaud, G.1
|