-
1
-
-
0001342011
-
Mental addition in third, fourth and sixth graders
-
Ashcraft, M. H., & Fierman, B. A. (1982). Mental addition in third, fourth and sixth graders. Journal of Experimental Child Psychology, 33, 216-234.
-
(1982)
Journal of Experimental Child Psychology
, vol.33
, pp. 216-234
-
-
Ashcraft, M.H.1
Fierman, B.A.2
-
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, 321-339.
-
(1984)
Cognition and Instruction
, vol.1
, pp. 321-339
-
-
Baroody, A.J.1
Gannon, K.E.2
-
3
-
-
85065689686
-
The relationship between initial meaningful and mechanical knowledge of arithmetic
-
J. Hiebert (Ed.). Hillsdale, NJ: Erlbaum
-
Baroody, A. J., & Ginsburg, H. P. (1986). The relationship between initial meaningful and mechanical knowledge of arithmetic. In J. Hiebert (Ed.), Conceptual and procedural knowledge of mathematics (pp. 75-112). Hillsdale, NJ: Erlbaum.
-
(1986)
Conceptual and Procedural Knowledge of Mathematics
, pp. 75-112
-
-
Baroody, A.J.1
Ginsburg, H.P.2
-
4
-
-
0040152590
-
Children's use of mathematical structure
-
Baroody, A. J., Ginsburg, H. P., & Waxman, B. (1983). Children's use of mathematical structure. Journal for Research in Mathematics Education, 14, 156-168.
-
(1983)
Journal for Research in Mathematics Education
, vol.14
, pp. 156-168
-
-
Baroody, A.J.1
Ginsburg, H.P.2
Waxman, B.3
-
5
-
-
24944541752
-
Addition and subtraction in the primary grades
-
R. J. Jensen (Ed.). New York: Macmillan
-
Baroody, A. J., & Standifer, D. J. (1992). Addition and subtraction in the primary grades. In R. J. Jensen (Ed.), Research ideas for the classroom (pp. 72-102). New York: Macmillan.
-
(1992)
Research Ideas for the Classroom
, pp. 72-102
-
-
Baroody, A.J.1
Standifer, D.J.2
-
6
-
-
0039561321
-
The development of children's understanding of additive commutativity: From protoquantitative concept to general concept?
-
in press. A. J. Baroody & A. Dowker (Eds.). Mahwah, NJ: Erlbaum
-
Baroody, A. J., Wilkins, J. L. M., & Tiilikainen, S. (in press). The development of children's understanding of additive commutativity: From protoquantitative concept to general concept? In A. J. Baroody & A. Dowker (Eds.), The development of arithmetic concepts and skills: Constructing adaptive expertise. Mahwah, NJ: Erlbaum.
-
The Development of Arithmetic Concepts and Skills: Constructing Adaptive Expertise
-
-
Baroody, A.J.1
Wilkins, J.L.M.2
Tiilikainen, S.3
-
7
-
-
77956745294
-
Understanding elementary mathematics
-
J. I. D. Campbell (Ed.). Amsterdam: Elsevier
-
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: Elsevier.
-
(1992)
The Nature and Origins of Mathematical Skills
, pp. 113-136
-
-
Bisanz, J.1
Lefevre, J.2
-
9
-
-
0001807521
-
On cognitive growth
-
J. S. Bruner, R. R. Olver, & P. M. Greenfield (Eds.). New York: Wiley
-
Bruner, J. S. (1966). On cognitive growth. In J. S. Bruner, R. R. Olver, & P. M. Greenfield (Eds.), Studies in cognitive growth (pp. 1-30). New York: Wiley.
-
(1966)
Studies in Cognitive Growth
, pp. 1-30
-
-
Bruner, J.S.1
-
11
-
-
0141852088
-
Mathematical understanding in the nursery school years
-
T. Nunes & P. Bryant (Eds.). Hove, East Sussex, England: Psychology Press
-
Bryant, P. (1996). Mathematical understanding in the nursery school years. In T. Nunes & P. Bryant (Eds.), Learning and teaching mathematics: An international perspective (pp. 53-67). Hove, East Sussex, England: Psychology Press.
-
(1996)
Learning and Teaching Mathematics: An International Perspective
, pp. 53-67
-
-
Bryant, P.1
-
12
-
-
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
-
13
-
-
0742289073
-
Individual differences in children's addition and subtraction knowledge
-
in press
-
Canobi, K. H. (in press). Individual differences in children's addition and subtraction knowledge. Cognitive Development.
-
Cognitive Development
-
-
Canobi, K.H.1
-
14
-
-
0032152187
-
The role of conceptual understanding in children's addition problem solving
-
Canobi, K. H., Reeve, R. A., & Pattison, P. E. (1998). The role of conceptual understanding in children's addition problem solving. Developmental Psychology, 34, 882-891.
-
(1998)
Developmental Psychology
, vol.34
, pp. 882-891
-
-
Canobi, K.H.1
Reeve, R.A.2
Pattison, P.E.3
-
15
-
-
0141628630
-
Young children's understanding of addition concepts
-
Canobi, K. H., Reeve, R. A., & Pattison, P. E. (2002). Young children's understanding of addition concepts. Educational Psychology, 22, 513-532.
-
(2002)
Educational Psychology
, vol.22
, pp. 513-532
-
-
Canobi, K.H.1
Reeve, R.A.2
Pattison, P.E.3
-
16
-
-
0001668714
-
The acquisition of addition and subtraction concepts in grades one through three
-
Carpenter, T. P., & Moser, J. M. (1984). The acquisition of addition and subtraction concepts in grades one through three. Journal for Research in Mathematics Education, 15, 179-202.
-
(1984)
Journal for Research in Mathematics Education
, vol.15
, pp. 179-202
-
-
Carpenter, T.P.1
Moser, J.M.2
-
17
-
-
0040634361
-
The effectiveness of instruction in cognitive strategies in developing proficiency in single-digit addition
-
Christensen, C. A., & Cooper, T. J. (1991). The effectiveness of instruction in cognitive strategies in developing proficiency in single-digit addition. Cognition and Instruction, 8, 363-371.
-
(1991)
Cognition and Instruction
, vol.8
, pp. 363-371
-
-
Christensen, C.A.1
Cooper, T.J.2
-
18
-
-
0141852092
-
An analysis of the relationships among computation-related skills using a hierarchical-clustering technique
-
Close, J. S., & Murtagh, F. (1986). An analysis of the relationships among computation-related skills using a hierarchical-clustering technique. Journal for Research in Mathematics Education, 17, 112-129.
-
(1986)
Journal for Research in Mathematics Education
, vol.17
, pp. 112-129
-
-
Close, J.S.1
Murtagh, F.2
-
19
-
-
0141517374
-
Preschoolers' grasp of commutativity
-
September, University of Nottingham, Nottingham, England
-
Cowan, R., & Ioakimidou, Z. (1999, September). Preschoolers' grasp of commutativity. Paper presented at the British Psychological Society Developmental Section Conference, University of Nottingham, Nottingham, England.
-
(1999)
British Psychological Society Developmental Section Conference
-
-
Cowan, R.1
Ioakimidou, Z.2
-
20
-
-
84868266019
-
Do they know what they are doing? Children's use of economic addition strategies and knowledge of commutativity
-
Cowan, R., & Renton, M. (1996). Do they know what they are doing? Children's use of economic 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
-
21
-
-
0000330758
-
Individual differences in normal arithmetical development
-
C. Donlan (Ed.). Hove, East Sussex, England: Psychology Press
-
Dowker, A. (1998). Individual differences in normal arithmetical development. In C. Donlan (Ed.), The development of mathematical skills (pp. 275-301). Hove, East Sussex, England: Psychology Press.
-
(1998)
The Development of Mathematical Skills
, pp. 275-301
-
-
Dowker, A.1
-
22
-
-
0008681432
-
Mental arithmetic: Training and retention of multiplication skill
-
C. Izawa (Ed.). Hillsdale, NJ: Erlbaum
-
Fendrich, D. W., Healy, A. F., & Bourne, L. E. (1993). Mental arithmetic: Training and retention of multiplication skill. In C. Izawa (Ed.), Cognitive psychology applied (pp. 116-133). Hillsdale, NJ: Erlbaum.
-
(1993)
Cognitive Psychology Applied
, pp. 116-133
-
-
Fendrich, D.W.1
Healy, A.F.2
Bourne, L.E.3
-
24
-
-
85092074005
-
An analysis of the counting-on procedure in addition
-
T. P. Carpenter & T. A. Romberg (Eds.). Hillsdale, NJ: Erlbaum
-
Fuson, K. C. (1982). An analysis of the counting-on procedure in addition. In T. P. Carpenter & T. A. Romberg (Eds.), Addition and subtraction: A cognitive perspective (pp. 67-82). Hillsdale, NJ: Erlbaum.
-
(1982)
Addition and Subtraction: A Cognitive Perspective
, pp. 67-82
-
-
Fuson, K.C.1
-
26
-
-
0000974589
-
Cognitive addition: Strategy choice and speed-of-processing differences in gifted, normal, and mathematically disabled children
-
Geary, D. C., & Brown, S. C. (1991). Cognitive addition: Strategy choice and speed-of-processing differences in gifted, normal, and mathematically disabled children. Developmental Psychology, 27, 398-406.
-
(1991)
Developmental Psychology
, vol.27
, pp. 398-406
-
-
Geary, D.C.1
Brown, S.C.2
-
27
-
-
2342665365
-
Cognitive addition: A short longitudinal study of strategy choice and speed-of-processing differences in normal and mathematically disabled children
-
Geary, D. C., Brown, S. C., & Samaranayake, V. A. (1991). Cognitive addition: A short longitudinal study of strategy choice and speed-of-processing differences in normal and mathematically disabled children. Developmental Psychology, 27, 787-797.
-
(1991)
Developmental Psychology
, vol.27
, pp. 787-797
-
-
Geary, D.C.1
Brown, S.C.2
Samaranayake, V.A.3
-
29
-
-
0013371197
-
Concepts and calculation
-
Giaquinto, M. (1995). Concepts and calculation. Mathematical Cognition, 1, 61-81.
-
(1995)
Mathematical Cognition
, vol.1
, pp. 61-81
-
-
Giaquinto, M.1
-
31
-
-
0011660396
-
Individual differences in practice functions and solution strategies for basic addition facts
-
Goldman, S. R., Mertz, D. L., & Pellegrino, J. W. (1989). Individual differences in practice functions and solution strategies for basic addition facts. Journal of Educational Psychology, 81, 481-496.
-
(1989)
Journal of Educational Psychology
, vol.81
, pp. 481-496
-
-
Goldman, S.R.1
Mertz, D.L.2
Pellegrino, J.W.3
-
32
-
-
84963295159
-
Extended practice of basic addition facts: Strategy changes in learning disabled students
-
Goldman, S. R., Pellegrino, J. W., & Mertz, D. L. (1988). Extended practice of basic addition facts: Strategy changes in learning disabled students. Cognition and Instruction, 5, 223-265.
-
(1988)
Cognition and Instruction
, vol.5
, pp. 223-265
-
-
Goldman, S.R.1
Pellegrino, J.W.2
Mertz, D.L.3
-
35
-
-
84909242682
-
Children's understanding of the uses of parentheses
-
April, New Orleans, LA
-
Hsieh, J., & Baroody, A. J. (2000, April). Children's understanding of the uses of parentheses. Round table presentation at the annual meeting of the American Educational Research Association, New Orleans, LA.
-
(2000)
Annual Meeting of the American Educational Research Association
-
-
Hsieh, J.1
Baroody, A.J.2
-
37
-
-
21844521945
-
Children's understanding of the principles of covariation and compensation in part-whole relationships
-
Irwin, K. C. (1996). Children's understanding of the principles of covariation and compensation in part-whole relationships. Journal for Research in Mathematics Education, 27, 25-40.
-
(1996)
Journal for Research in Mathematics Education
, vol.27
, pp. 25-40
-
-
Irwin, K.C.1
-
38
-
-
0141517373
-
A longitudinal study of children's understanding of logical laws in arithmetic and Boolean algebra
-
Langford, P. E. (1981). A longitudinal study of children's understanding of logical laws in arithmetic and Boolean algebra. Educational Psychology, 1, 119-139.
-
(1981)
Educational Psychology
, vol.1
, pp. 119-139
-
-
Langford, P.E.1
-
39
-
-
0026814238
-
Development of calculation abilities in young children
-
Levine, S. C., Jordan, N. C., & Huttenlocher, J. (1992). Development of calculation abilities in young children. Journal of Experimental Child Psychology, 53, 72-103.
-
(1992)
Journal of Experimental Child Psychology
, vol.53
, pp. 72-103
-
-
Levine, S.C.1
Jordan, N.C.2
Huttenlocher, J.3
-
41
-
-
0010185190
-
Mental chronometry and individual differences in cognitive processes: Common pitfalls and their solutions
-
Pellegrino, J. W., & Goldman, S. R. (1989). Mental chronometry and individual differences in cognitive processes: Common pitfalls and their solutions. Learning and Individual Differences, 1, 203-225.
-
(1989)
Learning and Individual Differences
, vol.1
, pp. 203-225
-
-
Pellegrino, J.W.1
Goldman, S.R.2
-
43
-
-
84963333609
-
Understanding of derived-fact strategies in addition and subtraction
-
Putnam, R. T., deBettencourt, L. U., & Leinhardt, G. (1990). Understanding of derived-fact strategies in addition and subtraction. Cognition and Instruction, 7, 245-285.
-
(1990)
Cognition and Instruction
, vol.7
, pp. 245-285
-
-
Putnam, R.T.1
DeBettencourt, L.U.2
Leinhardt, G.3
-
44
-
-
0141740495
-
The referential adequacy of student's visual analogies of fractions
-
Reeve, R. A., & Pattison, P. E. (1996). The referential adequacy of student's visual analogies of fractions. Mathematical Cognition, 2, 137-169.
-
(1996)
Mathematical Cognition
, vol.2
, pp. 137-169
-
-
Reeve, R.A.1
Pattison, P.E.2
-
46
-
-
0000268131
-
From protoquantities to operators: Building mathematical competence on a foundation of everyday knowledge
-
G. Leinhardt, R. Putnam, & R. A. Hattrup (Eds.). Hillsdale, NJ: Erlbaum
-
Resnick, L. B. (1992). From protoquantities to operators: Building mathematical competence on a foundation of everyday knowledge. In G. Leinhardt, R. Putnam, & R. A. Hattrup (Eds.), Analysis of arithmetic for mathematics teaching (Vol. 19, pp. 275-323). Hillsdale, NJ: Erlbaum.
-
(1992)
Analysis of Arithmetic for Mathematics Teaching
, vol.19
, pp. 275-323
-
-
Resnick, L.B.1
-
47
-
-
0002054970
-
Situated rationalism: Biological and social preparation for learning
-
L. A. Hirschfeld & S. A. Gelman (Eds.). Cambridge, England: Cambridge University Press
-
Resnick, L. B. (1994). Situated rationalism: Biological and social preparation for learning. In L. A. Hirschfeld & S. A. Gelman (Eds.), Mapping the mind: Domain-specificity in cognition and culture (pp. 474-493). Cambridge, England: Cambridge University Press.
-
(1994)
Mapping the Mind: Domain-specificity in Cognition and Culture
, pp. 474-493
-
-
Resnick, L.B.1
-
49
-
-
0002714678
-
Learning to understand arithmetic
-
R. Glaser (Ed.). Hillsdale, NJ: Erlbaum
-
Resnick, L. B., & Omanson, S. F. (1987). Learning to understand arithmetic. In R. Glaser (Ed.), Advances in instructional psychology (Vol. 3, pp. 41-95). Hillsdale, NJ: Erlbaum.
-
(1987)
Advances in Instructional Psychology
, vol.3
, pp. 41-95
-
-
Resnick, L.B.1
Omanson, S.F.2
-
50
-
-
0033084379
-
Conceptual and procedural knowledge of mathematics: Does one lead to the other?
-
Rittle-Johnson, B., & Alibali, M. W. (1999). Conceptual and procedural knowledge of mathematics: Does one lead to the other? Journal of Educational Psychology, 91, 175-189.
-
(1999)
Journal of Educational Psychology
, vol.91
, pp. 175-189
-
-
Rittle-Johnson, B.1
Alibali, M.W.2
-
51
-
-
0002112343
-
The relation between conceptual and procedural knowledge in learning mathematics: A review
-
C. Donlan (Ed.). Hove, England: Psychology Press/Taylor & Francis
-
Rittle-Johnson, B., & Siegler, R. S. (1998). The relation between conceptual and procedural knowledge in learning mathematics: A review. In C. Donlan (Ed.), The development of mathematical skills (pp. 75-110). Hove, England: Psychology Press/Taylor & Francis.
-
(1998)
The Development of Mathematical Skills
, pp. 75-110
-
-
Rittle-Johnson, B.1
Siegler, R.S.2
-
52
-
-
0035602865
-
Developing conceptual understanding and procedural skill in mathematics: An iterative process
-
Rittle-Johnson, B., Siegler, R. S., & Alibali, M. W. (2001). Developing conceptual understanding and procedural skill in mathematics: An iterative process. Journal of Educational Psychology, 93, 346-362.
-
(2001)
Journal of Educational Psychology
, vol.93
, pp. 346-362
-
-
Rittle-Johnson, B.1
Siegler, R.S.2
Alibali, M.W.3
-
53
-
-
0000933783
-
The perils of averaging data over strategies: An example from children's addition
-
Siegler, R. S. (1987). The perils of averaging data over strategies: An example from children's addition. Journal of Experimental Psychology: General, 116, 250-264.
-
(1987)
Journal of Experimental Psychology: General
, vol.116
, pp. 250-264
-
-
Siegler, R.S.1
-
54
-
-
0024060179
-
Individual differences in strategy choices: Good students, not-so-good students, and perfectionists
-
Siegler, R. S. (1988). Individual differences in strategy choices: Good students, not-so-good students, and perfectionists. Child Development, 59, 833-851.
-
(1988)
Child Development
, vol.59
, pp. 833-851
-
-
Siegler, R.S.1
-
56
-
-
0028520408
-
Constraints on learning in nonprivileged domains
-
Siegler, R. S., & Crowley, K. (1994). Constraints on learning in nonprivileged domains. Cognitive Psychology, 27, 194-226.
-
(1994)
Cognitive Psychology
, vol.27
, pp. 194-226
-
-
Siegler, R.S.1
Crowley, K.2
-
58
-
-
0020021236
-
The development of numerical understandings
-
H. W. Reese & L. P. Lipsitt (Eds.). New York: Academic Press
-
Siegler, R. S., & Robinson, M. (1982). The development of numerical understandings. In H. W. Reese & L. P. Lipsitt (Eds.), Advances in child development and behaviour (pp. 241-312). New York: Academic Press.
-
(1982)
Advances in Child Development and Behaviour
, pp. 241-312
-
-
Siegler, R.S.1
Robinson, M.2
-
59
-
-
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.), Origins of cognitive skills (pp. 229-293). Hillsdale, NJ: Erlbaum.
-
(1984)
Origins of Cognitive Skills
, pp. 229-293
-
-
Siegler, R.S.1
Shrager, J.2
-
60
-
-
0141852090
-
Cognitive representations and processes in arithmetic: Inferences from the performance of brain-damaged subjects
-
Sokol, S. M., McClosky, M., Cohen, N. J., & Aliminosa, D. (1991). Cognitive representations and processes in arithmetic: Inferences from the performance of brain-damaged subjects. Journal of Experimental Psychology: Learning, Memory, and Cognition, 4, 856-865.
-
(1991)
Journal of Experimental Psychology: Learning, Memory, and Cognition
, vol.4
, pp. 856-865
-
-
Sokol, S.M.1
McClosky, M.2
Cohen, N.J.3
Aliminosa, D.4
-
61
-
-
0004255788
-
-
Dubuque, IA: Brown & Benchmark
-
Sophian, C. (1995). Children's numbers. Dubuque, IA: Brown & Benchmark.
-
(1995)
Children's Numbers
-
-
Sophian, C.1
-
62
-
-
0031185021
-
Beyond competence: The significance of performance for conceptual development
-
Sophian, C. (1997). Beyond competence: The significance of performance for conceptual development. Cognitive Development, 12, 281-303.
-
(1997)
Cognitive Development
, vol.12
, pp. 281-303
-
-
Sophian, C.1
-
63
-
-
0141852089
-
Relational and representational aspects of early number development
-
Sophian, C., Harley, H., & Martin, C. S. M. (1995). Relational and representational aspects of early number development. Cognition and Instruction, 13, 253-268.
-
(1995)
Cognition and Instruction
, vol.13
, pp. 253-268
-
-
Sophian, C.1
Harley, H.2
Martin, C.S.M.3
-
64
-
-
0009902336
-
Instruction of derived facts strategies in addition and subtraction
-
Steinberg, R. M. (1985). Instruction of derived facts strategies in addition and subtraction. Journal for Research in Mathematics Education, 16, 337-358.
-
(1985)
Journal for Research in Mathematics Education
, vol.16
, pp. 337-358
-
-
Steinberg, R.M.1
|