-
1
-
-
0020776462
-
Perception of numerical invariance in neonates
-
Antell, S. E., & Keating, D. P. (1983). Perception of numerical invariance in neonates. Child Development, 54, 695-701.
-
(1983)
Child Development
, vol.54
, pp. 695-701
-
-
Antell, S.E.1
Keating, D.P.2
-
2
-
-
0026902617
-
Cognitive arithmetic: A review of data and theory
-
Ashcraft, M. H. (1992). Cognitive arithmetic: A review of data and theory. Cognition, 44, 75-106.
-
(1992)
Cognition
, vol.44
, pp. 75-106
-
-
Ashcraft, M.H.1
-
3
-
-
0030559597
-
Integrity in teaching: Recognizing the fusion of the moral and intellectual
-
Ball, D., & Wilson, S. M. (1996). Integrity in teaching: Recognizing the fusion of the moral and intellectual. American Educational Research Journal, 33(1), 155-192.
-
(1996)
American Educational Research Journal
, vol.33
, Issue.1
, pp. 155-192
-
-
Ball, D.1
Wilson, S.M.2
-
4
-
-
0004201621
-
-
Cambridge, MA: Cambridge University Press
-
Baron, J. (1988). Thinking and deciding. Cambridge, MA: Cambridge University Press.
-
(1988)
Thinking and Deciding
-
-
Baron, J.1
-
5
-
-
0002990396
-
The relationship between initial meaningful and mechanical knowledge of arithmetic
-
J. Hiebert (Ed.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
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: The case of mathematics (pp. 99-126). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
(1986)
Conceptual and Procedural Knowledge: the Case of Mathematics
, pp. 99-126
-
-
Baroody, A.J.1
Ginsburg, H.P.2
-
6
-
-
0002540715
-
Rational number, ratio, and proportion
-
D. A. Grouws (Ed.), New York: Macmillan
-
Behr, M. J., Harel, G., Post, T. R., & Lesh, R. (1992). Rational number, ratio, and proportion. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 296-333). New York: Macmillan.
-
(1992)
Handbook of Research on Mathematics Teaching and Learning
, pp. 296-333
-
-
Behr, M.J.1
Harel, G.2
Post, T.R.3
Lesh, R.4
-
7
-
-
0001857784
-
Rational numbers: Toward a semantic analysis-emphasis on the operator construct
-
T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
Behr, M. J., Harel, G., Post, T. R., & Lesh, R. (1993). Rational numbers: Toward a semantic analysis-emphasis on the operator construct. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 13-47). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 13-47
-
-
Behr, M.J.1
Harel, G.2
Post, T.R.3
Lesh, R.4
-
8
-
-
0003140571
-
Rational number concepts
-
R. Lesh & M. Landau (Eds.) New York: Academic Press
-
Behr, M. J., Lesh, R., Post, T. R., & Silver, E. (1983). Rational number concepts. In R. Lesh & M. Landau (Eds.) Acquisition of mathematical concepts and processes (pp. 92-127). New York: Academic Press.
-
(1983)
Acquisition of Mathematical Concepts and Processes
, pp. 92-127
-
-
Behr, M.J.1
Lesh, R.2
Post, T.R.3
Silver, E.4
-
9
-
-
0034204153
-
Representing quantity beyond whole numbers, some, none, and part
-
Bialystok, E., & Codd, J. (2000). Representing quantity beyond whole numbers, some, none, and part. Canadian Journal of Experimental Psychology, 54(2), 117-128.
-
(2000)
Canadian Journal of Experimental Psychology
, vol.54
, Issue.2
, pp. 117-128
-
-
Bialystok, E.1
Codd, J.2
-
10
-
-
0000390794
-
A featural analysis of preschooler's counting knowledge
-
Briars, D. J., & Siegler, R. S. (1984). A featural analysis of preschooler's counting knowledge. Developmental Psychology, 20, 607-618.
-
(1984)
Developmental Psychology
, vol.20
, pp. 607-618
-
-
Briars, D.J.1
Siegler, R.S.2
-
11
-
-
0039264144
-
Identifying fractions on number lines
-
Bright, G. W., Behr, M. J., Post, T. R., & Wachsmuth, I. (1988). Identifying fractions on number lines. Journal for Research in Mathematics Education, 19(3), 215-232.
-
(1988)
Journal for Research in Mathematics Education
, vol.19
, Issue.3
, pp. 215-232
-
-
Bright, G.W.1
Behr, M.J.2
Post, T.R.3
Wachsmuth, I.4
-
12
-
-
0017294290
-
Spontaneous measurement by young children
-
Bryant, P., & Kopytynska, H. (1976). Spontaneous measurement by young children. Nature, 260, 773.
-
(1976)
Nature
, vol.260
, pp. 773
-
-
Bryant, P.1
Kopytynska, H.2
-
13
-
-
15944424946
-
-
Cambridge, MA: MIT Press
-
Carey, S. (1985). Conceptual change. Cambridge, MA: MIT Press.
-
(1985)
Conceptual Change
-
-
Carey, S.1
-
14
-
-
11844289102
-
On the very possibility of discontinuities in conceptual development
-
E. Dupoux (Ed.), Cambridge, MA: MIT Press
-
Carey, S. (2001). On the very possibility of discontinuities in conceptual development. In E. Dupoux (Ed.), Language, brain, and cognitive development: Essays in honor of Jacques Mehler (pp. 303-324). Cambridge, MA: MIT Press.
-
(2001)
Language, Brain, and Cognitive Development: Essays in Honor of Jacques Mehler
, pp. 303-324
-
-
Carey, S.1
-
16
-
-
0001668714
-
The acquisition of addition and subtraction concepts in grade one through three
-
Carpenter, T. P., & Moser, J. M. (1984). The acquisition of addition and subtraction concepts in grade 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
-
-
77956763565
-
Cognitive biases: Their contribution for understanding human cognitive processes
-
J-P. Caverni, J-M. Fabre, & M. Gonzales (Eds.), Amsterdam, The Netherlands: North-Holland
-
Caverni, J-P., Fabre, J-M., & Gonzalez, M. (1990). Cognitive biases: Their contribution for understanding human cognitive processes. In J-P. Caverni, J-M. Fabre, & M. Gonzales (Eds.), Cognitive biases (pp. 7-12). Amsterdam, The Netherlands: North-Holland.
-
(1990)
Cognitive Biases
, pp. 7-12
-
-
Caverni, J.-P.1
Fabre, J.-M.2
Gonzalez, M.3
-
20
-
-
0007317826
-
Identification of multiplicative thinking in children in grade 1-5
-
Clark, B. F., & Kamii, C. (1996). Identification of multiplicative thinking in children in grade 1-5. Journal for Research in Mathematics Education, 27, 41-51.
-
(1996)
Journal for Research in Mathematics Education
, vol.27
, pp. 41-51
-
-
Clark, B.F.1
Kamii, C.2
-
21
-
-
0040675335
-
Number versus length in infants' discrimination of small visual sets
-
Clearfield, M. W., & Mix, K. (1999). Number versus length in infants' discrimination of small visual sets. Psychological Science, 10, 408-411.
-
(1999)
Psychological Science
, vol.10
, pp. 408-411
-
-
Clearfield, M.W.1
Mix, K.2
-
22
-
-
0001311877
-
Splitting, similarity, and rate of change: A new approach to multiplication and exponential
-
G. Harel & G. Confrey (Eds.), Albany, NY: State University of New York Press
-
Confrey, G. (1994). Splitting, similarity, and rate of change: A new approach to multiplication and exponential. In G. Harel & G. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 291-330). Albany, NY: State University of New York Press.
-
(1994)
The Development of Multiplicative Reasoning in the Learning of Mathematics
, pp. 291-330
-
-
Confrey, G.1
-
23
-
-
0009258736
-
The object sources of the concept of fraction
-
V. V. Davydov (Soviet Edition Editor) & L. P. Steffe (English Language Editor), Reston, VA: National Council of Teachers of Mathematics
-
Davydov, V. V., & Tsvetkovich, Z. H. (1991). The object sources of the concept of fraction. In V. V. Davydov (Soviet Edition Editor) & L. P. Steffe (English Language Editor), Soviet studies in mathematics education: Psychological abilities of primary school children in learning mathematics (pp. 86-147). Reston, VA: National Council of Teachers of Mathematics.
-
(1991)
Soviet Studies in Mathematics Education: Psychological Abilities of Primary School Children in Learning Mathematics
, pp. 86-147
-
-
Davydov, V.V.1
Tsvetkovich, Z.H.2
-
24
-
-
0026900985
-
Varieties of numerical abilities
-
Dehaene, S. (1992). Varieties of numerical abilities. Cognition, 44, 1-42.
-
(1992)
Cognition
, vol.44
, pp. 1-42
-
-
Dehaene, S.1
-
25
-
-
0004069989
-
-
New York: Oxford University Press
-
Dehaene, S. (1997). The number sense. New York: Oxford University Press.
-
(1997)
The Number Sense
-
-
Dehaene, S.1
-
26
-
-
0025938710
-
Two mental calculation systems: A case study of severe acalculia with preserved approximation
-
Dehaene, S., & Cohen, L. (1991). Two mental calculation systems: A case study of severe acalculia with preserved approximation. Neuropsychologia, 29, 1045-1074.
-
(1991)
Neuropsychologia
, vol.29
, pp. 1045-1074
-
-
Dehaene, S.1
Cohen, L.2
-
27
-
-
0032146302
-
Abstract representations of numbers in the animal and human brain
-
Dehaene, S., Dehaene-Lambertz, G., & Cohen, L. (1998). Abstract representations of numbers in the animal and human brain. Trends Neuroscience, 21, 355-361.
-
(1998)
Trends Neuroscience
, vol.21
, pp. 355-361
-
-
Dehaene, S.1
Dehaene-Lambertz, G.2
Cohen, L.3
-
28
-
-
0033532353
-
Sources of mathematical thinking: Behavioral and brain-imaging evidence
-
May 7
-
Dehaene, S., Spelke, E., Pinel, P., Stanescu, R., & Tsivkin, S. (1999, May 7). Sources of mathematical thinking: Behavioral and brain-imaging evidence. Science, 248, 970-974.
-
(1999)
Science
, vol.248
, pp. 970-974
-
-
Dehaene, S.1
Spelke, E.2
Pinel, P.3
Stanescu, R.4
Tsivkin, S.5
-
29
-
-
0010015258
-
Pedagogical considerations concerning the problem of representation
-
C. Janvier (Ed.). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
Dufour-Janvier, B., Bednarz, N., & Belanger, M. (1987). Pedagogical considerations concerning the problem of representation. In C. Janvier (Ed.). Problems of representation in the teaching and learning mathematics (pp. 109-122). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
(1987)
Problems of Representation in the Teaching and Learning Mathematics
, pp. 109-122
-
-
Dufour-Janvier, B.1
Bednarz, N.2
Belanger, M.3
-
30
-
-
0008851846
-
Equal sharing and shared meaning: The development of fraction concepts in a first-grade classroom
-
Empson, S. B. (1999). Equal sharing and shared meaning: The development of fraction concepts in a first-grade classroom. Cognition and Instruction, 17, 283-342.
-
(1999)
Cognition and Instruction
, vol.17
, pp. 283-342
-
-
Empson, S.B.1
-
32
-
-
0003672777
-
-
Hove, England: Lawrence Erlbaum Associates, Inc.
-
Evans, J. St. B. T. (1989). Bias in human reasoning. Hove, England: Lawrence Erlbaum Associates, Inc.
-
(1989)
Bias in Human Reasoning
-
-
Evans, J.St.B.T.1
-
33
-
-
0026949139
-
The internal representation of arithmetical word problem sentences: Frontal and posterior-injured patients compared
-
Fasotti, L., Eling, P. A., & Bremer, J. J (1992). The internal representation of arithmetical word problem sentences: Frontal and posterior-injured patients compared. Brain Cognition, 20, 245-263.
-
(1992)
Brain Cognition
, vol.20
, pp. 245-263
-
-
Fasotti, L.1
Eling, P.A.2
Bremer, J.J.3
-
34
-
-
0036481546
-
Infants' discrimination of number vs. continuous extent
-
Feigenson, L., Carey, S., & Spelke, E. (2002). Infants' discrimination of number vs. continuous extent. Cognitive Psychology, 44, 33-66.
-
(2002)
Cognitive Psychology
, vol.44
, pp. 33-66
-
-
Feigenson, L.1
Carey, S.2
Spelke, E.3
-
35
-
-
0004213512
-
-
Cambridge, MA: Bradford Books, MIT Press
-
Fodor, J. (1983). The modularity of mind. Cambridge, MA: Bradford Books, MIT Press.
-
(1983)
The Modularity of Mind
-
-
Fodor, J.1
-
38
-
-
0009899268
-
Learning addition and subtraction: Effects of number words and other cultural tools
-
J. Bideaud, C. Meljac, & J. P. Fischer (Eds.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
Fuson, K. C. (1992). Learning addition and subtraction: Effects of number words and other cultural tools. In J. Bideaud, C. Meljac, & J. P. Fischer (Eds.), Pathways to number: Children's developing numerical abilities (pp. 283-306). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
(1992)
Pathways to Number: Children's Developing Numerical Abilities
, pp. 283-306
-
-
Fuson, K.C.1
-
41
-
-
0006827809
-
The module: Crisis of a paradigm
-
Fuster, J. M. (2000). The module: Crisis of a paradigm. Neuron, 26, 51-53.
-
(2000)
Neuron
, vol.26
, pp. 51-53
-
-
Fuster, J.M.1
-
42
-
-
0026902355
-
Preverbal and verbal counting and computation
-
Gallistel, C. R., & Gelman, R. (1992). Preverbal and verbal counting and computation. Cognition, 44, 43-74.
-
(1992)
Cognition
, vol.44
, pp. 43-74
-
-
Gallistel, C.R.1
Gelman, R.2
-
43
-
-
0034266051
-
What do infants know about continuous quantity?
-
Gao, F., Levine, S. C., & Huttenlocher, J. (2000). What do infants know about continuous quantity? Journal of Experimental Child Psychology, 77, 20-29.
-
(2000)
Journal of Experimental Child Psychology
, vol.77
, pp. 20-29
-
-
Gao, F.1
Levine, S.C.2
Huttenlocher, J.3
-
45
-
-
0002258366
-
Epigenetic foundations of knowledge structures: Initial and transcendent constructions
-
S. Carey & R. Gelman (Eds.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
Gelman, R. (1991). Epigenetic foundations of knowledge structures: Initial and transcendent constructions. In S. Carey & R. Gelman (Eds.), The epigenesis of mind: Essays on biology and cognition (pp. 293-322). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
(1991)
The Epigenesis of Mind: Essays on Biology and Cognition
, pp. 293-322
-
-
Gelman, R.1
-
46
-
-
0000867846
-
A review of Piaget's concepts
-
P. H. Mussen (Ed.), New York: John Wiley & Son
-
Gelman, R., & Bailargeon, R. (1983). A review of Piaget's concepts. In P. H. Mussen (Ed.), Handbook of child psychology: Vol. 3. (pp. 167-230). New York: John Wiley & Son.
-
(1983)
Handbook of Child Psychology
, vol.3
, pp. 167-230
-
-
Gelman, R.1
Bailargeon, R.2
-
48
-
-
0020758965
-
Preschoolers' counting: Principles before skill
-
Gelman, R., & Meck, E. (1983). Preschoolers' counting: Principles before skill. Cognition, 13, 343-360.
-
(1983)
Cognition
, vol.13
, pp. 343-360
-
-
Gelman, R.1
Meck, E.2
-
49
-
-
0002906728
-
The notion of principle: The case of counting
-
J. Hiebert (Ed.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
Gelman, R., & Meck, E. (1986). The notion of principle: The case of counting. In J. Hiebert (Ed.), Conceptual and procedural knowledge: The case of mathematics (pp. 29-57). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
(1986)
Conceptual and Procedural Knowledge: the Case of Mathematics
, pp. 29-57
-
-
Gelman, R.1
Meck, E.2
-
50
-
-
0029900105
-
The psychology of good judgment: Frequency formats and simple algorithms
-
Gigerenzer, G. (1996). The psychology of good judgment: Frequency formats and simple algorithms. Journal of Medical Decision Making, 16, 273-280.
-
(1996)
Journal of Medical Decision Making
, vol.16
, pp. 273-280
-
-
Gigerenzer, G.1
-
51
-
-
0001878380
-
Ecological intelligence: An adaptation for frequencies
-
D. D. Cummins & C. Allen (Eds.), New York: Oxford University Press
-
Gigerenzer, G. (1998). Ecological intelligence: An adaptation for frequencies. In D. D. Cummins & C. Allen (Eds.), The evolution of mind (pp. 9-29). New York: Oxford University Press.
-
(1998)
The Evolution of Mind
, pp. 9-29
-
-
Gigerenzer, G.1
-
52
-
-
11944267218
-
How to improve Bayesian reasoning without instruction: Frequency formats
-
Gigerenzer, G., & Hoffrage, U. (1995). How to improve Bayesian reasoning without instruction: Frequency formats. Psychological Review, 102, 684-704.
-
(1995)
Psychological Review
, vol.102
, pp. 684-704
-
-
Gigerenzer, G.1
Hoffrage, U.2
-
53
-
-
85015532914
-
Relational complexity and the development of analogical reasoning
-
Goswami, U. (1989). Relational complexity and the development of analogical reasoning. Cognitive Development, 96, 229-241.
-
(1989)
Cognitive Development
, vol.96
, pp. 229-241
-
-
Goswami, U.1
-
54
-
-
21844481106
-
Learning processes in cognitive development: A reassessment with some unexpected implications
-
Halford, G. S. (1995). Learning processes in cognitive development: A reassessment with some unexpected implications. Human Development, 38, 295-301.
-
(1995)
Human Development
, vol.38
, pp. 295-301
-
-
Halford, G.S.1
-
55
-
-
0000527765
-
Early understanding of numbers: Paths or barriers to the construction of new understandings?
-
Hartnett, P., & Gelman, R. (1998). Early understanding of numbers: Paths or barriers to the construction of new understandings? Learning and Instruction, 8(4), 341-374.
-
(1998)
Learning and Instruction
, vol.8
, Issue.4
, pp. 341-374
-
-
Hartnett, P.1
Gelman, R.2
-
57
-
-
0000233359
-
Fourth graders' gradual construction of decimal fractions during instruction using different physical representation
-
Hiebert, J., Wearne, D., & Taber, S. (1991). Fourth graders' gradual construction of decimal fractions during instruction using different physical representation. The Elementary School Journal, 91, 321-342.
-
(1991)
The Elementary School Journal
, vol.91
, pp. 321-342
-
-
Hiebert, J.1
Wearne, D.2
Taber, S.3
-
60
-
-
0028503325
-
A mental, model for early arithmetic
-
Huttenlocher, J., Jordan, N., & Levine, S. C. (1994). A mental, model for early arithmetic. Journal of Experimental Psychology: General, 123, 284-296.
-
(1994)
Journal of Experimental Psychology: General
, vol.123
, pp. 284-296
-
-
Huttenlocher, J.1
Jordan, N.2
Levine, S.C.3
-
61
-
-
0003314423
-
Equivalent fractions: Their difficulty and educational implications
-
Kamii, C., & Clark, F. B. (1995). Equivalent fractions: Their difficulty and educational implications. Journal of Mathematical Behavior, 14, 365-378.
-
(1995)
Journal of Mathematical Behavior
, vol.14
, pp. 365-378
-
-
Kamii, C.1
Clark, F.B.2
-
62
-
-
0022742831
-
From metaprocesses to conscious access: Evidence from children's metalinguistic and repair data
-
Karmiloff-Smith, A. (1986). From metaprocesses to conscious access: Evidence from children's metalinguistic and repair data. Cognition, 23, 95-147.
-
(1986)
Cognition
, vol.23
, pp. 95-147
-
-
Karmiloff-Smith, A.1
-
65
-
-
0002439843
-
On the mathematical, cognitive, and instructional foundations of rational numbers
-
R. Lesh (Ed.), Columbus, OH: Eric/SMEAC
-
Kieren, T. E. (1976). On the mathematical, cognitive, and instructional foundations of rational numbers. In R. Lesh (Ed.), Number and measurement (pp. 101-150). Columbus, OH: Eric/SMEAC.
-
(1976)
Number and Measurement
, pp. 101-150
-
-
Kieren, T.E.1
-
66
-
-
0002358189
-
Rational and fractional numbers: From quotient fields to recursive understanding
-
T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
Kieren, T. E. (1993). Rational and fractional numbers: From quotient fields to recursive understanding. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 49 - 84). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 49-84
-
-
Kieren, T.E.1
-
67
-
-
0008755771
-
Multiple views of multiplicative reasoning
-
G. Harel & G. Confrey (Eds.), Albany, NY: State University of New York Press
-
Kieren, T. E. (1994). Multiple views of multiplicative reasoning. In G. Harel & G. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 387-397). Albany, NY: State University of New York Press.
-
(1994)
The Development of Multiplicative Reasoning in the Learning of Mathematics
, pp. 387-397
-
-
Kieren, T.E.1
-
68
-
-
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
-
69
-
-
0001898372
-
Numerical transformations in five-month-old human infants
-
Koechlin, E., Dehaene, S. J., & Mehler, J. (1997). Numerical transformations in five-month-old human infants. Mathematical Cognition, 3, 89-104.
-
(1997)
Mathematical Cognition
, vol.3
, pp. 89-104
-
-
Koechlin, E.1
Dehaene, S.J.2
Mehler, J.3
-
70
-
-
0033272889
-
Primed numbers: Exploring the modularity of numerical representations with masked and unmasked semantic priming
-
Koechlin, E., Naccache, L., Block, E., & Dehaene, S. (1999). Primed numbers: Exploring the modularity of numerical representations with masked and unmasked semantic priming. Journal of Experimental Psychology: Human perception and performance. 25, 1882-1905.
-
(1999)
Journal of Experimental Psychology: Human Perception and Performance
, vol.25
, pp. 1882-1905
-
-
Koechlin, E.1
Naccache, L.2
Block, E.3
Dehaene, S.4
-
71
-
-
15944415303
-
Introduction
-
[Special Issue on the intersection between development and learning]
-
Kuhn, D. (1995). Introduction. [Special Issue on the intersection between development and learning]. Human Development, 38, 293-294.
-
(1995)
Human Development
, vol.38
, pp. 293-294
-
-
Kuhn, D.1
-
72
-
-
0002303730
-
Ratio and proportion: Cognitive foundations in unitizing and norming
-
G. Harel & J. Confrey (Eds.), Albany, NY: State University of New York Press
-
Lamon, S. (1994). Ratio and proportion: Cognitive foundations in unitizing and norming. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 89-120). Albany, NY: State University of New York Press.
-
(1994)
The Development of Multiplicative Reasoning in the Learning of Mathematics
, pp. 89-120
-
-
Lamon, S.1
-
74
-
-
1042277144
-
Developing understanding of measurement
-
J. Kilpatrick, W. Gary Martin, & D. Schifter (Eds.), Reston, VA: The National Council of Teachers of Mathematics
-
Lehrer, R. (2003). Developing understanding of measurement. In J. Kilpatrick, W. Gary Martin, & D. Schifter (Eds.), A research companion to principles and standards for school mathematics (pp. 179-192). Reston, VA: The National Council of Teachers of Mathematics.
-
(2003)
A Research Companion to Principles and Standards for School Mathematics
, pp. 179-192
-
-
Lehrer, R.1
-
75
-
-
85070622380
-
Longitudinal study of children's reasoning about space and geometry
-
R. Lehrer & D. Chazan (Eds.), Mahwah, NJ: Lawrence Erlbaum Associates, Inc.
-
Lehrer, R., Jenkins, M., & Osana, H. (1998). Longitudinal study of children's reasoning about space and geometry. In R. Lehrer & D. Chazan (Eds.), Designing learning environment for developing understanding of geometry and space (pp. 137-167). Mahwah, NJ: Lawrence Erlbaum Associates, Inc.
-
(1998)
Designing Learning Environment for Developing Understanding of Geometry and Space
, pp. 137-167
-
-
Lehrer, R.1
Jenkins, M.2
Osana, H.3
-
76
-
-
13944284660
-
Mathematical learning
-
W. Reynolds & G. Miller (Eds.), New York: John Wiley
-
Lehrer, R., & Lesh, R. (2003). Mathematical learning. In W. Reynolds & G. Miller (Eds.), Handbook of psychology: Vol. 7. (pp. 357-391). New York: John Wiley.
-
(2003)
Handbook of Psychology
, vol.7
, pp. 357-391
-
-
Lehrer, R.1
Lesh, R.2
-
77
-
-
0010015129
-
Rational number relations and proportions
-
C. Janvier (Ed.). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
Lesh, R., Behr, M., Post, & T. R. (1987). Rational number relations and proportions. In C. Janvier (Ed.). Problems of representation in the teaching and learning mathematics (pp. 41-58). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
(1987)
Problems of Representation in the Teaching and Learning Mathematics
, pp. 41-58
-
-
Lesh, R.1
Behr, M.2
Post, T.R.3
-
79
-
-
21844526317
-
Confounding whole-number and fraction concepts when building on informal knowledge
-
Mack, N. (1995). Confounding whole-number and fraction concepts when building on informal knowledge. Journal for Research in Mathematics Education, 26, 422-441.
-
(1995)
Journal for Research in Mathematics Education
, vol.26
, pp. 422-441
-
-
Mack, N.1
-
81
-
-
0026900986
-
Cognitive mechanisms in numerical processing: Evidence from acquired dyscalculia
-
McCloskey, M. (1992). Cognitive mechanisms in numerical processing: Evidence from acquired dyscalculia, Cognition, 44, 107-157.
-
(1992)
Cognition
, vol.44
, pp. 107-157
-
-
McCloskey, M.1
-
84
-
-
0036267127
-
Prefrontal cortex involvement in processing incorrect arithmetic equations: Evidence from event-related fMRI
-
Menon, V., Mackenzie, K., Rivera, S., & Reiss, A. (2002). Prefrontal cortex involvement in processing incorrect arithmetic equations: Evidence from event-related fMRI. Human Brain Mapping, 16, 119-130.
-
(2002)
Human Brain Mapping
, vol.16
, pp. 119-130
-
-
Menon, V.1
Mackenzie, K.2
Rivera, S.3
Reiss, A.4
-
85
-
-
0033778651
-
Dissociating prefrontal and parietal context activation during arithmetic processing
-
Menon, V., Rivera, S., White, C., Glover, G. H., & Reiss, A. (2002). Dissociating prefrontal and parietal context activation during arithmetic processing. NeuroImage, 12, 357-365.
-
(2002)
NeuroImage
, vol.12
, pp. 357-365
-
-
Menon, V.1
Rivera, S.2
White, C.3
Glover, G.H.4
Reiss, A.5
-
86
-
-
0001059610
-
Measurement as a tool for thought: The role of measuring procedures on children's understanding of quantitative invariance
-
Miller, K. F. (1989). Measurement as a tool for thought: The role of measuring procedures on children's understanding of quantitative invariance. Developmental Psychology, 25, 589-600.
-
(1989)
Developmental Psychology
, vol.25
, pp. 589-600
-
-
Miller, K.F.1
-
87
-
-
0025655179
-
Starting to add worse: Effects of learning to multiply on children's addition
-
Miller, K. F., & Paredes, D. R. (1990). Starting to add worse: Effects of learning to multiply on children's addition. Cognition. 37, 213-242.
-
(1990)
Cognition.
, vol.37
, pp. 213-242
-
-
Miller, K.F.1
Paredes, D.R.2
-
88
-
-
0010788872
-
Similarity and numerical equivalence: Appearance counts
-
Mix, K. S. (1999). Similarity and numerical equivalence: Appearance counts. Cognitive Development, 14, 269-297.
-
(1999)
Cognitive Development
, vol.14
, pp. 269-297
-
-
Mix, K.S.1
-
89
-
-
0036748409
-
The construction of number concepts
-
Mix, K. S. (2002). The construction of number concepts. Cognitive Development, 17, 1345-1363.
-
(2002)
Cognitive Development
, vol.17
, pp. 1345-1363
-
-
Mix, K.S.1
-
90
-
-
0032615429
-
Early fraction calculation ability
-
Mix, K. S., Levine, S. C., & Huttenlocher, J. (1999). Early fraction calculation ability. Developmental Psychology, 35, 164-174.
-
(1999)
Developmental Psychology
, vol.35
, pp. 164-174
-
-
Mix, K.S.1
Levine, S.C.2
Huttenlocher, J.3
-
91
-
-
85047671247
-
Multiple cues for quantification in infancy: Is number one of them?
-
Mix, K. S., Levine, S. C., & Huttenlocher, J. (2002a). Multiple cues for quantification in infancy: Is number one of them? Psychological Bulletin, 128(2), 278-294.
-
(2002)
Psychological Bulletin
, vol.128
, Issue.2
, pp. 278-294
-
-
Mix, K.S.1
Levine, S.C.2
Huttenlocher, J.3
-
93
-
-
0022704120
-
The effect of the experimenter's intention on the child's understanding of conservation
-
Moore, C., & Frye, D. (1986). The effect of the experimenter's intention on the child's understanding of conservation. Cognition, 22, 283-298.
-
(1986)
Cognition
, vol.22
, pp. 283-298
-
-
Moore, C.1
Frye, D.2
-
94
-
-
22444453037
-
Developing children's understanding of the rational numbers: A new model and an experimental curriculum
-
Moss, J., & Case, R. (1999). Developing children's understanding of the rational numbers: A new model and an experimental curriculum. Journal for Research in Mathematics Education, 30, 122-147.
-
(1999)
Journal for Research in Mathematics Education
, vol.30
, pp. 122-147
-
-
Moss, J.1
Case, R.2
-
95
-
-
0014221599
-
Time required for judgments of numerical inequality
-
Moyer, R. S., & Landauer, T. K. (1967). Time required for judgments of numerical inequality. Nature, 215, 1519-1520.
-
(1967)
Nature
, vol.215
, pp. 1519-1520
-
-
Moyer, R.S.1
Landauer, T.K.2
-
96
-
-
0242558505
-
How valid to use number lines to measure children's conceptual knowledge about rational numbers?
-
Ni, Y. J. (2000). How valid to use number lines to measure children's conceptual knowledge about rational numbers? Educational Psychology, 20, 139-152.
-
(2000)
Educational Psychology
, vol.20
, pp. 139-152
-
-
Ni, Y.J.1
-
97
-
-
0242474792
-
Semantic domains of rational numbers and the acquisition of fraction equivalence
-
Ni, Y. J. (2001). Semantic domains of rational numbers and the acquisition of fraction equivalence. Contemporary Educational Psychology, 26, 400-417.
-
(2001)
Contemporary Educational Psychology
, vol.26
, pp. 400-417
-
-
Ni, Y.J.1
-
98
-
-
85039389503
-
Facilitating the development of fraction concepts in third-grade classrooms: Partitioning vs. measurement approach
-
The Chinese University of Hong Kong
-
Ni, Y. J., & Saxe, G. B. (2003). Facilitating the development of fraction concepts in third-grade classrooms: Partitioning vs. measurement approach. A research proposal submitted to University Grant Council of Hong Kong. The Chinese University of Hong Kong.
-
(2003)
A Research Proposal Submitted to University Grant Council of Hong Kong
-
-
Ni, Y.J.1
Saxe, G.B.2
-
99
-
-
0039264141
-
Locating proper fractions on number lines: Effects of length and equivalence
-
Novillis, C. (1979). Locating proper fractions on number lines: Effects of length and equivalence. School Science and Mathematics, 53, 423-428.
-
(1979)
School Science and Mathematics
, vol.53
, pp. 423-428
-
-
Novillis, C.1
-
100
-
-
15944384038
-
Systems of signs and conceptual change
-
W. Schnotz, S. Vosniadou, & M. Carretero (Eds.), Oxford, England: Elsevier Science
-
Nunes, T. (1999). Systems of signs and conceptual change. In W. Schnotz, S. Vosniadou, & M. Carretero (Eds.), New perspectives on conceptual change (pp. 67-80). Oxford, England: Elsevier Science.
-
(1999)
New Perspectives on Conceptual Change
, pp. 67-80
-
-
Nunes, T.1
-
104
-
-
85039411006
-
The role of rational number concepts in the development of proportional reasoning skills
-
(Report No. NSF-DPE-8470177). Washington, DC
-
Post, T. R., Behr, M., & Lesh, R. (1984). The role of rational number concepts in the development of proportional reasoning skills (Report No. NSF-DPE-8470177). Research Proposal. Washington, DC.
-
(1984)
Research Proposal
-
-
Post, T.R.1
Behr, M.2
Lesh, R.3
-
105
-
-
0003155810
-
Curriculum implications of research on the learning, teaching, and assessing of rational number concepts
-
T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
Post, T. R., Cramer, K., Behr, M., Lesh, R., & Harel, G. (1993). Curriculum implications of research on the learning, teaching, and assessing of rational number concepts. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 327-362). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 327-362
-
-
Post, T.R.1
Cramer, K.2
Behr, M.3
Lesh, R.4
Harel, G.5
-
106
-
-
0000398501
-
Partitioning: The emergence of rational number ideas in young children
-
Pothier, Y., & Sawada, D. (1983). Partitioning: The emergence of rational number ideas in young children. Journal for Research in Mathematics Education, 14, 307-317.
-
(1983)
Journal for Research in Mathematics Education
, vol.14
, pp. 307-317
-
-
Pothier, Y.1
Sawada, D.2
-
107
-
-
0001255533
-
The development of mathematical intuition
-
M. Perlmutter (Ed.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
Resnick, L. B. (1986). The development of mathematical intuition. In M. Perlmutter (Ed.), Perspectives on intellectual development: Minnesota Symposia on Child Psychology: Vol. 19 (pp. 159-194). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
(1986)
Perspectives on Intellectual Development: Minnesota Symposia on Child Psychology
, vol.19
, pp. 159-194
-
-
Resnick, L.B.1
-
108
-
-
0000112365
-
Protoquantitative origins of ratio reasoning
-
T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
Resnick, L. B., & Singer, J. (1993). Protoquantitative origins of ratio reasoning. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 107-130). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 107-130
-
-
Resnick, L.B.1
Singer, J.2
-
111
-
-
0030642225
-
Toward making representation count in children's conceptions of fractions
-
Siegal, M., & Smith, J. A. (1997). Toward making representation count in children's conceptions of fractions. Contemporary Educational Psychology, 22, 1-22.
-
(1997)
Contemporary Educational Psychology
, vol.22
, pp. 1-22
-
-
Siegal, M.1
Smith, J.A.2
-
112
-
-
84970670962
-
Cognitive variability: A key to understanding cognitive development
-
Siegler, R. S. (1994). Cognitive variability: A key to understanding cognitive development. Current Direction in Psychological Science, 3, 1-5.
-
(1994)
Current Direction in Psychological Science
, vol.3
, pp. 1-5
-
-
Siegler, R.S.1
-
113
-
-
0031185169
-
Reconceptualizing the origins of number knowledge: A "non- numerical" account
-
Simon, T. J. (1997). Reconceptualizing the origins of number knowledge: A "non-numerical" account. Cognitive Development, 12, 349-372.
-
(1997)
Cognitive Development
, vol.12
, pp. 349-372
-
-
Simon, T.J.1
-
114
-
-
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
-
115
-
-
0039795156
-
A developmental perspective on child counting
-
C. Donlan (Ed.), Hove, England: Psychology Press
-
Sophian, C. (1998). A developmental perspective on child counting. In C. Donlan (Ed.), The development of mathematical skills (pp. 37-46). Hove, England: Psychology Press.
-
(1998)
The Development of Mathematical Skills
, pp. 37-46
-
-
Sophian, C.1
-
116
-
-
0034657337
-
Perceptions of proportionality in young children: Matching spatial ratios
-
Sophian, C. (2000). Perceptions of proportionality in young children: Matching spatial ratios. Cognition, 75, 145-170.
-
(2000)
Cognition
, vol.75
, pp. 145-170
-
-
Sophian, C.1
-
117
-
-
0031229698
-
When three is less than two: Early developments in children's understanding of fractional quantities
-
Sophian, C., Garyantes, D., & Chang, C. (1997). When three is less than two: Early developments in children's understanding of fractional quantities. Developmental Psychology, 33, 731-744.
-
(1997)
Developmental Psychology
, vol.33
, pp. 731-744
-
-
Sophian, C.1
Garyantes, D.2
Chang, C.3
-
118
-
-
84989491909
-
Children's proportional judgments: The importance of "half."
-
Spinillo, A., & Bryant, P. (1991). Children's proportional judgments: The importance of "half." Child Development, 62, 427-440.
-
(1991)
Child Development
, vol.62
, pp. 427-440
-
-
Spinillo, A.1
Bryant, P.2
-
119
-
-
0026860461
-
The early development of numerical reasoning
-
Starkey, P. (1992). The early development of numerical reasoning. Cognition, 43, 93-126.
-
(1992)
Cognition
, vol.43
, pp. 93-126
-
-
Starkey, P.1
-
120
-
-
0019202374
-
Perception of numbers by human infants
-
Starkey, P., & Cooper, R. G., Jr. (1980). Perception of numbers by human infants. Science, 210, 1033-1035.
-
(1980)
Science
, vol.210
, pp. 1033-1035
-
-
Starkey, P.1
Cooper Jr., R.G.2
-
121
-
-
0025470831
-
Numerical abstraction by human infants
-
Starkey, P., Spelke, E. S., & Gelman, R. (1990). Numerical abstraction by human infants. Cognition, 36, 97-127.
-
(1990)
Cognition
, vol.36
, pp. 97-127
-
-
Starkey, P.1
Spelke, E.S.2
Gelman, R.3
-
122
-
-
0035729603
-
A new hypothesis concerning children's fractional knowledge
-
Steife, L. P. (2002). A new hypothesis concerning children's fractional knowledge. Journal of Mathematical Behavior, 20, 267-307.
-
(2002)
Journal of Mathematical Behavior
, vol.20
, pp. 267-307
-
-
Steife, L.P.1
-
124
-
-
0004120205
-
-
New York: Praeger
-
Steffe, L. P., von Glasersfeld, E., Richards, J., & Cobb, P. (1983). Children's counting types. New York: Praeger.
-
(1983)
Children's Counting Types
-
-
Steffe, L.P.1
Von Glasersfeld, E.2
Richards, J.3
Cobb, P.4
-
125
-
-
0019762040
-
Infants perception of numerosity
-
Strauss, M. S., & Curtis, L. E. (1981). Infants perception of numerosity. Child Development, 52, 1146-1152.
-
(1981)
Child Development
, vol.52
, pp. 1146-1152
-
-
Strauss, M.S.1
Curtis, L.E.2
-
127
-
-
0002331169
-
Fractions: A realistic approach
-
T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
Streefland, L. (1993). Fractions: A realistic approach. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 289-325). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 289-325
-
-
Streefland, L.1
-
128
-
-
8644246924
-
Fractions and multiplicative reasoning
-
J. Kilpatrick, W. Gary Martin, & D. Schifter (Eds.), Reston, VA: The National Council of Teachers of Mathematics
-
Thompson, P. W., & Saldanha, L. A. (2003). Fractions and multiplicative reasoning. In J. Kilpatrick, W. Gary Martin, & D. Schifter (Eds.), A research companion to principles and standards for school mathematics (pp. 95-113). Reston, VA: The National Council of Teachers of Mathematics.
-
(2003)
A Research Companion to Principles and Standards for School Mathematics
, pp. 95-113
-
-
Thompson, P.W.1
Saldanha, L.A.2
-
129
-
-
22644452255
-
An integrated study of children's construction of improper fractions and the teacher's role in promoting that learning
-
Tzur, R. (1999). An integrated study of children's construction of improper fractions and the teacher's role in promoting that learning. Journal for Research in Mathematics Education, 30, 390-416.
-
(1999)
Journal for Research in Mathematics Education
, vol.30
, pp. 390-416
-
-
Tzur, R.1
-
130
-
-
0009169632
-
Multiplicative conceptual field: What and why?
-
G. Harel & J. Confrey (Eds.). Albany, NY: State University of New York Press
-
Vergnaud, G. (1994). Multiplicative conceptual field: What and why? In G. Harel & J. Confrey (Eds.). The development of multiplicative reasoning in the learning of mathematics (pp. 41-59). Albany, NY: State University of New York Press.
-
(1994)
The Development of Multiplicative Reasoning in the Learning of Mathematics
, pp. 41-59
-
-
Vergnaud, G.1
-
131
-
-
0004115808
-
-
Cambridge, MA: Harvard University Press
-
Vygotsky, L. S. (1978). Mind in society. Cambridge, MA: Harvard University Press.
-
(1978)
Mind in Society
-
-
Vygotsky, L.S.1
-
132
-
-
0001796182
-
Realism and rationality in the selection task
-
J. St. B. T. Evans (Ed.), London: Routledge and Kegan Paul
-
Wason, P. C. (1983). Realism and rationality in the selection task. In J. St. B. T. Evans (Ed.), Thinking and reasoning: Psychological approaches (pp. 44-75). London: Routledge and Kegan Paul.
-
(1983)
Thinking and Reasoning: Psychological Approaches
, pp. 44-75
-
-
Wason, P.C.1
-
133
-
-
77956757171
-
Students' conceptions in physics and mathematics: Biases and helps
-
J-P. Caverni, J-M. Fabre, & M. Gonzalez (Eds.), Amsterdam, The Netherlands: North-Holland
-
Weil-Barais, A., & Vergnaud, D. (1990). Students' conceptions in physics and mathematics: Biases and helps. In J-P. Caverni, J-M. Fabre, & M. Gonzalez (Eds.), Cognitive biases (pp. 69-84). Amsterdam, The Netherlands: North-Holland.
-
(1990)
Cognitive Biases
, pp. 69-84
-
-
Weil-Barais, A.1
Vergnaud, D.2
-
134
-
-
0025473241
-
Children's understanding of counting
-
Wynn, K. (1990). Children's understanding of counting. Cognition, 36, 155-193.
-
(1990)
Cognition
, vol.36
, pp. 155-193
-
-
Wynn, K.1
-
135
-
-
0000094403
-
Children's acquisition of the number words and the counting system
-
Wynn, K. (1992a). Children's acquisition of the number words and the counting system. Cognitive Psychology, 24, 220-251.
-
(1992)
Cognitive Psychology
, vol.24
, pp. 220-251
-
-
Wynn, K.1
-
136
-
-
0026733446
-
Addition and subtraction in human infants
-
Wynn, K. (1992b). Addition and subtraction in human infants. Nature, 358, 749-750.
-
(1992)
Nature
, vol.358
, pp. 749-750
-
-
Wynn, K.1
-
137
-
-
0028330254
-
Neuronal plasticity that underlies improvement in perception performance
-
Zohary, E., Celebrini, S., Britten, K. H., & Newsome, W. T. (1994). Neuronal plasticity that underlies improvement in perception performance. Science, 263, 1289-1292.
-
(1994)
Science
, vol.263
, pp. 1289-1292
-
-
Zohary, E.1
Celebrini, S.2
Britten, K.H.3
Newsome, W.T.4
|