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Volumn , Issue , 2003, Pages 127-160

The development of children's understanding of additive commutativity: From protoquantitive concept to general concept?

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EID: 10244278658     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.4324/9781410607218     Document Type: Chapter
Times cited : (31)

References (73)
  • 1
    • 84973850959 scopus 로고
    • Some reflections on the acquisition of knowledge
    • Anderson, R.C. (1984). Some reflections on the acquisition of knowledge. Educational Researcher, 13(9), 5-10.
    • (1984) Educational Researcher , vol.13 , Issue.9 , pp. 5-10
    • Anderson, R.C.1
  • 2
    • 0346536740 scopus 로고
    • Are discovering commutativity and more economical addition strategies related?
    • Baroody, A.J. (1982). Are discovering commutativity and more economical addition strategies related? Problem Solving, 4(12), 1-2.
    • (1982) Problem Solving , vol.4 , Issue.12 , pp. 1-2
    • Baroody, A.J.1
  • 3
    • 84963202562 scopus 로고
    • The case of Felicia: A young child's strategies for reducing memory demands during mental addition
    • Baroody, A.J. (1984a). The case of Felicia: A young child's strategies for reducing memory demands during mental addition. Cognition and Instruction, 1, 109-116.
    • (1984) Cognition and Instruction , vol.1 , pp. 109-116
    • Baroody, A.J.1
  • 4
    • 0021471272 scopus 로고
    • More precisely defining and measuring the order-irrelevance principle
    • Baroody, A.J. (1984b). More precisely defining and measuring the order-irrelevance principle. Journal of Experimental Child Psychology, 38, 33-41.
    • (1984) Journal of Experimental Child Psychology , vol.38 , pp. 33-41
    • Baroody, A.J.1
  • 6
    • 0000059595 scopus 로고
    • The development of counting strategies for single-digit addition
    • Baroody, A.J. (1987b). The development of counting strategies for single-digit addition. Journal for Research in Mathematics Education, 18, 141-157.
    • (1987) Journal for Research in Mathematics Education , vol.18 , pp. 141-157
    • Baroody, A.J.1
  • 7
    • 0023142655 scopus 로고
    • Problem size and mentally retarded children's judgment of commutativity
    • Baroody, A.J. (1987c). Problem size and mentally retarded children's judgment of commutativity. American Journal of Mental Deficiency, 91, 439-442.
    • (1987) American Journal of Mental Deficiency , vol.91 , pp. 439-442
    • Baroody, A.J.1
  • 8
    • 21344486273 scopus 로고
    • The relationship between the order-irrelevance principle and counting skill
    • Baroody, A.J. (1993). The relationship between the order-irrelevance principle and counting skill. Journal for Research in Mathematics Education, 24, 415-427.
    • (1993) Journal for Research in Mathematics Education , vol.24 , pp. 415-427
    • Baroody, A.J.1
  • 9
    • 0039177861 scopus 로고
    • The role of the number-after rule in the invention of computational short cuts
    • Baroody, A.J. (1995). The role of the number-after rule in the invention of computational short cuts. Cognition and Instruction, 13, 189-219.
    • (1995) Cognition and Instruction , vol.13 , pp. 189-219
    • Baroody, A.J.1
  • 10
    • 0030036861 scopus 로고    scopus 로고
    • self-invented addition strategies by children with mental retardation
    • Baroody, A.J. (1996). self-invented addition strategies by children with mental retardation. American Journal on Mental Retardation, 101, 72-89.
    • (1996) American Journal on Mental Retardation , vol.101 , pp. 72-89
    • Baroody, A.J.1
  • 11
    • 0007347864 scopus 로고    scopus 로고
    • Children's relational knowledge of addition and subtraction
    • Baroody, A.J. (1999). Children's relational knowledge of addition and subtraction. Cognition and Instruction, 17, 137-175.
    • (1999) Cognition and Instruction , vol.17 , pp. 137-175
    • Baroody, A.J.1
  • 12
    • 84896534015 scopus 로고    scopus 로고
    • Number and operations: Key transitions in the numerical and arithmetic development of typical and special children between the ages of 2 and 6 years
    • May., Paper presented at the Conference on Standards for Preschool and Kindergarten Mathematics Education sponsored by the National Science Foundation and Exxon Mobil Foundation, Arlington, VA
    • Baroody, A.J. (2000, May). Number and operations: Key transitions in the numerical and arithmetic development of typical and special children between the ages of 2 and 6 years. Paper presented at the Conference on Standards for Preschool and Kindergarten Mathematics Education sponsored by the National Science Foundation and Exxon Mobil Foundation, Arlington, VA.
    • (2000)
    • Baroody, A.J.1
  • 15
    • 84963145316 scopus 로고
    • The development of commutativity principle and economical addition strategies
    • Baroody, A.J., & Gannon, K.E. (1984). The development of 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
  • 16
    • 85065689686 scopus 로고
    • The relationship between initial meaningful and mechanical knowledge of arithmetic
    • In J. Hiebert (Ed.), Hillsdale, NJ, Lawrence Erlbaum Associates
    • 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. 75-112). Hillsdale, NJ: Lawrence Erlbaum Associates.
    • (1986) Conceptual and procedural knowledge: The case of mathematics , pp. 75-112
    • Baroody, A.J.1    Ginsburg, H.P.2
  • 18
    • 10844265647 scopus 로고    scopus 로고
    • The development of informal counting, number, and arithmetic skills and concepts
    • In J. Copley (Ed.), Reston, VA, National Council of Teachers of Mathematics
    • Baroody, A.J., & Wilkins, J.L.M. (1999). The development of informal counting, number, and arithmetic skills and concepts. In J. Copley (Ed.), Mathematics in the early years, birth to five (pp. 48-65). Reston, VA: National Council of Teachers of Mathematics.
    • (1999) Mathematics in the early years, birth to five , pp. 48-65
    • Baroody, A.J.1    Wilkins, J.L.M.2
  • 19
    • 0346536746 scopus 로고
    • Children's understanding of the commutative law of addition
    • Bermejo, V., & Rodriguez, P. (1993). Children's understanding of the commutative law of addition. Learning and Instruction, 3, 55-72.
    • (1993) Learning and Instruction , vol.3 , pp. 55-72
    • Bermejo, V.1    Rodriguez, P.2
  • 20
    • 0002445611 scopus 로고
    • Strategic and nonstrategic processing in the development of mathematical cognition
    • In D.F. Bjorklund (Ed.), Hillsdale, NJ, Lawrence Erlbaum Associates
    • 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: Lawrence Erlbaum Associates.
    • (1990) Children's strategies: Contemporary views of cognitive development , pp. 213-244
    • Bisanz, J.1    LeFevre, J.2
  • 21
    • 84963486131 scopus 로고
    • An integrated model of skills in solving elementary word problems
    • Briars, D.J., & Larkin, J.G. (1984). An integrated model of skills in solving elementary word problems. Cognition and Instruction, 1, 245-296.
    • (1984) Cognition and Instruction , vol.1 , pp. 245-296
    • Briars, D.J.1    Larkin, J.G.2
  • 22
    • 0347167006 scopus 로고
    • Preschool children's knowledge of addition and subtraction
    • Brush, L.R. (1978). Preschool children's knowledge of addition and subtraction. Journal for Research in Mathematics Education, 9, 44-54.
    • (1978) Journal for Research in Mathematics Education , vol.9 , pp. 44-54
    • Brush, L.R.1
  • 24
    • 0000355619 scopus 로고
    • Mental multiplication skill: Structure, process, and acquisition
    • Campbell, J.I.D., & Graham, D.J. (1985). Mental multiplication skill: Structure, process, and acquisition. Canadian Journal of Psychology, 39, 338-362.
    • (1985) Canadian Journal of Psychology , vol.39 , pp. 338-362
    • Campbell, J.I.D.1    Graham, D.J.2
  • 25
    • 84963167991 scopus 로고
    • The development of addition and subtraction problem-solving skills
    • In T.P. Carpenter, J.M. Moser, & T.A. Romberg (Eds.), Hillsdale, NJ, Lawrence Erlbaum Associates
    • Carpenter, T.P., & Moser, J.M. (1982). The development of addition and subtraction problem-solving skills. In T.P. Carpenter, J.M. Moser, & T.A. Romberg (Eds.), Addition and subtraction: A cognitive perspective (pp. 9-24). Hillsdale, NJ: Lawrence Erlbaum Associates.
    • (1982) Addition and subtraction: A cognitive perspective , pp. 9-24
    • Carpenter, T.P.1    Moser, J.M.2
  • 26
    • 0001668714 scopus 로고
    • 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
  • 27
    • 21344432811 scopus 로고    scopus 로고
    • Even more precisely assessing children's understanding of the order-irrelevance principle
    • Cowan, R., Dowker, A., Christakis, A., & Bailey, S. (1996). Even more precisely assessing children's understanding of the order-irrelevance principle. Journal of Experimental Child Psychology, 62, 84-101.
    • (1996) Journal of Experimental Child Psychology , vol.62 , pp. 84-101
    • Cowan, R.1    Dowker, A.2    Christakis, A.3    Bailey, S.4
  • 28
    • 84868266019 scopus 로고    scopus 로고
    • 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
  • 29
    • 0010861395 scopus 로고
    • New York, The Free Press original work published 1930
    • Dantzig, T. (1954). Number: The language of science. New York: The Free Press (original work published 1930).
    • (1954) Number: The language of science
    • Dantzig, T.1
  • 30
    • 0000241410 scopus 로고
    • The effect of semantic structure on first graders' strategies for solving addition and subtraction word problems
    • De Corte, E., & Verschaffel, L. (1987). The effect of semantic structure on first graders' strategies for solving addition and subtraction word problems. Journal for Research in Mathematics Education, 18, 363-381.
    • (1987) Journal for Research in Mathematics Education , vol.18 , pp. 363-381
    • De Corte, E.1    Verschaffel, L.2
  • 31
    • 0002762937 scopus 로고
    • Phenomenology and the evolution of intuition
    • In D. Gentner & A. Stevens (Eds.), Hillsdale, NJ, Lawrence Erlbaum Associates
    • diSessa, A.A. (1983). Phenomenology and the evolution of intuition. In D. Gentner & A. Stevens (Eds.), Mental models (pp. 15-33). Hillsdale, NJ: Lawrence Erlbaum Associates.
    • (1983) Mental models , pp. 15-33
    • diSessa, A.A.1
  • 32
    • 84909242664 scopus 로고
    • Counting solution procedures in addition and subtraction
    • November, Paper presented at the Wingspread Seminar on the Initial Learning of Addition and Subtraction Skills, Racine, WI
    • Fuson, K.C. (1979, November). Counting solution procedures in addition and subtraction. Paper presented at the Wingspread Seminar on the Initial Learning of Addition and Subtraction Skills, Racine, WI.
    • (1979)
    • Fuson, K.C.1
  • 33
    • 0002776706 scopus 로고
    • Research on whole number addition and subtraction
    • In D. Grouws (Ed.), New York, Macmillan
    • Fuson, K.C. (1992). Research on whole number addition and subtraction. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 243-275). New York: Macmillan.
    • (1992) Handbook of research on mathematics teaching and learning , pp. 243-275
    • Fuson, K.C.1
  • 34
    • 0009925187 scopus 로고
    • Children's conformity to the cardinality rule as a function of set size and counting accuracy
    • Fuson, K.C., Pergament, G.G., Lyons, B.G., & Hall, J.W. (1985). Children's conformity to the cardinality rule as a function of set size and counting accuracy. Child Development, 56,1429-1436.
    • (1985) Child Development , vol.56 , pp. 1429-1436
    • Fuson, K.C.1    Pergament, G.G.2    Lyons, B.G.3    Hall, J.W.4
  • 35
    • 84909242663 scopus 로고
    • The development of commutativity
    • September., Paper presented at the conference on Language and Mathematical Thinking, London
    • Ganetsou, E., & Cowan, R. (1995, September). The development of commutativity. Paper presented at the conference on Language and Mathematical Thinking, London.
    • (1995)
    • Ganetsou, E.1    Cowan, R.2
  • 36
    • 84925980047 scopus 로고
    • Accessing one-to-one correspondence: Still another paper about conservation
    • Gelman, R. (1982). Accessing one-to-one correspondence: Still another paper about conservation. British Journal of Psychology, 73, 209-220.
    • (1982) British Journal of Psychology , vol.73 , pp. 209-220
    • Gelman, R.1
  • 37
    • 0003707186 scopus 로고
    • The child's understanding of number
    • MA, Harvard University Press
    • Gelman, R., & Gallistel, C.R. (1978). The child's understanding of number. Cambridge, MA: Harvard University Press.
    • (1978) Cambridge
    • Gelman, R.1    Gallistel, C.R.2
  • 39
    • 0000202202 scopus 로고    scopus 로고
    • The development of children's mathematical knowledge: Connecting research with practice
    • In I.E. Sigel & K.A. Renninger (Eds.), 5th ed., New York, Wiley
    • Ginsburg, H.P., Klein, A., & Starkey, P. (1998). The development of children's mathematical knowledge: Connecting research with practice. In I.E. Sigel & K.A. Renninger (Eds.), Handbook of child psychology: Vol. 4. Child psychology in practice (5th ed., pp. 401-476). New York: Wiley.
    • (1998) Handbook of child psychology: Vol. 4. Child psychology in practice , pp. 401-476
    • Ginsburg, H.P.1    Klein, A.2    Starkey, P.3
  • 40
    • 0000627440 scopus 로고
    • A chronometric analysis of simple addition
    • Groen, G.J., & Parkman, J.M. (1972). A chronometric analysis of simple addition. Psychological Review, 79, 329-343.
    • (1972) Psychological Review , vol.79 , pp. 329-343
    • Groen, G.J.1    Parkman, J.M.2
  • 44
    • 0347167005 scopus 로고
    • Factors associated with the ability of kindergarten children to solve simple arithmetic story problems
    • Ibarra, C.G., & Lindvall, C.M. (1982). Factors associated with the ability of kindergarten children to solve simple arithmetic story problems. Journal of Educational Research, 5, 149-155.
    • (1982) Journal of Educational Research , vol.5 , pp. 149-155
    • Ibarra, C.G.1    Lindvall, C.M.2
  • 46
    • 21844521945 scopus 로고    scopus 로고
    • 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
  • 47
    • 0347681493 scopus 로고
    • Mathematics learning: Roots of epistemological status
    • In J. Lochhead & J. Clement (Eds.), Philadelphia, Franklin Institute Press
    • Kaput, J.J. (1979). Mathematics learning: Roots of epistemological status. In J. Lochhead & J. Clement (Eds.), Cognitive process instruction (pp. 289-304). Philadelphia: Franklin Institute Press.
    • (1979) Cognitive process instruction , pp. 289-304
    • Kaput, J.J.1
  • 48
    • 0141517373 scopus 로고
    • 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, 119-140.
    • (1981) Educational Psychology , vol.1 , pp. 119-140
    • Langford, P.E.1
  • 49
    • 0033258129 scopus 로고    scopus 로고
    • Preschoolers' recognition of numerical equivalence: Sequential sets
    • Mix, K. (1999). Preschoolers' recognition of numerical equivalence: Sequential sets. Journal of Experimental Child Psychology, 74, 309-332.
    • (1999) Journal of Experimental Child Psychology , vol.74 , pp. 309-332
    • Mix, K.1
  • 53
    • 10644245687 scopus 로고
    • The gaps in empiricism
    • In A. Koestler & J.R. Smythies (Eds.), Boston, Beacon Press
    • Piaget, J., & Inhelder, B. (1969). The gaps in empiricism. In A. Koestler & J.R. Smythies (Eds.), Beyond reductionism. Boston: Beacon Press.
    • (1969) Beyond reductionism
    • Piaget, J.1    Inhelder, B.2
  • 54
    • 0002708179 scopus 로고
    • A developmental theory of number understanding
    • In H.P. Ginsburg (Ed.), New York, Academic Press
    • Resnick, L.B. (1983). A developmental theory of number understanding. In H.P. Ginsburg (Ed.), The development of mathematical thinking (pp. 109-151). New York: Academic Press.
    • (1983) The development of mathematical thinking , pp. 109-151
    • Resnick, L.B.1
  • 55
    • 0000268131 scopus 로고
    • From protoquantities to operators: Building mathematical competence on a foundation of everyday knowledge
    • In G. Leinhardt, R. Putnam, & R.A. Hattrup (Eds.), Hillsdale, NJ, Lawrence Erlbaum Associates
    • 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 (pp. 373-425). Hillsdale, NJ: Lawrence Erlbaum Associates.
    • (1992) Analysis of arithmetic for mathematics teaching , pp. 373-425
    • Resnick, L.B.1
  • 56
    • 84963156487 scopus 로고
    • Developmental analysis of understanding language about quantities and of solving problems
    • Riley, M.S., & Greeno, J.G. (1988). Developmental analysis of understanding language about quantities and of solving problems. Cognition and Instruction, 5, 49-101.
    • (1988) Cognition and Instruction , vol.5 , pp. 49-101
    • Riley, M.S.1    Greeno, J.G.2
  • 57
    • 0002814286 scopus 로고
    • Development of children's problem-solving ability in arithmetic
    • In H.P. Ginsburg (Ed.), New York, Academic Press
    • Riley, M.S., Greeno, J.G., & Heller, J.I. (1983). Development of children's problem-solving ability in arithmetic. In H.P. Ginsburg (Ed.), The development of mathematical thinking (pp. 153-200). New York: Academic Press.
    • (1983) The development of mathematical thinking , pp. 153-200
    • Riley, M.S.1    Greeno, J.G.2    Heller, J.I.3
  • 58
    • 0003849508 scopus 로고
    • How children discover new strategies
    • NJ, Lawrence Erlbaum Associates
    • Siegler, R.S., & Jenkins, E. (1989). How children discover new strategies. Hilldale, NJ: Lawrence Erlbaum Associates.
    • (1989) Hilldale
    • Siegler, R.S.1    Jenkins, E.2
  • 59
    • 0020021236 scopus 로고
    • The development of numerical understandings
    • In 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 behavior (Vol.1, pp. 241-312). New York: Academic Press.
    • (1982) Advances in child development and behavior , vol.1 , pp. 241-312
    • Siegler, R.S.1    Robinson, M.2
  • 60
    • 0000360309 scopus 로고
    • Strategy choice in addition: How do children know what to do?
    • In C. Sophian (Ed.), Hillsdale, NJ, Lawrence Erlbaum Associates
    • Siegler, R.S., & Shrager, J. (1984). Strategy choice in addition: How do children know what to do? In C. Sophian (Ed.), Origins of cognitive skills (pp. 229-293). Hillsdale, NJ: Lawrence Erlbaum Associates.
    • (1984) Origins of cognitive skills , pp. 229-293
    • Siegler, R.S.1    Shrager, J.2
  • 61
    • 0039795156 scopus 로고    scopus 로고
    • A developmental perspective on children's counting
    • In C. Donlan (Ed.), Hove, East Sussex, England, Psychology Press
    • Sophian, C. (1998). A developmental perspective on children's counting. In C. Donlan (Ed.), The development of mathematical skills (pp. 27-46). Hove, East Sussex, England: Psychology Press.
    • (1998) The development of mathematical skills , pp. 27-46
    • Sophian, C.1
  • 62
    • 0141852089 scopus 로고
    • 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
  • 63
    • 0040746733 scopus 로고
    • Part-whole knowledge and early arithmetic problem solving
    • Sophian, C., & McCorgray, P. (1994). Part-whole knowledge and early arithmetic problem solving. Cognition and Instruction, 12, 3-33.
    • (1994) Cognition and Instruction , vol.12 , pp. 3-33
    • Sophian, C.1    McCorgray, P.2
  • 64
    • 3042665016 scopus 로고
    • The parts and wholes of arithmetic story problems: Developing knowledge in the preschool years
    • Sophian, C., & Vong, K.I. (1995). The parts and wholes of arithmetic story problems: Developing knowledge in the preschool years. Cognition and Instruction, 13, 469-477.
    • (1995) Cognition and Instruction , vol.13 , pp. 469-477
    • Sophian, C.1    Vong, K.I.2
  • 65
    • 0026860461 scopus 로고
    • 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
  • 66
    • 0019202374 scopus 로고
    • 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, R.G.2
  • 67
    • 0041124560 scopus 로고
    • Analysis of time required by children for simple addition
    • Svenson, O. (1975). Analysis of time required by children for simple addition. Acta Psychologica, 39, 284-302.
    • (1975) Acta Psychologica , vol.39 , pp. 284-302
    • Svenson, O.1
  • 68
    • 0004317894 scopus 로고
    • The psychology of arithmetic
    • New York, Macmillan
    • Thorndike, E.L. (1922). The psychology of arithmetic. New York: Macmillan.
    • (1922)
    • Thorndike, E.L.1
  • 70
    • 0347797032 scopus 로고
    • Interpretations of number operations and symbolic representations of addition and subtraction
    • In T.P. Carpenter, J.M. Moser, & T.A. Romberg (Eds.), Hillsdale, NJ, Lawrence Erlbaum Associates
    • Weaver, J.F. (1982). Interpretations of number operations and symbolic representations of addition and subtraction. In T.P. Carpenter, J.M. Moser, & T.A. Romberg (Eds.), Addition and subtraction: A cognitive perspective (pp. 60-66). Hillsdale, NJ: Lawrence Erlbaum Associates.
    • (1982) Addition and subtraction: A cognitive perspective , pp. 60-66
    • Weaver, J.F.1
  • 71
    • 0035343999 scopus 로고    scopus 로고
    • Kindergartners' understanding of additive commutativity within the contexts of word problems
    • Wilkins, J.L.M., Baroody, A.J., & Tiilikainen, S. (2001). Kindergartners' understanding of additive commutativity within the contexts of word problems. Journal of Experimental Child Psychology, 79, 23-36.
    • (2001) Journal of Experimental Child Psychology , vol.79 , pp. 23-36
    • Wilkins, J.L.M.1    Baroody, A.J.2    Tiilikainen, S.3
  • 72
    • 0026733446 scopus 로고
    • Addition and subtraction by human infants
    • Wynn, K. (1992). Addition and subtraction by human infants. Nature, 27, 749-750.
    • (1992) Nature , vol.27 , pp. 749-750
    • Wynn, K.1
  • 73
    • 0002806203 scopus 로고    scopus 로고
    • Numerical competence in infants
    • In C. Donlan (Ed.), Hove, East Sussex, England, Psychology Press
    • Wynn, K. (1998). Numerical competence in infants. In C. Donlan (Ed.), The development of mathematical skills (pp. 1-25). Hove, East Sussex, England: Psychology Press.
    • (1998) The development of mathematical skills , pp. 1-25
    • Wynn, K.1


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