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Volumn 91, Issue 1, 1999, Pages 175-189

Conceptual and procedural knowledge of mathematics: Does one lead to the other?

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EID: 0033084379     PISSN: 00220663     EISSN: None     Source Type: Journal    
DOI: 10.1037/0022-0663.91.1.175     Document Type: Article
Times cited : (395)

References (50)
  • 1
    • 0009373866 scopus 로고    scopus 로고
    • The relation between problem encoding and solution strategies: Evidence from mathematical equations
    • June. Chicago, Illinois
    • Alibali, M. W. (1998, June). The relation between problem encoding and solution strategies: Evidence from mathematical equations. Poster presented at the 28th Annual Symposium of the Jean Piaget Society, Chicago, Illinois.
    • (1998) 28th Annual Symposium of the Jean Piaget Society
    • Alibali, M.W.1
  • 2
    • 0032608342 scopus 로고    scopus 로고
    • How children change their minds: Strategy change can be gradual or abrupt
    • Alibali, M. W. (1999). How children change their minds: Strategy change can be gradual or abrupt. Developmental Psychology, 35, 127-145.
    • (1999) Developmental Psychology , vol.35 , pp. 127-145
    • Alibali, M.W.1
  • 3
    • 0027686290 scopus 로고
    • Transitions in learning: What the hands reveal about a child's state of mind
    • Alibali, M. W., & Goldin-Meadow, S. (1993). Transitions in learning: What the hands reveal about a child's state of mind. Cognitive Psychology, 25, 468-523.
    • (1993) Cognitive Psychology , vol.25 , pp. 468-523
    • Alibali, M.W.1    Goldin-Meadow, S.2
  • 4
    • 0002530202 scopus 로고    scopus 로고
    • What makes children change their minds? Changes in problem encoding lead to changes in strategy selection
    • M. A. Gernsbacher & S. Derry (Eds.), Mahwah, NJ: Erlbaum
    • Alibali, M. W., McNeil, N. M., & Perrott, M. A. (1998). What makes children change their minds? Changes in problem encoding lead to changes in strategy selection. In M. A. Gernsbacher & S. Derry (Eds.), Proceedings of the 20th Annual Conference of the Cognitive Science Society (pp. 36-41). Mahwah, NJ: Erlbaum.
    • (1998) Proceedings of the 20th Annual Conference of the Cognitive Science Society , pp. 36-41
    • Alibali, M.W.1    McNeil, N.M.2    Perrott, M.A.3
  • 5
    • 0001754927 scopus 로고
    • The effects of instruction on children's understanding of the "equals" sign
    • Baroody, A. J., & Ginsburg, H. (1983). The effects of instruction on children's understanding of the "equals" sign. Elementary School Journal, 84, 199-212.
    • (1983) Elementary School Journal , vol.84 , pp. 199-212
    • Baroody, A.J.1    Ginsburg, H.2
  • 6
    • 84963145316 scopus 로고
    • 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
  • 8
    • 0000390794 scopus 로고
    • A featural analysis of preschoolers' counting knowledge
    • Briars, D., & Siegler, R. S. (1984). A featural analysis of preschoolers' counting knowledge. Developmental Psychology, 20, 607-618.
    • (1984) Developmental Psychology , vol.20 , pp. 607-618
    • Briars, D.1    Siegler, R.S.2
  • 9
    • 38249013703 scopus 로고
    • The conceptual basis of procedural learning
    • Byrnes, J. P. (1992). The conceptual basis of procedural learning. Cognitive Development, 7, 235-257.
    • (1992) Cognitive Development , vol.7 , pp. 235-257
    • Byrnes, J.P.1
  • 10
    • 0000973077 scopus 로고
    • Role of conceptual knowledge in mathematical procedural learning
    • Byrnes, J. P., & Wasik, B. A. (1991). Role of conceptual knowledge in mathematical procedural learning. Developmental Psychology, 27, 777-786.
    • (1991) Developmental Psychology , vol.27 , pp. 777-786
    • Byrnes, J.P.1    Wasik, B.A.2
  • 11
    • 0001303948 scopus 로고
    • Construction of logical knowledge: Study of borrowing in subtraction
    • Cauley, K. M. (1988). Construction of logical knowledge: Study of borrowing in subtraction. Journal of Educational Psychology, 80, 202-205.
    • (1988) Journal of Educational Psychology , vol.80 , pp. 202-205
    • Cauley, K.M.1
  • 12
    • 0040577762 scopus 로고
    • Self-explanations: How students study and use examples in learning to solve problems
    • Chi, M. T. H., Bassok, M., Lewis, M. W., Reimann, P., & Glaser, R. (1989). Self-explanations: How students study and use examples in learning to solve problems. Cognitive Science, 13, 145-182.
    • (1989) Cognitive Science , vol.13 , pp. 145-182
    • Chi, M.T.H.1    Bassok, M.2    Lewis, M.W.3    Reimann, P.4    Glaser, R.5
  • 14
    • 0009414603 scopus 로고
    • An investigation of young children's academic arithmetic contexts
    • Cobb, P. (1987). An investigation of young children's academic arithmetic contexts. Educational Studies in Mathematics, 13, 109-124.
    • (1987) Educational Studies in Mathematics , vol.13 , pp. 109-124
    • Cobb, P.1
  • 15
    • 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, 409-422.
    • (1996) Educational Psychology , vol.16 , pp. 409-422
    • Cowan, R.1    Renton, M.2
  • 16
    • 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
  • 17
    • 0031093101 scopus 로고    scopus 로고
    • Age differences in, and consequences of, multiple-and variable-strategy use on a multi-trial sort-recall task
    • Coyle, T. R., & Bjorklund, D. F. (1997). Age differences in, and consequences of, multiple-and variable-strategy use on a multi-trial sort-recall task. Developmental Psychology, 33, 372-380.
    • (1997) Developmental Psychology , vol.33 , pp. 372-380
    • Coyle, T.R.1    Bjorklund, D.F.2
  • 18
    • 34248155123 scopus 로고    scopus 로고
    • The developmental role of intuitive principles in choosing mathematical strategies
    • Dixon, J. A., & Moore, C. F. (1996). The developmental role of intuitive principles in choosing mathematical strategies. Developmental Psychology, 32, 241-253.
    • (1996) Developmental Psychology , vol.32 , pp. 241-253
    • Dixon, J.A.1    Moore, C.F.2
  • 20
    • 0000328498 scopus 로고
    • Using a base-ten blocks learning/teaching approach for first-and second-grade place-value and multidigit addition and subtraction
    • Fuson, K. C., & Briars, D. (1990). Using a base-ten blocks learning/teaching approach for first-and second-grade place-value and multidigit addition and subtraction. Journal for Research in Mathematics Education, 21, 180-206.
    • (1990) Journal for Research in Mathematics Education , vol.21 , pp. 180-206
    • Fuson, K.C.1    Briars, D.2
  • 22
    • 84963486674 scopus 로고
    • 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
  • 24
    • 0020758965 scopus 로고
    • Preschoolers' counting: Principles before skill
    • Gelman, R., & Meek, E. (1983). Preschoolers' counting: Principles before skill. Cognition, 13, 343-359.
    • (1983) Cognition , vol.13 , pp. 343-359
    • Gelman, R.1    Meek, E.2
  • 25
  • 26
    • 0001721873 scopus 로고    scopus 로고
    • Enabling constraints for cognitive development and learning: Domain specificity and epigenesis
    • W. Damon (Series Ed.), D. Kuhn, & R. S. Siegler (Vol. Eds.), New York: Wiley
    • Gelman, R., & Williams, E. M. (1997). Enabling constraints for cognitive development and learning: Domain specificity and epigenesis. In W. Damon (Series Ed.), D. Kuhn, & R. S. Siegler (Vol. Eds.), Handbook of child psychology: Vol. 2, Cognition, perception, and language (5th ed., pp. 575-630). New York: Wiley.
    • (1997) Handbook of Child Psychology: Vol. 2, Cognition, Perception, and Language 5th Ed. , vol.2 , pp. 575-630
    • Gelman, R.1    Williams, E.M.2
  • 28
    • 85065690804 scopus 로고
    • Procedures over concepts: The acquisition of decimal number knowledge
    • J. Hiebert (Ed.), Hillsdale, NJ: Erlbaum
    • Hiebert, J., & Wearne, D. (1986). Procedures over concepts: The acquisition of decimal number knowledge. In J. Hiebert (Ed.), Conceptual and procedural knowledge: The case of mathematics (pp. 199-224). Hillsdale, NJ: Erlbaum.
    • (1986) Conceptual and Procedural Knowledge: The Case of Mathematics , pp. 199-224
    • Hiebert, J.1    Wearne, D.2
  • 29
    • 0002576037 scopus 로고
    • Links between teaching and learning place value with understanding in first grade
    • Hiebert, J., & Wearne, D. (1992). Links between teaching and learning place value with understanding in first grade. Journal for Research in Mathematics Education, 23, 98-122.
    • (1992) Journal for Research in Mathematics Education , vol.23 , pp. 98-122
    • Hiebert, J.1    Wearne, D.2
  • 30
    • 0000367083 scopus 로고    scopus 로고
    • Instruction, understanding and skill in multidigit addition and instruction
    • Hiebert, J., & Wearne, D. (1996). Instruction, understanding and skill in multidigit addition and instruction. Cognition and Instruction, 14, 251-283.
    • (1996) Cognition and Instruction , vol.14 , pp. 251-283
    • Hiebert, J.1    Wearne, D.2
  • 31
    • 0022742831 scopus 로고
    • From meta-processes to conscious access: Evidence from children's metalinguistic and repair data
    • Karmiloff-Smith, A. (1986). From meta-processes 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
  • 33
    • 0001071316 scopus 로고
    • Concepts associated with the equality symbol
    • Kieran, C. (1981). Concepts associated with the equality symbol. Educational Studies in Mathematics, 12, 317-326.
    • (1981) Educational Studies in Mathematics , vol.12 , pp. 317-326
    • Kieran, C.1
  • 35
    • 0002908327 scopus 로고    scopus 로고
    • Implicit strategies and errors in an improved model of early algebra problem solving
    • M. G. Shafto & P. Langley (Eds.), Hillsdale, NJ: Erlbaum
    • Koedinger, K. R., & MacLaren, B. A. (1997). Implicit strategies and errors in an improved model of early algebra problem solving. In M. G. Shafto & P. Langley (Eds.), Proceedings of the 19th Annual Conference of the Cognitive Science Society (pp. 382-387). Hillsdale, NJ: Erlbaum.
    • (1997) Proceedings of the 19th Annual Conference of the Cognitive Science Society , pp. 382-387
    • Koedinger, K.R.1    Maclaren, B.A.2
  • 38
    • 0000761881 scopus 로고
    • Learning and transfer: Instructional conditions and conceptual change
    • Perry, M. (1991). Learning and transfer: Instructional conditions and conceptual change. Cognitive Development, 6, 449-468.
    • (1991) Cognitive Development , vol.6 , pp. 449-468
    • Perry, M.1
  • 39
    • 0000345932 scopus 로고
    • Transitional knowledge in the acquisition of concepts
    • Perry, M., Church, R. B., & Goldin-Meadow, S. (1988). Transitional knowledge in the acquisition of concepts. Cognitive Development, 3, 359-400.
    • (1988) Cognitive Development , vol.3 , pp. 359-400
    • Perry, M.1    Church, R.B.2    Goldin-Meadow, S.3
  • 40
    • 0001486010 scopus 로고
    • Learning strategies and transfer in the domain of programming
    • Pirolli, P., & Recker, M. (1994). Learning strategies and transfer in the domain of programming. Cognition and Instruction, 12, 235-275.
    • (1994) Cognition and Instruction , vol.12 , pp. 235-275
    • Pirolli, P.1    Recker, M.2
  • 41
    • 0030640252 scopus 로고    scopus 로고
    • Learning from worked-out examples: A study on individual differences
    • Renkl, A. (1997). Learning from worked-out examples: A study on individual differences. Cognitive Science, 21, 1-29.
    • (1997) Cognitive Science , vol.21 , pp. 1-29
    • Renkl, A.1
  • 42
    • 0002714678 scopus 로고
    • 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
  • 43
    • 0002112343 scopus 로고    scopus 로고
    • The relations between conceptual and procedural knowledge in learning mathematics: A review
    • in press. C. Donlan (Ed.), Hove, UK: Psychology Press
    • Rittle-Johnson, B., & Siegler, R. S. (in press). The relations between conceptual and procedural knowledge in learning mathematics: A review. In C. Donlan (Ed.), The development of mathematical skill. Hove, UK: Psychology Press.
    • The Development of Mathematical Skill
    • Rittle-Johnson, B.1    Siegler, R.S.2
  • 44
    • 24944477378 scopus 로고
    • The gain and the pitfalls of reification - The case of algebra
    • Sfard, A., & Linchevski, L. (1994). The gain and the pitfalls of reification - The case of algebra. Educational Studies in Mathematics, 26, 191-228.
    • (1994) Educational Studies in Mathematics , vol.26 , pp. 191-228
    • Sfard, A.1    Linchevski, L.2
  • 45
    • 0001303441 scopus 로고
    • Three aspects of cognitive development
    • Siegler, R. S. (1976). Three aspects of cognitive development. Cognitive Psychology, 8, 481-520.
    • (1976) Cognitive Psychology , vol.8 , pp. 481-520
    • Siegler, R.S.1
  • 46
    • 0000354403 scopus 로고
    • In young children's counting, procedures precede principles
    • Siegler, R. S. (1991). In young children's counting, procedures precede principles. Educational Psychology Review, 3, 127-135.
    • (1991) Educational Psychology Review , vol.3 , pp. 127-135
    • Siegler, R.S.1
  • 47
    • 0029320238 scopus 로고
    • How does change occur? A microgenetic study of number conservation
    • Siegler, R. S. (1995). How does change occur? A microgenetic study of number conservation. Cognitive Psychology, 28, 225-273.
    • (1995) Cognitive Psychology , vol.28 , pp. 225-273
    • Siegler, R.S.1
  • 48
    • 0028520408 scopus 로고
    • 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
  • 50
    • 0025473241 scopus 로고
    • 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


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