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Volumn 39, Issue 4, 2011, Pages 561-579

A further study of productive failure in mathematical problem solving: Unpacking the design components

Author keywords

Complex problems; Failure; Mathematical problem solving; Multiple representations; Persistence

Indexed keywords


EID: 79958253115     PISSN: 00204277     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11251-010-9144-3     Document Type: Article
Times cited : (134)

References (37)
  • 1
    • 84857131064 scopus 로고    scopus 로고
    • Playing epistemic games in science and mathematics classrooms
    • (in press)
    • Bielaczyc, K., & Kapur, M. (in press). Playing epistemic games in science and mathematics classrooms. Educational Technology.
    • Educational Technology
    • Bielaczyc, K.1    Kapur, M.2
  • 4
    • 0002683175 scopus 로고    scopus 로고
    • Sources of conceptual change
    • E. K. Scholnick, K. Nelson, and P. Miller (Eds.), Mahwah, NJ: Lawrence Erlbaum Associates
    • Carey, S. (1999). Sources of conceptual change. In E. K. Scholnick, K. Nelson, & P. Miller (Eds.), Conceptual development: Piaget's legacy (pp. 293-326). Mahwah, NJ: Lawrence Erlbaum Associates.
    • (1999) Conceptual Development: Piaget's Legacy , pp. 293-326
    • Carey, S.1
  • 5
    • 58149410841 scopus 로고
    • Categorization and representation of physics problems by experts and novices
    • Chi, M. T. H., Feltovich, P. J., & Glaser, R. (1981). Categorization and representation of physics problems by experts and novices. Cognitive Science, 5, 121-152.
    • (1981) Cognitive Science , vol.5 , pp. 121-152
    • Chi, M.T.H.1    Feltovich, P.J.2    Glaser, R.3
  • 7
    • 0000871266 scopus 로고
    • Thoughts on a theory of constructive failure
    • Clifford, M. M. (1984). Thoughts on a theory of constructive failure. Educational Psychologist, 19(2), 108-120.
    • (1984) Educational Psychologist , vol.19 , Issue.2 , pp. 108-120
    • Clifford, M.M.1
  • 8
    • 0002853420 scopus 로고
    • Discourse, mathematical thinking and classroom practice
    • E. Forman, N. Minick, and C. Stone (Eds.), New York: Oxford University Press
    • Cobb, P., Wood, T., & Yackel, E. (1993). Discourse, mathematical thinking and classroom practice. In E. Forman, N. Minick, & C. Stone (Eds.), Contexts for learning: Sociocultural dynamics in children's development (pp. 91-119). New York: Oxford University Press.
    • (1993) Contexts for Learning: Sociocultural Dynamics in Children's Development , pp. 91-119
    • Cobb, P.1    Wood, T.2    Yackel, E.3
  • 9
    • 38049171927 scopus 로고    scopus 로고
    • A history of conceptual change research: Threads and fault lines
    • K. Sawyer (Ed.), Cambridge, UK: Cambridge University Press
    • diSessa, A. A. (2006). A history of conceptual change research: Threads and fault lines. In K. Sawyer (Ed.), Cambridge handbook of the learning sciences. Cambridge, UK: Cambridge University Press.
    • (2006) Cambridge Handbook of the Learning Sciences
    • Disessa, A.A.1
  • 11
    • 70350283382 scopus 로고    scopus 로고
    • Perspectives on representation in mathematical learning and problem solving
    • L. D. English (Ed.), New York, NY: Taylor & Francis
    • Goldin, G. A. (2008). Perspectives on representation in mathematical learning and problem solving. In L. D. English (Ed.), Handbook of international research in mathematics education (pp. 176-201). New York, NY: Taylor & Francis.
    • (2008) Handbook of International Research in Mathematics Education , pp. 176-201
    • Goldin, G.A.1
  • 13
    • 46849100254 scopus 로고    scopus 로고
    • Productive failure
    • Kapur, M. (2008). Productive failure. Cognition and Instruction, 26(3), 379-424.
    • (2008) Cognition and Instruction , vol.26 , Issue.3 , pp. 379-424
    • Kapur, M.1
  • 14
    • 77958476079 scopus 로고    scopus 로고
    • Productive failure in mathematical problem solving
    • doi: 10. 1007/s11251-009-9093-x
    • Kapur, M. (2009). Productive failure in mathematical problem solving. Instructional Science. doi: 10. 1007/s11251-009-9093-x.
    • (2009) Instructional Science
    • Kapur, M.1
  • 15
    • 58149331293 scopus 로고    scopus 로고
    • Productive failure in mathematical problem solving
    • B. C. Love, K. McRae, and V. M. Sloutsky (Eds.), Austin, TX: Cognitive Science Society
    • Kapur, M., Dickson, L., & Toh, P. Y. (2008). Productive failure in mathematical problem solving. In B. C. Love, K. McRae, & V. M. Sloutsky (Eds.), Proceedings of the 30th annual conference of the cognitive science society (pp. 1717-1722). Austin, TX: Cognitive Science Society.
    • (2008) Proceedings of the 30th Annual Conference of the Cognitive Science Society , pp. 1717-1722
    • Kapur, M.1    Dickson, L.2    Toh, P.Y.3
  • 17
    • 34548484133 scopus 로고    scopus 로고
    • The effect of problem type on interactional activity, inequity, and group performance in a synchronous computer-supported collaborative environment
    • Kapur, M., & Kinzer, C. (2007). The effect of problem type on interactional activity, inequity, and group performance in a synchronous computer-supported collaborative environment. Educational Technology, Research and Development, 55(5), 439-459.
    • (2007) Educational Technology, Research and Development , vol.55 , Issue.5 , pp. 439-459
    • Kapur, M.1    Kinzer, C.2
  • 19
    • 78650705887 scopus 로고    scopus 로고
    • Designing for productive failure in mathematical problem solving
    • N. Taatgen and V. R. Hedderick (Eds.), Austin, TX: Cognitive Science Society
    • Kapur, M., & Lee, J. (2009). Designing for productive failure in mathematical problem solving. In N. Taatgen & V. R. Hedderick (Eds.), Proceedings of the 31st annual conference of the cognitive science society (pp. 2632-2637). Austin, TX: Cognitive Science Society.
    • (2009) Proceedings of the 31st Annual Conference of the Cognitive Science Society , pp. 2632-2637
    • Kapur, M.1    Lee, J.2
  • 20
    • 84858418628 scopus 로고    scopus 로고
    • Productive failure in learning the concept of variance
    • In R. Catrambone & S. Ohlsson (Eds.), Austin, TX: Cognitive Science Society (in press)
    • Kapur, M., & Lee, J. (2010). Productive failure in learning the concept of variance. In R. Catrambone & S. Ohlsson (Eds.), Proceedings of the 32nd annual conference of the cognitive science society. Austin, TX: Cognitive Science Society (in press).
    • (2010) Proceedings of the 32nd annual conference of the cognitive science society
    • Kapur, M.1    Lee, J.2
  • 22
  • 23
    • 33744807434 scopus 로고    scopus 로고
    • Why minimal guidance during instruction does not work
    • Kirschner, P. A., Sweller, J., & Clark, R. E. (2006). Why minimal guidance during instruction does not work. Educational Psychologist, 41(2), 75-86.
    • (2006) Educational Psychologist , vol.41 , Issue.2 , pp. 75-86
    • Kirschner, P.A.1    Sweller, J.2    Clark, R.E.3
  • 24
    • 34548571747 scopus 로고    scopus 로고
    • Exploring the assistance dilemma in experiments with cognitive tutors
    • Koedinger, K. R., & Aleven, V. (2007). Exploring the assistance dilemma in experiments with cognitive tutors. Educational Psychological Review, 19(3), 239-264.
    • (2007) Educational Psychological Review , vol.19 , Issue.3 , pp. 239-264
    • Koedinger, K.R.1    Aleven, V.2
  • 26
    • 4043063651 scopus 로고    scopus 로고
    • The social and technological dimensions of scaffolding and related theoretical concepts of learning, education, and human activity
    • Pea, R. D. (2004). The social and technological dimensions of scaffolding and related theoretical concepts of learning, education, and human activity. Journal of the Learning Sciences, 13(3), 423-451.
    • (2004) Journal of the Learning Sciences , vol.13 , Issue.3 , pp. 423-451
    • Pea, R.D.1
  • 28
    • 15944396939 scopus 로고    scopus 로고
    • Tools for scaffolding students in a complex learning environment: What have we gained and what have we missed?
    • Puntambekar, S., & Hübscher, R. (2005). Tools for scaffolding students in a complex learning environment: What have we gained and what have we missed? Educational Psychologist, 40(1), 1-12.
    • (2005) Educational Psychologist , vol.40 , Issue.1 , pp. 1-12
    • Puntambekar, S.1    Hübscher, R.2
  • 29
    • 84965393809 scopus 로고
    • New conceptualizations of practice: Common principles in three paradigms suggest new concepts for training
    • Schmidt, R. A., & Bjork, R. A. (1992). New conceptualizations of practice: Common principles in three paradigms suggest new concepts for training. Psychological Science, 3(4), 207-217.
    • (1992) Psychological Science , vol.3 , Issue.4 , pp. 207-217
    • Schmidt, R.A.1    Bjork, R.A.2
  • 30
    • 79958249801 scopus 로고    scopus 로고
    • Research methods in mathematics education
    • L. D. English (Ed.), New York, NY: Taylor & Francis
    • Schoenfeld, A. H. (2008). Research methods in mathematics education. In L. D. English (Ed.), Handbook of international research in mathematics education (pp. 467-519). New York, NY: Taylor & Francis.
    • (2008) Handbook of International Research in Mathematics Education , pp. 467-519
    • Schoenfeld, A.H.1
  • 32
    • 3042583333 scopus 로고    scopus 로고
    • Inventing to prepare for future learning: The hidden efficiency of encouraging original student production in statistics instruction
    • Schwartz, D. L., & Martin, T. (2004). Inventing to prepare for future learning: The hidden efficiency of encouraging original student production in statistics instruction. Cognition and Instruction, 22(2), 129-184.
    • (2004) Cognition and Instruction , vol.22 , Issue.2 , pp. 129-184
    • Schwartz, D.L.1    Martin, T.2
  • 33
    • 84909263446 scopus 로고    scopus 로고
    • What human cognitive architecture tells us about constructivism
    • S. Tobias and T. M. Duffy (Eds.), New York, NJ: Routledge
    • Sweller, J. (2010). What human cognitive architecture tells us about constructivism. In S. Tobias & T. M. Duffy (Eds.), Constructivist instruction: Success or failure (pp. 127-143). New York, NJ: Routledge.
    • (2010) Constructivist Instruction: Success Or Failure , pp. 127-143
    • Sweller, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.