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Volumn 58, Issue 1, 2005, Pages 45-75

The cyclic nature of problem solving: An emergent multidimensional problem-solving framework

Author keywords

Affect; Conceptual knowledge; Control; Mathematical behavior; Mathematics practices; Metacognition; Problem solving

Indexed keywords


EID: 17444383058     PISSN: 00131954     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10649-005-0808-x     Document Type: Article
Times cited : (179)

References (30)
  • 1
    • 4544286361 scopus 로고    scopus 로고
    • A cross-sectional investigation of the development of the function concept
    • A.H. Schoenfeld , J. Kaput, and E. Dubinsky (eds.), American Mathematical Association, Providence
    • Carlson, M.P.: 1998, 'A cross-sectional investigation of the development of the function concept', in A.H. Schoenfeld , J. Kaput, and E. Dubinsky (eds.), Research in Collegiate Mathematics Education III, Vol. 7, American Mathematical Association, Providence, pp. 114-162.
    • (1998) Research in Collegiate Mathematics Education III , vol.7 , pp. 114-162
    • Carlson, M.P.1
  • 2
    • 4544318029 scopus 로고    scopus 로고
    • The mathematical behavior of six successful mathematics graduate students: Influences leading to mathematical success
    • Carlson, M.P.: 1999a, "The mathematical behavior of six successful mathematics graduate students: Influences leading to mathematical success', Educational Studies in Mathematics 40, 237-258.
    • (1999) Educational Studies in Mathematics , vol.40 , pp. 237-258
    • Carlson, M.P.1
  • 3
    • 37349095782 scopus 로고    scopus 로고
    • A study of the problem solving behaviors of mathematicians: Metacognition and mathematical intimacy in expert problem solvers
    • Haifa, Israel
    • Carlson, M.P.: 1999b, 'A study of the problem solving behaviors of mathematicians: Metacognition and mathematical intimacy in expert problem solvers', in 24th Meeting of the International Group for the Psychology of Mathematics Education, Haifa, Israel, pp. 137-144.
    • (1999) 24th Meeting of the International Group for the Psychology of Mathematics Education , pp. 137-144
    • Carlson, M.P.1
  • 4
    • 17444367390 scopus 로고    scopus 로고
    • Mathematical intimacy: Local affect in powerful problem solvers
    • Eric Clearinghouse for Science, Mathematics and Environmental Education
    • DeBellis, V.A.: 1998, 'Mathematical intimacy: Local affect in powerful problem solvers', in Twentieth Annual Meeting of the North American Group for the Psychology of Mathematics Education, Eric Clearinghouse for Science, Mathematics and Environmental Education, pp. 435-440.
    • (1998) Twentieth Annual Meeting of the North American Group for the Psychology of Mathematics Education , pp. 435-440
    • DeBellis, V.A.1
  • 7
    • 0011092830 scopus 로고    scopus 로고
    • A perspective on mathematical problem-solving expertise based on the performances of male Ph.D. mathematicians
    • American Mathematical Association, Providence, RI
    • DeFranco, T.C.: 1996, 'A perspective on mathematical problem-solving expertise based on the performances of male Ph.D. mathematicians', Research in Collegiate Mathematics, II Vol. 6, American Mathematical Association, Providence, RI, pp. 195-213.
    • (1996) Research in Collegiate Mathematics, II , vol.6 , pp. 195-213
    • DeFranco, T.C.1
  • 9
    • 17444416165 scopus 로고    scopus 로고
    • Cognitive emotions in learning and doing mathematics
    • Nicosia, Cyprus, University of Cyprus
    • Hannula, M.: 1999, 'Cognitive emotions in learning and doing mathematics', in Eighth European Workshop on Research on Mathematical Beliefs, Nicosia, Cyprus, University of Cyprus, pp. 57-66.
    • (1999) Eighth European Workshop on Research on Mathematical Beliefs , pp. 57-66
    • Hannula, M.1
  • 10
    • 17444388067 scopus 로고
    • An analysis of the individual structure of mathematical abilities in schoolchildren
    • J. Kilpatrick and I. Wirzup (Eds.), Chicago, University of Chicago
    • Krutetskii, V.A.: 1969, 'An analysis of the individual structure of mathematical abilities in schoolchildren', in J. Kilpatrick and I. Wirzup (Eds.), Soviet Studies in the Psychology of Learning and Teaching Mathematics, Vol. 2, Chicago, University of Chicago.
    • (1969) Soviet Studies in the Psychology of Learning and Teaching Mathematics , vol.2
    • Krutetskii, V.A.1
  • 11
    • 85092750682 scopus 로고
    • Conceptual analysis of problem-solving performance
    • E.A. Silver (Ed.), Lawrence Erlbaum Association, Hillsdale
    • Lesh, R.: 1985, 'Conceptual analysis of problem-solving performance', in E.A. Silver (Ed.), Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives, Lawrence Erlbaum Association, Hillsdale, pp. 309-329.
    • (1985) Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives , pp. 309-329
    • Lesh, R.1
  • 12
    • 0043241202 scopus 로고
    • Applied problem solving: Priorities for mathematics education research
    • F.K. Lester and J. Garofalo (eds.), Franklin Institute Press, Philadelphia
    • Lesh, R. and Akerstrom, M.: 1982, 'Applied problem solving: Priorities for mathematics education research', in F.K. Lester and J. Garofalo (eds.), Mathematical Problem Solving: Issues in Research, Franklin Institute Press, Philadelphia, pp. 117-129.
    • (1982) Mathematical Problem Solving: Issues in Research , pp. 117-129
    • Lesh, R.1    Akerstrom, M.2
  • 13
    • 0039345889 scopus 로고
    • Musings about mathematical problem solving research: 1970-1994
    • Lester, F.K.: 1994, 'Musings about mathematical problem solving research: 1970-1994', Journal for Research in Mathematics Education 25, 660-675.
    • (1994) Journal for Research in Mathematics Education , vol.25 , pp. 660-675
    • Lester, F.K.1
  • 15
    • 0002638210 scopus 로고
    • Self-confidence, interest, beliefs, and metacognition: Key influences on problem-solving behavior
    • D.B. McLeod and V.M. Adams (eds.), Springer-Verlag, New York
    • Lester, F.K., Garofalo, J. and Kroll, D.L.: 1989b, 'Self-confidence, interest, beliefs, and metacognition: Key influences on problem-solving behavior', in D.B. McLeod and V.M. Adams (eds.), Affect and Mathematical Problem Solving: A New Perspective, Springer-Verlag, New York, pp. 75-88.
    • (1989) Affect and Mathematical Problem Solving: A New Perspective , pp. 75-88
    • Lester, F.K.1    Garofalo, J.2    Kroll, D.L.3
  • 16
    • 33947725715 scopus 로고    scopus 로고
    • Beyond mere knowledge of mathematics: The importance of knowing-to-act in the moment
    • Mason, J. and Spence, M.: 1999, 'Beyond mere knowledge of mathematics: The importance of knowing-to-act in the moment', Educational Studies in Mathematics 38, 135-161.
    • (1999) Educational Studies in Mathematics , vol.38 , pp. 135-161
    • Mason, J.1    Spence, M.2
  • 17
    • 0002568237 scopus 로고
    • Research on affect in mathematics education: A reconceptualization
    • D.A. Grouws (Ed.), Macmillan Publishing Company, New York, NY
    • McLeod,D.B.: 1992, 'Research on affect in mathematics education: A reconceptualization', in D.A. Grouws (Ed.), Handbook of Research on Mathematics Teaching and learning, Macmillan Publishing Company, New York, NY, pp. 575-595.
    • (1992) Handbook of Research on Mathematics Teaching and Learning , pp. 575-595
    • McLeod, D.B.1
  • 20
    • 0010906710 scopus 로고
    • Some thoughts on problem solving research and mathematics education
    • F.K. Lester and J. Garofalo (eds.), Franklin Institute PressPhiladelphia
    • Schoenfeld, A.H.: 1982, 'Some thoughts on problem solving research and mathematics education', in F.K. Lester and J. Garofalo (eds.), Mathematical Problem Solving: Issues in Research, Franklin Institute PressPhiladelphia, pp. 27-37.
    • (1982) Mathematical Problem Solving: Issues in Research , pp. 27-37
    • Schoenfeld, A.H.1
  • 21
    • 17444387138 scopus 로고
    • The wild, wild, wild, wild, wild world of problem solving: A review of sorts
    • Schoenfeld, A.H.: 1983, "The wild, wild, wild, wild, wild world of problem solving: A review of sorts', For the Learning of Mathematics 3, 40-47.
    • (1983) For the Learning of Mathematics , vol.3 , pp. 40-47
    • Schoenfeld, A.H.1
  • 23
    • 85068031447 scopus 로고
    • Cognitive science and mathematics education: An overview
    • A.H. Schoenfeld (Ed.), Lawrence Erlbaum Associates, London
    • Schoenfeld, A.H.: 1987, 'Cognitive science and mathematics education: An overview', in A.H. Schoenfeld (Ed.), Cognitive Science and Mathematics Education, Lawrence Erlbaum Associates, London, pp. 1-31.
    • (1987) Cognitive Science and Mathematics Education , pp. 1-31
    • Schoenfeld, A.H.1
  • 24
  • 25
    • 0002242225 scopus 로고
    • Learning to think mathematically: Problem solving, metacognition and sense-making in mathematics
    • D.A. Grouws (Ed.), Macmillan Publishing Company, New York
    • Schoenfeld, A.H.: 1992, 'Learning to think mathematically: Problem solving, metacognition and sense-making in mathematics', in D.A. Grouws (Ed.), Handbook for Research on Mathematics Teaching and Learning, Macmillan Publishing Company, New York, pp. 334-370.
    • (1992) Handbook for Research on Mathematics Teaching and Learning , pp. 334-370
    • Schoenfeld, A.H.1
  • 26
    • 17444394546 scopus 로고
    • Thinking about problem solving: Toward an understanding of metacognitive aspects of mathematical problem solving
    • Suva, Fiji
    • Silver, E. A.: 1982, "Thinking about problem solving: Toward an understanding of metacognitive aspects of mathematical problem solving', in Conference on Thinking, Suva, Fiji.
    • (1982) Conference on Thinking
    • Silver, E.A.1
  • 27
    • 0000092319 scopus 로고    scopus 로고
    • Beyond inductive and deductive reasoning: The search for a sense of knowing
    • Simon, M.A.: 1996, 'Beyond inductive and deductive reasoning: The search for a sense of knowing', Educational Studies in Mathematics 30, 197-210.
    • (1996) Educational Studies in Mathematics , vol.30 , pp. 197-210
    • Simon, M.A.1
  • 28
    • 54649083588 scopus 로고    scopus 로고
    • Applying mathematics with real world connections: Metacognitive characteristics of secondary students
    • Stillman, G.A. and Galbraith, P.L.: 1998, 'Applying mathematics with real world connections: Metacognitive characteristics of secondary students', Educational Studies in Mathematics 36, 157-195.
    • (1998) Educational Studies in Mathematics , vol.36 , pp. 157-195
    • Stillman, G.A.1    Galbraith, P.L.2
  • 30
    • 0011938298 scopus 로고    scopus 로고
    • The pseudo-conceptual and the pseudo-analytical thought processes in mathematics learning
    • Vinner, S.: 1997, 'The pseudo-conceptual and the pseudo-analytical thought processes in mathematics learning', Educational Studies in Mathematics 34, 97-129.
    • (1997) Educational Studies in Mathematics , vol.34 , pp. 97-129
    • Vinner, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.