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Volumn 43, Issue 6, 2012, Pages 749-764

University students' retention of derivative concepts 14 months after the course: Influence of 'met-befores' and 'met-afters'

Author keywords

calculus; conceptual; derivative; memory; met afters; met befores; procedural; retention

Indexed keywords


EID: 84865280647     PISSN: 0020739X     EISSN: 14645211     Source Type: Journal    
DOI: 10.1080/0020739X.2012.662300     Document Type: Article
Times cited : (6)

References (33)
  • 3
    • 34548460941 scopus 로고
    • A study of difficulties experienced with mathematics students in higher education
    • Morgan, AT. 1990. A study of difficulties experienced with mathematics students in higher education. Int. J. Math. Educ. Sci. Technol., 21(6): 975-988.
    • (1990) Int. J. Math. Educ. Sci. Technol. , vol.21 , Issue.6 , pp. 975-988
    • Morgan, A.T.1
  • 4
    • 38549107986 scopus 로고    scopus 로고
    • Difficulties in the passage from secondary to tertiary education
    • Guzman, M, Hodgson, B, Robert, A and Villani, V. 1998. Difficulties in the passage from secondary to tertiary education. Doc. Math., ICM, 3: 747-762.
    • (1998) Doc. Math., ICM , vol.3 , pp. 747-762
    • Guzman, M.1    Hodgson, B.2    Robert, A.3    Villani, V.4
  • 5
    • 34548441833 scopus 로고    scopus 로고
    • A questionnaire to elicit concept images of engineering students
    • Maull, W and Berry, J. 2000. A questionnaire to elicit concept images of engineering students. Int. J. Math. Educ. Sci. Technol., 31(6): 899-917.
    • (2000) Int. J. Math. Educ. Sci. Technol. , vol.31 , Issue.6 , pp. 899-917
    • Maull, W.1    Berry, J.2
  • 6
    • 34548379490 scopus 로고    scopus 로고
    • Engineering students' conceptions of the derivative and some implications for their mathematical education
    • Bingolbali, E, Monaghan, J and Roper, T. 2007. Engineering students' conceptions of the derivative and some implications for their mathematical education. Int. J. Math. Educ. Sci. Technol., 38(6): 763-777.
    • (2007) Int. J. Math. Educ. Sci. Technol. , vol.38 , Issue.6 , pp. 763-777
    • Bingolbali, E.1    Monaghan, J.2    Roper, T.3
  • 7
  • 8
    • 84865291468 scopus 로고    scopus 로고
    • What affects retention of core calculus concepts among university students? A study of different teaching approaches in Croatia and Denmark
    • Poland, Rzeszów, CERME
    • Lj. Jukić and B. Dahl, What affects retention of core calculus concepts among university students? A study of different teaching approaches in Croatia and Denmark, Proceedings of the 7th Congress of the European Society for Research in Mathematics Education, Poland, Rzeszów, CERME 2011,pp. 2033-2042
    • (2011) Proceedings of the 7th Congress of the European Society for Research in Mathematics Education , pp. 2033-2042
    • Jukić, L.1    Dahl, B.2
  • 11
    • 85065691630 scopus 로고
    • Conceptual and procedural knowledge in mathematics: an introductory analysis
    • In: Hiebert J, editors Hillsdale, NJ: Lawrence Erlbaum Mathematics
    • Hiebert, J and Lefevre, P. 1986. "Conceptual and procedural knowledge in mathematics: an introductory analysis". In Conceptual and Procedural Knowledge: The Case of Mathematics, Edited by: Hiebert, J. Vol. 22, 1-36. Hillsdale, NJ: Lawrence Erlbaum Mathematics.
    • (1986) Conceptual and Procedural Knowledge: The Case of Mathematics , vol.22 , pp. 1-36
    • Hiebert, J.1    Lefevre, P.2
  • 12
    • 27744470274 scopus 로고    scopus 로고
    • Re-conceptualizing procedural knowledge
    • Star, JR. 2005. Re-conceptualizing procedural knowledge. J. Res. Math. Educ., 36(5): 127-155.
    • (2005) J. Res. Math. Educ. , vol.36 , Issue.5 , pp. 127-155
    • Star, J.R.1
  • 13
    • 0007243210 scopus 로고    scopus 로고
    • Two types of mathematical knowledge and their relation
    • Haapasalo, L and Kadijevich, Dj. 2000. Two types of mathematical knowledge and their relation. J. Für Math.-Didakt., 21(2): 139-157.
    • (2000) J. Für Math.-Didakt. , vol.21 , Issue.2 , pp. 139-157
    • Haapasalo, L.1    Kadijevich, D.2
  • 14
    • 42749091373 scopus 로고    scopus 로고
    • A theory of mathematical growth through embodiment, symbolism and proof
    • Tall, D. 2006. A theory of mathematical growth through embodiment, symbolism and proof. Ann. Didact. Sci. Cognitives, IREM Strasbourg, 11: 195-215.
    • (2006) Ann. Didact. Sci. Cognitives, IREM Strasbourg , vol.11 , pp. 195-215
    • Tall, D.1
  • 15
    • 37649015316 scopus 로고    scopus 로고
    • Procedural embodiment and magic in linear equations
    • Nogueira de Lima, R and Tall, D. 2008. Procedural embodiment and magic in linear equations. Educ. Stud. Math., 67(1): 3-18.
    • (2008) Educ. Stud. Math. , vol.67 , Issue.1 , pp. 3-18
    • Nogueira de Lima, R.1    Tall, D.2
  • 16
    • 77957878691 scopus 로고    scopus 로고
    • Metaphor or met-before? The effects of previous experience on the practice and theory of learning mathematics
    • McGowen, M and Tall, D. 2010. Metaphor or met-before? The effects of previous experience on the practice and theory of learning mathematics. J. Math. Behav., 29: 169-179.
    • (2010) J. Math. Behav. , vol.29 , pp. 169-179
    • McGowen, M.1    Tall, D.2
  • 18
    • 69449107375 scopus 로고    scopus 로고
    • Retention of concepts and skills in traditional and reformed applied calculus
    • Garner, B and Garner, L. 2001. Retention of concepts and skills in traditional and reformed applied calculus. Math. Educ. Res. J., 13(3): 165-184.
    • (2001) Math. Educ. Res. J. , vol.13 , Issue.3 , pp. 165-184
    • Garner, B.1    Garner, L.2
  • 19
    • 36348980640 scopus 로고    scopus 로고
    • Students' retention of mathematical knowledge and skills in differential equations
    • Allen, K, Kwon, ON and Rasmussen, C. 2005. Students' retention of mathematical knowledge and skills in differential equations. School Sci. Math., 16(2): 227-239.
    • (2005) School Sci. Math. , vol.16 , Issue.2 , pp. 227-239
    • Allen, K.1    Kwon, O.N.2    Rasmussen, C.3
  • 20
    • 85068024681 scopus 로고    scopus 로고
    • Long-term retention of basic mathematical knowledge and skills with engineering students
    • Engelbrecht, J, Harding, A and Du Preez, J. 2007. Long-term retention of basic mathematical knowledge and skills with engineering students. Eur. J. Eng. Educ., 32(6): 735-744.
    • (2007) Eur. J. Eng. Educ. , vol.32 , Issue.6 , pp. 735-744
    • Engelbrecht, J.1    Harding, A.2    Du Preez, J.3
  • 22
    • 0002524784 scopus 로고
    • Increasing the generalizability of qualitative research
    • In: Eisner EW, Peshkin A, editors New York: Teachers College
    • Schofield, JW. 1990. "Increasing the generalizability of qualitative research". In Qualitative Inquiry in Education, Edited by: Eisner, EW and Peshkin, A. 201-232. New York: Teachers College.
    • (1990) Qualitative Inquiry in Education , pp. 201-232
    • Schofield, J.W.1
  • 25
    • 70349650944 scopus 로고    scopus 로고
    • Undergraduate students' preference for procedural to conceptual solutions to mathematical problems
    • Engelbrecht, J, Bergsten, C and Kågesten, O. 2009. Undergraduate students' preference for procedural to conceptual solutions to mathematical problems. Int. J. Math. Educ. Sci. Technol., 40(7): 927-940.
    • (2009) Int. J. Math. Educ. Sci. Technol. , vol.40 , Issue.7 , pp. 927-940
    • Engelbrecht, J.1    Bergsten, C.2    Kågesten, O.3
  • 26
    • 27844484878 scopus 로고    scopus 로고
    • British Educational Research Association (BERA), Available at
    • British Educational Research Association (BERA), Revised Ethical Guidelines for Ethical Research (2004). Available athttp://www.bera.ac.uk/files/guidelines/ethica1.pdf
    • (2004) Revised Ethical Guidelines for Ethical Research
  • 28
    • 0031521274 scopus 로고    scopus 로고
    • The development of students' graphical understanding of the derivative
    • Asiala, M, Cottrill, J, Dubinsky, E and Schwingendorf, K. 1997. The development of students' graphical understanding of the derivative. J. Math. Behav., 16(4): 399-431.
    • (1997) J. Math. Behav. , vol.16 , Issue.4 , pp. 399-431
    • Asiala, M.1    Cottrill, J.2    Dubinsky, E.3    Schwingendorf, K.4
  • 29
    • 32044452243 scopus 로고    scopus 로고
    • Exploring the role of metonymy in mathematical understanding and reasoning: The concept of derivative as an example
    • Zandieh, M and Knapp, J. 2006. Exploring the role of metonymy in mathematical understanding and reasoning: The concept of derivative as an example. J. Math. Behav., 25(1): 1-17.
    • (2006) J. Math. Behav. , vol.25 , Issue.1 , pp. 1-17
    • Zandieh, M.1    Knapp, J.2
  • 31
    • 4544338745 scopus 로고    scopus 로고
    • Semantic and syntactic proof productions
    • Weber, K and Alcock, L. 2004. Semantic and syntactic proof productions. Educ. Stud. Math., 56: 209-234.
    • (2004) Educ. Stud. Math. , vol.56 , pp. 209-234
    • Weber, K.1    Alcock, L.2
  • 33
    • 84865283457 scopus 로고    scopus 로고
    • Prague, Czech Republic: Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education Vol. 4
    • Lima, RNogueira de and Tall, D. 2006. The concept of equation: what have students met before?, Prague, Czech Republic: Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Vol. 4, pp. 233-241
    • (2006) The concept of equation: What have students met before? , pp. 233-241
    • Nogueira de Lima, R.1    Tall, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.