메뉴 건너뛰기




Volumn 27, Issue 2, 2008, Pages 87-100

An analytic conception of equation and teachers' views of school algebra

Author keywords

Curricular change; Equation; Function; Graphing technology; Mathematics teachers' knowledge; School algebra

Indexed keywords


EID: 53349162130     PISSN: 07323123     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmathb.2008.07.003     Document Type: Article
Times cited : (7)

References (39)
  • 1
    • 53349166649 scopus 로고    scopus 로고
    • Artigue, M., Assude, T., Grugeon, B., & Lenfant, A. (2001). Teaching and learning algebra: Approaching complexity through complementary perspectives. In Chick, J., Stacey, K., & Vincent, J. (Eds.), The future of the Teaching and Learning of Algebra, Proceedings of 12th ICMI Study Conference (pp. 21-32), Melbourne, Australia: The University of Melbourne.
    • Artigue, M., Assude, T., Grugeon, B., & Lenfant, A. (2001). Teaching and learning algebra: Approaching complexity through complementary perspectives. In Chick, J., Stacey, K., & Vincent, J. (Eds.), The future of the Teaching and Learning of Algebra, Proceedings of 12th ICMI Study Conference (pp. 21-32), Melbourne, Australia: The University of Melbourne.
  • 2
    • 53349100392 scopus 로고    scopus 로고
    • From an E to an A in first-year algebra with the help of a graphing calculator
    • Bethell S.C., and Miller N.B. From an E to an A in first-year algebra with the help of a graphing calculator. Mathematics Teacher 91 (1998) 118-119
    • (1998) Mathematics Teacher , vol.91 , pp. 118-119
    • Bethell, S.C.1    Miller, N.B.2
  • 5
    • 53349100393 scopus 로고    scopus 로고
    • Chazan, D., Larriva, C., & Sandow, D. (1999). What kind of mathematical knowledge supports teaching for "conceptual understanding"? Preservice teachers and the solving of equations. In Zaslavsky, O. (Ed.), Proceedings of the Twenty-third Annual Conference of the International Group for the Psychology of Mathematics Education (vol. 2, pp. 197-200). Haifa, Israel.
    • Chazan, D., Larriva, C., & Sandow, D. (1999). What kind of mathematical knowledge supports teaching for "conceptual understanding"? Preservice teachers and the solving of equations. In Zaslavsky, O. (Ed.), Proceedings of the Twenty-third Annual Conference of the International Group for the Psychology of Mathematics Education (vol. 2, pp. 197-200). Haifa, Israel.
  • 6
    • 29144460676 scopus 로고    scopus 로고
    • On appreciating the cognitive complexity of school algebra: Research on algebra learning and directions of curricular change
    • Kilpatrick J., Schifter D., and Martin G. (Eds), NCTM, Reston
    • Chazan D., and Yerushalmy M. On appreciating the cognitive complexity of school algebra: Research on algebra learning and directions of curricular change. In: Kilpatrick J., Schifter D., and Martin G. (Eds). A research companion to the principles and standards for school mathematics (2003), NCTM, Reston 123-135
    • (2003) A research companion to the principles and standards for school mathematics , pp. 123-135
    • Chazan, D.1    Yerushalmy, M.2
  • 8
    • 0007930006 scopus 로고
    • Teacher education as an exercise in adaptation
    • Aichele D.B., and Coxford A.F. (Eds), National Council of Teachers of Mathematics, Reston, VA
    • Cooney T.J. Teacher education as an exercise in adaptation. In: Aichele D.B., and Coxford A.F. (Eds). Professional development for teachers of mathematics (1994), National Council of Teachers of Mathematics, Reston, VA 9-22
    • (1994) Professional development for teachers of mathematics , pp. 9-22
    • Cooney, T.J.1
  • 9
    • 0001313746 scopus 로고
    • Teachers' thinking about functions: Historical and research perspectives
    • Romberg T.A., Fennema E., and Carpenter T.P. (Eds), Lawrence Erlbaum Associates, New Jersey
    • Cooney T.J., and Wilson M.R. Teachers' thinking about functions: Historical and research perspectives. In: Romberg T.A., Fennema E., and Carpenter T.P. (Eds). Integrating research on the graphical representation of functions (1993), Lawrence Erlbaum Associates, New Jersey 131-158
    • (1993) Integrating research on the graphical representation of functions , pp. 131-158
    • Cooney, T.J.1    Wilson, M.R.2
  • 10
    • 21144469530 scopus 로고
    • Subject matter knowledge and pedagogical content knowledge: Prospective secondary teachers and the function concept
    • Even R. Subject matter knowledge and pedagogical content knowledge: Prospective secondary teachers and the function concept. Journal for Research in Mathematics Education 24 2 (1993) 95-116
    • (1993) Journal for Research in Mathematics Education , vol.24 , Issue.2 , pp. 95-116
    • Even, R.1
  • 11
    • 21444461701 scopus 로고    scopus 로고
    • The implementation of a "function" approach to introductory algebra: A case study of teacher cognitions, teacher actions, and the intended curriculum
    • Haimes D. The implementation of a "function" approach to introductory algebra: A case study of teacher cognitions, teacher actions, and the intended curriculum. Journal for Research in Mathematics Education 27 5 (1996) 582-602
    • (1996) Journal for Research in Mathematics Education , vol.27 , Issue.5 , pp. 582-602
    • Haimes, D.1
  • 12
    • 54649085124 scopus 로고    scopus 로고
    • Factors that influence teachers learning to do interviews to understand students' mathematical understandings
    • Heid M.K., Blume G.W., Zbiek R.M., Edwards, and Barbara S. Factors that influence teachers learning to do interviews to understand students' mathematical understandings. Educational Studies in Mathematics 37 (1999) 223-249
    • (1999) Educational Studies in Mathematics , vol.37 , pp. 223-249
    • Heid, M.K.1    Blume, G.W.2    Zbiek, R.M.3    Edwards4    Barbara, S.5
  • 13
  • 15
    • 34548510058 scopus 로고    scopus 로고
    • Learning by teaching: The case of Sieve of Eratosthenes and one elementary school teacher
    • Zazkis R., and Campbell S. (Eds), Erlbaum, Mahwah, NJ
    • Leikin R. Learning by teaching: The case of Sieve of Eratosthenes and one elementary school teacher. In: Zazkis R., and Campbell S. (Eds). Number theory in mathematics education: Perspectives and prospects (2006), Erlbaum, Mahwah, NJ 115-140
    • (2006) Number theory in mathematics education: Perspectives and prospects , pp. 115-140
    • Leikin, R.1
  • 16
    • 8644279873 scopus 로고    scopus 로고
    • Two teachers' conceptions of a reform-oriented curriculum: Implications for mathematics teacher development
    • Lloyd G.M. Two teachers' conceptions of a reform-oriented curriculum: Implications for mathematics teacher development. Journal of Mathematics Teacher Education 2 (1999) 227-252
    • (1999) Journal of Mathematics Teacher Education , vol.2 , pp. 227-252
    • Lloyd, G.M.1
  • 17
    • 22044432138 scopus 로고    scopus 로고
    • Supporting innovation: The impact of a teacher's conceptions of functions on his implementation of a reform curriculum
    • Lloyd G.M., and Wilson M.S. Supporting innovation: The impact of a teacher's conceptions of functions on his implementation of a reform curriculum. Journal for Research in Mathematics Education 29 3 (1998) 248-274
    • (1998) Journal for Research in Mathematics Education , vol.29 , Issue.3 , pp. 248-274
    • Lloyd, G.M.1    Wilson, M.S.2
  • 18
    • 53349163797 scopus 로고    scopus 로고
    • National Council of Teachers of Mathematics (NCTM) (Ed.) (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM.
    • National Council of Teachers of Mathematics (NCTM) (Ed.) (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM.
  • 19
    • 53349152284 scopus 로고    scopus 로고
    • National Council of Teachers of Mathematics (NCTM) (Ed.) (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
    • National Council of Teachers of Mathematics (NCTM) (Ed.) (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
  • 25
    • 53349119280 scopus 로고    scopus 로고
    • Sandow, D. (2002). Course conceptualizing that aims to psychologize the curriculum in Calculus. Paper given at the Annual Meeting of the International Group for the Psychology of Mathematics Education-North America. Athens, GA.
    • Sandow, D. (2002). Course conceptualizing that aims to psychologize the curriculum in Calculus. Paper given at the Annual Meeting of the International Group for the Psychology of Mathematics Education-North America. Athens, GA.
  • 26
    • 0002007673 scopus 로고
    • Paradigms and research programs in the study of teaching: A contemporary perspective
    • Wittrock M.C. (Ed), Macmillan, New York
    • Shulman L.S. Paradigms and research programs in the study of teaching: A contemporary perspective. In: Wittrock M.C. (Ed). Handbook of research in teaching. 3rd ed. (1986), Macmillan, New York 3-36
    • (1986) Handbook of research in teaching. 3rd ed. , pp. 3-36
    • Shulman, L.S.1
  • 27
    • 0002916907 scopus 로고    scopus 로고
    • Graphing calculators in a "Hybrid" Algebra II classroom
    • Slavit D. Graphing calculators in a "Hybrid" Algebra II classroom. For the Learning of Mathematics 16 (1996) 9-14
    • (1996) For the Learning of Mathematics , vol.16 , pp. 9-14
    • Slavit, D.1
  • 29
    • 53349176064 scopus 로고    scopus 로고
    • Continuities and discontinuities in long-term learning schemas
    • Tall D., and Thomas M. (Eds), PostPressed, Brisbane, Australia
    • Tall D. Continuities and discontinuities in long-term learning schemas. In: Tall D., and Thomas M. (Eds). Intelligence, learning and understanding-A tribute to Richard Skemp (2002), PostPressed, Brisbane, Australia 151-177
    • (2002) Intelligence, learning and understanding-A tribute to Richard Skemp , pp. 151-177
    • Tall, D.1
  • 30
    • 0000019871 scopus 로고
    • Images of rate and operational understanding of the fundamental theorem of calculus
    • Thompson P. Images of rate and operational understanding of the fundamental theorem of calculus. Educational Studies in Mathematics 26 2 (1994) 229-274
    • (1994) Educational Studies in Mathematics , vol.26 , Issue.2 , pp. 229-274
    • Thompson, P.1
  • 31
    • 53349152283 scopus 로고
    • A transformation approach to tenth-grade geometry
    • Usiskin Z.P., and Coxford A.F. A transformation approach to tenth-grade geometry. Mathematics Teacher 65 1 (1972) 21-30
    • (1972) Mathematics Teacher , vol.65 , Issue.1 , pp. 21-30
    • Usiskin, Z.P.1    Coxford, A.F.2
  • 32
    • 21344485261 scopus 로고
    • One preservice secondary teacher's understanding of function: The impact of a course integrating mathematical content and pedagogy
    • Wilson M.R. One preservice secondary teacher's understanding of function: The impact of a course integrating mathematical content and pedagogy. Journal for Research in Mathematics Education 25 4 (1994) 346-370
    • (1994) Journal for Research in Mathematics Education , vol.25 , Issue.4 , pp. 346-370
    • Wilson, M.R.1
  • 34
    • 0007173567 scopus 로고
    • Effects of computerized feedback on performing and debugging algebraic transformations
    • Yerushalmy M. Effects of computerized feedback on performing and debugging algebraic transformations. Journal of Educational Computing Research 7 (1991) 309-330
    • (1991) Journal of Educational Computing Research , vol.7 , pp. 309-330
    • Yerushalmy, M.1
  • 36
    • 53349107967 scopus 로고    scopus 로고
    • Yerushalmy, M. & Bohr, M. (1995) "Between equations and solutions: An Odyssey in 3D". In Proceedings of the Nineteenth Annual Conference of the International Group for the Psychology of Mathematics Education. Recife, Brazil.
    • Yerushalmy, M. & Bohr, M. (1995) "Between equations and solutions: An Odyssey in 3D". In Proceedings of the Nineteenth Annual Conference of the International Group for the Psychology of Mathematics Education. Recife, Brazil.
  • 37
    • 27844513693 scopus 로고    scopus 로고
    • Flux in school algebra: Curricular change, graphing technology, and research on student learning and teacher knowledge
    • English L. (Ed), Erlbaum, Hillsdale, NJ
    • Yerushalmy M., and Chazan D. Flux in school algebra: Curricular change, graphing technology, and research on student learning and teacher knowledge. In: English L. (Ed). Handbook of international research in mathematics education (2002), Erlbaum, Hillsdale, NJ 725-755
    • (2002) Handbook of international research in mathematics education , pp. 725-755
    • Yerushalmy, M.1    Chazan, D.2
  • 38
    • 53349096104 scopus 로고    scopus 로고
    • Technology and curriculum design: The ordering of discontinuities in school algebra
    • English L. (Ed), Taylor Francis, London
    • Yerushalmy M., and Chazan D. Technology and curriculum design: The ordering of discontinuities in school algebra. In: English L. (Ed). Second Handbook of International Research in Mathematics Education (2008), Taylor Francis, London 806-837
    • (2008) Second Handbook of International Research in Mathematics Education , pp. 806-837
    • Yerushalmy, M.1    Chazan, D.2
  • 39
    • 0002998251 scopus 로고
    • Seizing the opportunity to make algebra mathematically and pedagogically interesting
    • Romberg T., Fennema E., and Carpenter T. (Eds), Erlbaum Inc., NJ
    • Yerushalmy M., and Schwartz J.L. Seizing the opportunity to make algebra mathematically and pedagogically interesting. In: Romberg T., Fennema E., and Carpenter T. (Eds). Integrating research on graphical representations of functions (1993), Erlbaum Inc., NJ 41-68
    • (1993) Integrating research on graphical representations of functions , pp. 41-68
    • Yerushalmy, M.1    Schwartz, J.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.