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Volumn 39, Issue 1-2, 2007, Pages 155-163

A contemporary analysis of the six "Theories of Mathematics Education" theses of Hans-Georg Steiner

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EID: 84867442319     PISSN: 18639690     EISSN: 18639704     Source Type: Journal    
DOI: 10.1007/s11858-006-0001-4     Document Type: Article
Times cited : (4)

References (63)
  • 7
    • 0002018355 scopus 로고
    • Society, culture, and person: A systems view of creativity
    • In R. J. Sternberg (Ed.),. London: Cambridge University Press
    • Csikszentmihalyi M. (1988). Society, culture, and person: A systems view of creativity. In R. J. Sternberg (Ed.), The nature of creativity: Contemporary psychological perspectives (pp. 325-339). London: Cambridge University Press.
    • (1988) The nature of creativity: Contemporary psychological perspectives , pp. 325-339
    • Csikszentmihalyi, M.1
  • 8
    • 0003005629 scopus 로고    scopus 로고
    • Implications of a systems perspective for the study of creativity
    • In R. J. Sternberg (Ed.),. Cambridge: Cambridge University Press
    • Csikszentmihalyi, M. (2000). Implications of a systems perspective for the study of creativity. In R. J. Sternberg (Ed.), Handbook of creativity (pp. 313-338). Cambridge: Cambridge University Press.
    • (2000) Handbook of creativity , pp. 313-338
    • Csikszentmihalyi, M.1
  • 9
    • 0010907891 scopus 로고
    • Fidelity in mathematical discourse: Is one and one really two?
    • Davis, P. J. (1972). Fidelity in mathematical discourse: is one and one really two?American Mathematical Monthly, 79, 252-263.
    • (1972) American Mathematical Monthly , vol.79 , pp. 252-263
    • Davis, P.J.1
  • 13
    • 84867448749 scopus 로고    scopus 로고
    • In Proceedings of 2002 international conference on mathematics: Understanding proving and proving to understand. Taiwan: National Taiwan Normal University, Department of Mathematics
    • Duval, R. (2002). Proof understanding in mathematics. In Proceedings of 2002 international conference on mathematics: Understanding proving and proving to understand (pp. 23-44). Taiwan: National Taiwan Normal University, Department of Mathematics.
    • (2002) Proof understanding in mathematics , pp. 23-44
    • Duval, R.1
  • 14
    • 24944511858 scopus 로고
    • The impact of beliefs on the teaching of mathematics
    • In C. Keitel, P. Damerow, A. Bishop, & P. Gerdes (Eds.),. Paris: UNESCO Science and Technology Education Document Series No 35
    • Ernest, P. (1989). The impact of beliefs on the teaching of mathematics. In C. Keitel, P. Damerow, A. Bishop, & P. Gerdes (Eds.), Mathematics, education and society (pp. 99-101). Paris: UNESCO Science and Technology Education Document Series No 35.
    • (1989) Mathematics, education and society , pp. 99-101
    • Ernest, P.1
  • 16
    • 84970128025 scopus 로고
    • A philosophical consideration of recent research on teacher effectiveness
    • In L. S. Shulman (Ed.), 6. Ithasca: Peacock
    • Fenstermacher, G. D. (1978). A philosophical consideration of recent research on teacher effectiveness. In L. S. Shulman (Ed.), Review of research in education 6 (pp. 157-185). Ithasca: Peacock.
    • (1978) Review of research in education , pp. 157-185
    • Fenstermacher, G.D.1
  • 17
    • 3843064564 scopus 로고    scopus 로고
    • Developing complex understandings: On the relation of mathematics education research to mathematics
    • Goldin, G. A. (2003). Developing complex understandings: on the relation of mathematics education research to mathematics. Educational Studies in Mathematics, 54, 171-202.
    • (2003) Educational Studies in Mathematics , vol.54 , pp. 171-202
    • Goldin, G.A.1
  • 19
    • 77957873604 scopus 로고    scopus 로고
    • What is mathematics? A pedagogical answer to a philosophical question
    • (to appear)., In R. B., Gold & R. Simons (Eds.), Mathematical American. Pre-print available at
    • Harel, G. (2006a). What is mathematics? A pedagogical answer to a philosophical question. In R. B., Gold & R. Simons (Eds.), Current issues in the philosophy of mathematics from the perspective of mathematicians. Mathematical American. Pre-print available at http://www.math.ucsd.edu/~harel/downloadablepapers/Harel%27s%20WhatIsMathematics. pdf (to appear).
    • (2006) Current issues in the philosophy of mathematics from the perspective of mathematicians
    • Harel, G.1
  • 20
    • 38549147127 scopus 로고    scopus 로고
    • Mathematics education research, its nature, and its purpose: A discussion of Lester's paper
    • Harel, G. (2006b). Mathematics education research, its nature, and its purpose: a discussion of Lester's paper. Zentralblatt für Didaktik der Mathematik (ZDM), 38(1), 58-62.
    • (2006) Zentralblatt für Didaktik der Mathematik (ZDM) , vol.38 , Issue.1 , pp. 58-62
    • Harel, G.1
  • 21
    • 12844250523 scopus 로고
    • Some proposals for reviving the philosophy of mathematics
    • Hersh, R. (1979). Some proposals for reviving the philosophy of mathematics. Advances in Mathematics, 31, 31-50.
    • (1979) Advances in Mathematics , vol.31 , pp. 31-50
    • Hersh, R.1
  • 22
    • 12844251186 scopus 로고
    • Mathematics has a front and a back. New directions in the philosophy of mathematics
    • Hersh, R. (1991). Mathematics has a front and a back. New directions in the philosophy of mathematics. Synthese, 88(2), 127-133.
    • (1991) Synthese , vol.88 , Issue.2 , pp. 127-133
    • Hersh, R.1
  • 25
    • 0031514189 scopus 로고    scopus 로고
    • The development of epistemological theories: Beliefs about knowledge and knowing and their relation to learning
    • Hofer, B. K., & Pintrich, P. R. (1997). The development of epistemological theories: Beliefs about knowledge and knowing and their relation to learning. Review of Educational Research, 67(1), 88-140.
    • (1997) Review of Educational Research , vol.67 , Issue.1 , pp. 88-140
    • Hofer, B.K.1    Pintrich, P.R.2
  • 27
    • 0004229474 scopus 로고
    • Cambridge: Cambridge University Press
    • Lakatos, I. (1976). Proofs and refutations. Cambridge: Cambridge University Press.
    • (1976) Proofs and refutations
    • Lakatos, I.1
  • 29
    • 0002885248 scopus 로고
    • Problem-solving or knowledge-centred: The influence of philosophy on mathematics teaching
    • Lerman, S. (1983). Problem-solving or knowledge-centred: the influence of philosophy on mathematics teaching. International Journal of Mathematical Education in Science and Technology, 14(1), 59-66.
    • (1983) International Journal of Mathematical Education in Science and Technology , vol.14 , Issue.1 , pp. 59-66
    • Lerman, S.1
  • 30
    • 38549173829 scopus 로고    scopus 로고
    • On the theoretical, conceptual, and philosophical foundations for research in mathematics education
    • Lester, F. (2005). On the theoretical, conceptual, and philosophical foundations for research in mathematics education. Zentralblatt für Didaktik der Mathematik (ZDM), 37(6), 457-467.
    • (2005) Zentralblatt für Didaktik der Mathematik (ZDM) , vol.37 , Issue.6 , pp. 457-467
    • Lester, F.1
  • 31
    • 10044270855 scopus 로고    scopus 로고
    • Personal epistemology and mathematics: A critical review and synthesis of research
    • Muis, K. R. (2004). Personal epistemology and mathematics: a critical review and synthesis of research. Review of Educational Research, 74(3), 317-377.
    • (2004) Review of Educational Research , vol.74 , Issue.3 , pp. 317-377
    • Muis, K.R.1
  • 32
    • 84867443709 scopus 로고
    • Unpublished doctoral dissertation, University of London Institute of Education
    • Nickson, M. (1981). Social foundations of the mathematics curriculum. Unpublished doctoral dissertation, University of London Institute of Education.
    • (1981) Social foundations of the mathematics curriculum
    • Nickson, M.1
  • 33
    • 33745932437 scopus 로고    scopus 로고
    • Mathematical epistemologies at work. For the learning of Mathematics
    • Noss, R. (2002). Mathematical epistemologies at work. For the learning of Mathematics. An International Journal of Mathematics Education, 22(2), 2-13.
    • (2002) An International Journal of Mathematics Education , vol.22 , Issue.2 , pp. 2-13
    • Noss, R.1
  • 34
    • 0002232845 scopus 로고    scopus 로고
    • Touching epistemologies: Meanings of average and variation in nursing practice
    • Noss, R., Pozzi, S., & Hoyles, C. (1999). Touching epistemologies: meanings of average and variation in nursing practice. Educational Studies in Mathematics, 40(1), 25-51.
    • (1999) Educational Studies in Mathematics , vol.40 , Issue.1 , pp. 25-51
    • Noss, R.1    Pozzi, S.2    Hoyles, C.3
  • 36
    • 84964146442 scopus 로고
    • Teachers' beliefs and educational research: Cleaning up a messy construct
    • Pajares, M.F. (1992). Teachers' beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62(3), 307-332.
    • (1992) Review of Educational Research , vol.62 , Issue.3 , pp. 307-332
    • Pajares, M.F.1
  • 37
    • 0032140634 scopus 로고    scopus 로고
    • Domain differences in the epistemological beliefs of college students
    • Paulsen, M. B., & Wells, C. T. (1998). Domain differences in the epistemological beliefs of college students. Research in Higher Education, 39(4), 365-384.
    • (1998) Research in Higher Education , vol.39 , Issue.4 , pp. 365-384
    • Paulsen, M.B.1    Wells, C.T.2
  • 39
    • 84867478360 scopus 로고
    • The philosophy of mathematics and the methodology of teaching mathematics
    • Rogers, L. (1978). The philosophy of mathematics and the methodology of teaching mathematics. Analysen, 2, 63-67.
    • (1978) Analysen , vol.2 , pp. 63-67
    • Rogers, L.1
  • 41
    • 0002097032 scopus 로고    scopus 로고
    • Toward a theory of teaching-incontext
    • Schoenfeld, A. H. (1998). Toward a theory of teaching-incontext. Issues in Education, 4(1), 1-94.
    • (1998) Issues in Education , vol.4 , Issue.1 , pp. 1-94
    • Schoenfeld, A.H.1
  • 42
    • 33847616261 scopus 로고
    • Effects of beliefs about the nature of knowledge on comprehension
    • Schommer, M. (1990). Effects of beliefs about the nature of knowledge on comprehension. Journal of Educational Psychology, 82(3), 498-504.
    • (1990) Journal of Educational Psychology , vol.82 , Issue.3 , pp. 498-504
    • Schommer, M.1
  • 43
    • 21144463534 scopus 로고
    • Epistemological beliefs and mathematical text comprehension: Believing it is simple does not make it so
    • Schommer, M., Crouse, A., & Rhodes, N. (1992). Epistemological beliefs and mathematical text comprehension: Believing it is simple does not make it so. Journal of Educational Psychology, 84(4), 435-443.
    • (1992) Journal of Educational Psychology , vol.84 , Issue.4 , pp. 435-443
    • Schommer, M.1    Crouse, A.2    Rhodes, N.3
  • 44
    • 0002335783 scopus 로고
    • On understanding the notion of function-Aspects of epistemology and pedagogy
    • In G. Harel & E. Dubinsky (Eds.), MAA Notes,. Washington: Mathematical Association of America
    • Sierpinska, A. (1992). On understanding the notion of function-Aspects of epistemology and pedagogy. In G. Harel & E. Dubinsky (Eds.), The concept of functions: Aspect of epistemology and pedagogy. MAA Notes, Vol. 25 (pp. 25-38). Washington: Mathematical Association of America.
    • (1992) The concept of functions: Aspect of epistemology and pedagogy , vol.25 , pp. 25-38
    • Sierpinska, A.1
  • 45
    • 0000647507 scopus 로고    scopus 로고
    • Epistemologies of mathematics and of mathematics education, Chapter 22
    • In A. J. Bishop, et al. (Eds.) (1996),). Dordrecht: Kluwer
    • Sierpinska, A., Lerman, S. (1996). Epistemologies of mathematics and of mathematics education, Chapter 22. In A. J. Bishop, et al. (Eds.) (1996) International Handbook of Mathematics Education (Vol. 4, pp. 827-876). Dordrecht: Kluwer.
    • (1996) International Handbook of Mathematics Education , vol.4 , pp. 827-876
    • Sierpinska, A.1    Lerman, S.2
  • 48
    • 84867462106 scopus 로고
    • Mathematisierung und Axiomatisierung einer politischen Struktur
    • Steiner, H. G. (1966a). Mathematisierung und Axiomatisierung einer politischen Struktur. Der Mathematikunterricht, 12(3), 66-86.
    • (1966) Der Mathematikunterricht , vol.12 , Issue.3 , pp. 66-86
    • Steiner, H.G.1
  • 49
    • 84867461809 scopus 로고
    • Äquivalente Fassungen des Vollständigkeitsaxioms für die Theorie der reellen Zahlen
    • Steiner, H. G. (1966b). Äquivalente Fassungen des Vollständigkeitsaxioms für die Theorie der reellen Zahlen. Math Phys Semesterberichte, 13, 180-201.
    • (1966) Math Phys Semesterberichte , vol.13 , pp. 180-201
    • Steiner, H.G.1
  • 50
    • 84867475364 scopus 로고
    • Bemerkungen zur Wittmann'schen Axiomatisierung des Gruppierungsbegriffs von J. Piaget und Hinweise auf weitere didaktisch relevante Modelle
    • In Die Schulwarte 8/9, S. 95-102; ferner:, 1973. Hannover: Schroedel
    • Steiner, H. G. (1974). Bemerkungen zur Wittmann'schen Axiomatisierung des Gruppierungsbegriffs von J. Piaget und Hinweise auf weitere didaktisch relevante Modelle. In Die Schulwarte 8/9, S. 95-102; ferner: Beiträge zum Mathematikunterricht 1973 (pp. 239-246). Hannover: Schroedel.
    • (1974) Beiträge zum Mathematikunterricht , pp. 239-246
    • Steiner, H.G.1
  • 51
    • 84867439414 scopus 로고
    • Zum Aufbau des Institutes für Didaktik der Mathematik (IDM) in Bielefeld. Ziele und Möglichkeiten des Instituts in der gegenwä rtigen Situation
    • Steiner, H. G. (1975). Zum Aufbau des Institutes für Didaktik der Mathematik (IDM) in Bielefeld. Ziele und Möglichkeiten des Instituts in der gegenwä rtigen Situation. Zentralblatt für Didaktik der Mathematik (ZDM) 7(2), 85-91.
    • (1975) Zentralblatt für Didaktik der Mathematik (ZDM) , vol.7 , Issue.2 , pp. 85-91
    • Steiner, H.G.1
  • 52
    • 3843106299 scopus 로고
    • Theory of mathematics education (TME): An introduction
    • Steiner, H. G. (1985). Theory of mathematics education (TME): An introduction. For the Learning of Mathematics, 5(2), 11-17.
    • (1985) For the Learning of Mathematics , vol.5 , Issue.2 , pp. 11-17
    • Steiner, H.G.1
  • 53
    • 0002641865 scopus 로고
    • Philosophical and epistemological aspects of mathematics and their interaction with theory and practice in mathematics education
    • Steiner, H. G. (1987). Philosophical and epistemological aspects of mathematics and their interaction with theory and practice in mathematics education. For the Learning of Mathematics, 7(1), 7-13.
    • (1987) For the Learning of Mathematics , vol.7 , Issue.1 , pp. 7-13
    • Steiner, H.G.1
  • 54
    • 84867477964 scopus 로고
    • Recent and coming activities of the International study group on 'Theory of mathematics education (TME)'
    • Steiner, H. G. (1992). Recent and coming activities of the International study group on 'Theory of mathematics education (TME)'. Zentralblatt für Didaktik der Mathematik (ZDM), 24(2), 66-67.
    • (1992) Zentralblatt für Didaktik der Mathematik (ZDM) , vol.24 , Issue.2 , pp. 66-67
    • Steiner, H.G.1
  • 55
    • 84867443712 scopus 로고
    • Theory of mathematics education (TME). ICME 5-Topics and Miniconference
    • Bielefeld
    • Steiner, H. G. et al. (1984). Theory of mathematics education (TME). ICME 5-Topics and Miniconference. JDM-Occasional Paper No. 54. Bielefeld.
    • (1984) JDM-Occasional Paper No. 54
    • Steiner, H.G.1
  • 57
    • 0002409519 scopus 로고    scopus 로고
    • The concept of creativity: Prospects and paradigms
    • In R. J. Sternberg (Ed.),. Cambridge: Cambridge University Press
    • Sternberg, R. J., & Lubart, T. I. (2000). The concept of creativity: prospects and paradigms. In R. J. Sternberg (Ed.), Handbook of creativity (pp. 93-115). Cambridge: Cambridge University Press.
    • (2000) Handbook of creativity , pp. 93-115
    • Sternberg, R.J.1    Lubart, T.I.2
  • 58
    • 84867463653 scopus 로고
    • Bye-bye Bourbaki-paradigm shifts in mathematics
    • Stewart, I. (1995). Bye-bye Bourbaki-paradigm shifts in mathematics. Mathematical Gazette, 79(486), 496-498.
    • (1995) Mathematical Gazette , vol.79 , Issue.486 , pp. 496-498
    • Stewart, I.1
  • 59
    • 0003228954 scopus 로고
    • Modern mathematics: Does it exist?
    • In A. G. Howson (Ed.), Developments in Mathematical Education.,. Cambridge: Cambridge University Press
    • Thom, R. (1973). Modern mathematics: does it exist? In A. G. Howson (Ed.), Developments in Mathematical Education. Proceedings of the Second International Congress on Mathematical Education. (pp. 194-209). Cambridge: Cambridge University Press.
    • (1973) Proceedings of the Second International Congress on Mathematical Education , pp. 194-209
    • Thom, R.1
  • 61
    • 0003012048 scopus 로고
    • Teachers' beliefs and conceptions: A synthesis of the research
    • In D. A. Grouws (Ed.),. New York: Macmillan Publishing
    • Thompson, A. G. (1992). Teachers' beliefs and conceptions: A synthesis of the research. In D. A. Grouws (Ed.), Handbook of research on mathematics learning and teaching (pp. 127-146). New York: Macmillan Publishing.
    • (1992) Handbook of research on mathematics learning and teaching , pp. 127-146
    • Thompson, A.G.1
  • 62
    • 21244484022 scopus 로고    scopus 로고
    • Mathematical beliefs
    • In Leder, G. C., Pehkonen, E., & Törner, G. (Eds.),. Dordrecht: Kluwer
    • Törner, G. (2002). Mathematical beliefs. In Leder, G. C., Pehkonen, E., & Törner, G. (Eds.), Beliefs: A Hidden Variable in Mathematics Education? (pp. 73-94). Dordrecht: Kluwer.
    • (2002) Beliefs: A Hidden Variable in Mathematics Education? , pp. 73-94
    • Törner, G.1
  • 63
    • 0347984380 scopus 로고
    • Learning as a constructive activity
    • von Glasersfeld, E. (1983). Learning as a constructive activity. Proceedings of PME-NA, 1, 41-69.
    • (1983) Proceedings of PME-NA , vol.1 , pp. 41-69
    • von Glasersfeld, E.1


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