메뉴 건너뛰기




Volumn 38, Issue 1-3, 1999, Pages 67-83

Forms of knowledge in mathematics and mathematics education: Philosophical and rhetorical perspectives

Author keywords

[No Author keywords available]

Indexed keywords


EID: 3042811773     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1007/978-94-017-1584-3_4     Document Type: Review
Times cited : (53)

References (72)
  • 1
    • 84970460725 scopus 로고
    • Language factors in learning mathematics
    • Aiken, L. R.: 1972, 'Language factors in learning mathematics', Review of Educational Research 42(3).
    • (1972) Review of Educational Research , vol.42 , Issue.3
    • Aiken, L.R.1
  • 6
    • 0007392259 scopus 로고
    • Classroom cultures from a social constructivist's perspective
    • Bauersfeld, H.: 1992, 'Classroom cultures from a social constructivist's perspective', Educational Studies in Mathematics 23, 467-481.
    • (1992) Educational Studies in Mathematics , vol.23 , pp. 467-481
    • Bauersfeld, H.1
  • 7
    • 53149151215 scopus 로고
    • Philosophical remarks on implicit knowledge and educational theory
    • D. Tirosh, Approach, Ablex Publishing Co., Norwood, NJ
    • Berg, J.: 1994, 'Philosophical remarks on implicit knowledge and educational theory', in D. Tirosh, Implicit and Explicit knowledge: An Educational Approach, Ablex Publishing Co., Norwood, NJ, pp. 245-253.
    • (1994) Implicit and Explicit Knowledge: An Educational , pp. 245-253
    • Berg, J.1
  • 11
    • 3342928275 scopus 로고
    • Intertextuality in school mathematics: The case of functions
    • Chapman, A.: 1995, 'Intertextuality in school mathematics: The case of functions', Linguistics and Education 1, 243-262.
    • (1995) Linguistics and Education , vol.1 , pp. 243-262
    • Chapman, A.1
  • 13
    • 0345100619 scopus 로고
    • Contexts, goals, beliefs, and learning mathematics
    • Cobb, P.: 1986, 'Contexts, goals, beliefs, and learning mathematics', For the Learning of Mathematics 6(2), 2-9.
    • (1986) For the Learning of Mathematics , vol.6 , Issue.2 , pp. 2-9
    • Cobb, P.1
  • 14
    • 0003162549 scopus 로고
    • Experiential, Cognitive, and anthropological perspectives in mathematics education
    • Cobb, P.: 1989, 'Experiential, Cognitive, and anthropological perspectives in mathematics education', For the Learning of Mathematics 9(2), 32-42.
    • (1989) For the Learning of Mathematics , vol.9 , Issue.2 , pp. 32-42
    • Cobb, P.1
  • 16
    • 84934454599 scopus 로고
    • Putting computers in their place
    • Dreyfus, H. L. and Dreyfus, S. E.: 1986, 'Putting computers in their place', Social Research 53(1), 57-76.
    • (1986) Social Research , vol.53 , Issue.1 , pp. 57-76
    • Dreyfus, H.L.1    Dreyfus, S.E.2
  • 17
    • 0042305583 scopus 로고
    • Durkin, K. and Shire, B., (eds.): The Open University Press, Milton Keynes
    • Durkin, K. and Shire, B., (eds.): 1991, Language in Mathematical Education. Research and Practice, The Open University Press, Milton Keynes.
    • (1991) Language in Mathematical Education. Research and Practice
  • 18
    • 34250139757 scopus 로고
    • CXC mathematics: A caribbean innovation in assessment
    • Ernest, P.: 1984, 'CXC mathematics: A caribbean innovation in assessment', Educational Studies in Mathematics 15, 397-412.
    • (1984) Educational Studies in Mathematics , vol.15 , pp. 397-412
    • Ernest, P.1
  • 20
  • 23
    • 33645669680 scopus 로고    scopus 로고
    • The relation between personal and public knowledge from an epistemological perspective
    • F. Seeger, J. Voight and U. Waschescio (eds.), Cambridge University Press, Cambridge
    • Ernest, P.: 1998, 'The relation between personal and public knowledge from an epistemological perspective', in F. Seeger, J. Voight and U. Waschescio (eds.), The Culture of the Mathematics Classroom, Cambridge University Press, Cambridge, pp. 245-268.
    • (1998) The Culture of the Mathematics Classroom , pp. 245-268
    • Ernest, P.1
  • 24
    • 84973728332 scopus 로고
    • Meaning in method: The rhetoric of quantitative and qualitative research
    • Firestone, W.: 1987, 'Meaning in method: The rhetoric of quantitative and qualitative research', Educational Researcher 16(7), 16-20.
    • (1987) Educational Researcher , vol.16 , Issue.7 , pp. 16-20
    • Firestone, W.1
  • 29
    • 0012012692 scopus 로고
    • Proving is Convincing and Explaining
    • Hersh, R.: 1993, 'Proving is Convincing and Explaining', Educational Studies in Mathematics 24(4), 389-399.
    • (1993) Educational Studies in Mathematics , vol.24 , Issue.4 , pp. 389-399
    • Hersh, R.1
  • 32
    • 0008322915 scopus 로고
    • Persuasion
    • M. Pera, W. R. Shea (eds.), Science History Publications, New York
    • Kitcher, P.: 1991; 'Persuasion', in M. Pera, W. R. Shea (eds.), Persuading Science: The Art of Scientific Rhetoric, Science History Publications, New York, pp. 3-27.
    • (1991) Persuading Science: The Art of Scientific Rhetoric , pp. 3-27
    • Kitcher, P.1
  • 33
    • 0001407591 scopus 로고
    • Algorithmic Thinking and Mathematical Thinking
    • Knuth, D. E.: 1985, 'Algorithmic Thinking and Mathematical Thinking', American Mathematical Monthly 92, 170-181.
    • (1985) American Mathematical Monthly , vol.92 , pp. 170-181
    • Knuth, D.E.1
  • 35
    • 0004229474 scopus 로고
    • Cambridge University Press, Cambridge
    • Lakatos, I.: 1976, Proofs and Refutations, Cambridge University Press, Cambridge.
    • (1976) Proofs and Refutations
    • Lakatos, I.1
  • 37
    • 0004005686 scopus 로고
    • Harvard University Press, Cambridge, MA
    • Latour, B.: 1987, Science in Action, Harvard University Press, Cambridge, MA.
    • (1987) Science in Action
    • Latour, B.1
  • 45
    • 0347707876 scopus 로고
    • Deakin University Press, Geelong, Victoria, Australia
    • Mousley, J. and Marks, G.: 1991, Discourses in Mathematics, Deakin University Press, Geelong, Victoria, Australia.
    • (1991) Discourses in Mathematics
    • Mousley, J.1    Marks, G.2
  • 46
    • 0003425267 scopus 로고
    • National Council of Teachers of Mathematics, Reston, VA
    • National Council of Teachers of Mathematics: 1989, Curriculum and Evaluation Standards for School Mathematics, National Council of Teachers of Mathematics, Reston, VA.
    • (1989) Curriculum and Evaluation Standards for School Mathematics
  • 47
    • 0003482263 scopus 로고
    • Nelson, J., Megill, A. and McCloskey, D. (eds.): University of Wisconsin Press, Madison, WI
    • Nelson, J., Megill, A. and McCloskey, D. (eds.): 1987a, The Rhetoric of the Human Sciences, University of Wisconsin Press, Madison, WI.
    • (1987) The Rhetoric of the Human Sciences
  • 48
    • 0003776992 scopus 로고
    • Routledge and Kegan Paul Ltd, London
    • Pimm D.: 1987, Speaking Mathematically, Routledge and Kegan Paul Ltd, London.
    • (1987) Speaking Mathematically
    • Pimm, D.1
  • 49
    • 0004268176 scopus 로고
    • Routledge and Kegan Paul, London
    • Polanyi, M.: 1958, Personal Knowledge, Routledge and Kegan Paul, London.
    • (1958) Personal Knowledge
    • Polanyi, M.1
  • 51
    • 0003799915 scopus 로고
    • Massachusetts Institute of Technology Press, Cambridge, MA
    • Quine, W. V. O.: 1960, Word and Object, Massachusetts Institute of Technology Press, Cambridge, MA.
    • (1960) Word and Object
    • Quine, W.V.O.1
  • 54
    • 0003358560 scopus 로고
    • Mathematical Discussions
    • E. von Glasersfeld (ed.), Kluwer, Dordrecht, The Netherlands
    • Richards, J.: 1991, 'Mathematical Discussions', in E. von Glasersfeld (ed.), Radical Constructivism in Mathematics Education, Kluwer, Dordrecht, The Netherlands, pp. 13-51.
    • (1991) Radical Constructivism in Mathematics Education , pp. 13-51
    • Richards, J.1
  • 57
    • 84945065047 scopus 로고
    • Towards a semiotics of mathematics
    • Rotman, B.: 1988, 'Towards a semiotics of mathematics', Semiotica 72(1/2), 1-35.
    • (1988) Semiotica , vol.72 , Issue.1-2 , pp. 1-35
    • Rotman, B.1
  • 62
    • 0002242225 scopus 로고
    • Learning to think mathematically
    • D. A. Grouws (ed.), (1992) MacMillan, New York
    • Schoenfeld, A.: 1992, 'Learning to think mathematically', in D. A. Grouws (ed.), (1992) Handbook of Research on Mathematics Teaching and Learning, MacMillan, New York, pp. 334-370.
    • (1992) Handbook of Research on Mathematics Teaching and Learning , pp. 334-370
    • Schoenfeld, A.1
  • 64
    • 0002155120 scopus 로고
    • Relational understanding and instrumental understanding
    • Skemp, R. R.: 1976, 'Relational understanding and instrumental understanding', Mathematics Teaching 77, 20-26.
    • (1976) Mathematics Teaching , vol.77 , pp. 20-26
    • Skemp, R.R.1
  • 65
    • 0011603939 scopus 로고
    • Goals of learning and qualities of understanding
    • Skemp, R. R.: 1979, 'Goals of learning and qualities of understanding', Mathematics Teaching 88, 44-49.
    • (1979) Mathematics Teaching , vol.88 , pp. 44-49
    • Skemp, R.R.1
  • 66
    • 53149090321 scopus 로고
    • Understanding the Symbolism of Mathematics
    • Skemp, R. R. (ed.)
    • Skemp, R. R. (ed.) 1982, 'Understanding The Symbolism of Mathematics', Visible Language 16(3).
    • (1982) Visible Language , vol.16 , Issue.3
  • 67
    • 53149129200 scopus 로고
    • Mathematics
    • T. A. Sebeok (ed.), Mouton de Gruyter, Berlin
    • Thom, R.: 1986, 'Mathematics', in T. A. Sebeok (ed.), Encyclopedic Dictionary of Semiotics, Vol. 1, Mouton de Gruyter, Berlin, pp. 487-494.
    • (1986) Encyclopedic Dictionary of Semiotics , vol.1 , pp. 487-494
    • Thom, R.1
  • 71
    • 0004251932 scopus 로고
    • (translated by G. E. M. Anscombe), Basil Blackwell, Oxford
    • Wittgenstein, L.: 1953, Philosophical Investigations (translated by G. E. M. Anscombe), Basil Blackwell, Oxford.
    • (1953) Philosophical Investigations
    • Wittgenstein, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.