메뉴 건너뛰기




Volumn 35, Issue 1, 2005, Pages 55-67

Acting is learning: Focus on the construction of mathematical concepts

Author keywords

[No Author keywords available]

Indexed keywords


EID: 27944507969     PISSN: 0305764X     EISSN: None     Source Type: Journal    
DOI: 10.1080/0305764042000332498     Document Type: Conference Paper
Times cited : (25)

References (46)
  • 1
    • 27944445977 scopus 로고    scopus 로고
    • AAVV (2003) Matematica 2003. Available online at: www2.dm.unito.it/ paginepersonali/arzarello/index.htm, accessed 14 February 2005.
    • (2003) Matematica 2003
  • 2
    • 0041684689 scopus 로고    scopus 로고
    • Transparency in graphs and graphing tasks. An iterative design process
    • Ainley, J. (2000) Transparency in graphs and graphing tasks. An iterative design process, Journal of Mathematical Behaviour, 19, 365-384.
    • (2000) Journal of Mathematical Behaviour , vol.19 , pp. 365-384
    • Ainley, J.1
  • 4
    • 0002100652 scopus 로고
    • Symbol sense: Informal sense-making in formal mathematics
    • Arcavi, A. (1994) Symbol sense: informal sense-making in formal mathematics, For the Learning of Mathematics, 14(3), 24-35.
    • (1994) For the Learning of Mathematics , vol.14 , Issue.3 , pp. 24-35
    • Arcavi, A.1
  • 5
    • 84867503851 scopus 로고    scopus 로고
    • Learning mathematics in a CAS environment: The genesis of a reflection about instrumentation and the dialectics between technical and conceptual work
    • paper presented, Utrecht, The Netherlands
    • Artigue, M. (2001) Learning mathematics in a CAS environment: the genesis of a reflection about instrumentation and the dialectics between technical and conceptual work, paper presented at the Second CAME Symposium, Utrecht, The Netherlands.
    • (2001) Second CAME Symposium
    • Artigue, M.1
  • 6
    • 0041503732 scopus 로고    scopus 로고
    • Italian trends in research in mathematics education: A national case study in the international perspective
    • J. Kilpatrick & A. Sierpinska (Eds) (Dordrecht, Kluwer Academic Publishers)
    • Arzarello, F. & Bartolini Bussi, M. (1998) Italian trends in research in mathematics education: a national case study in the international perspective, in: J. Kilpatrick & A. Sierpinska (Eds) Mathematics education as a research domain: a search for identity (Dordrecht, Kluwer Academic Publishers), 243-262.
    • (1998) Mathematics Education as a Research Domain: A Search for Identity , pp. 243-262
    • Arzarello, F.1    Bartolini Bussi, M.2
  • 7
    • 27944433767 scopus 로고    scopus 로고
    • Riflessioni su variabili e funzioni
    • M. Maurel (Ed.) (Nice, IREM)
    • Arzarello, F., Maschietto, M. & Robutti, O. (2001) Riflessioni su variabili e funzioni, in: M. Maurel (Ed.) Actes de SFIDA 13-16 (Nice, IREM), 17-26.
    • (2001) Actes de SFIDA 13-16 , pp. 17-26
    • Arzarello, F.1    Maschietto, M.2    Robutti, O.3
  • 8
    • 27944469498 scopus 로고    scopus 로고
    • Reform project for mathematics in compulsory school in Italy
    • L. Bazzini & C. Whybrow (Eds) (Milano, Ghisetti e Corvi Editori)
    • Arzarello, F., Robutti, O. & Paola, D. (2002) Reform project for mathematics in compulsory school in Italy, in: L. Bazzini & C. Whybrow (Eds) Mathematical literacy in the digital era, Proc. of CIEAEM 53 (Milano, Ghisetti e Corvi Editori), 92-102.
    • (2002) Mathematical Literacy in the Digital Era, Proc. of CIEAEM 53 , pp. 92-102
    • Arzarello, F.1    Robutti, O.2    Paola, D.3
  • 9
    • 27944494735 scopus 로고    scopus 로고
    • From body motion to algebra through graphing
    • H. Chick, K. Stacey, J. Vincent & J. Vincent (Eds) New ICMI Study Series, (Dordrecht, Kluwer Academic Publishers)
    • Arzarello, F. & Robutti, O. (2001) From body motion to algebra through graphing, in: H. Chick, K. Stacey, J. Vincent & J. Vincent (Eds) Twelfth ICMI study conference: the future of the teaching and learning of algebra, 33-40, New ICMI Study Series, 8 (Dordrecht, Kluwer Academic Publishers).
    • (2001) Twelfth ICMI Study Conference: The Future of the Teaching and Learning of Algebra , vol.8 , pp. 33-40
    • Arzarello, F.1    Robutti, O.2
  • 12
    • 27944511416 scopus 로고    scopus 로고
    • Research based instruction: Widening students' perspective when dealing with inequalities
    • H. Chick, K. Stacey, J. Vincent & J. Vincent (Eds) New ICMI Study Series, (Dordrecht, Kluwer Academic Publishers)
    • Bazzini, L. & Tsamir, P. (2001) Research based instruction: widening students' perspective when dealing with inequalities, in: H. Chick, K. Stacey, J. Vincent & J. Vincent (Eds) 12th ICMI study conference: the future of the teaching and learning of algebra, New ICMI Study Series, 8, 61-68 (Dordrecht, Kluwer Academic Publishers).
    • (2001) 12th ICMI Study Conference: The Future of the Teaching and Learning of Algebra , vol.8 , pp. 61-68
    • Bazzini, L.1    Tsamir, P.2
  • 13
    • 27944457920 scopus 로고    scopus 로고
    • From grounding metaphors to technological devices: A call for legitimacy in school mathematics
    • Bazzini, L. (2001) From grounding metaphors to technological devices: a call for legitimacy in school mathematics, Educational Studies in Mathematics, 47, 259-271.
    • (2001) Educational Studies in Mathematics , vol.47 , pp. 259-271
    • Bazzini, L.1
  • 14
    • 33751076017 scopus 로고    scopus 로고
    • Hermann Weyl on intuition and the continuum
    • Bell, J. L. (2000) Hermann Weyl on intuition and the continuum, Philosophia Mathematica, (3), p. 8.
    • (2000) Philosophia Mathematica , vol.3 , pp. 8
    • Bell, J.L.1
  • 16
    • 84874568056 scopus 로고
    • Mathematical literacy for all: Experiences and problems
    • online
    • Boero, P. (1989) Mathematical literacy for all: experiences and problems, in, Actes de la 13e Conférence Internationale PME, 62-74. online at http://igpme.org, accessed 14 February 2005.
    • (1989) Actes de la 13e Conférence Internationale PME , pp. 62-74
    • Boero, P.1
  • 17
    • 4544257776 scopus 로고    scopus 로고
    • Advanced technology and learning environments: Their relationships within the arithmetic problem-solving domain
    • L. English, M. Bartolini Bussi, G. Jones, R. Lesh & D. Tirosh (Eds) (New York, Lawrence Erlbaum Associates)
    • Bottino, R. M. & Chiappini, G. (2002) Advanced technology and learning environments: their relationships within the arithmetic problem-solving domain, in: L. English, M. Bartolini Bussi, G. Jones, R. Lesh & D. Tirosh (Eds) Handbook of international research in mathematics education (New York, Lawrence Erlbaum Associates), 757-786.
    • (2002) Handbook of International Research in Mathematics Education , pp. 757-786
    • Bottino, R.M.1    Chiappini, G.2
  • 18
    • 0007328245 scopus 로고    scopus 로고
    • Why is intuition so important to mathematicians but missing from mathematics education?
    • Burton, L. (1999) Why is intuition so important to mathematicians but missing from mathematics education?, For the Learning of Mathematics, 19(3), 27-32.
    • (1999) For the Learning of Mathematics , vol.19 , Issue.3 , pp. 27-32
    • Burton, L.1
  • 20
    • 27944444017 scopus 로고    scopus 로고
    • Toward a didactic practice based on mathematics laboratory activities
    • Bellaria, Italy
    • Chiappini, G. & Reggiani, M. (2003, in press) Toward a didactic practice based on mathematics laboratory activities, CERME 3 Bellaria, Italy.
    • (2003) CERME 3
    • Chiappini, G.1    Reggiani, M.2
  • 22
    • 0002573795 scopus 로고
    • Reflective abstraction in advanced mathematical thinking
    • D. Tall (Ed.) (Dordrecht, Kluwer Academic Publishers)
    • Dubinsky, E. (1991) Reflective abstraction in advanced mathematical thinking, in: D. Tall (Ed.) Advanced mathematical thinking (Dordrecht, Kluwer Academic Publishers), 95-123.
    • (1991) Advanced Mathematical Thinking , pp. 95-123
    • Dubinsky, E.1
  • 23
    • 5644241452 scopus 로고
    • Registres de représentation sémiotique et fonctionnement cognitif de la pensée
    • IREM de Strasbourg
    • Duval, R. (1993) Registres de représentation sémiotique et fonctionnement cognitif de la pensée, Annales de Didactique et de Sciences Cognitives IREM de Strasbourg.
    • (1993) Annales de Didactique et de Sciences Cognitives
    • Duval, R.1
  • 24
    • 17144367794 scopus 로고    scopus 로고
    • Approaching graphs with motion experiences
    • A. D. Cockbrun & E. Nardi (Eds) Norwich, University of East Anglia
    • Ferrara, F. & Robutti, O. (2002) Approaching graphs with motion experiences, in: A. D. Cockbrun & E. Nardi (Eds) Proceedings of PME 26, 4, 121-128 (Norwich, University of East Anglia).
    • (2002) Proceedings of PME , vol.26 , Issue.4 , pp. 121-128
    • Ferrara, F.1    Robutti, O.2
  • 26
    • 21344483370 scopus 로고
    • Duality, ambiguity and flexibility: A proceptual view of simple arithmetic
    • Gray, E. & Tall, D. (1994) Duality, ambiguity and flexibility: a proceptual view of simple arithmetic, Journal for Research in Mathematics Education, 26(2), 115-141.
    • (1994) Journal for Research in Mathematics Education , vol.26 , Issue.2 , pp. 115-141
    • Gray, E.1    Tall, D.2
  • 27
    • 27944458350 scopus 로고    scopus 로고
    • Between arithmetic and algebra: A space for the spreadsheet? Contribution to an instrumental approach
    • Bellaria, Italy
    • Haspekian, M. (2003, in press) Between arithmetic and algebra: a space for the spreadsheet? Contribution to an instrumental approach, Proceedings of CERME 3 Bellaria, Italy.
    • (2003) Proceedings of CERME 3
    • Haspekian, M.1
  • 30
    • 21244470421 scopus 로고
    • A functional approach to the introduction of algebra: Some pros and cons
    • Kieran, C. (1994) A functional approach to the introduction of algebra: some pros and cons, Proceedings of PME18, 1, 157-175.
    • (1994) Proceedings of PME18 , vol.1 , pp. 157-175
    • Kieran, C.1
  • 31
    • 27944507679 scopus 로고    scopus 로고
    • Analyzing the impact of ICT on mathematics teaching practices
    • Belluria, Italy
    • Lagrange, J. B. (2003, in press) Analyzing the impact of ICT on mathematics teaching practices, CERME3 Belluria, Italy.
    • (2003) CERME3
    • Lagrange, J.B.1
  • 33
    • 8644250321 scopus 로고    scopus 로고
    • Influence of technologies advances on students' math learning
    • L. English, M. Bartolini Bussi, G. Jones, R. Lesh & D. Tirosh (Eds) (New York, Lawrence Erbaum Associates)
    • Mariotti, M. A. (2002) Influence of technologies advances on students' math learning, in: L. English, M. Bartolini Bussi, G. Jones, R. Lesh & D. Tirosh (Eds) Handbook of international research in mathematics education (New York, Lawrence Erbaum Associates).
    • (2002) Handbook of International Research in Mathematics Education
    • Mariotti, M.A.1
  • 39
    • 0042173905 scopus 로고    scopus 로고
    • Signs and meanings in students' emergent algebraic thinking: A semiotic analysis
    • Radford, L. (2000) Signs and meanings in students' emergent algebraic thinking: a semiotic analysis, Educational Studies in Mathematics, 42(3), 237-268.
    • (2000) Educational Studies in Mathematics , vol.42 , Issue.3 , pp. 237-268
    • Radford, L.1
  • 40
    • 27944486500 scopus 로고    scopus 로고
    • The seen, the spoken and the written. A semiotic approach to the problem of objectification of mathematical knowledge
    • Radford, L. (2002) The seen, the spoken and the written. A semiotic approach to the problem of objectification of mathematical knowledge, For the Learning of Mathematics, 22(2), 14-23.
    • (2002) For the Learning of Mathematics , vol.22 , Issue.2 , pp. 14-23
    • Radford, L.1
  • 41
    • 27944465637 scopus 로고    scopus 로고
    • E' possibile avviare gli studenti al senso del grafico con calcolatrice e sensore?
    • Robutti, O. (2001) E' possibile avviare gli studenti al senso del grafico con calcolatrice e sensore?, Ipotesi, 4(3), 10-14.
    • (2001) Ipotesi , vol.4 , Issue.3 , pp. 10-14
    • Robutti, O.1
  • 42
    • 0002546637 scopus 로고
    • On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin
    • Sfard, A. (1991) On the dual nature of mathematical conceptions: reflections on processes and objects as different sides of the same coin, Educational Studies in Mathematics, 22, 1-36.
    • (1991) Educational Studies in Mathematics , vol.22 , pp. 1-36
    • Sfard, A.1
  • 43
    • 0010078170 scopus 로고    scopus 로고
    • An alternate route to relocation of function
    • Slavit, A. (1997) An alternate route to relocation of function, Educational Studies in Mathematics, 33, 259-281.
    • (1997) Educational Studies in Mathematics , vol.33 , pp. 259-281
    • Slavit, A.1
  • 45
    • 21844487017 scopus 로고
    • Cognition and artefact: A contribution to the study of thought in relation to instrumented activity
    • Vérillon, P. & Rabardel, P. (1995) Cognition and artefact: a contribution to the study of thought in relation to instrumented activity, European Journal of Education, 4(1), 77-101.
    • (1995) European Journal of Education , vol.4 , Issue.1 , pp. 77-101
    • Vérillon, P.1    Rabardel, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.