메뉴 건너뛰기




Volumn 15, Issue 2, 1997, Pages 207-264

Mathematizing verbal descriptions of situations: A language to support modeling

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0041161308     PISSN: 07370008     EISSN: None     Source Type: Journal    
DOI: 10.1207/s1532690xci1502_3     Document Type: Article
Times cited : (24)

References (35)
  • 1
    • 0003176567 scopus 로고
    • With the eye on the mathematical horizon: Dilemmas of teaching elementary school mathematics
    • Ball Loewenberg, D. (1993). With the eye on the mathematical horizon: Dilemmas of teaching elementary school mathematics. The Elementary School Journal, 93, 373-397.
    • (1993) The Elementary School Journal , vol.93 , pp. 373-397
    • Ball Loewenberg, D.1
  • 2
    • 0040258938 scopus 로고
    • Levels in the understanding of the function concept
    • G. vanBarneveld & H. Kabbendam (Eds.), Enschede, The Netherlands: National Institute for Curriculum
    • Bergeron, J. C., & Herscovics, N. (1982). Levels in the understanding of the function concept. In G. vanBarneveld & H. Kabbendam (Eds.), Proceedings of the Conference on Functions (pp. 39-46). Enschede, The Netherlands: National Institute for Curriculum.
    • (1982) Proceedings of the Conference on Functions , pp. 39-46
    • Bergeron, J.C.1    Herscovics, N.2
  • 3
    • 84935412703 scopus 로고
    • Design experiments: Theoretical and methodological challenges in creating complex interventions in classroom settings
    • Brown, A. (1992). Design experiments: Theoretical and methodological challenges in creating complex interventions in classroom settings. The Journal of the Learning Sciences, 2, 141-178.
    • (1992) The Journal of the Learning Sciences , vol.2 , pp. 141-178
    • Brown, A.1
  • 4
    • 0041119764 scopus 로고
    • Sketching graphs of an independent and a dependent quantity: Difficulties in learning to make stylized, conventional "pictures."
    • J. P. da Ponte & J. F. Matos (Eds.), Lisbon, Portugal: University of Lisbon
    • Chazan, D., & Bethell, S. (1993). Sketching graphs of an independent and a dependent quantity: Difficulties in learning to make stylized, conventional "pictures." In J. P. da Ponte & J. F. Matos (Eds.), Proceedings of the 18th International Conference for the Psychology of Mathematics Education (pp. 176-184). Lisbon, Portugal: University of Lisbon.
    • (1993) Proceedings of the 18th International Conference for the Psychology of Mathematics Education , pp. 176-184
    • Chazan, D.1    Bethell, S.2
  • 5
    • 0039667208 scopus 로고
    • Utrecht, The Netherlands: Rijksuniversiteit Utrecht, Vekgroep Onderzoek Wiskundeonderwijs en Onderwijscomputercentrum
    • deLange, J. (1987). Mathematics, insight and meaning. Utrecht, The Netherlands: Rijksuniversiteit Utrecht, Vekgroep Onderzoek Wiskundeonderwijs en Onderwijscomputercentrum.
    • (1987) Mathematics, Insight and Meaning
    • DeLange, J.1
  • 6
    • 85033110660 scopus 로고
    • Comments on Ed Dubinsky's chapter
    • A. Schoenfeld (Ed.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • diSessa, A. A. (1994). Comments on Ed Dubinsky's chapter. In A. Schoenfeld (Ed.), Mathematical thinking and problem solving (pp. 248-256). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • (1994) Mathematical Thinking and Problem Solving , pp. 248-256
    • DiSessa, A.A.1
  • 9
    • 0012185857 scopus 로고
    • Functions and graphs: Perspectives on student thinking
    • T. A. Romberg, E. Fennema, & T. P. Carpenter (Eds.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • Dugdale, S. (1993). Functions and graphs: Perspectives on student thinking. In T. A. Romberg, E. Fennema, & T. P. Carpenter (Eds.), Integrating research on the graphical representation of functions (pp. 101-130). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • (1993) Integrating Research on the Graphical Representation of Functions , pp. 101-130
    • Dugdale, S.1
  • 11
    • 84963482739 scopus 로고
    • Exploring the episodic structure of algebra story problem solving
    • Hall, R., Kibler, D., Wenger, E., & Truxsaw, C. (1989). Exploring the episodic structure of algebra story problem solving. Cognition and Instruction, 6, 223-283.
    • (1989) Cognition and Instruction , vol.6 , pp. 223-283
    • Hall, R.1    Kibler, D.2    Wenger, E.3    Truxsaw, C.4
  • 12
    • 0040258936 scopus 로고
    • Approaches to the notion of function in relation to set theory
    • Rep. No. 1, Foundation for Curriculum Development
    • Janvier, C. (1982). Approaches to the notion of function in relation to set theory. In Conference on functions (Rep. No. 1, pp. 114-124). Foundation for Curriculum Development.
    • (1982) Conference on Functions , pp. 114-124
    • Janvier, C.1
  • 13
    • 0010172643 scopus 로고
    • Translation processes in mathematics education
    • C. Janvier (Ed.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • Janvier, C. (1987). Translation processes in mathematics education. In C. Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 27-32). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • (1987) Problems of Representation in the Teaching and Learning of Mathematics , pp. 27-32
    • Janvier, C.1
  • 14
    • 53249137055 scopus 로고    scopus 로고
    • Modeling and the initiation to algebra
    • in press. N. Bednarz, C. Kieran, & L. Lee (Eds.), Dordrecht, The Netherlands: Kluwer
    • Janvier, C. (in press). Modeling and the initiation to algebra. In N. Bednarz, C. Kieran, & L. Lee (Eds.), Approaches to algebra: Perspectives for research and teaching. Dordrecht, The Netherlands: Kluwer.
    • Approaches to Algebra: Perspectives for Research and Teaching
    • Janvier, C.1
  • 15
    • 0040258939 scopus 로고
    • The urgent need for proleptic research in the representation of quantitative relationships
    • T. A. Romberg, E. Fennema, & T. P. Carpenter (Eds.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • Kaput, J. J. (1993). The urgent need for proleptic research in the representation of quantitative relationships. In T. A. Romberg, E. Fennema, & T. P. Carpenter (Eds.), Integrating research on the graphical representation of functions (pp. 279-312). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • (1993) Integrating Research on the Graphical Representation of Functions , pp. 279-312
    • Kaput, J.J.1
  • 16
    • 0002031441 scopus 로고
    • Democratizing access to calculus: New routes to old roots
    • A. Schoenfeld (Ed.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • Kaput, J. J. (1994). Democratizing access to calculus: New routes to old roots. In A. Schoenfeld (Ed.), Mathematical thinking and problem solving (pp. 77-156). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • (1994) Mathematical Thinking and Problem Solving , pp. 77-156
    • Kaput, J.J.1
  • 18
    • 0003994213 scopus 로고
    • Cambridge, MA: Harvard University Press. (Original work published 1942)
    • Langer, S. K. (1957). Philosophy in a new key. Cambridge, MA: Harvard University Press. (Original work published 1942)
    • (1957) Philosophy in a New Key
    • Langer, S.K.1
  • 19
    • 0000507908 scopus 로고
    • Students' understanding of a function given by physical model
    • E. Dubinsky & G. Harel (Eds.), Washington, DC: Mathematical Association of America
    • Monk, S. (1992). Students' understanding of a function given by physical model. In E. Dubinsky & G. Harel (Eds.), Learning the concept of function (pp. 175-194). Washington, DC: Mathematical Association of America.
    • (1992) Learning the Concept of Function , pp. 175-194
    • Monk, S.1
  • 20
    • 0008796316 scopus 로고
    • The case of Dan: Student construction of a functional situation through visual attribute
    • Monk, S., & Nemirovsky, R. (1994). The case of Dan: Student construction of a functional situation through visual attribute. Issues in Mathematics Education, 4, 139-168.
    • (1994) Issues in Mathematics Education , vol.4 , pp. 139-168
    • Monk, S.1    Nemirovsky, R.2
  • 21
    • 0000551052 scopus 로고
    • A theory of algebra word problem comprehension and its implications for the design of learning environments
    • Nathan, M. J., Kintch, W., & Young, E. (1992). A theory of algebra word problem comprehension and its implications for the design of learning environments. Cognition and Instruction, 9, 329-389.
    • (1992) Cognition and Instruction , vol.9 , pp. 329-389
    • Nathan, M.J.1    Kintch, W.2    Young, E.3
  • 24
    • 0039340620 scopus 로고    scopus 로고
    • Mathematical narratives
    • in press. N. Bednarz, C. Kieran, & L. Lee (Eds.), Dordrecht, The Netherlands: Kluwer
    • Nemirovsky, R. (in press). Mathematical narratives. In N. Bednarz, C. Kieran, & L. Lee (Eds.), Approaches to algebra: Perspectives for research and teaching. Dordrecht, The Netherlands: Kluwer.
    • Approaches to Algebra: Perspectives for Research and Teaching
    • Nemirovsky, R.1
  • 25
    • 85085425347 scopus 로고
    • Microworlds in mathematical education: A pedagogical realism
    • L. B. Resnick (Ed.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • Nesher, P. (1989). Microworlds in mathematical education: A pedagogical realism. In L. B. Resnick (Ed.), Knowing, learning, and instruction (pp. 187-215). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • (1989) Knowing, Learning, and Instruction , pp. 187-215
    • Nesher, P.1
  • 26
    • 0040258937 scopus 로고
    • The nature of modeling
    • H. Mellar, J. Bliss, R. Boohan, J. Ogborn, & C. Tompsett (Eds.), London: Falmer
    • Ogborn, J. (1994). The nature of modeling. In H. Mellar, J. Bliss, R. Boohan, J. Ogborn, & C. Tompsett (Eds.), Learning with artificial worlds: Computer-based modeling in the curriculum (pp. 11-15). London: Falmer.
    • (1994) Learning with Artificial Worlds: Computer-based Modeling in the Curriculum , pp. 11-15
    • Ogborn, J.1
  • 27
    • 0003003073 scopus 로고
    • Augmenting the discourse of learning with computer-based learning environments
    • E. De Corte, M. C. Linn, H. Mandl, & L. Verschaffel (Eds.), Berlin, Germany: Springer-Verlag
    • Pea, R. D. (1992). Augmenting the discourse of learning with computer-based learning environments. In E. De Corte, M. C. Linn, H. Mandl, & L. Verschaffel (Eds.), Computer-based learning environments and problem solving (pp. 313-344). Berlin, Germany: Springer-Verlag.
    • (1992) Computer-based Learning Environments and Problem Solving , pp. 313-344
    • Pea, R.D.1
  • 28
    • 0010022270 scopus 로고
    • Classroom instruction that fosters mathematical thinking and problem solving: Connections between theory and practice
    • A. Schoenfeld (Ed.), Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • Romberg, T. A. (1994). Classroom instruction that fosters mathematical thinking and problem solving: Connections between theory and practice. In A. Schoenfeld (Ed.), Mathematical thinking and problem solving (pp. 287-304). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
    • (1994) Mathematical Thinking and Problem Solving , pp. 287-304
    • Romberg, T.A.1
  • 29
    • 85033101644 scopus 로고
    • November. Paper presented at the 16th Annual Conference of the Psychology of Mathematics Education, Baton Rouge, LA
    • Rubin, A., & Kimball, N. (1994, November). Jumping and running: Using technology to capture the real world. Paper presented at the 16th Annual Conference of the Psychology of Mathematics Education, Baton Rouge, LA.
    • (1994) Jumping and Running: Using Technology to Capture the Real World
    • Rubin, A.1    Kimball, N.2
  • 30
    • 0042238836 scopus 로고
    • Getting students to function in and with algebra
    • E. Dubinsky & G. Harel (Eds.), Washington, DC: Mathematical Association of America
    • Schwartz, J. L., & Yerushalmy, M. (1992). Getting students to function in and with algebra. In E. Dubinsky & G. Harel (Eds.), Learning the concept of function (pp. 281-289). Washington, DC: Mathematical Association of America.
    • (1992) Learning the Concept of Function , pp. 281-289
    • Schwartz, J.L.1    Yerushalmy, M.2
  • 31
    • 0041036874 scopus 로고
    • The teaching of functions and graphs
    • G. vanBarneveld & H. Kabbendam (Eds.), Enschede, The Netherlands: National Institute for Curriculum
    • Swan, M. (1982). The teaching of functions and graphs. In G. vanBarneveld & H. Kabbendam (Eds.), Proceedings of the Conference on Functions (pp. 151-165). Enschede, The Netherlands: National Institute for Curriculum.
    • (1982) Proceedings of the Conference on Functions , pp. 151-165
    • Swan, M.1
  • 33
    • 0000019871 scopus 로고
    • Images of rate and operational understanding of the fundamental theorem of calculus
    • Thompson, P. (1994). Images of rate and operational understanding of the fundamental theorem of calculus. Educational Studies in Mathematics, 26, 229-274.
    • (1994) Educational Studies in Mathematics , vol.26 , pp. 229-274
    • Thompson, P.1
  • 34
    • 85033107409 scopus 로고
    • April. Paper presented at the meeting of the American Educational Research Association, San Francisco
    • Tierney, C. C., & Nemirovsky, R. (1995, April). Children's graphing of changing situations. Paper presented at the meeting of the American Educational Research Association, San Francisco.
    • (1995) Children's Graphing of Changing Situations
    • Tierney, C.C.1    Nemirovsky, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.