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Volumn 46, Issue 1, 2014, Pages 79-93

Coordinating visualizations of polysemous action: Values added for grounding proportion

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EID: 84893573361     PISSN: 18639690     EISSN: 18639704     Source Type: Journal    
DOI: 10.1007/s11858-013-0521-7     Document Type: Article
Times cited : (60)

References (56)
  • 1
    • 84868156604 scopus 로고    scopus 로고
    • Discovery reconceived: Product before process
    • Abrahamson, D. (2012). Discovery reconceived: Product before process. For the Learning of Mathematics, 32(1), 8-15.
    • (2012) For the Learning of Mathematics , vol.32 , Issue.1 , pp. 8-15
    • Abrahamson, D.1
  • 3
  • 5
    • 33745947524 scopus 로고    scopus 로고
    • I see what you are saying: Action as cognition in fMRI brain mapping practice
    • Alač, M., & Hutchins, E. (2004). I see what you are saying: Action as cognition in fMRI brain mapping practice. Journal of Cognition and Culture, 4(3), 629-661.
    • (2004) Journal of Cognition and Culture , vol.4 , Issue.3 , pp. 629-661
    • Alač, M.1    Hutchins, E.2
  • 6
    • 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
  • 7
    • 8644238719 scopus 로고    scopus 로고
    • The role of visual representations in the learning of mathematics
    • Arcavi, A. (2003). The role of visual representations in the learning of mathematics. Educational Studies in Mathematics, 52(3), 215-241.
    • (2003) Educational Studies in Mathematics , vol.52 , Issue.3 , pp. 215-241
    • Arcavi, A.1
  • 8
    • 84858219409 scopus 로고    scopus 로고
    • Multimodality in multi-representational environments
    • In P. Drijvers & H.-G. Wigand (Eds.), ZDM: The International Journal on Mathematics Education
    • Arzarello, F., & Robutti, O. (2010). Multimodality in multi-representational environments. In P. Drijvers & H.-G. Wigand (Eds.), The role of handheld technology in the mathematics classroom [Special issue]. ZDM: The International Journal on Mathematics Education, 42(7), 715-731.
    • (2010) The role of handheld technology in the mathematics classroom [Special issue] , vol.42 , Issue.7 , pp. 715-731
    • Arzarello, F.1    Robutti, O.2
  • 10
    • 70350423279 scopus 로고    scopus 로고
    • Researchers' descriptions and the construction of mathematical thinking
    • Barwell, R. (2009). Researchers' descriptions and the construction of mathematical thinking. Educational Studies in Mathematics, 72(2), 255-269.
    • (2009) Educational Studies in Mathematics , vol.72 , Issue.2 , pp. 255-269
    • Barwell, R.1
  • 12
    • 0002766291 scopus 로고
    • Cognitive coping strategies and the problem of inert knowledge
    • In S. F. Chipman, J. W. Segal & R. Glaser (Eds.), Mahwah: Lawrence Erlbaum Associates
    • Bereiter, C., & Scardamalia, M. (1985). Cognitive coping strategies and the problem of "inert knowledge". In S. F. Chipman, J. W. Segal & R. Glaser (Eds.), Thinking and learning skills: Current research and open questions [Research and open questions] (Vol. 2, pp. 65-80). Mahwah: Lawrence Erlbaum Associates.
    • (1985) Thinking and learning skills: Current research and open questions [Research and open questions] , vol.2 , pp. 65-80
    • Bereiter, C.1    Scardamalia, M.2
  • 15
    • 0041738484 scopus 로고    scopus 로고
    • Analysis of clinical interviews: Foundations and model viability
    • A. E. Kelly and R. A. Lesh (Eds.), Mahwah: Lawrence Erlbaum Associates
    • Clement, J. (2000). Analysis of clinical interviews: Foundations and model viability. In A. E. Kelly & R. A. Lesh (Eds.), Handbook of research design in mathematics and science education (pp. 547-589). Mahwah: Lawrence Erlbaum Associates.
    • (2000) Handbook of Research Design in Mathematics and Science Education , pp. 547-589
    • Clement, J.1
  • 16
    • 0009117263 scopus 로고    scopus 로고
    • Building mathematical structure within a conjecture driven teaching experiment on splitting
    • In S. B. Berenson, K. R. Dawkins, M. Blanton, W. N. Coulombe, J. Kolb, K. Norwood & L. Stiff (Eds.), Columbus: Eric Clearinghouse for Science, Mathematics, and Environmental Education
    • Confrey, J. (1998). Building mathematical structure within a conjecture driven teaching experiment on splitting In S. B. Berenson, K. R. Dawkins, M. Blanton, W. N. Coulombe, J. Kolb, K. Norwood & L. Stiff (Eds.), Proceedings of the Twentieth Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 39-48). Columbus: Eric Clearinghouse for Science, Mathematics, and Environmental Education.
    • (1998) Proceedings of the Twentieth Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education , pp. 39-48
    • Confrey, J.1
  • 17
    • 57849161617 scopus 로고    scopus 로고
    • The evolution of design studies as methodology
    • R. K. Sawyer (Ed.), Cambridge: Cambridge University Press
    • Confrey, J. (2005). The evolution of design studies as methodology. In R. K. Sawyer (Ed.), The Cambridge handbook of the learning sciences (pp. 135-151). Cambridge: Cambridge University Press.
    • (2005) The Cambridge Handbook of the Learning Sciences , pp. 135-151
    • Confrey, J.1
  • 19
    • 0041408280 scopus 로고    scopus 로고
    • Intelligence without representation: Merleau-Ponty's critique of mental representation
    • Dreyfus, H. L. (2002). Intelligence without representation: Merleau-Ponty's critique of mental representation. Phenomenology and the Cognitive Sciences, 1(4), 367-383.
    • (2002) Phenomenology and the Cognitive Sciences , vol.1 , Issue.4 , pp. 367-383
    • Dreyfus, H.L.1
  • 21
    • 29144527776 scopus 로고    scopus 로고
    • Describing polysemy: The case of crawl
    • C. Leacock (Ed.), Oxford: Oxford University Press
    • Fillmore, C. J., & Atkins, B. T. S. (2000). Describing polysemy: The case of "crawl". In C. Leacock (Ed.), Polysemy: Theoretical and computational approaches (pp. 91-110). Oxford: Oxford University Press.
    • (2000) Polysemy: Theoretical and Computational Approaches , pp. 91-110
    • Fillmore, C.J.1    Atkins, B.T.S.2
  • 22
    • 84860850451 scopus 로고    scopus 로고
    • Productive ambiguity in the learning of mathematics
    • Foster, C. (2011). Productive ambiguity in the learning of mathematics. For the Learning of Mathematics, 31(2), 3-7.
    • (2011) For the Learning of Mathematics , vol.31 , Issue.2 , pp. 3-7
    • Foster, C.1
  • 24
    • 0029944419 scopus 로고    scopus 로고
    • Action recognition in the premotor cortex
    • Gallese, V., Fadiga, L., Fogassi, L., & Rizzolatti, G. (1996). Action recognition in the premotor cortex. Brain, 119(2), 593-609.
    • (1996) Brain , vol.119 , Issue.2 , pp. 593-609
    • Gallese, V.1    Fadiga, L.2    Fogassi, L.3    Rizzolatti, G.4
  • 27
    • 3843071396 scopus 로고    scopus 로고
    • A scientific perspective on structured, task-based interviews in mathematics education research
    • A. E. Kelly and R. A. Lesh (Eds.), Mahwah: Lawrence Erlbaum Associates
    • Goldin, G. A. (2000). A scientific perspective on structured, task-based interviews in mathematics education research. In A. E. Kelly & R. A. Lesh (Eds.), Handbook of research design in mathematics and science education (pp. 517-545). Mahwah: Lawrence Erlbaum Associates.
    • (2000) Handbook of Research Design in Mathematics and Science Education , pp. 517-545
    • Goldin, G.A.1
  • 28
    • 0031616945 scopus 로고    scopus 로고
    • Reuniting perception and conception
    • Goldstone, R. L., & Barsalou, L. W. (1998). Reuniting perception and conception. Cognition, 65, 231-262.
    • (1998) Cognition , vol.65 , pp. 231-262
    • Goldstone, R.L.1    Barsalou, L.W.2
  • 29
    • 84981922507 scopus 로고
    • Professional vision
    • Goodwin, C. (1994). Professional vision. American Anthropologist, 96(3), 603-633.
    • (1994) American Anthropologist , vol.96 , Issue.3 , pp. 603-633
    • Goodwin, C.1
  • 30
    • 51249181946 scopus 로고
    • Epistemological and methodological bases of naturalistic inquiry
    • Guba, E. G., & Lincoln, Y. S. (1982). Epistemological and methodological bases of naturalistic inquiry. Educational Technology Research and Development, 30(4), 233-252.
    • (1982) Educational Technology Research and Development , vol.30 , Issue.4 , pp. 233-252
    • Guba, E.G.1    Lincoln, Y.S.2
  • 31
    • 0035495020 scopus 로고    scopus 로고
    • The theory of event coding (TEC): A framework for perception and action planning
    • Hommel, B., Müsseler, J., Aschersleben, G., & Prinz, W. (2001). The theory of event coding (TEC): A framework for perception and action planning. Behavioral and Brain Sciences, 24, 849-878.
    • (2001) Behavioral and Brain Sciences , vol.24 , pp. 849-878
    • Hommel, B.1    Müsseler, J.2    Aschersleben, G.3    Prinz, W.4
  • 33
    • 0037563043 scopus 로고
    • Scopic regimes of modernity
    • H. Foster (Ed.), New York: The New Press
    • Jay, M. (1988). Scopic regimes of modernity. In H. Foster (Ed.), Vision and visuality (pp. 3-23). New York: The New Press.
    • (1988) Vision and Visuality , pp. 3-23
    • Jay, M.1
  • 34
    • 0002351467 scopus 로고
    • Missing-value proportional reasoning problems: Factors affecting informal reasoning patterns
    • G. Harel and J. Confrey (Eds.), Albany: SUNY
    • Kaput, J., & West, M. M. (1994). Missing-value proportional reasoning problems: Factors affecting informal reasoning patterns. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 237-287). Albany: SUNY.
    • (1994) The Development of Multiplicative Reasoning in the Learning of Mathematics , pp. 237-287
    • Kaput, J.1    West, M.M.2
  • 35
    • 80054779486 scopus 로고    scopus 로고
    • Thinking with the body
    • S. Ohlsson and R. Catrambone (Eds.), Austin: Cognitive Science Society
    • Kirsh, D. (2010). Thinking with the body. In S. Ohlsson & R. Catrambone (Eds.), Proceedings of the 32nd annual meeting of the cognitive science society (pp. 2864-2869). Austin: Cognitive Science Society.
    • (2010) Proceedings of the 32nd Annual Meeting of the Cognitive Science Society , pp. 2864-2869
    • Kirsh, D.1
  • 37
    • 54949096914 scopus 로고    scopus 로고
    • Rational numbers and proportional reasoning: Toward a theoretical framework for research
    • F. K. Lester (Ed.), Charlotte,: Information Age Publishing
    • Lamon, S. J. (2007). Rational numbers and proportional reasoning: Toward a theoretical framework for research. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 629-667). Charlotte,: Information Age Publishing.
    • (2007) Second Handbook of Research on Mathematics Teaching and Learning , pp. 629-667
    • Lamon, S.J.1
  • 38
    • 84892672672 scopus 로고    scopus 로고
    • Polysemy of symbols: Signs of ambiguity
    • Mamolo, A. (2010). Polysemy of symbols: Signs of ambiguity. The Montana Mathematics Enthusiast, 7(2&3), 247-261.
    • (2010) The Montana Mathematics Enthusiast , vol.7 , Issue.2-3 , pp. 247-261
    • Mamolo, A.1
  • 39
    • 21344477317 scopus 로고
    • Structural alignment during similarity comparisons
    • Markman, A. B., & Gentner, D. (1993). Structural alignment during similarity comparisons. Cognitive Psychology, 25, 431-467.
    • (1993) Cognitive Psychology , vol.25 , pp. 431-467
    • Markman, A.B.1    Gentner, D.2
  • 40
    • 79957607690 scopus 로고    scopus 로고
    • Episodic feelings and transfer of learning
    • Nemirovsky, R. (2011). Episodic feelings and transfer of learning. Journal of the Learning Sciences, 20(2), 308-337.
    • (2011) Journal of the Learning Sciences , vol.20 , Issue.2 , pp. 308-337
    • Nemirovsky, R.1
  • 42
    • 0004268713 scopus 로고
    • (E. Duckworth, Trans.). New York: Columbia University Press
    • Piaget, J. (1968). Genetic epistemology (E. Duckworth, Trans.). New York: Columbia University Press.
    • (1968) Genetic epistemology
    • Piaget, J.1
  • 43
    • 0010690055 scopus 로고
    • Growth in mathematical understanding: How can we characterize it and how can we represent it?
    • Pirie, S. E. B., & Kieren, T. E. (1994). Growth in mathematical understanding: How can we characterize it and how can we represent it? Educational Studies in Mathematics, 26, 165-190.
    • (1994) Educational Studies in Mathematics , vol.26 , pp. 165-190
    • Pirie, S.E.B.1    Kieren, T.E.2
  • 44
    • 29144470673 scopus 로고    scopus 로고
    • Gestures, speech, and the sprouting of signs: A semiotic-cultural approach to students' types of generalization
    • Radford, L. (2003). Gestures, speech, and the sprouting of signs: A semiotic-cultural approach to students' types of generalization. Mathematical Thinking and Learning, 5(1), 37-70.
    • (2003) Mathematical Thinking and Learning , vol.5 , Issue.1 , pp. 37-70
    • Radford, L.1
  • 45
    • 0000268131 scopus 로고
    • From protoquantities to operators: Building mathematical competence on a foundation of everyday knowledge
    • G. Leinhardt, R. Putnam, and R. A. Hattrup (Eds.), Hillsdale: LEA
    • Resnick, L. B. (1992). From protoquantities to operators: Building mathematical competence on a foundation of everyday knowledge. In G. Leinhardt, R. Putnam, & R. A. Hattrup (Eds.), Analysis of arithmetic for mathematics teaching (pp. 373-429). Hillsdale: LEA.
    • (1992) Analysis of Arithmetic for Mathematics Teaching , pp. 373-429
    • Resnick, L.B.1
  • 47
    • 82555162350 scopus 로고    scopus 로고
    • Incarnation: Radicalizing the embodiment of mathematics
    • Roth, W.-M. (2010). Incarnation: Radicalizing the embodiment of mathematics. For the Learning of Mathematics, 30(2), 8-17.
    • (2010) For the Learning of Mathematics , vol.30 , Issue.2 , pp. 8-17
    • Roth, W.-M.1
  • 48
    • 3843150847 scopus 로고    scopus 로고
    • Pronouns in mathematics talk: Power, vagueness and generalisation
    • Rowland, T. (1999). Pronouns in mathematics talk: Power, vagueness and generalisation. For the Learning of Mathematics, 19(2), 19-26.
    • (1999) For the Learning of Mathematics , vol.19 , Issue.2 , pp. 19-26
    • Rowland, T.1
  • 49
    • 85121571296 scopus 로고
    • Learning: The microgenetic analysis of one student's evolving understanding of a complex subject matter domain
    • R. Glaser (Ed.), Hillsdale: Erlbaum
    • Schoenfeld, A. H., Smith, J. P., & Arcavi, A. (1991). Learning: The microgenetic analysis of one student's evolving understanding of a complex subject matter domain. In R. Glaser (Ed.), Advances in instructional psychology (pp. 55-175). Hillsdale: Erlbaum.
    • (1991) Advances in Instructional Psychology , pp. 55-175
    • Schoenfeld, A.H.1    Smith, J.P.2    Arcavi, A.3
  • 50
    • 0036082848 scopus 로고    scopus 로고
    • The interplay of intimations and implementations: Generating new discourse with new symbolic tools
    • Sfard, A. (2002). The interplay of intimations and implementations: Generating new discourse with new symbolic tools. Journal of the Learning Sciences, 11(2&3), 319-357.
    • (2002) Journal of the Learning Sciences , vol.11 , Issue.2-3 , pp. 319-357
    • Sfard, A.1
  • 51
    • 0037548823 scopus 로고    scopus 로고
    • Disciplined perception: Learning to see in technoscience
    • M. Lampert and M. L. Blunk (Eds.), New York: Cambridge University Press
    • Stevens, R., & Hall, R. (1998). Disciplined perception: Learning to see in technoscience. In M. Lampert & M. L. Blunk (Eds.), Talking mathematics in school: Studies of teaching and learning (pp. 107-149). New York: Cambridge University Press.
    • (1998) Talking Mathematics in School: Studies of Teaching and Learning , pp. 107-149
    • Stevens, R.1    Hall, R.2
  • 53
    • 0002245154 scopus 로고
    • The design of a mathematics course: A theoretical reflection
    • Streefland, L. (1993). The design of a mathematics course: A theoretical reflection. Educational Studies in Mathematics, 25(1), 109-135.
    • (1993) Educational Studies in Mathematics , vol.25 , Issue.1 , pp. 109-135
    • Streefland, L.1
  • 54
    • 0010424734 scopus 로고
    • Quantitative reasoning, complexity, and additive structures
    • Thompson, P. W. (1993). Quantitative reasoning, complexity, and additive structures. Educational Studies in Mathematics, 3, 165-208.
    • (1993) Educational Studies in Mathematics , vol.3 , pp. 165-208
    • Thompson, P.W.1
  • 55
    • 33645415987 scopus 로고
    • Disambiguating ambiguous figures by selective attention
    • Tsal, Y., & Kolbet, L. (1985). Disambiguating ambiguous figures by selective attention. Quarterly Journal of Experimental Psychology, 37(1-A), 25-37.
    • (1985) Quarterly Journal of Experimental Psychology , vol.37 , Issue.1 A , pp. 25-37
    • Tsal, Y.1    Kolbet, L.2
  • 56
    • 0000857123 scopus 로고
    • Multiplicative structures
    • R. Lesh and M. Landau (Eds.), New York: Academic Press
    • Vergnaud, G. (1983). Multiplicative structures. In R. Lesh & M. Landau (Eds.), Acquisition of mathematical concepts and processes (pp. 127-174). New York: Academic Press.
    • (1983) Acquisition of Mathematical Concepts and Processes , pp. 127-174
    • Vergnaud, G.1


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