Why do gestures matter? Sensuous cognition and the palpability of mathematical meanings

Educational Studies in Mathematics

Volumn 70, Issue 2, 2009, Pages 111-126

  Radford, Luis ^a  

^a LAURENTIAN UNIVERSITY   (Canada)

Author keywords

Cognition; Gestures; Graphs; Mathematical meaning; Multimodality; Objectification; Semiotics

Indexed keywords

EID: 67349188870     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1007/s10649-008-9127-3     Document Type: Article

References (50)

1. M. Alibali M. Bassok K. O. Solomon S. E. Syc S. Goldin-Meadow 1999 Illuminating mental representations through speech and gesture Psychological Science 10 4 327 333
2. Arzarello, F. (2006a). Mathematical landscapes and their inhabitants: Perceptions, languages, theories. In: M. Niss (Ed.), Proceedings of the 10th International Congress on Mathematical Education (pp. 158-181). Copenhagen, Denmark, July 4-11, 2004. Roskilde University, Denmark.
3. F. Arzarello 2006 Semiosis as a multimodal process Revista Latinoamericana de Investigación en Matemática Educativa 9 267 299 Special issue on semiotics, culture, and mathematical thinking. Guest editors: L. Radford & B. D'Amore
4. Arzarello, F., & Robutti, O. (2004). Approaching functions through motion experiments. Educational Studies in Mathematics, 57(3) (PME special issue "Approaching functions through motion experiments," edited by R. Nemirovsky, M. Borba, & C. DiMattia. CD-Rom, chapter 1).
5. F. H. Cushing 1892 Manual concepts: A study of the influence of hand-usage on culture-growth The American Anthropologist 4 289 318
6. Deacon, T. W. (1997). The symbolic species. New York: W. W. Norton.
7. Eagleton, T. (1998). Body work. In S. Regan (Ed.), The Eagleton reader (pp. 157-162). Oxford: Blackwell.
8. E. Fischbein 1989 Tacit models and mathematical reasoning For The Learning of Mathematics 9 2 9 14
9. Freedman, N. (1977). Hands, words and mind: On the structuralization of body movements during discourse and the capacity for verbal representation. In N. Freedman, & S. Grand (Eds.), Communicative structures and psychic structures: A psychoanalytic approach (pp. 109-132). New York: Plenum.
10. P. Garber S. Goldin-Meadow 2002 Gesture offers insight into problem-solving in adults and children Cognitive Science 26 817 831
11. Geertz, C. (1973). The interpretation of cultures. New York: Basic.
12. Gehlen, A. (1988). Man. His nature and place in the world. New York: Columbia University Press.
13. Goldin-Meadow, S. (2003). Hearing gesture. How our hands help us think. Cambridge, MA: Belknap.
14. S. Goldin-Meadow H. Nusbaum S. D. Kelly S. Wagner 2001 Explaining math: Gesturing lightens the load Psychological Science 12 6 516 522 (Pubitemid 33653571)
15. Gómez, J. C. (2004). Apes, monkeys, children, and the growth of mind. Cambridge, MA: Harvard University Press.
16. Kendon, A. (Ed.) (1981). Current issues in the study of nonverbal communication. Selections from Semiotica. Hague: Mouton.
17. Kendon, A. (Ed.) (1993). Human gesture. Cambridge, MA: Cambridge University Press.
18. Kendon, A. (2004). Gesture: Visible action as utterance. Cambridge, MA: Cambridge University Press.
19. Kenneally, C. (2007). The first word. New York: Viking.
20. Kita, S. (2000). How representational gestures help speaking. In D. McNeill (Ed.), Language and gesture (pp. 162-185). Cambridge: Cambridge University Press.
21. Kita, S. (2003). Pointing. Where language, culture, and cognition meet. Mahwah, NJ: Lawrence Erlbaum.
22. Köhler, W. (1951). The mentality of apes. London: Routledge & Kegan Paul.
23. Laborit, E. (2003). Le cri de la mouette. Paris: Éditions Pocket Jeunesse.
24. Lakoff, G., & Johnson, M. (1999). Philosophy in the flesh. New York: Basic.
25. Lakoff, G., & Núñez, R. (2000). Where mathematics comes from. New York: Basic.
26. Lemke, J. (2003). Mathematics in the middle: Measure, picture, gesture, sign, and word. In M. Anderson, A. Sáenz-Ludlow, S. Zellweger, & V. Cifarelli (Eds.), Educational perspectives on mathematics as semiosis: From thinking to interpreting to knowing (pp. 215-234). Ottawa: Legas.
27. McNeill, D. (1992). Hand and mind. Chicago, IL: Chicago of University Press.
28. McNeill, D. (Ed.) (2000). Language and gesture. Cambridge, MA: Cambridge University Press.
29. McNeill, D. (2005). Gesture and thought. Chicago, IL: University of Chicago Press.
30. Nemirovsky, R. (2003). Three conjectures concerning the relationship between body activity and understanding mathematics. In P. N. B. Dougherty, & J. Zilliox (Eds.), Proceedings of the 27 Conference of the International Group for the Psychology Of Mathematics Education (Vol. 1, pp. 105-109). Hawaii: University of Hawaii.
31. Núñez, R. (2007). Understanding abstraction in mathematics education: Meaning, language, gesture, and the human brain. Conference delivered at the 31st Annual Meeting of the Canadian Mathematics Education Study Group. Fredericton, University of New Brunswick, June 8-12, 2007.
32. R. Núñez L. Edwards J. F. Matos 1999 Embodied cognition as grounding for situatedness and context in mathematics education Educational Studies in Mathematics 39 1-3 45 65
33. L. Radford 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
34. L. Radford 2003 Gestures, speech and the sprouting of signs Mathematical Thinking and Learning 5 1 37 70
35. L. Radford 2004 Cose sensibili, essenze, oggetti matematici ed altre ambiguità [Sensible things, essences, mathematical objects and other ambiguities] La Matematica e la Sua Didattica 1 4 23 English version available at: http://laurentian.ca/educ/lradford/
36. L. Radford 2006 Elements of a cultural theory of objectification Revista Latinoamericana de Investigación en Matemática Educativa 9 103 129 Special issue on semiotics, culture and mathematical thinking. Available at: http://laurentian.ca/educ/lradford/
37. L. Radford 2006 The anthropology of meaning Educational Studies in Mathematics 61 39 65
38. Radford, L. (2008). Towards a cultural theory of learning. In L. Radford, G. Schubring & F. Seeger (Eds.), Semiotics in mathematics education: Epistemology, history, classroom, and culture. Rotterdam: Sense (in press).
39. L. Radford C. Bardini C. Sabena 2007 Perceiving the general: The multisemiotic dimension of students' algebraic activity Journal for Research in Mathematics Education 38 507 530
40. Radford, L., Bardini, C., Sabena, C., Diallo, P., & Simbagoye, A. (2005). On embodiment, artifacts, and signs: A semiotic-cultural perspective on mathematical thinking. In H. L. Chick, & J. L. Vincent (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 129-136). Australia: University of Melbourne.
41. Radford, L., Cerulli, M., Demers, S., & Guzmán, J. (2004). The sensual and the conceptual: Artefact-mediated kinesthetic actions and semiotic activity. In M. J. Høines, & A. B. Fuglestad (Eds.), Proceedings of the 28 Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 73-80). Norway: Bergen University College.
42. Radford, L., Demers, S., Guzmán, J., & Cerulli, M. (2003). Calculators, graphs, gestures, and the production meaning. In P. N. B. Dougherty, & J. Zilliox (Eds.), Proceedings of the 27 Conference of the International Group for the Psychology Of Mathematics Education (Vol. 4, pp. 55-62). Hawaii: University of Hawaii.
43. O. Robutti 2006 Motion, technology, gesture in interpreting graphs International Journal for Technology in Mathematics Education 13 3 117 126
44. M.-W. Roth 2001 Gestures: Their role in teaching and learning Review of Educational Research 71 3 365 392 (Pubitemid 33402448)
45. Sabena, C. (in press). On the semiotics of gestures. In L. Radford, G. Schubring & F. Seeger (Eds.), Semiotics in mathematics education: Epistemology, history, classroom, and culture. Rotterdam: Sense.
46. Savage-Rumbaugh, S., & Lewin, R. (1994). Kanzi. New York: Wiley.
47. J. A. Seitz 2000 The bodily basis of thought New Ideas in Psychology 18 23 40
48. Tomasello, M., & Call, J. (1997). Primate cognition. New York: Oxford University Press.
49. Vygotsky, L. S. (1986). In A. Kozulin (Ed.), Thought and language. Cambridge, MA: MIT.
50. Wertsch, J. V. (1991). Voices of the mind. A sociocultural approach to mediate action. Cambridge, MA: Harvard University Press.