Abstract
By referring to the data presented in Chap. 2, the chapter introduces the theoretical approach of Action, Production, and Communication (APC) and the related tool of the semiotic bundle. APC provides a frame for investigating semiotic resources in the classroom. It addresses the use of semiotic resources from a multimodal perspective including the analysis of gestures as a resource for thinking and communication.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Arzarello, F. (2008). Mathematical landscapes and their inhabitants: Perceptions, languages, theories. In E. Emborg & M. Niss (Eds.), Proceedings of the 10th International Congress of Mathematical Education (pp. 158–181). Copenhagen: ICMI.
Arzarello, F., & Paola, D. (2007). Semiotic games: The role of the teacher. In J. H. Woo, H. C. Lew, K. S. Park, & D. Y. Seo (Eds.), Proceedings of the 31st conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 17–24). Seoul: PME.
Arzarello, F., & Robutti, O. (2001). From body motion to algebra through graphing. In H. Chick, K. Stacey, & J. Vincent (Eds.), Proceedings of the 12th ICMI study conference: The future of the teaching and learning of algebra (Vol. 1, pp. 33–40). Melbourne: ICMI.
Arzarello, F., & Sabena, C. (2014). Analytic-structural functions of gestures in mathematical argumentation processes. In L. D. Edwards, F. Ferarra, & D. Moore-Russo (Eds.), Emerging perspectives on gesture and embodiment (pp. 75–103). Greenwich: Information Age Publishing.
Arzarello, F., Paola, D., Robutti, O., & Sabena, C. (2009). Gestures as semiotic resources in the mathematics classroom. Educational Studies in Mathematics, 70(2), 97–109.
Arzarello, F., Ferrara, F., & Robutti, O. (2011). A tool for analysing multimodal behaviours in the mathematics classroom. In Proceedings of PME 35. Ankara: Middle East Technical University.
Bartolini Bussi, M. G., & Mariotti, M. A. (2008). Semiotic mediation in the mathematical classroom. Artifacts and signs after a Vygotskian perspective. In L. English (Ed.), Handbook of international research in mathematics education (2nd revised ed., pp. 746–783). Mahwah: Lawrence Erlbaum.
Duval, R. (2006). A cognitive analysis of problems of comprehension in a learning of mathematics. Educational Studies in Mathematics, 61, 103–131.
Edwards, L. (2009). Gestures and conceptual integration in mathematical talks. Educational Studies in Mathematics, 70(2), 127–141.
Ernest, P. (2006). A semiotic perspective of mathematical activity: The case of number. Educational Studies in Mathematics, 61, 67–101.
Freudenthal, H. (1991). Revisiting mathematics education: China lectures. Dordrecht: Kluwer.
Gallese, V., & Lakoff, G. (2005). The brain’s concepts: The role of the sensory-motor system in conceptual knowledge. Cognitive Neuropsychology, 21, 1–25.
Goldin-Meadow, S. (2003). Hearing gestures: How our hands help us think. Cambridge, MA: Harvard University Press.
Kendon, A. (2000). Language and gesture: Unity or duality? In D. McNeill (Ed.), Language and gesture: Window into thought and action (pp. 47–63). Cambridge: Cambridge University Press.
Kita, S. (2000). How representational gestures help speaking. In D. McNeill (Ed.), Language and gesture: Window into thought and action (pp. 162–185). Cambridge: Cambridge University Press.
Kress, G. (2004). Reading images: Multimodality, representation and new media. Information Design Journal, 12(2), 110–119.
Lakoff, G., & Nùñez, R. (2000). Where mathematics comes from: How the embodied mind brings mathematics into being. New York: Basic Books.
Leont’ev, A. N., & Lurija, A. R. (1973). Le idee psicologiche di Vygotskij. In L. S. Vygotskij (Ed.), Lo sviluppo psichico del bambino. Roma: Editori Riuniti.
McLeod, S. A. (2007). Nature nurture in psychology. http://www.simplypsychology.org/naturevsnurture.html. Accessed 21 Oct 2013.
McNeill, D. (1992). Hand and mind: What gestures reveal about thought. Chicago: University of Chicago Press.
McNeill, D. (2005). Gesture and thought. Chicago: University of Chicago Press.
McNeill, D., Quek, F., McCullough, K.-E., Duncan, S., Furuyama, N., Bryll, R., et al. (2001). Catchments, prosody and discourse. Gesture, 1(1), 9–33.
Montessori, M. (1934). Psicogeometria. Barcelona: Araluce. (English translation published by Montessori-Pierson Publishing Company.)
Nemirovsky, R. (2003). Three conjectures concerning the relationship between body activity and understanding mathematics. In N. A. Pateman, B. J. Dougherty, & J. T. Zillox (Eds.), Proceedings of PME 27 (Vol. 1, pp. 105–109). Honolulu: PME.
Overton, W. F. (2008). Embodiment from a relational perspective. In W. F. Overton, U. Muller, & J. L. Newman (Eds.), Developmental perspectives on embodiment and consciousness (pp. 1–18). New York: Lawrence Erlbaum.
Peirce, C. S. (1931–1958). Collected papers, Vol. I–VIII. (C. Hartshorne, P. Weiss, & A. Burks, Eds.). Cambridge, MA: Harvard University Press.
Piaget, J. (1952). The origins of intelligence in children. New York: International Universities Press.
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. 113–120). Melbourne: University of Melbourne, PME.
Radford, L., Bardini, C., & Sabena, C. (2007). Perceiving the general: The semiotic symphony of students’ algebraic activities. Journal for Research in Mathematics Education, 38(5), 507–530.
Sabena, C. (2007). Body and signs: A multimodal semiotic approach to teaching-learning processes in early calculus. Tesi di Dottorato, Università degli Studi di Torino.
Sabena, C. (2008). On the semiotics of gestures. In L. Radford, G. Schumbring, & F. Seeger (Eds.), Semiotics in mathematics education: Epistemology, history, classroom, and culture (pp. 19–38). Rotterdam: Sense.
Sabena, C., Robutti, O., Ferrara, F., & Arzarello, F. (2012). The development of a semiotic frame to analyse teaching and learning processes: Examples in pre- and post-algebraic contexts. In L. Coulange, J.-P. Drouhard, J.-L. Dorier, & A. Robert (Eds.), Recherches en Didactique des Mathématiques, Numéro spécial hors-série, Enseignement de l’algèbre élémentaire: bilan et perspectives (pp. 231–245). Grenoble: La Pensée Sauvage.
Schiralli, M., & Sinclair, N. (2003). A constructive response to ‘Where mathematics comes from’. Educational Studies in Mathematics, 52, 79–91.
Vygotsky, L. S. (1978). Mind in society. The development of higher psychological processes (M. Cole, V. John-Steiner, S. Scribner, & E. Souberman, Eds.). Cambridge, MA/London: Harvard University Press.
Wertsch, J. V., & Addison Stone, C. (1985). The concept of internalization in Vygotsky’s account on the genesis of higher mental functions. In J. V. Wertsch (Ed.), Culture, communication and cognition: Vygotskian perspectives. The concept of activity in Soviet psychology (pp. 162–179). Cambridge: Cambridge University Press.
Wilson, M. (2002). Six views of embodied cognition. Psychonomic Bulletin & Review, 9(4), 625–636.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Arzarello, F., Sabena, C. (2014). Introduction to the Approach of Action, Production, and Communication (APC). In: Bikner-Ahsbahs, A., Prediger, S. (eds) Networking of Theories as a Research Practice in Mathematics Education. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-05389-9_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-05389-9_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-05388-2
Online ISBN: 978-3-319-05389-9
eBook Packages: Humanities, Social Sciences and LawEducation (R0)