Teachers regularly use gesture as part of multimodal instruction to both break and make common ground. Teachers break common ground when they introduce new ideas and new mathematical practices. Teachers make common ground by connecting new ideas to students’ prior knowledge and to current disciplinary practices. Our findings show the importance of linking gestures, a highly regulated aspect of pedagogical communication, which is used to foster connection building, while reducing the cognitive demands for learners. A focus on the function of pedagogical gesture for managing common ground provides an account of classroom learning that resolves the Learning Paradox by examining the establishment, maintenance and disruption of common ground.
Article outline
Common ground and learning
Gesture and common ground
Past research: Gesture and common ground in conversational contexts
Past research: Gesture and common ground in the classroom
The tension between making and breaking common ground
Case 1.Breaking and making common ground when introducing algebraic expressions
Case 2.Breaking and making common ground when introducing polynomial multiplication
Alibali, Martha W., & Nathan, Mitchell J.2007. “Teachers’ gestures as a means of scaffolding students’ understanding: Evidence from an early algebra lesson.” In Video Research in the Learning Sciences, Ricki Goldman, Roy Pea, Brigid Barron, & Sharon J. Derry (eds) 349–365. Mahwah, NJ: Erlbaum.
Alibali, Martha W., Nathan, Mitchell J., & Fujimori, Yuka2011. “Gestures in the mathematics classroom: What's the point?” In Developmental Cognitive Science Goes To School, Nancy L. Stein & Stephen W. Raudenbush (eds) 219–234. New York: Routledge, Taylor and Francis.
Alibali, Martha W., Nathan, Mitchell J., Church, R. Breckinridge, Wolfgram, Matthew S., Kim, Suyeon, & Knuth, Eric J.2013. “Teachers’ gestures and speech in mathematics lessons: forging common ground by resolving trouble spots.” ZDM: The International Journal on Mathematics Education 45(3): 425–440.
Alibali, Martha W., Nathan, Mitchell J., Wolfgram, Matthew S., Church, R. Breckinridge, Jacobs, Steven A., Johnson Martinez, Chelsea, & Knuth, Eric J.2014. “How teachers link ideas in mathematics instruction using speech and gesture: A corpus analysis.” Cognition and Instruction 32 (1): 65–100.
Bereiter, Carl1985. “Toward a solution of the learning paradox.” Review of Educational Research 55 (2): 201–226.
Bem, Jolanta, Jacobs, Steven A., Goldin-Meadow, Susan, Levine, Susan C., Alibali, Martha W. & Nathan, Mitchell2012. “Gesture’s benefit for instruction: Attention coordination or embodied cognition?” Poster presented at the annual meeting of the Jean Piaget Society, Toronto, Canada.
Caglayan, Günhan2013. “Prospective mathematics teachers’ sense making of polynomial multiplication and factorization modeled with algebra tiles.” Journal of Mathematics Teacher Education 16 (5): 349–378.
Clark, Herbert H.1996. Using Language. Cambridge, UK: Cambridge University Press.
Clark, Herbert H., & Marshall, C. R.1981. “Definite reference and mutual knowledge.” In Elements of Discourse Understanding, Aravind K. Joshi, Bonnie Webber, & Ivan Sag (eds) 10–63. Cambridge: Cambridge University Press.
Clark, Herbert H. & Schaefer, E. F.1989. “Contributing to discourse.” Cognitive Science 13: 259–294.
Cobb, Paul1989. “Experiential, cognitive, and anthropological perspectives in mathematics education.” For the Learning of Mathematics 9 (2): 32–42.
Cobb, Paul1995. “Cultural tools and mathematical learning: A case study.” Journal for Research in Mathematics Education 26: 362–385.
Cook, Susan W., Duffy, Ryan G., & Fenn, Kimberly M.2013. “Consolidation and transfer of learning after observing hand gesture.” Child Development 84 (6): 1863–1871.
Gallese, Vittorio2003. “The manifold nature of interpersonal relations: The quest for a common mechanism.” Philosophical Transactions of the Royal Society B: Biological Sciences 358: 517–528.
Goldin-Meadow, Susan, Kim, San, & Singer, Melissa1999. “What the teachers’ hands tell the students’ minds about math.” Journal of Educational Psychology 91: 720–730.
Holler, Judith, & Stevens, Rachel2007. “The effect of common ground on how speakers use gesture and speech to represent size information.” Journal of Language and Social Psychology 26 (1): 4–27.
Holler, Judith, & Wilkin, Katie2009. “Communicating common ground: How mutually shared knowledge influences speech and gesture in a narrative task.” Language and Cognitive Processes 24 (2): 267–289.
Holler, Judith, Tutton, Mark, & Wilkin, Katie2011. “Co-speech gestures in the process of meaning coordination.” Proceedings of the 2nd Gesture and Speech in Interaction Conference, Bielefeld, Germany.
Kelly, Spencer D., Byrne, Kelly, & Holler, Judith2011. “Raising the ante of communication: Evidence for enhanced gesture use in high stakes situations.” Information 2: 579–593.
Kendon, Adam2004. Gesture: Visible Action as Utterance. Cambridge University Press.
Koschmann, Timothy, LeBaron, Curtis, Goodwin, Charles, & Feltovich, Paul2001. “Dissecting common ground: Examining an instance of reference repair.” In Proceedings of the 23rd Annual Conference of the Cognitive Science Society, 516–521. Erlbaum.
Lakoff, George, & Núñez, Rafael2001. Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being. New York: Basic Books.
Lockwood, Elise, Yeo, Amelia, Crooks, Noelle M., Nathan, Mitchell J., & Alibali, Martha W.2014. “Teaching about confidence intervals: How instructors connect ideas using speech and gesture.” In Learning and Becoming in Practice: Proceedings of the Eleventh International Conference of the Learning Sciences, William Penuel, Susan A. Jurow, & Kevin O'Connor (eds). Boulder, CO: University of Colorado.
McNeill, David1985. “So you think gestures are nonverbal?”Psychological Review 92: 350–371.
McNeill, David1992. Hand and Mind: What Gestures Reveal About Thought. University of Chicago Press.
McNeill, David, & Duncan, Susan2000. “Growth points in thinking-for-speaking.” In Language and gesture, David McNeill (ed) 141–161. Cambridge, UK: Cambridge University Press.
Mehan, Hugh1979. Learning Lessons: Social Organization in the Classroom. Cambridge, MA: Harvard University Press.
Nathan, Mitchell J., & Alibali, Martha W.2011. “How gesture use enables intersubjectivity in the classroom.” In Integrating Gestures: The Interdisciplinary Nature of GestureGale Stam & Mika Ishino (eds) 257–266. Amsterdam: John Benjamins.
Nathan, Mitchell J., & Kim, Suyeon2009. “Regulation of teacher elicitations in the mathematics classroom.” Cognition and Instruction 27 (2): 91–120.
Nathan, Mitchell J., Eilam, Billie, & Kim, Sueyon2007. “To disagree, we must also agree: How intersubjectivity structures and perpetuates discourse in a mathematics classroom.” Journal of the Learning Sciences 16 (4): 525–565.
Pascual-Leone, Juan1976. “A view of cognition from a formalist's perspective.” In The developing individual in a changing world: Vol. 1. Historical and cultural issues, K. F. Riegel & J. A. Meacham (eds). The Hague, The Netherlands: Mouton.
Roth, Wolff-Michael2001. “Gestures: Their role in teaching and learning.” Review of Educational Research 71: 365–392.
Schegloff, Emanuel A.1992. “Repair after next turn: The last structurally provided defense of intersubjectivity in conversation.” American Journal of Sociology 97: 1295–1345.
Srisurichan, Rachaya, Boncoddo, Rebecca, Ledesma, Iasmine, Pier, Elizabeth, Nathan, Mitchell J., & Alibali, Martha W.2012. “Addressee gesture as a means to foster common ground in the classroom.” Paper presented at the Conference of the International Society for Gesture Studies, Lund, Sweden.
Steffe, Leslie P., & Thompson, Patrick W.2000. “Interaction or intersubjectivity? A reply to Lerman.” Journal for Research in Mathematics Education 31: 191–209.
Vygotsky, Lev S.1986. Thought and Language. (Alex Kozulin, Translator). Cambridge, MA: MIT Press.
Cited by (12)
Cited by 12 other publications
Cuffari, Elena Clare
2024. Gesture and Intersubjectivity. In The Cambridge Handbook of Gesture Studies, ► pp. 599 ff.
Ferré, Gaëlle
2022. Gesture profile of fluent and non-fluent people with aphasia. Corela :20-1
Gerofsky, Susan & Kim T Zebehazy
2022. Enhancing mathematical noticing of graphs through movement, voice, and metaphor: An intervention with two students with visual impairment. British Journal of Visual Impairment 40:2 ► pp. 209 ff.
2022. Gestures in Mathematics Thinking and Learning. In Handbook of Cognitive Mathematics, ► pp. 685 ff.
Walkington, Candace, Mitchell J. Nathan, Min Wang & Kelsey Schenck
2022. The Effect of Cognitive Relevance of Directed Actions on Mathematical Reasoning. Cognitive Science 46:9
Koren, Leon & Tomislav Stipancic
2021. Multimodal Emotion Analysis Based on Acoustic and Linguistic Features of the Voice. In Social Computing and Social Media: Experience Design and Social Network Analysis [Lecture Notes in Computer Science, 12774], ► pp. 301 ff.
Nathan, Mitchell J. & Martha W. Alibali
2021. An Embodied Theory of Transfer of Mathematical Learning. In Transfer of Learning [Research in Mathematics Education, ], ► pp. 27 ff.
Stipancic, Tomislav, Leon Koren, Dinko Korade & Duska Rosenberg
2021. PLEA. Journal of Pacific Rim Psychology 15
Abrahamson, Dor, Mitchell J. Nathan, Caro Williams-Pierce, Candace Walkington, Erin R. Ottmar, Hortensia Soto & Martha W. Alibali
2020. The Future of Embodied Design for Mathematics Teaching and Learning. Frontiers in Education 5
Alibali, Martha W., Mitchell J. Nathan, Rebecca Boncoddo & Elizabeth Pier
2019. Managing common ground in the classroom: teachers use gestures to support students’ contributions to classroom discourse. ZDM 51:2 ► pp. 347 ff.
Nathan, Mitchell J., Amelia Yeo, Rebecca Boncoddo, Autumn B. Hostetter & Martha W. Alibali
This list is based on CrossRef data as of 15 october 2024. Please note that it may not be complete. Sources presented here have been supplied by the respective publishers.
Any errors therein should be reported to them.