Skip to main content
Log in

The role of gestures in making connections between space and shape aspects and their verbal representations in the early years: findings from a case study

  • Original Article
  • Published:
Mathematics Education Research Journal Aims and scope Submit manuscript

Abstract

In recent educational research, it is well acknowledged that gestures are an important source of developing abstract thinking in early childhood and can serve as an additional window to the mind of the developing child. The present paper reports on a case study which explores the function of gestures in a geometrical activity at kindergarten level. In the study, the spontaneous gestures of the child are investigated, as well as the influence of the teacher's gestures on the child's gestures. In the first part of the activity, the child under study transforms a spatial array of blocks she has constructed by herself into a verbal description, so that another person, i.e., the teacher, who cannot see what the child has built, makes the same construction. Next, the teacher builds a new construction and describes it so that the child can build it. Hereafter, it is again the turn of the child to build another construction and describe it to the teacher. The child was found to spontaneously use iconic and deictic gestures throughout the whole activity. These gestures, and primarily the iconic ones, helped her make apparent different space and shape aspects of the constructions. Along with her speech, gestures acted as semiotic means of objectification to successfully accomplish the task. The teacher's gestures were found to influence the child's gestures when describing aspects of shapes and spatial relationships between shapes. This influence results in either mimicking or extending the teacher's gestures. These findings are discussed and implications for further research are drawn.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

References

  • Alibali, M. (2005). Gesture in spatial cognition: expressing, communicating, and thinking about spatial information. Spatial Cognition and Computation, 5(4), 307–331.

    Article  Google Scholar 

  • Alibali, M. W., Kita, S., & Young, A. (2000). Gesture and the process of speech production: we think, therefore we gesture. Language and Cognitive Processes, 15, 593–613.

    Article  Google Scholar 

  • Allen, G. L. (2003). Gestures accompanying verbal route directions: do they point to a new avenue for examining spatial representations? Spatial Cognition and Computation, 3, 259–268.

    Article  Google Scholar 

  • Arzarello, F., & Edwards, L. (2005). Gesture and the construction of mathematical meaning. In H. Chick & J. Vincent (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 123–127). Melbourne: Melbourne University.

    Google Scholar 

  • Arzarello, F., Paola, D., Robutti, O., & Sabena, C. (2009). Gestures as semiotic resources in the mathematics classroom. Educational Studies in Mathematics, 70, 97–109.

    Article  Google Scholar 

  • Bowerman, M. (1996). Learning how to structure space for language: a crosslinguistic perspective. In P. Bloom, M. A. Peterson, L. Nadel, & M. F. Garrett (Eds.), Language and space (pp. 385–436). Cambridge: MIT Press.

    Google Scholar 

  • Chartrand, T. L., & Bargh, J. A. (1999). The chameleon effect: the perception–behavior link and social interaction. Journal of Personality & Social Psychology, 76, 893–910.

    Article  Google Scholar 

  • Chu, M., & Kita, S. (2011). The nature of gestures' beneficial role in spatial problem solving. Journal of Experimental Psychology: General, 140(1), 102–116.

    Article  Google Scholar 

  • Cook, S. W., & Goldin-Meadow, S. (2006). The role of gesture in learning: do children use their hands to change their minds? Journal of Cognition and Development, 7(2), 211–232.

    Article  Google Scholar 

  • Cook, S. W., Mitchell, Z., & Goldin-Meadow, S. (2008). Gesturing makes learning last. Cognition, 106, 1047–1058.

    Article  Google Scholar 

  • Cook, S. W., Yip, T., & Goldin-Meadow, S. (2010). Gesture makes memories that last. Journal of Memory and Language, 63, 465–475.

    Article  Google Scholar 

  • Duval, R. (1995). Sémiosis et pensée humaine. Bern: Peter Lang.

    Google Scholar 

  • Duval, R. (2006). A cognitive analysis of problems of comprehension in learning of mathematics. Educational Studies in Mathematics, 61, 103–131.

    Article  Google Scholar 

  • Egsgard, J. C. (1970). Some ideas in Geometry that can be taught from K-6. Educational Studies in Mathematics, 2(4), 478–495.

    Article  Google Scholar 

  • Ehrlich, S., Levine, S., & Goldin-Meadow, S. (2006). The importance of gesture in children's spatial reasoning. Developmental Psychology, 42, 1259–1268.

    Article  Google Scholar 

  • Elliot, J., & Smith, I. (1983). An international directory of spatial tests. Windsor: NFER-Nelson.

    Google Scholar 

  • Emmorey, K., Tversky, B., & Taylor, H. A. (2000). Using space to describe space: perspective in speech, sign, and gesture. Spatial Cognition and Computation, 2, 157–180.

    Article  Google Scholar 

  • Gagatsis, A., & Patronis, T. (1990). Using geometric models in a process of reflective thinking in learning and teaching mathematics. Educational Studies in Mathematics, 21(1), 29–54.

    Article  Google Scholar 

  • Gallese, V., & Lakoff, G. (2005). The brain's concepts: the role of the sensory–motor system in reason and language. Cognitive Neuropsychology, 22, 455–479.

    Article  Google Scholar 

  • Garber, P., Alibali, M. W., & Goldin-Meadow, S. (1998). Knowledge conveyed in gesture is not tied to the hands. Child Development, 69, 75–84.

    Article  Google Scholar 

  • Göksun, T., Hirsh-Paseka, K., & Golinkoff, R. M. (2010). How do preschoolers express cause in gesture and speech? Cognitive Development, 25, 56–68.

    Article  Google Scholar 

  • Goldin-Meadow, S. (2000). Beyond words: the importance of gesture to researchers and learners. Child Development, 71(1), 231–239.

    Article  Google Scholar 

  • Goldin-Meadow, S. (2003). Hearing gestures: how our hands help us think. Chicago: Chicago University Press.

    Google Scholar 

  • Gopnik, A., & Meltzoff, A. N. (1986). Words, plans, things, and locations: interactions between semantic and cognitive development in the one-word stage. In S. A. Kuzkaj & M. D. Barrett (Eds.), The development of word meaning: progress in cognitive development research (pp. 199–223). New York: Springer.

    Chapter  Google Scholar 

  • Graham, J. A., & Argyle, M. (1975). A cross-cultural study of the communication of extra-verbal meaning by gestures. International Journal of Psychology, 10, 57–67.

    Article  Google Scholar 

  • Gullberg, M. (1999). Gestures in spatial descriptions. Working Papers, 47, 87–97.

    Google Scholar 

  • Haith, M. M., & Benson, J. B. (1998). Infant cognition. In W. Damon, D. Kuhn, & R. S. Siegler (Eds.), Handbook of child psychology (5th edition), Cognition, perception and language (Vol. 2, pp. 199–254). New York: Wiley.

    Google Scholar 

  • Hannibal, M. Z. (1999). Young children's developing understanding of geometric shapes. Teaching Children Mathematics, 5(6), 353–357.

    Google Scholar 

  • Kellman, P. J., & Banks, M. S. (1998). Infant visual perception. In W. Damon, D. Kuhn, & R. S. Siegler (Eds.), Handbook of child psychology (5th edition), Cognition, perception and language (Vol. 2, pp. 103–146). New York: Wiley.

    Google Scholar 

  • Kendon, A. (1988). How gestures can become like words. In F. Poyatos (Ed.), Cross-cultural perspectives in non-verbal communication (pp. 131–141). Toronto: Hogrefe.

    Google Scholar 

  • Kim, M., Roth, W.-M., & Thom, J. (2010). Children's gestures and the embodied knowledge of geometry. International Journal of Science and Mathematics Education, 9, 207–238.

    Article  Google Scholar 

  • Kita, S., & Davies, T. S. (2009). Competing conceptual representations trigger co-speech representational gestures. Language and Cognitive Processes, 24, 761–775.

    Article  Google Scholar 

  • Kita, S., & Özyürek, A. (2003). What does cross-linguistic variation in semantic coordination of speech and gesture reveal? Evidence for an interface representation of spatial thinking and speaking. Journal of Memory and Language, 48, 16–32.

    Article  Google Scholar 

  • Krauss, R. M. (1998). Why do we gesture when we speak? Current Directions in Psychological Science, 7, 54–60.

    Article  Google Scholar 

  • Krauss, R. M., Chen, Y., & Gottesman, R. (2000). Lexical gestures and lexical access: a process model. In D. McNeill (Ed.), Language and gesture (pp. 261–283). Cambridge: Cambridge University Press.

    Chapter  Google Scholar 

  • Lavelli, M., Pantoja, A. P. F., Hsu, H., Messinger, D., & Fogel, A. (2005). Using microgenetic designs to study change processes. In D. M. Teti (Ed.), Handbook of research methods in developmental science (pp. 40–65). Malden: Blackwell Publishing.

    Chapter  Google Scholar 

  • Levine, S., Ratliff, K., Huttenlocher, J., & Cannon, J. (2012). Early puzzle play: a predictor of preschoolers' spatial transformation skill. Developmental Psychology, 48(2), 530–542.

    Article  Google Scholar 

  • Maschietto, M., & Bartolini Bussi, M. (2009). Working with artefacts: gestures, drawings and speech in the construction of the mathematical meaning of the visual pyramid. Educational Studies in Mathematics, 70, 143–157.

    Article  Google Scholar 

  • McGregor, K., Rohlfing, K., Bean, A., & Marschner, E. (2009). Gesture as a support for word learning: the case of under. Journal of Child Language, 36, 807–828.

    Article  Google Scholar 

  • McNeill, D. (1992). Hand and mind: what gestures reveal about thought. Chicago: The University of Chicago Press.

    Google Scholar 

  • McNeill, D. (2005). Gesture and thought. Chicago: The University of Chicago Press.

    Book  Google Scholar 

  • Meltzoff, A. N., & Moore, M. K. (1977). Imitation of facial and manual gestures by human neonates. Science, 198, 75–78.

    Article  Google Scholar 

  • Nemirovsky, R., & Ferrara, F. (2009). Mathematical imagination and embodied cognition. Educational Studies in Mathematics, 70, 159–174.

    Article  Google Scholar 

  • Newcombe, N. (1989). The development of spatial perspective taking. In H. W. Reese (Ed.), Advances in child development and behavior (Vol. 22, pp. 203–247). New York: Academic Press.

    Google Scholar 

  • Newcombe, N., & Frick, A. (2010). Early education for spatial intelligence: why, what, and how. Mind, Brain and Education, 4(3), 102–111.

    Article  Google Scholar 

  • Newcombe, N., & Sluzenski, J. (2004). Starting points and change in early spatial development. In G. L. Allen (Ed.), Human spatial memory: remembering where (pp. 25–40). Mahwah: Lawrence Erlbaum Associates.

    Google Scholar 

  • Nunez, R., Edwards, L., & Matos, J. F. (1999). Embodied cognition as grounding for situatedness and context in mathematics education. Educational Studies in Mathematics, 39, 45–65.

    Article  Google Scholar 

  • Parrill, F., & Sweetser, E. (2004). What we mean by meaning. Gesture, 4, 197–219.

    Article  Google Scholar 

  • Ping, R., & Goldin-Meadow, S. (2008). Hands in the air: using ungrounded iconic gestures to teach children conservation of quantity. Developmental Psychology, 44(5), 1277–1287.

    Article  Google Scholar 

  • Radford, L. (2009). Why do gestures matter? Sensuous cognition and the palpability of mathematical meanings. Educational Studies in Mathematics, 70, 111–126.

    Article  Google Scholar 

  • Radford, L. (2011). Grade 2 students' non-symbolic algebraic thinking. In J. Cai & E. Knuth (Eds.), Early algebraization, advances in mathematics education (pp. 303–322). Berlin: Springer.

    Chapter  Google Scholar 

  • Radford, L., Bardini, C., & Sabena, C. (2007). Perceiving the general: the multisemiotic dimension of students' algebraic activity. Journal for Research in Mathematics Education, 38, 507–530.

    Google Scholar 

  • Radford, L., Edwards, L., & Arzarello, F. (2009). Introduction: beyond words. Educational Studies in Mathematics, 70, 91–95.

    Article  Google Scholar 

  • Roth, M.-W. (2001). Gestures: their role in teaching and learning. Review of Educational Research, 71(3), 365–392.

    Article  Google Scholar 

  • Sabena, C., Radford, L., & Bardini, C. (2005). Synchronizing gestures, words and actions in pattern generalizations. 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). Melbourne: PME.

    Google Scholar 

  • Sarama, J., & Clements, D. H. (2009). Early childhood mathematics education research. Learning trajectories for young children. New York: Routledge.

    Google Scholar 

  • Siegler, R. S. (1995). How does change occur: a microgenetic study of number conservation. Cognitive Psychology, 25, 225–273.

    Article  Google Scholar 

  • Singer, M. A., & Goldin-Meadow, S. (2005). Children learn when their teacher's gestures and speech differ. Psychological Science, 16, 85–89.

    Article  Google Scholar 

  • Sowa, T., & Wachsmuth, I. (2005). A model for the representation and processing of shape in coverbal iconic gestures. In K. Opwis & I. Penner (Eds.), Proceedings of the KogWis05 (pp. 183–188). Basel: Schwabe.

    Google Scholar 

  • Valenzeno, L., Alibali, M. A., & Klatzky, R. (2003). Teachers' gestures facilitate students' learning: a lesson in symmetry. Contemporary Educational Psychology, 28, 187–204.

    Article  Google Scholar 

  • Van den Heuvel-Panhuizen, M., & Buys, K. (Eds.). (2008). Young children learn measurement and geometry. Rotterdam, the Netherlands: Sense Publishers.

  • Wagner, S., Nusbaum, H., & Goldin-Meadow, S. (2004). Probing the mental representation of gesture: is handwaving spatial? Journal of Memory and Language, 50, 395–407.

    Article  Google Scholar 

  • Wang, R. F., & Spelke, E. S. (2002). Human spatial representation: insights from animals. Trends in Cognitive Sciences, 6, 376–382.

    Article  Google Scholar 

  • Yakimanskaya, I. S. (1980). The development of spatial thinking in schoolchildren. Moscow: Pedagogika. (Translated into English 1991). Reston: NCTM.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Iliada Elia.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Elia, I., Gagatsis, A. & van den Heuvel-Panhuizen, M. The role of gestures in making connections between space and shape aspects and their verbal representations in the early years: findings from a case study. Math Ed Res J 26, 735–761 (2014). https://doi.org/10.1007/s13394-013-0104-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13394-013-0104-5

Keywords

Navigation