Skip to main content

Observing the Use of Gestures in Young Children’s Geometric Thinking

  • Chapter
  • First Online:
Contemporary Research and Perspectives on Early Childhood Mathematics Education

Part of the book series: ICME-13 Monographs ((ICME13Mo))

Abstract

This chapter addresses children’s geometry thinking and learning in early childhood with a focus on the use of gestures. The chapter begins with the theoretical frameworks which underlie this work and some background information about geometry learning and gestures. The next parts of the chapter aim to give insight into the role of gestures in young children’s geometric thinking in different contexts. Specifically, three case studies are discussed which investigated different aspects of geometry understanding: two-dimensional shapes, composition and transformations of two-dimensional shapes and spatial concepts. Finally, a number of concluding remarks are discussed about the multiple uses and contributions of gestures in association with other semiotic resources in the evolution and communication of early understanding of shapes and space.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

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 

  • 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. (2006). Semiosis as a multimodal process. Revista Latinoamericana de Investigacion en Mathematica Educativa, Numero especial, 267–299.

    Google Scholar 

  • Brousseau, G. (1983): Etude de questions d’enseignement, un exemple: la géométrie. Séminaire de didactique des mathématiques et de l’informatique, (pp. 183–226). Grenoble: IMAG.

    Google Scholar 

  • Casey, B. M., Andrews, N., Schindler, H., Kersh, J. E., Samper, A., & Copley, J. (2008). The development of spatial skills through interventions involving block building activities. Cognition and Instruction, 26, 269–309.

    Article  Google Scholar 

  • Clements, D. H. (2004). Geometric and spatial thinking in early childhood education. In D. H. Clements & J. Sarama (Eds.), Engaging young children in mathematics: Standards for early childhood mathematics education. Mahwah, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • Dindyal, J. (2015). Geometry in the early years: A commentary. ZDM Mathematics Education, 47(3), 519–529.

    Article  Google Scholar 

  • Duval, R. (1995). Geometrical pictures: Kinds of representation and specific processings. In R. Sutherland & J. Mason (Eds.), Exploiting mental imagery with computers in mathematics education (pp. 142–157). Germany: Springer.

    Chapter  Google Scholar 

  • Duval, R. (1998). Geometry from a cognitive point of view. In C. Mammana & V. Villani (Eds.), Perspectives on the teaching of geometry for the 21st century (pp. 37–51). Dordrecht: Kluwer Academic.

    Google Scholar 

  • Duval, R. (2014). The first crucial point in geometry learning: Visualization. Mediterranean Journal for Research in Mathematics Education, 13, 1–28.

    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 

  • Elia, I., & Evangelou, K. (2014). Gesture in a kindergarten mathematics classroom. European Early Childhood Education Research Journal, 22, 45–66.

    Article  Google Scholar 

  • Elia, I., Evangelou, K., Hadjittoouli, K., & Van den Heuvel-Panhuizen M. (2014). A kindergartner’s use of gestures when solving a geometrical problem in different spaces of constructed representation. Revista Latinoamericana de Investigacion en Matematica Educativa, 17(4–I), 199–220.

    Google Scholar 

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

    Article  Google Scholar 

  • Gallese, V., & Lakoff, G. (2005). The brain’s concepts: The role of the sensory-motor system in conceptual knowledge. Cognitive Neuropsychology, 21, 1–25.

    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 

  • 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 

  • Henschen, E. (2016, July). Mathematical content of play activities in kindergarten, exemplified on blockplay activities. Poster presented at the 13th International Congress on Mathematical Education, Hamburg, Germany.

    Google Scholar 

  • Hoffer, A. (1981). Geometry is more than proof. Mathematics Teacher, 74, 11–18.

    Google Scholar 

  • Karsli, E. (2016, July). Young children’s embodied mathematical practices in a pre-k classroom. Paper presented at the 13th International Congress on Mathematical Education, Hamburg, Germany.

    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 

  • Lavergne, S., & Maschietto, M. (2015). Articulation of spatial and geometrical knowledge in problem solving with technology at primary school. ZDM Mathematics Education, 47, 435–449.

    Article  Google Scholar 

  • Levenson, E., Tirosh, D., & Tsamir, P. (2011). Preschool geometry. Rotterdam: Sense Publishers.

    Book  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 

  • National Council of Teachers of Mathematics (NCTM) (2000). Principles and standards for school mathematics. Reston, VA: Author.

    Google Scholar 

  • Newcombe, N. (2010). Picture this: Increasing math and science learning by improving spatial thinking. American Educator, 34(2), 29–35.

    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 

  • Peirce, C. S. (1931/1958). Collected papers of C. S. Peirce. In C. Hartshorne, P. Weiss, & A. Burks (Eds.), (Vols. 1–8). Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Radford, L. (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.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Radford, L. (2008). Iconicity and contraction: A semiotic investigation of forms of algebraic generalizations of patterns in different contexts. ZDM—The International Journal on Mathematics Education, 40(1), 83–96.

    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., 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 (PME) (Vol. 4, pp. 113–120). Melbourne: PME.

    Google Scholar 

  • Radford, L., & Sabena, C. (2015). The question of method in a Vygotskian semiotic approach. In A. Bikner-Ahsbahs, C. Knipping, & N. Presmeg (Eds.), Approaches to qualitative research in mathematics education (pp. 157–182). Dordrecht: Springer.

    Google Scholar 

  • Sabena, C. (2007). Body and signs: A multimodal semiotic approach to teaching-learning processes in early calculus. Ph.D. Dissertation. Universita Degli Studi Di Torino.

    Google Scholar 

  • Sabena, C. (2008). On the semiotics of gestures. In L. Radford, G. Schubring, & F. Seeger (Eds.), Semiotics in mathematics education: Epistemology, history, classroom and culture (pp. 19–38). Rotterdam: Sense.

    Google Scholar 

  • Sabena, C. (2017). Early child spatial development: a teaching experiment with programmable robots. In G. Aldon, F. Hitt, L. Bazzini and U. Gellert (Eds.), Mathematics and Technology (pp. 13–30). Springer International Publishing.

    Google Scholar 

  • Sabena, C., Radford, L., & Bardini. C. (2005). Synchronizing gestures, words and actions in pattern generalizations. In H. L. Chick and J. L. Vincent (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (PME) (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 

  • Sinclair, N., & Bruce, C. (2015). New opportunities in geometry education at the primary school. ZDM Mathematics Education, 47(3), 319–329.

    Article  Google Scholar 

  • Thom, J. S. (2018). (Re)(con)figuring space: Three children’s geometric reasonings. In I. Elia, J. Mulligan, A. Anderson, A. Baccaglini-Frank and C. Benz (Eds.), Contemporary research and perspectives on early childhood mathematics education (this volume).

    Google Scholar 

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

    Google Scholar 

  • Van Hiele, P. M. (1985). The child’s thought and geometry. In D. Geddes & R. Tischler (Eds.), English translation of selected writings of Dina van Hiele-Geldof and Pierre M. van Hiele (pp. 243–252). Brooklyn: Brooklyn College, School of Education (Original work published 1959).

    Google Scholar 

  • Verdine, B. N., Golinkoff, R. M., Hirsh-Pasek, K., Newcombe, N. S., Filipowicz, A. T., & Chang, A. (2014). Deconstructing building blocks: Preschoolers’ spatial assembly performance relates to early mathematical skills. Child Development, 85(3), 1062–1076.

    Article  Google Scholar 

  • 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 

  • Wai, J., Lubinski, D., & Benbow, C. P. (2009). Spatial ability for STEM domains: Aligning over 50 years of cumulative psychological knowledge solidifies its importance. Journal of Educational Psychology, 101(4), 817–835.

    Article  Google Scholar 

  • Watanabe, S. (2016, July). Research on young children’s spatial recognition ability. Paper presented at the 13th International Congress on Mathematical Education, Hamburg, Germany.

    Google Scholar 

  • Yagi, S. (2016, July). An exploration of first grade students’ engagement in mathematical processes during whole group discussions. Poster presented at the 13th International Congress on Mathematical Education, Hamburg, Germany.

    Google Scholar 

Download references

Acknowledgements

A part of the work reported in this chapter was carried out in the project “The contribution of gestures in geometrical thinking development in early childhood” (2014–today) that is supported by a Program Grant from the “A.G. Leventis Foundation”.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Iliada Elia .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Elia, I. (2018). Observing the Use of Gestures in Young Children’s Geometric Thinking. In: Elia, I., Mulligan, J., Anderson, A., Baccaglini-Frank, A., Benz, C. (eds) Contemporary Research and Perspectives on Early Childhood Mathematics Education. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-73432-3_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-73432-3_9

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73431-6

  • Online ISBN: 978-3-319-73432-3

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics