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Article published In:
Gesture
Vol. 17:1 (2018) ► pp.128–157

The role of gestural polysigns and gestural sequences in teaching mathematical concepts

The case of halving

| University of Johannesburg
| University of Cape Town
| University of Grenoble-Alpes
| University of Cape Town

In this paper, we examine the conceptual pedagogical value of representational gestures in the context of teaching halving to first graders. We use the concept of the ‘polysign’ as an analytical tool and introduce the notion of a ‘mathematics gesture sequence’ to assess the conceptual role gestures play in explicating mathematical concepts. In our study of four teachers each teaching a lesson on halving, they produced representational polysign gestures that provided multiple layers of information, and chained these gestures in mathematical gestural sequences to spatially represent the operation of halving. Their use of gestures and their ability to use gestures accurately to convey mathematical concepts varied. During the lesson, learners, whose teachers used few representational gestures or used gestures that were conceptually incongruent with the mathematical concept, expressed more confusion than learners whose teachers used conceptually appropriate gestures. While confusion can be a productive part of the learning process, our analysis shows that producing conceptually appropriate gestures may be important in mediating concepts and the transition from concrete and personal symbolic processes to institutional mathematical signs.

Keywords: gesture, learning, polysign, gesture sequence, mathematics
Article outline
  • Introduction
  • The role of gesture in mathematics classes
    • The polysign gesture: An analytical tool
  • Methodology
  • Teachers’ overall patterns of gesture use
  • Representing the mathematical concept of halving in gesture
    • The halving operation represented by polysigns being chained together
    • From doubling to halving, using a MGS
    • Halving using ambiguous polysign gestures
  • Children’s responses to instructional input
  • Conclusion
  • Acknowledgements
  • References
Published online: 19 October 2018
DOI logo
https://doi.org/10.1075/gest.00013.ove
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Nathan, Mitchell J., Amelia Yeo, Rebecca Boncoddo, Autumn B. Hostetter & Martha W. Alibali
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