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Activities Involving Dynamic Representations of Functions with Parallel Axes: A Study of Different Utilization Schemes

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Technology in Mathematics Teaching

Part of the book series: Mathematics Education in the Digital Era ((MEDE,volume 13))

Abstract

The concept of function has a central role both at school and in everyday situations. Several studies have revealed that it is hard for students to think of functions and graphs in terms of co-variation, which can contribute to their struggles with Calculus. The emergence of available technologies has fostered new teaching and learning approaches to overcome students’ difficulties and some of them concern the use of dynamic algebra and geometry software to experience the dependence relation and to explore functions as co-variation. In this chapter, I present a particular representation of functions with parallel axes, made possible by the dynamic environment, and the analysis of some protocols in which we can see students’ continuous effort in describing it. The analysis was carried out to explore the potential of the proposed dynamic representation of functions that incorporates the semantic domain of space, time and movement.

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Acknowledgements

GNSAGA of INdAM has partially supported this study.

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Authors and Affiliations

  1. Department of Mathematics, University of Florence, Florence, Italy

    Giulia Lisarelli

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  1. Giulia Lisarelli
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Correspondence to Giulia Lisarelli .

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Editors and Affiliations

  1. S2HEP, École Normale Supérieure de Lyon, Lyon, France

    Gilles Aldon

  2. S2HEP, Université Claude Bernard Lyon 1, Villeurbanne, France

    Jana Trgalová

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Lisarelli, G. (2019). Activities Involving Dynamic Representations of Functions with Parallel Axes: A Study of Different Utilization Schemes. In: Aldon, G., Trgalová, J. (eds) Technology in Mathematics Teaching. Mathematics Education in the Digital Era, vol 13. Springer, Cham. https://doi.org/10.1007/978-3-030-19741-4_12

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  • DOI: https://doi.org/10.1007/978-3-030-19741-4_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-19740-7

  • Online ISBN: 978-3-030-19741-4

  • eBook Packages: EducationEducation (R0)

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