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The Potential Synergy of Digital and Manipulative Artefacts

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Abstract

On the basis of the hypothesis that emerged from recent research studies, this article discusses the potential synergy between the combined use of both digital and manipulative artefacts. The discussion is supported by examples drawn from a collection of data gathered in the frame of two teaching experiments, carried out at different school levels, with the objective of constructing mathematical meanings of geometric transformations. The examples are analyzed through a specific lens aimed at identifying key elements supporting and refining the idea of synergy, with the aim of more precisely characterizing it.

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References

  • Bartolini Bussi, M., & Mariotti, M. (2008). Semiotic mediation in the mathematics classroom: Artifacts and signs after a Vygotskian perspective. In L. English (Ed.), Handbook of international research in mathematics education (2nd ed., pp. 746–783). New York, NY: Routledge.

    Google Scholar 

  • Calder, N., & Campbell, P. (2016). Using mathematical apps with reluctant learners. Digital Experiences in Mathematics Education, 2(1), 50–69.

    Article  Google Scholar 

  • Faggiano, E., Ferrara, F. & Montone, A. (2017). Innovation and technology enhancing mathematics education: Perspectives in the digital era. Cham, Switzerland: Springer.

  • Faggiano, E., Montone, A., & Mariotti, M. (2018). Synergy between manipulative and digital artefacts: A teaching experiment on axial symmetry at primary school. International Journal of Mathematical Education in Science and Technology, 49(8), 1165–1180.

    Article  Google Scholar 

  • Falcade, R., Laborde, C., & Mariotti, M. (2007). Approaching functions: Cabri tools as instruments of semiotic mediation. Educational Studies in Mathematics, 66(3), 317–333.

    Article  Google Scholar 

  • Hegedus, S., & Tall, D. (2016). Foundations for the future: The potential of multimodal technologies for learning mathematics. In L. English & D. Kirshner (Eds.), Handbook of international research in mathematics education (3rd ed., pp. 543–562). New York, NY: Routledge.

    Google Scholar 

  • Maffia, A., & Maracci, M. (2019). Multiple artifacts in the mathematics class: A tentative definition of semiotic interference. In M. Graven, H. Venkat, A. Essien, & P. Vale (Eds.), Proceedings of the 43rdconference of the International Group for the Psychology of mathematics education (Vol. 3, pp. 57–64). Pretoria: PME.

    Google Scholar 

  • Malara, N., & Zan, R. (2008). The complex interplay between theory and practice: Reflections and examples. In L. English (Ed.), Handbook of international research in mathematics education (2nd ed., pp. 539–564). New York, NY: Routledge.

    Google Scholar 

  • Maschietto, M., & Soury-Lavergne, S. (2013). Designing a duo of material and digital artifacts: The pascaline and Cabri Elem e-books in primary school mathematics. ZDM: The International Journal on Mathematics Education, 45(7), 959–971.

    Article  Google Scholar 

  • Montone, A., Fiorentino, M., & Mariotti, M. (2019). Learning translation in geometric transformations through digital and manipulative artefacts in synergy. In P. Zaphiris & A. Ioannou (Eds.), Learning and collaboration technologies: Designing learning experiences (pp. 191–205). Cham: Springer.

    Chapter  Google Scholar 

  • Rabardel, P. (1995). Les hommes et les technologies; Approche cognitive des instruments contemporains. Paris, France: Armand Colin.

  • Santi, G., & Baccaglini-Frank, A. (2015). Forms of generalization in students experiencing mathematical learning difficulties. PNA: Revista de Investigación en Didáctica de la Matemática, 9(3), 217–243.

    Google Scholar 

  • Sinclair, N., Chorney, S., & Rodney, S. (2016). Rhythm in number: Exploring the affective, social and mathematical dimensions of using TouchCounts. Mathematics Education Research Journal, 28(1), 31–51.

    Article  Google Scholar 

  • Steffe, L., & Thompson, P. (2000). Teaching experiment methodology: Underlying principles and essential elements. In R. Lesh & A. Kelly (Eds.), Research design in mathematics and science education (pp. 267–307). Hillsdale: Lawrence Erlbaum Associates.

    Google Scholar 

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Correspondence to Maria Alessandra Mariotti.

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Mariotti, M.A., Montone, A. The Potential Synergy of Digital and Manipulative Artefacts. Digit Exp Math Educ 6, 109–122 (2020). https://doi.org/10.1007/s40751-020-00064-6

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