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Animated Mathematical Proofs in Elementary Education

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The Impact of Pen and Touch Technology on Education

Abstract

The ability to prepare and present a mathematical argument, or proof, is a key component of the mathematical competence students need to achieve in elementary school. A proof for elementary students is not the highly structured deductive mathematical argument seen in high school algebra classes. Elementary students can, however, create mathematical arguments about equivalence using vocabulary appropriate for their level of understanding. The goal of the Technology to Support Mathematical Argumentation project is to develop computational tools with which elementary students can construct and share mathematical arguments. This chapter reports on the development of array manipulation and animation creation tools that are extensions to our tablet-based Classroom Learning Partner (CLP) software. It also describes our experience in a Boston third grade classroom in which students were able to successfully create animations to demonstrate mathematical arguments about equivalence.

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References

  1. Koile, K., Reider, D., & Rubin, A. (2010). INK-12: A pen-based wireless classroom interaction system for K-12. In R. Reed & D. Berque (Eds.), The impact of tablet PCs and pen-based technology on education: Evidence and outcomes (pp. 93–101). West Lafayette: Purdue University Press.

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  2. Koile, K., Reider, D., & Rubin, A. (2010). INK-12: a pen-based wireless classroom interaction system for K-12. In R. Reed & D. Berque (Eds.), The impact of tablet pcs and pen-based technology on education: Evidence and outcomes. West Lafayette: Purdue University Press.

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  3. Koile, K., & Rubin, A. (2013). Machine interpretation of students' hand-drawn mathematical representations. In Proceedings of WIPTTE.

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  4. Russell, S. J., Schifter, D., & Bastable, V. (2011). Connecting arithmetic to algebra: Strategies for building algebraic thinking in the elementary grades. Portsmouth: Heinemann.

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Acknowledgments

The authors are listed in alphabetical order. This research is funded by NSF Cyberlearning collaborative awards IIS-1250362 (Rubin), IIS-1250802 (Koile). Many thanks to program officer Janet Kolodner for her support. The PIs gratefully acknowledge the contributions from Tim Mwangi and Steve Diles, members of the MIT CLP research group; and Lily Ko and Judy Storeygard at TERC.

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Correspondence to Kimberle Koile .

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Koile, K., Rubin, A. (2015). Animated Mathematical Proofs in Elementary Education. In: Hammond, T., Valentine, S., Adler, A., Payton, M. (eds) The Impact of Pen and Touch Technology on Education. Human–Computer Interaction Series. Springer, Cham. https://doi.org/10.1007/978-3-319-15594-4_7

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  • DOI: https://doi.org/10.1007/978-3-319-15594-4_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15593-7

  • Online ISBN: 978-3-319-15594-4

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