5th European Workshop on Mathematical & Scientific e-Contents

Andreas J. Stylianides, University of Cambridge. United Kingdom

Is a Lecturer in Mathematics Education at the University of Cambridge. Previously he held a postdoctoral appointment at the University of California - Berkeley and an academic fellowship at the University of Oxford. His research focuses on the teaching and learning of mathematical proof, and has been carried out with support from the UK's Economic and Social Research Council and the Spencer Foundation. He is the Assistant Editor of the International Journal of Educational Research, an Editorial Board member of Research in Mathematics Education, and an Advisory Board member of the International GeoGebra Institute. He is the recipient of the 2010 AERA SIG/RME Early Career Publication Award for his article "Proof and Proving in School Mathematics" (JRME, 2007, vol. 38, pp. 289-321).

Reasoning-and-proving in the GeoGebra environment

In this presentation we will consider how GeoGebra can support engagement with reasoning-and-proving, a hyphenated term we use to describe a family of activities involved in investigations of whether and why "things work" in mathematics, notably generalising (identifying patterns, making conjectures) and justifying (developing arguments and proofs). We will discuss that research and practice thus far have explored GeoGebra's potential to provide a rich environment for making generalisations, but have paid less attention to how GeoGebra could also support, or emphasise the need for, the development of arguments and proofs for these generalisations. We will argue for more attention to the justification aspect of reasoning-and-proving, and will identify directions for future research and development in this area.

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Editor: Gerardo Rodríguez - gerardo@usal.es - Last modified: 23.08.2010