5th European Workshop on Mathematical & Scientific e-Contents

Gabriel J. Stylianides, University of Oxford. United Kingdom

Is a Lecturer in Mathematics Education at the University of Oxford. Previously he was an Assistant Professor at the University of Pittsburgh. A Fulbright scholar, he received M.Sc. degrees in mathematics and mathematics education, and then his Ph.D. in mathematics education, at the University of Michigan. His research focuses on issues related to the teaching and learning of reasoning-and-proving in both school and university settings. His research projects have been supported by a number of agencies: the US National Science Foundation, the US Department of Education (Institute of Education Sciences), and the Spencer Foundation. He is an Editorial Board member of the International Journal of Educational Research, and an Advisory Board member of the International GeoGebra Institute.

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