Broadening the sense of 'dynamic': an exploratory system to support students' mathematical generalisation

Noss, Richard, Hoyles, Celia, Mavrikis, Manolis, Geraniou, Eirini, Gutierrez-Santos, Sergio and Pearce, Darren (2009) Broadening the sense of 'dynamic': an exploratory system to support students' mathematical generalisation. [in special issue: Transforming Mathematics Education through the Use of Dynamic Mathematics Technologies] ZDM: Mathematics Education, 41 (4), 493-503. (doi:10.1007/s11858-009-0182-8).

Abstract

In this paper, we seek to broaden the sense in which the word ‘dynamic’ is applied to computational media. Focusing exclusively on the problem of design, the paper describes work in progress, which aims to build a computational system that supports students’ engagement with mathematical generalisation in a collaborative classroom environment by helping them to begin to see its power and to express it for themselves and for others. We present students’ strengths and challenges in appreciating structure and expressing generalities that inform our overall system design. We then describe the main features of the microworld that lies at the core of our system. In conclusion, we point to further steps in the design process to develop a system that is more adaptive to students’ and teachers’ actions and needs.

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