Hoyles, Celia; Noss, Richard; (2007) Learning By Constructing and Sharing Models. In: Haines, C and Galbraith, P and Khan, S and Blum, W, (eds.) Mathematical Modelling: Education, Engineering and Economics–ICTMA 12. (pp. 79-88). Elsevier: Amsterdam, The Netherlands.

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Abstract

We report on a small slice of a large-scale, three-year, EU-funded research project, WebLabs, which focused on the iterative design of two systems: a programming-based environment for students to build models of their mathematical and scientific knowledge, and a set of web-based collaboration tools to share both their ideas and their programmed models. Our students were aged between 10 and 14 years, and spanned six EU countries. We focus on the iterative design of a set of activities in the context of the construction and exploration of a 'lunar lander', in which the idea was eventually to build a game about landing on the moon. Our hope was that in constructing a model of a lander, exploring its behaviour, sharing knowledge about problems and ultimately sharing the game, students would develop a deeper appreciation of the concepts of position, velocity and acceleration with the tools provided, and the relationships between them. We focus particularly on students' activities in relation to reading and interpreting position-time and velocity-time graphs.

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