Using pattern construction and analysis in an exploratory learning environment for understanding mathematical generalisation: The potential for intelligent support
D Pearce, Eirini Geraniou, Manolis Mavrikis, Sergio Gutiérrez-Santos, Ken Kahn · 2008
Abstract. Few systems exist that support learners explicitly in the process of learning mathematical generalisation. This paper presents the eXpresser, part of a new system that seeks to address this issue by providing the user with a microworld for the construction and analysis of general patterns. The design includes the provision of sophisticated intelligent support that assists learners and teachers throughout their various interactions with the system. Given the open and exploratory nature of the environment and the resultant freedom it affords, integrating such intelligent support poses a significant research challenge. This paper describes the system in detail and discusses a variety of ways in which we intend to meet our research goals for providing intelligent support. Key words: microworld, generalisation, exploratory learning environments 1