Design Principles for a System to Teach Problem Solving by Modelling

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Design Principles for a System to Teach Problem Solving by Modelling
This paper presents an approach to the design of a learning environment in a mathematical domain (elementary combinatorics) where problem solving is based more on modelling than on deduction or calculation. In this approach, we want to provide the student with a presentation which is close to the natural language formulations that she tends to give spontaneously, while ensuring a rigorous mathematical reasoning. To do so, we have introduced three modelling levels : first a mathematical formalisation of the students' intuitive process, then a conceptual and computational model allowing mathematical reasoning as well as communication with the student, and finally a presentation consisting in several interfaces, each one grouping problems ot some class. These interfaces are viewed as nondeterministic "machines" that the student uses to build a configuration satisfying some constraints. Keywords Intelligent tutoring system, Knowledge representation for instruction, interfac...
Gérard Tisseau, Hélène Giroir
Added 25 Aug 2010
Updated 25 Aug 2010
Type Conference
Year 2000
Where ITS
Authors Gérard Tisseau, Hélène Giroire, Françoise Le Calvez, Marie Urtasun, Jacques Duma
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