A new model of problem solver for geometric theorems with construction of auxiliary lines is discussed. The problem solver infers based on schematic knowledge with diagrammatic information (diagrammatic schema, DS for short). The inference algorithm invokes forward and backward chaining. The diagrammatic schema as well as the inference algorithm was designed through a series of observations of human problem solving. This paper also describes that DS is beneficial for instructions, especially for teaching students how to draw auxiliary lines.
CITATION STYLE
Matsuda, N., & Okamoto, T. (1998). Diagrammatic reasoning for geometry ITS to teach auxiliary line construction problems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1452, pp. 244–253). Springer Verlag. https://doi.org/10.1007/3-540-68716-5_30
Mendeley helps you to discover research relevant for your work.