Creating, Connecting and Collaborating through Computing, International Conference on (2005)
Jan. 28, 2005 to Jan. 29, 2005
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/C5.2005.4
Yukari Shirota , Gakushuin University, Japan
In this paper, we present our proposed semantic explanation and symbolic computation approach in mathematical courseware automation. To get students to understand the relationships that appear in a given mathematical problem, it is necessary to explain the meanings of a set of equations using various methods: visual explanations using 2D and 3D graphs, economical explanations using words, and mathematical explanations using math expressions. In mathematical explanations, both concrete example values and calculations in variable symbols are used, depending on the situation. To make it possible to generate such a variety of explanations, we introduce the idea of mathematical concepts and apply it in our proposed method. Our proposed semantic explanation and symbolic computation approach has enabled us to automate various versions of the explanation from many angles.
courseware automation, Semantic Web, XML, XSLT, virtual character, simultaneous equations, semantics of equations
Yukari Shirota, "A Semantic Explanation and Symbolic Computation Approach for Designing Mathematical Courseware", Creating, Connecting and Collaborating through Computing, International Conference on, vol. 00, no. , pp. 158-165, 2005, doi:10.1109/C5.2005.4