This paper proposes a methodology to calculate both the difficulty of the basic problems and the difficulty of solving a problem. The method to calculate the difficulty of problems is according to the process of building a problem, including Concept Selection, Unknown Designation, and Proposition Construction. Some necessary measures observed in the problem building process are also defined in this paper in order to formulate and calculate the difficulties. Beside the difficulty of the basic problem, four difficulty dimensions, Identification, Elaboration, Planning, and Execution, corresponding to the problem solving steps are also analyzed in this paper. With these difficulty measures learners can understand what kinds of problems they met and what sorts of problem solving strategies are emphasized in solving the problem. To reach our goal, an Item Generating System is constructed for demonstrating and supporting the difficulty calculation in the end of this paper.
Citation:
Rita Kuo, Wei-Peng Lien, Maiga Chang, Jia-Sheng Heh, "Difficulty Analysis for Learners in Problem Solving Process Based on the Knowledge Map," icalt, pp.386, Third IEEE International Conference on Advanced Learning Technologies (ICALT'03), 2003