Development of a Mathematical Problem Solving Diagnostic Method: An Application of Bayesian Networks and Multidimensional item Respond Theory

摘要

A major problem of the teaching and learning of mathematics in Thailand is students cannot solve problems of given situations. Giving feedback to students about their strengths and weaknesses of mathematical problems solving will generate learning mathematics effectively. The objectives of this research were to study component of mathematical problems solving as well as to develop a new diagnostic method for mathematical problems solving by using Bayesian network and a multidimensional item response theory. The study process consists of 3 phases: 1) Development of diagnostic method for mathematical problems solving.2) Comparison of methods for determining cut points. 3) Comparative Effectiveness of Diagnosis mathematical problems solving. In additions, there are 2 mathematical problem solving diagnostic tests involved in this new method. The first test is used for diagnosis of conception of mathematical problems solving and the second test is used for diagnosis of process of mathematical problems solving of students.