Design of Adaptive Exam for Homogeneous Second Order Differential Equations

Regarding the role of evaluation in educational systems especially e-learning systems, it is necessary to offer a strategy to address existing deficiencies in the current evaluation methods. Therefore, as a data collection tool, a researcher made exam was used in the present study which its questions were made by table - content and the Bloom learning levels, dealing with designing an adaptive test for homogeneous second order differential equations. Before the main performance, reliability and validity of these questions, considering the discrimination index, item difficulty, and the coefficient alpha Cronbach for internal consistency questions were examined. Using cluster sampling, 110 students of engineering and faculty of sciences in ShahidRajaee Teacher Training University were randomly selected and they participated in this research. Based on the results, the examinees' ability level and the difficulty parameters and discrimination questions were estimated. In view of the parameters of questions and learner's knowledge model the adaptive exam was designed to perform on the sample of 30 students in this study. Comparing the results shows that compatibility of the students' test scores in writing and adaptive tests is 67%.