Bayesian Networks is a fashion division in up-to-date artificial intelligence field.Not only it rewarded much praise from prediction and examination on educational teaching but also it has been extensively applied in the fields of medicine and engineering. The main idea of the study is to research the ability of Algebra 、 Statistics and probability on Grade 4 and demonstrate the applicable of students mistaken types based on Bayesian Networks which is a probability analysis method. Students attend the test through the Learning Educational Program online, which is developed based on the index of Grade 1-9 Curriculum. The system can show the subject comprehension and begin to the Learning Educational Program on the basis of the mistaken type distribution. Due to the analysis result, there are two conclusions as below. 1. Computerized diagnosing test part Using the dynamic classified decision-point to identify the mistaken types and ability&sub-skills classified index, the scores are up to 97.01 and 86.32 respectively.It is suitable to use the ability index of Algebra 、 Statistics and probability on Grade 4 by Bayesian Networks. 2. Computerized remedy instructions part One of the program advantages is to give individual remedy instructions based on mistaken types, and it is un-available by traditional paper test. According to the t-test result on the scores which come from adopting and un-adopting remedy instructions groups, it is significantly effective to use the program.
