Competence Indicators Test and Remedial Instruction Developments Based on Bayesian Networks－The quantity and measurement Related Indicators of Mathematics in Grade 5

[[abstract]]It is very important to improve the study effective for students and reduce the loading for teachers under the rapid information society. The main idea of the study is to research the ability index of measurement on Grade 5 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. There are four main purposes of the study as below. 1. Demonstrating the measurement index of mistaken types on Grade 5. 2. Appling the Bayesian Networks to analyze measurement index of mistaken types on Grade 5, design the quiz question and set up Bayesian Networks Framing. 3. Establishing the Learning Educational Program based on the mistaken types. 4. Demonstrating the effective of the computerized adaptive flash. There are two advantages by adopting the program. First, students can take the remedy instructions based on the test result without the stress coming from peers and teachers. Second, teachers don’t need to spend much time to correct the answer