The major purpose of the paper is to research the competence indicators of the “whole number” on Grade 3 and to analyze student mistaken types based on Bayesian Networks. Moreover, we want to establish the Learning Educational Program in order to offer the remedial instructions and Flash movies in accordance with the test result. First, we establish the causal relationships expert knowledge structure after analyzing the competence indicators. Then we pick up the Framing nodes from the structure as Bayesian Networks’ sub-skills, and finally design the questions based on sub-skills and analyze the mistaken types from the paper test result. According to the students’ mistaken types, the Learning Educational Program can offer the interactive remedial instructions like Flash movies we make. In a word, the study is used to achieve the targets as below. 1. Discussing the competence indicators of the “whole number” on Grade 3. 2. Appling Bayesian Networks to analyze the mistaken types of the relevant competence indicators of the “whole number” on Grade 3, and forming a quiz database as well as Bayesian Networks Framings. 3. Establishing a set of computer-aid Flash movies as remedial instructions in accordance with the student mistaken types. 4. To examine if the computer-aid Flash movies as remedial instructions are effective.
