In this paper, we propose a positioning learning support system with false information and vague information teaching functions for violin beginners. A hypothesis is made that the system obscures presented information from the learner or presents erroneous information so that the learner can break away from the learning support information. In an experiment using this system, it was shown that the group learning with vague information and false information tailored to the proficiency level learned more effectively than the group that continued learning with only accurate learning support information. This demonstrates the usefulness of the system. Moreover, we structured the causal relationship between True mode, Vague mode, and False mode objectively and visually in the proposed system using a structured modeling method using the ISM method (Interpretive Structural Modeling). A mutual relationship between various modes can be illustrated as with a multilayer directed graph. From these results, we consider the ideal learning model for the casual relationship between each mode.