Empirical study for bringing up ability to solve a problem by applying a having learned matter

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A purpose of this study is to propose to bring up the ability to apply for children by lesson improvementAs the result, ability to apply is regarded as applying contents having learned already to solve a problem. And the method of that purpose is repeating experience to apply and exposing an aspect of the application. And the teaching materials are developed about the "fraction" "congruence" "scale drawings" "average." And lesson plans are thought and have tested them.As the result, it became clear that the teacher who can not evaluate a figure of the application of the children appropriately even if the lesson plan and the teaching materials are good. The cause of such a thing is because the teacher do not have an experience of mathematical practice. Therefore materials for a teacher workshop that teacher oneself can realize performed the fun by mathematical practice were needed and have developed.