高等学校における数学的記号の理解に関する研究(II) : 置き換えを事例とした数学的記号の教育的役割

概要

論文の詳細を見る
The purpose of this text applies the focus to "Replacement" that is a form of the sign model, considers semiotics, considers psychology, and designs a theoretical frame. And, the problem scene is analyzed by using the theoretical frame, and an educational role of a mathematical sign is clarified. First of all, it takes a general view from the early research of the relation between the sign and the concept for that. Next, the merit and the weak point in study are pointed out describing, and unifying a form model the replacement, and the mathematical guarantee of the expression transformation from a form of the sign viewpoint. And, it is described for the replacement to be able to have the metonymy from the research of rhetoric in the mathematics education, and to identify acknowledged structure to use the replacement with the reference-point structure in addition, and considers it from a theoretical frame of the reference-point structure. As a result, it has been understood to provide the function to make the signifier stand out acknowledging it in the replacement. And, there are two the educational role of the functions as the acknowledgment activity of the student and, the function for the professor to the student. The case not caught in the reference-point structure either existed, and in addition, the cause referred replaced being made an object, and pointed out the difficulty in study.
全国数学教育学会の論文