明治検定期算術教科書における分数除法の意味に関する説明の論理

第II期の教科書に見る，整数除法の意味に関する説明の論理との間における《連続性》の構成を主要な対象として

抄録

For the logic of explanations of the meanings of four arithmetic operations, there is a need for explanations with continuity, that is, which can be extended to operations of rational numbers (fractions, decimals), and do not have individual and limited characteristics only applicable to integer operations. The process of trial and error to develop these meanings was tangibly expressed in textbooks during the period of textbook authorization system in the Meiji Era (from 1886 to 1903). This paper mainly targets arithmetic textbooks during the second period of textbook authorization system in the Meiji Era (from 1900 to 1903), analyzing the logic and characteristics of explanations of the meaning of division of fractions. In doing so, the main focus is set on whether there is formation of continuity with the logic of explanation of the meaning of integer division. As a result of this analysis, directionality is seen in formation of continuity. At the same time, unique tangible examples of this directionality were found.