Abstract
The purpose of this paper is to set the framework of learning activity's theory which students exploit mathematical knowledge into their own daily life. For this purpose, the author considered that how people exploit mathematical knowledge into their own daily life, and defined attitude exploiting mathematical knowledge into their own daily life as "to be changed their own daily life activity by mathematical knowledge". In addition, the author proposed mathematical learning's hierarchy based on Bateson's theory (Bateson, 2000) and Engestrom's activity theory (Engestrom,1999). From these notion and analysis of "national scholarship and learning situation research", the author thought that domestic mathematical education is not "exploiting mathematical knowledge into their own daily life" but "exploiting living scene into mathematical field". In order to develop students' ability which they can exploit mathematical knowledge into their own daily life, it is necessary to develop learning which changes students' living activity system.
