Study on Structure-oriented Mathematical Activities in High School

Abstract

　　Recently， the importance of mathematical-activity has been increasing and， in high school mathematics，the task-based learnings as mathematical-activities are obligated.　As its contents， the application-oriented mathematics， in which the functional value is emphasized， tends to be taken up. However， as it is pointed out by Wittmann， the balance between application-oriented and structure-oriented mathematics is important．In this paper， we propose the “structure-oriented mathematical-activity”that can induce the learner’s proactive and dynamic considerations， and in which， the learner can value the contents and the considerations for themselves， not for their functional values．

　　Quoting the theory of learning motivation by S. Ichikawa，the practical research on SLE by M. Suzuki，Shigematsu & K. Hino，and the study on introducing experiments in mathematical teaching by Y. Iijima，we propose the cyclic model of structure-oriented mathematical-activity， which is also a miniature of the researching activities of real mathematicians．

　　Also we summarize the view points to develop the materials for structure-oriented mathematicalactivities， and offer an example of such materials， relevant to the geometry of polygons and polyhedra．