F·克莱因的HPM思想及其教学启示

Felix Klein's HPM Thought and Its Relative Teaching Enlightenment

F·克莱因是杰出的数学家、数学教育家,其著作《高观点下的初等数学》中的HPM思想可概括为三个方面:从概念历史发展中吸取经验教训;利用历史素材,丰富课堂教学,促进学生发展;将历史与现代数学发展结合,改进教学内容的呈现形式。HPM思想对我国数学教学有以下几点启示:数学史是理解数学的途径;数学教学应返璞归真并加强课题研究;数学史是教师专业知识的重要组成部分。

F.Klein is an outstanding mathematician and mathematics educationalist.The HPM thought in his Elementary Mathematics from an Advanced Standpoint includes three aspects： drawing experiences and lessons from the historical development of concepts;using the historical material to enrich classroom instruction and to promote the development of students;and combining the developments of historical and modern mathematics to improve the presentation forms of course content.The following is its enlightenment on our country＇s mathematics instruction： the history of mathematics is one of the ways to understood mathematics;mathematics teaching should give up affectation and strengthen the project research;and the history of mathematics is one of the important constituents of teachers＇ professional knowledge.