数学名题与HPM研究

On the Famous Problem of Mathematics and HPM Research

数学名题对于数学教育和HPM研究都具有重要的价值。法国数学教育家、数学史家史威兹提出,在数学问题配置与求解中可选择历史上不同时期、不同文化的一些数学名题。在此基础上,我们提出了HPM视角下的问题解决教学这一新课题。HPM视角下的问题解决教学侧重于对历史上所用各种数学思想方法进行比较分析,使学生了解不同文化背景中的数学思考方式,其目的在于培养学生数学洞察力,启发数学思想方法,提升数学思维能力,并可在社会历史文化与数学思维的双重醺陶下,获得数学认知活动的文化意义,在数学教育中实践多元文化关怀的理想。

The famous problem of mathematics has important educational value both on mathematics education and HPM research. The France mathematics educator and historian Stwez stated hat we can choose some famous problems on different periods and cultures in problem setting and solving. According to this, we raise a new issue： HPM＇s problem-solving teaching. It em- phasizes to analyze and compare different mathematical thinking method on history, and makes student learn mathematics thinking way on different cultural background, the aim lies in cultivating students＇ mathematics insight, enlightening mathematical thinking method, promoting mathematical thinking ability, acquiring culture meaning of mathematical recognition activity and practicing multi-culture thought under the dual temptation of social history culture and mathemalics thinking.