问题链的创设:数学文化视角下的“问题之白”

Creation of Problem Chains:The"Blank Space of the Problems"from the Perspective of Mathematical Culture

数学教学是数学思维活动的教学,而问题是促进学生深入思考的催化剂。研究认为,融入数学史料的教学,可以直接采用数学家们研究过的问题,并给学生“留白”,以留出相应的思考时间与空间。在应用复制式、顺应式和重构式融入数学史料时,可以直接采用也可以改编或者重构来创设问题链,既发展了学生思维,又融入了数学文化,同时还渗透了学科德育。

Mathematics teaching is the teaching of mathematical thinking activities,and problems are the catalysts that promote students'deep thinking.Research suggests that incorporating mathematical historical materials into classroom teaching can directly use problems studied by mathematicians and leave students with"blank spaces"to allow for corresponding thinking time and space.When applying replication,adaptation and reconstruction methods to integrate mathematical historical materials,problem chains can be directly created or adapted or reconstructed,which not only develops students'thinking,but also integrates mathematical culture and permeates subject moral education.