数学教育与辩证思维——兼论“数学教学的关键”

Mathematics Education and Dialectic Thinking--The Keys to Mathematics Teaching

充分发挥辩证思维对于数学教育的指导作用,不仅应当很好地处理各个对立面之间的辩证关系,防止与纠正各种片面性观点与做法,还应针对现实情况指明努力的方向.就当前而言,应当切实抓好这样几个关键环节:“入”与“出”,“引”和“思”,“深”与“浅”,“内”与“外”.

To give full play to the guiding role of dialectic thinking in mathematics education,we should not only handle the dialectical relationship between various opposites,prevent and correct various one-sided views and practices,but also point out the direction for further working.Currently,we should earnestly grasp the following key links:(1)“in”and“out”;(2)“leading”and“thinking”;(3)“deep”and“shallow”;(4)“interiorization”and“manifestation”.