奥林匹克数学学习对数学发散思维与聚合思维的促进——以行程问题为例

小学数学奥林匹克竞赛中热点题型之一的行程问题,思维难度较大,学生不易掌握解题的规律和实质,是小学生奥数学习的一个难点,如何把握问题的本质联系,培养学生数学学习的转化能力,从而促进学生发散思维,我们通过教学积累和总结,对行程问题及特殊的追及问题、车长问题、时钟问题作了深入分析,结合实例,透过现象抓住本质,最后回归为行程问题这一类数学问题的解决。

The promotion of olympic mathematics learning on divergent thinking and convergent thinking of mathematics--The schedule problems as an example

One of hot topics in this paper,the elementary school mathematics olympic competition schedule problems are analyzed,summed up and studied.This kind of thinking is a difficult problem for the student who has difficult in mastering the regular pattern of problem.Solving and essence is an olympic math learning difficulty.Most of the teachers and students usually feel helpless about how to grasp the nature of the relationship between problems to cultivate students’ mathematical learning ability,and finally sublimation to cultivate students’ divergent thinking.By teaching accumulation and summarization,the author of schedule problems and special chase and,conductor,clock has made the thorough analysis,combining with the instance,seize the essence through the phenomena,finally return to the schedule issue problem solving math problems.