浅谈数学问题解决及其教学的一些构想

数学问题是指以数学为内容,或者虽不以数学为内容,但必须运用数学概念、理论或方法才能解决的问题。问题解决中的"问题"主要是指那些非常规的,或者条件不充分、结论不确定的开放性、探究性问题。问题解决教学要通过创设情境来激发学生的求知欲望,使学生亲身体验分析问题、解决问题的全过程,从而培养他们使用数学的意识、探索精神和实际操作能力。

Simple Discussion on the Conception of Mathematics Problem Solving and Teaching

Mathematical problems refer to the problems which regard mathematics as content or which not regard mathematics as content,but must use mathematical concepts,theories or methods to solve.The "problems" in problem solving mainly refer to the unconventional problems or the openness and inquiring problems which conditions are not adequate and the conclusion are uncertainty.The teaching of problem solving should stimulate students' learning desire through creating situations,enable them to experience the whole process of analyzing and solving problems,accordingly foster their consciousness of using mathematics,spirit of exploration and practical operation ability.