剖析一道数学题蕴含的数学思想

Analysis of Mathematical Thinking in a Math Problem

数学题的求解过程是一个运用数学思想、方法的过程.而人们多注重解题的过程,忽视了其中蕴含的数学思想,淡化了对数学思想的认识,使数学思想的理论与实际脱节,反映了数学教学的不完善,数学思想是数学的精髓,它对数学问题的解决起着高层次的指导作用,是知识转化为能力的桥梁.数学教学如能恰到好处地溶入一些数学思想,不但会加深各科间的纵横联系,提高数学能力,而且还能激发学生学习的兴趣,调动学习的积极性,更好地开辟数学思维的空间.

Solving math problem is a process of using mathematical thought and method.While most people focused on problem-solving process,ignored the mathematical thinking,diluted the understanding of mathematical thinking,divorced from theory and practice,reflecting the imperfect teaching mathematics.Mathematical thinking is the essence of mathematics,it instructs how to solve problem of mathematics.If we Integrate Mathematics thought into Mathematics teaching,it will deepen the vertical-horizontal-contact of subjects,improve mathematical ability,stimulate students＇ interest in learning,arouse the enthusiasm of study and open up mathematical thinking space.