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关于直觉思维的特征以及培养学生初步的直觉思维能力的意义,笔者于《应用题教学中培养直觉思维初探》一文(见本刊1986年12期)中已作粗略阐明,兹不赘述。本文拟就因式分解的教学谈谈如何培养学生的直觉思维品质。一、总体观察从总体上研究对象,对对象作全画的观察,是进行直觉思维的重要前提。凡能因式分解的题总有径可循,有的明显直露,有的则隐没题中,但都必须先从总体上全面审察,看清题式全貌,才能找出最简便的解法。如分解x~4/64+x~3/8-x+1的因式,先让学生观察,很易看出这题需要先拆项或补项,但本题没有明显需拆的项,可以考虑补项,但补什么呢?若不从总
With regard to the characteristics of intuitive thinking and the significance of cultivating students’ initial intuitive thinking ability, the author has made a cursory clarification in the article “Teaching Intuition Thinking in Applied Problem Teaching” (see the Journal of the Chinese Journal of the 1986 issue 12). This article intends to discuss how to cultivate students’ intuition thinking quality in the teaching of factorization. First, the overall observation of the object from the overall study of the object for the whole painting observation is an important prerequisite for intuitive thinking. The questions that can be factorized are always circumscribed, some are obvious and some are hidden, but all must be thoroughly reviewed first, and the full picture of the questions must be clearly seen before the simplest solution can be found. If factoring in x~4/64+x~3/8-x+1 factors, let the students observe first. It is easy to see that the item needs to be disassembled or supplemented first, but there is no obvious item to be disassembled. Consider supplements, but make up for what? If not from the total