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一、求异式比较,让数学思维走向深刻求异式比较,就是对一个静态的数学知识、数学现象进行动态的延展,在变化中寻求数学本质,让数学思维由肤浅走向深入,进而获得对问题的深刻认识和本质理解。在教学中,教师要善于引导学生从相同素材中开展求异比较,从不同侧面去挖掘蕴含其中的深层含义,提高学生思维的深刻性。例如,笔者在教学“认识负数”时,为了让学生对负数的概念有清晰、深刻而独到的认识,设计了“比身高”拓展练习。师:林莉的身高是148 cm,与她所在小组的平均
First, to find the difference between the mathematical paradigm to make a profound comparison of exotic, that is, a static mathematical knowledge, mathematical phenomena of the dynamic extension of the mathematical nature of seeking change, so that mathematical thinking from the superficial depth, and then get the right Profound understanding of the problem and understanding of the essence. In teaching, teachers should be good at guiding students to carry out differences and comparison from the same material, from different aspects to explore the implications of the implication which enhances the deep thinking of students. For example, when teaching “Learn Negatives”, the author designed “Exceed Height” exercises in order to give students a clear, profound and unique understanding of the concept of negative numbers. Teacher: Lin Li’s height is 148 cm, the average of her group