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数学领域中的“数量关系与空间形式”是一切科学和技术的基础,是我们思考和解决问题的工具。其应用之广、探究之深主要在于数学自身所具备的抽象性。而这一典型特征恰好是高一学生在数学学习中遇到的最大困难。苏霍姆林斯基认为:“个别学习困难的学生,一直停留在毫无希望的境地,教师不知道该把他们怎么办,怎样才能激发他们的思维。这种情况的出现,主要是因为这些学生没有经过一番长期的‘形象思维'训练,……对抽象思维丝毫没有准备”。
The “quantitative relations and spatial forms” in the field of mathematics are the basis of all science and technology and are the tools we use to think and solve problems. Its wide range of applications, the depth of inquiry mainly lies in the abstraction of mathematics itself. And this typical characteristic happens to be the biggest difficulty that high school students encounter in maths learning. Suhomlinski thinks: “Individual students with learning difficulties have been staying in a hopeless situation, and teachers do not know what to do with them and how they can stimulate their thinking. This is mainly due to the fact that These students did not go through some long-term 'thinking-by-image' training. They did not have any preparation for abstract thinking. ”