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在平常教学中,我们常常发现一些学生的思维表现较为狭窄,往往只会按照某种固定的、习惯性的思维方式去处理问题、解决问题,缺少思维的发散性、求异性、广阔性与灵活性.现代数学教学论认为,数学活动的核心是数学思维的活动.数学学习中缺少了思维的发散性、创新性、批判性、严谨性,往往就容易形成思维定势.课标在“第四部分实施建议”关于“学生掌握数学知识”表述为“不能依赖死记硬背,而应以理解为基础,并在知识的应用中不断巩固和深化.”这正象现代教育理论所倡导的教学要发展学生思维的广阔性和灵活性.
In normal teaching, we often find that some students think more narrowly and often only deal with problems in a fixed and habitual way of thinking, solving problems, lacking in the divergence of thinking, diversity, broadness and flexibility The modern mathematics teaching theory thinks that the core of mathematics activities is the activity of mathematical thinking.Due to the lack of divergence, innovation, criticality and rigor of thinking in mathematics learning, it is often easy to form a mindset. The fourth part of the implementation of recommendations “about ” students master mathematical knowledge “expression ” can not rely on rote memorization, but should be based on understanding and knowledge in the application of consolidation and deepening. "This is just as modern The teaching advocated by educational theory should develop the broadness and flexibility of students’ thinking.