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笔者认为,在教学中,可以通过数形结合、情景直观和动手操作等,帮助学生搭建思维发展的脚手架,使学生突破思维发展的瓶颈,促进思维的提升。一、以形促数。形与式的自然结合。数与形是数学研究的主要对象,有的研究对象较为直观,但更多的研究对象是抽象的,“看不见,摸不着”。然而,数学中那些抽象的对象绝不是无本之木、无源之水,它的根和源一定是具体的。在数学教学中,可以依托、利用图形进行思考和想象,让抽象的内容变得形象生动,把复杂的问题简单化,变得更容易被
The author believes that in teaching, we can help students to build the scaffolding of thinking and development through the combination of number and form, intuitive scenarios and hands-on operation so that students can break through the bottleneck of thinking and promote the improvement of thinking. First, to form a few. Combination of form and nature. Number and shape are the main objects of mathematical research, some of the objects are more intuitive, but more of the research object is abstract, “invisible, touch ”. However, those abstract objects in mathematics are by no means woodless and passive water, and their roots and sources must be concrete. In mathematics teaching, you can rely on, the use of graphics for thinking and imagination, so that the abstract content becomes vivid, the complexity of the problem is simplified, easier to be