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在数学的知识体系和思想方法中,处处蕴含着辩证唯物主义的哲学思想:对立统一规律、量变与质变规律、否定之否定规律等。在课堂教学中,如何渗透数学中的辨证思想,拓展学生思维的深度和广度,形成良好的数学思维品质,从而激发学生的学习兴趣,提高课堂教学效率,这是笔者一直思考和实践的内容。下面,笔者以等腰三角形这一章中“等腰三角形三线合一定理”的再思考为例进行探讨。
In the mathematical knowledge system and method of thinking, it contains the philosophical thinking of dialectical materialism everywhere: the law of unity of opposites, the law of quantitative change and qualitative change, the law of negation and so on. In classroom teaching, how to infiltrate dialectical thinking in mathematics, expand the depth and breadth of students ’thinking, form a good mathematical thinking quality, so as to stimulate students’ interest in learning and improve the efficiency of classroom teaching, which is what the author has been thinking and practicing. In the following, the author discusses the isosceles triangle in this chapter “re-thinking of the third-line isosceles triangle ” as an example.