试论培养学生数学观念的重要性和制约因素

On the essentiality and constraining factors in cultivating students' mathematical notion

本文从数学观念的内涵和马克思主义认识论角度切入 ,具体分析了数学观念形成、拓展和创新的重要性及制约因素 ,明确指出了教师应如何引导学生树立、拓展和创新数学观念 ,这无论是对于学生改变固有的传统观念、形成良好的思维方式 ,还是对于他们提高分析与解决问题的能力 。

In view of the connotation of mathematical notion and Marxism epistemology, the essay concretely analyzes how the teachers should direct the students to establish, expand, and innovate their mathematic idea. It also analyzes teachers' important effects upon changing the students' inherent notion, cultivating their good way of thinking, and improving their abilities of analyzing and solving problems.