数学教学中学生发散思维能力的培养,不仅是新大纲对应用题教学的要求之一,而且对学生掌握基础知识,提高解题技巧,培养创造能力大有帮助。本文从以下三方面进行阐述:通过联想和转化,培养学生思维的灵活性;通过多题同解或一题多解,培养学生思维的变通性;通过补充问题,培养学生思维的深刻性。 The training of students’ divergent thinking ability in mathematics teaching is not only one of the requirements of the new syllabus for the teaching of practical problems, but also helpful for students to master basic knowledge, improve problem solving skills and cultivate creative ability. This article elaborates from the following three aspects: through the association and transformation, fostering students ’flexibility of thinking; cultivating the flexibility of students’ thinking through multiple solutions or multiple solutions of one question; and cultivating the profound thinking of students through supplementary questions.