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数学教学主要是数学思维活动的教学。发散思维在数学学习和应用中是一种全新思维。如果教师能充分认识它的内涵,拓展它的外延,并利用这一规律对学生进行发散式思维训练,必将有助于学生良好数学思维习惯的培养,从而全面提升学生解决数学实际问题的能力。首先,我认为反复进行一题多解、一题多变的训练,是帮助学生克服思维狭窄性的有效办法。可通过讨论,启迪学生的思维,开拓解题思路,在此基础上让学生通过多次训练,既增长了知识,又培养了思维能力。
Mathematics teaching is mainly the teaching of mathematical thinking activities. Divergent thinking in mathematics learning and application is a new kind of thinking. If teachers can fully understand its connotation and expand its extension, and use this law to carry out divergent thinking training for students, it is bound to help students to develop good mathematical thinking habits, so as to enhance students’ ability to solve practical problems of mathematics in an all-round way . First of all, I think it is an effective way to help students overcome the narrowness of thinking by repeating more than one solution and changing their training. Through discussions, we can enlighten students’ thinking and explore ways of solving problems. On the basis of this, students can not only increase their knowledge but also develop their thinking ability through multiple trainings.