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“一题多解”是让学生从各个不同的角度去思考问题,找出条件和问题之间的联系。组织一题多解活动是我国中学数学教学的优良传统。通过数学问题的一题多解,可以引导学生从整体、部分、已知、未知等不同的角度,运用直接法、间接法等不同的方法,调动多种范畴的知识处理同一个问题,使解决问题的过程延伸到数学的各个领域,不仅有利于沟通知识之间的联系,而且有助于活跃学生的思维,拓宽思路,达到思维发散、培养创新能力的目的。
“Multiple solutions to one question” allows students to think about problems from different perspectives and find out the connection between conditions and issues. The organizational multi-question activity is a fine tradition of mathematics teaching in middle schools in China. Through solving multiple problems in mathematics problems, students can be guided to use different methods, such as direct method and indirect method, from different perspectives, such as whole, part, known, unknown, etc., to mobilize the knowledge of multiple categories to handle the same problem and solve the problem. The process of the problem extends to all areas of mathematics. It not only helps to communicate the connection between knowledge, but also helps to revitalize students’ thinking, broaden their thinking, and achieve the purpose of diverging thinking and cultivating innovation.