Strategic Research Based on the Pros and Cons of the Idea of “One Problem with Multiple Solutions”—Taking a Series as an Example

在“双减”政策背景下，数学教育正从“题海战术”向“思维培养”转型，而“一题多解”思想通过多角度分析问题，可有效提升学生的发散思维，有助于建立知识点之间的内在联系，实现可视化，但在其实施过程中也存在认知超载风险、教学效率低等潜在弊端。文章以数列为例展开论述，通过两个例题展示，提出相应的教学策略和建议，促进学生数学素养的全面发展。Under the background of the “double reduction” policy, mathematics education is transforming from “sea of questions tactics” to “thinking training”, and the idea of “one problem with multiple solutions” can effectively improve students’ divergent thinking through multi-angle analysis of problems, help to establish the internal connection between knowledge points, and achieve visualization, but there are also potential drawbacks such as cognitive overload risk and low teaching efficiency in the implementation process. This paper takes the series as an example, and puts forward corresponding teaching strategies and suggestions through two example problems to promote the all-round development of students’ mathematical literacy.