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新课程标准提倡(鼓励)算法多样化。这就要求教师充分尊重学生的个性想法,鼓励学生独立思考,允许学生从不同的角度、运用不同的方法解决问题。算法多样化并不是要求学生掌握各种算法,也不等于方法的全面化,更不是鼓励学生除了自己的算法之外,对其他的算法置之不理。在学生通过交流说出多种算法后,教师应及时引导学生对各种算法进行归纳整理及分析比较后不断完善或改进自己的方法。在提倡算法多样化的基础上应发展学生的数学思维,引导学生优化算法,最终实现算法最优化。
The new curriculum standard advocates (encourages) the diversity of algorithms. This requires that teachers fully respect students’ individuality and encourage students to think independently and allow students to use different methods to solve problems from different perspectives. Algorithm diversification does not require students to master a variety of algorithms, it does not mean that the method of comprehensive, but not to encourage students in addition to their own algorithms, ignore the other algorithms. After the students say a variety of algorithms through exchange, the teacher should prompt the students to summarize and analyze various algorithms in a timely manner and constantly improve or improve their own methods. Based on the diversification of algorithms, it is necessary to develop students’ mathematical thinking, guide students to optimize algorithms, and finally optimize the algorithm.