数学开放题:测量学生创造力的有效途径

Open-Ended Math Problem: An Effective Method to Assess Students' Creativity

本研究选择了一道几何和一道算术开放题,对上海某公立学校六年级学生进行试测,从流畅性、灵活性、新颖性三个角度考察学生的整体表现。结果显示,通过开放的问题试题测量学生数学创造力是有效及可行的;由于开放性试题解答的多样性,学生可以更好地运用发散性思维。在使用数学开放题测量和培养学生创造力时,教师应依据学生个体、学段、学科特点设计开放性试题中的评价标准,并在测试中尽可能多地为学生预留足够的思考时间,关注其创新性和新颖性的表现,同时鼓励生生互评,提高评价效率。

In this research, students from Grade Six of one public school in Shanghai not only are examined with one geometry and one open-ended Math problem respectively, but are evaluated from three dimensions including fluency, flexibility and originality. The result reveals that it is possible and feasible to measure mathematics creativity by open-ended problem solving. For less limitation of the answer, students can use their divergent thinking better. In order to help students to do so, teachers should set up the assessment standard based on students＂ cognitive level, give them enough time to solve the problems, focus on their performances of creativity and novelty, and encourage them to evaluate each other for improving assessing efficiency.