促进数学高阶思维发展的学生问题提出:来自课例研究的启示

Students'Problem Posing for the Development of Higher-order Thinking:A Lesson Study

发展学生数学高阶思维,落实核心素养的重要途径之一就是培养学生的问题提出能力。然而,在课堂上让学生提出问题,对师生双方来说都是挑战。本文基于问题提出的相关文献,结合课题组已构建的初中生数学高阶思维内涵框架,形成分析框架,对两位老师的四节课进行了分析。分析结果发现,“问题提出”策略能够促进学生高阶思维的发生,但整体上学生的问题提出能力还有很大的提升空间。教师在设计和实施的过程中,也需要多方面的精心安排与考虑。

Engaging students in mathematical problem-posing activities is one of the most important ways to develop students'higher-order mathematical reasoning,a key competence for individuals.However,problem-posing activities present obstacles for both teachers and students.We analyzed the problem-posing activities in middle school mathematics classrooms based on the framework of higher-order thinking derived from prior and pertinent research.Our findings from the four lessons show that"problem-posing"strategies can help students build higher-order thinking skills.However,students should be trained to pose high-quality problems,and teachers also need to carefully design problem-posing tasks.