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审美在数学探究中的功能及实现路径

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从历史上看,数学审美活动推动了数学的发展,在数学家研究方向的选择中起到引导作用.将数学审美融入课堂教学之中,发挥数学审美的激励作用,引导学生以类似数学家探究数学的方式去获取知识,是更好地实现探究教学的突破之径.教师可以挖掘"三大主题"的审美素材,创设审美情境;关注审美体验的人本回归,实现心灵感悟;落实审美感知的"三大阶段",推动过程发展;构建问题评价的审美标准,提高问题质量,使数学审美能够成为学生探究的催化剂.
Mathematical Aesthetics:a Catalyst for Mathematical Enquiry
Historically,mathematical aesthetic activities have promoted the development of mathematics and played a guiding role in the choice of mathematicians'research directions.Integrating mathematical aesthetics into classroom teaching,giving full play to the motivational role of mathematical aesthetics,and guiding students to acquire knowledge in a way similar to the way mathematicians explore mathematics is a breakthrough way to better realise inquiry teaching.Teachers can explore the aesthetic materials of the"three themes"to create an aesthetic situation;pay attention to the humanistic return of the aesthetic experience to achieve spiritual enlightenment;implement the"three stages"of aesthetic perception to promote the process of development;and build the aesthetic standard of problem evaluation to improve the quality of the problem,so that mathematical aesthetics can become a catalyst for students to explore.

mathematical aestheticsmathematical inquiryproblem formulationmathematical beauty

唐恒钧、颜思璇

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浙江师范大学 教育学院,浙江 金华 321004

数学审美 数学探究 问题提出 数学美

全国教育科学规划课题教育部重点课题

DHA200318

2024

当代教育与文化
西北师范大学

当代教育与文化

CHSSCD
影响因子:0.364
ISSN:1674-5779
年,卷(期):2024.16(2)
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