基于“四新”建设理念的问题引领式高中数学微课程自主学习系统研究

Research on Problem-Based Learning System of Micro-Lecture Autonomous Learning for High School Mathematics Based on the “Four New” Construction Philosophy

摘要: 基于“新工科”、“新农科”、“新医科”、“新文科”的“四新”建设发展的要求，如何培养未来创新型人才的数学素养成为关键困难之一。目前的研究发现，高中数学微课可以作为解决这一困难的有效途径。然而，高中数学知识点繁杂、所需方法技巧多变，学生基础差距往往较大等因素，当前缺乏系统性的知识体系构建，因此很难用好微课这一灵活高效的手段辅助高中数学的教学。文中结合新高考的数学考试题，分析高考数学考试背景知识的历史演进过程，确定数学创新思维的背景来源与数学微课程案例的建设原则，提出设计符合学校学生基础的PPT、录制知识点、思维导图、数学案例视频微课，建设多个题库，并充分应用这些资源的自主学习系统。

Abstract: One of the key challenges in developing innovative talents for the “Four New” fields of engineering, agriculture, medicine, and liberal arts is to cultivate their mathematical literacy. Current research has found that high school math micro-lecture can serve as an effective way to address this chal-lenge. However, due to the complex and diverse knowledge points in high school mathematics, the need for varying methods and techniques, and differences in student foundations, there is currently a lack of a systematic knowledge structure that can effectively utilize micro-lecture as a flexible and efficient tool to support high school mathematics teaching. The article combines questions from the mathematics exam questions for the new college entrance examination to analyze the historical evolution of the background knowledge of the exam, and identifies the sources of mathematical in-novative thinking and the principles for constructing mathematical micro-lecture cases. It proposes to design a self-learning system that is tailored to the school students’ foundation, includes PPTs, recorded micro-lecture of knowledge points and mind maps, establishes multiple question banks to fully utilize these resources.