数学史与数学教育之间的关系(HPM)是数学课堂上实现立德树人的重要途径之一,也是课程思政在教学中的重要体现。本论文将从HPM的角度出发,对等差数列的教学设计进行探讨,并将数学史与课堂教学相结合,以期对高中数学教学的科研与教学起到...数学史与数学教育之间的关系(HPM)是数学课堂上实现立德树人的重要途径之一,也是课程思政在教学中的重要体现。本论文将从HPM的角度出发,对等差数列的教学设计进行探讨,并将数学史与课堂教学相结合,以期对高中数学教学的科研与教学起到一定的借鉴作用。The relationship between the history of mathematics and mathematics education (HPM) is one of the important ways to achieve moral education in mathematics classrooms, and it is also an important manifestation of ideological and political education in teaching. In this paper, we will explore the teaching design of arithmetic sequences from an HPM point of view, and integrate the history of mathematics into classroom teaching, aiming to provide reference and assistance for high school teachers’ research and teaching.展开更多
建构主义是一项重要的现代教育理论,抛锚式教学是高中课堂教学中一种重要模式。从建构主义视角分析抛锚式教学模式对高中数学教学具有十分重要的指导意义。文章首先梳理建构主义基本观点,明确抛锚式教学模式的涵义及原则;然后基于新课...建构主义是一项重要的现代教育理论,抛锚式教学是高中课堂教学中一种重要模式。从建构主义视角分析抛锚式教学模式对高中数学教学具有十分重要的指导意义。文章首先梳理建构主义基本观点,明确抛锚式教学模式的涵义及原则;然后基于新课标理念重新审视传统教学模式,分析抛锚式教学的必要性与可行性;最后以“等差数列前n项和”为例从设锚–抛锚–解锚–升锚四个环节探讨抛锚式教学模式在高中数学课堂中的设计思路。旨在提升学生的数学思维,以更好地培养学生数学核心素养。Constructivism is an important modern educational theory, and anchored instruction is an important mode in high school classroom teaching. It is of great guiding significance to analyze the anchored teaching mode from the perspective of constructivism for high school mathematics teaching. This paper first sorts out the basic viewpoints of constructivism, and clarifies the meaning and principles of the anchored teaching mode. Then, based on the concept of new curriculum standard, the traditional teaching mode is re-examined, and the necessity and feasibility of anchored teaching are analyzed. Finally, taking “the sum of the first n terms of an arithmetic sequence” as an example, this paper discusses the design idea of anchored teaching mode in high school mathematics classroom from the four links of anchored-anchored-unanchored-anchored-up. It aims to improve students’ mathematical thinking and better cultivate students’ mathematical core literacy.展开更多
文摘数学史与数学教育之间的关系(HPM)是数学课堂上实现立德树人的重要途径之一,也是课程思政在教学中的重要体现。本论文将从HPM的角度出发,对等差数列的教学设计进行探讨,并将数学史与课堂教学相结合,以期对高中数学教学的科研与教学起到一定的借鉴作用。The relationship between the history of mathematics and mathematics education (HPM) is one of the important ways to achieve moral education in mathematics classrooms, and it is also an important manifestation of ideological and political education in teaching. In this paper, we will explore the teaching design of arithmetic sequences from an HPM point of view, and integrate the history of mathematics into classroom teaching, aiming to provide reference and assistance for high school teachers’ research and teaching.
文摘建构主义是一项重要的现代教育理论,抛锚式教学是高中课堂教学中一种重要模式。从建构主义视角分析抛锚式教学模式对高中数学教学具有十分重要的指导意义。文章首先梳理建构主义基本观点,明确抛锚式教学模式的涵义及原则;然后基于新课标理念重新审视传统教学模式,分析抛锚式教学的必要性与可行性;最后以“等差数列前n项和”为例从设锚–抛锚–解锚–升锚四个环节探讨抛锚式教学模式在高中数学课堂中的设计思路。旨在提升学生的数学思维,以更好地培养学生数学核心素养。Constructivism is an important modern educational theory, and anchored instruction is an important mode in high school classroom teaching. It is of great guiding significance to analyze the anchored teaching mode from the perspective of constructivism for high school mathematics teaching. This paper first sorts out the basic viewpoints of constructivism, and clarifies the meaning and principles of the anchored teaching mode. Then, based on the concept of new curriculum standard, the traditional teaching mode is re-examined, and the necessity and feasibility of anchored teaching are analyzed. Finally, taking “the sum of the first n terms of an arithmetic sequence” as an example, this paper discusses the design idea of anchored teaching mode in high school mathematics classroom from the four links of anchored-anchored-unanchored-anchored-up. It aims to improve students’ mathematical thinking and better cultivate students’ mathematical core literacy.
