《普通高中数学课程标准(2017年版)》提出了以学生的发展为本,培养和提高学生核心素养的要求,同时国家要求尽快落实立德树人的根本任务,发展素质教育。在素质教育理念的指导下,高中数学教学模式发生了根本性的变化,支架式教学成为课堂...《普通高中数学课程标准(2017年版)》提出了以学生的发展为本,培养和提高学生核心素养的要求,同时国家要求尽快落实立德树人的根本任务,发展素质教育。在素质教育理念的指导下,高中数学教学模式发生了根本性的变化,支架式教学成为课堂教学的一种重要模式,基于此,对我国高中数学教学现状进行分析,以“椭圆及其标准方程”为例,探讨支架式教学模式对实现学生深度学习的重要意义,为数学学科核心素养落地课堂提供新思路。The General High School Mathematics Curriculum Standard (2017 Edition) puts forward the requirements of taking the development of students as the basis and cultivating and improving the core qualities of students, and at the same time, the state requires the implementation of the fundamental task of establishing moral education as soon as possible and the development of quality education. Under the guidance of the concept of quality education, the teaching mode of high school mathematics has undergone fundamental changes, and scaffolding teaching has become an important mode of classroom teaching. Based on this, the current situation of high school mathematics teaching in China is analyzed, and “ellipse and its standard equations” is taken as an example to explore the significance of scaffolding mode of teaching in realizing the depth of student learning. Based on this, we analyze the current situation of high school mathematics teaching in China, and take “ellipse and its standard equation” as an example to discuss the importance of scaffolding teaching mode in realizing students’ deep learning, and to provide new ideas for the implementation of core literacy in the classroom of mathematics.展开更多
概念是思维的基本单位,数学概念的理解是一切数学思维活动的基石,学生对数学概念理解不充分会导致其它数学活动的实施变得困难。在高中数学教学中,圆锥曲线的概念较为抽象,而椭圆又是学习圆锥曲线的起始,如何合理引导学生学习椭圆及其...概念是思维的基本单位,数学概念的理解是一切数学思维活动的基石,学生对数学概念理解不充分会导致其它数学活动的实施变得困难。在高中数学教学中,圆锥曲线的概念较为抽象,而椭圆又是学习圆锥曲线的起始,如何合理引导学生学习椭圆及其标准方程至关重要。APOS理论将数学概念学习划分为操作、过程、对象和图式四个环节,旨在通过活动辅助获得数学概念,加深理解。本文基于APOS理论对高中椭圆及其标准方程内容进行了教学设计,探究该理论在教学实践中的可行性,旨在为提升高中数学教学水平提出建议。A concept is the fundamental unit of thought, and the understanding of mathematical concepts serves as the cornerstone for all mathematical thinking activities. Inadequate understanding of mathematical concepts by students can render the implementation of other mathematical activities difficult. In high school mathematics teaching, the concept of conic sections is relatively abstract, and the ellipse marks the beginning of studying conic sections. Therefore, it is crucial to guide students in learning about ellipses and their standard equations in a reasonable manner. The APOS theory divides the learning of mathematical concepts into four stages: action, process, object, and schema, aiming to facilitate the acquisition and deepening of understanding of mathematical concepts through activities. Based on the APOS theory, this paper designs a teaching plan for the content of ellipses and their standard equations in high school mathematics, exploring the feasibility of this theory in teaching practice. The aim is to propose suggestions for enhancing the teaching quality of high school mathematics.展开更多
文摘《普通高中数学课程标准(2017年版)》提出了以学生的发展为本,培养和提高学生核心素养的要求,同时国家要求尽快落实立德树人的根本任务,发展素质教育。在素质教育理念的指导下,高中数学教学模式发生了根本性的变化,支架式教学成为课堂教学的一种重要模式,基于此,对我国高中数学教学现状进行分析,以“椭圆及其标准方程”为例,探讨支架式教学模式对实现学生深度学习的重要意义,为数学学科核心素养落地课堂提供新思路。The General High School Mathematics Curriculum Standard (2017 Edition) puts forward the requirements of taking the development of students as the basis and cultivating and improving the core qualities of students, and at the same time, the state requires the implementation of the fundamental task of establishing moral education as soon as possible and the development of quality education. Under the guidance of the concept of quality education, the teaching mode of high school mathematics has undergone fundamental changes, and scaffolding teaching has become an important mode of classroom teaching. Based on this, the current situation of high school mathematics teaching in China is analyzed, and “ellipse and its standard equations” is taken as an example to explore the significance of scaffolding mode of teaching in realizing the depth of student learning. Based on this, we analyze the current situation of high school mathematics teaching in China, and take “ellipse and its standard equation” as an example to discuss the importance of scaffolding teaching mode in realizing students’ deep learning, and to provide new ideas for the implementation of core literacy in the classroom of mathematics.
文摘概念是思维的基本单位,数学概念的理解是一切数学思维活动的基石,学生对数学概念理解不充分会导致其它数学活动的实施变得困难。在高中数学教学中,圆锥曲线的概念较为抽象,而椭圆又是学习圆锥曲线的起始,如何合理引导学生学习椭圆及其标准方程至关重要。APOS理论将数学概念学习划分为操作、过程、对象和图式四个环节,旨在通过活动辅助获得数学概念,加深理解。本文基于APOS理论对高中椭圆及其标准方程内容进行了教学设计,探究该理论在教学实践中的可行性,旨在为提升高中数学教学水平提出建议。A concept is the fundamental unit of thought, and the understanding of mathematical concepts serves as the cornerstone for all mathematical thinking activities. Inadequate understanding of mathematical concepts by students can render the implementation of other mathematical activities difficult. In high school mathematics teaching, the concept of conic sections is relatively abstract, and the ellipse marks the beginning of studying conic sections. Therefore, it is crucial to guide students in learning about ellipses and their standard equations in a reasonable manner. The APOS theory divides the learning of mathematical concepts into four stages: action, process, object, and schema, aiming to facilitate the acquisition and deepening of understanding of mathematical concepts through activities. Based on the APOS theory, this paper designs a teaching plan for the content of ellipses and their standard equations in high school mathematics, exploring the feasibility of this theory in teaching practice. The aim is to propose suggestions for enhancing the teaching quality of high school mathematics.
