展望未来,世界需要的不是只会读书做题的“优等生”,而是全面发展的高素质综合型人才,这就是STEAM教育理念诞生的最初意义。STEAM教育理念有别于传统的单学科、重书本知识的教育方式。它是将科学、技术、工程、艺术、数学多领域进行融...展望未来,世界需要的不是只会读书做题的“优等生”,而是全面发展的高素质综合型人才,这就是STEAM教育理念诞生的最初意义。STEAM教育理念有别于传统的单学科、重书本知识的教育方式。它是将科学、技术、工程、艺术、数学多领域进行融合的综合教育,通过联系实际情景,以问题为索引,打破学科之间的界限,注重综合实践,旨在培养具备创新、探究能力的高素质人才。教师通过将STEAM教育理念融入中学数学教学,能有助于培养学生创新精神,激发数学学习兴趣,进而能将数学知识进行跨学科应用,提升其综合能力。本文在借鉴STEAM教育理念与实践的基础上,以提升学生能力为目标,探索基于理念的高中数学教学原则与环节。Looking forward to the future, what we need is not “excellent students” who can only read and do problems, but high-quality comprehensive talents with all-round development, which is the original meaning of the birth of STEAM education concept. The STEAM education concept is different from the traditional single-subject, book-based education method. It is a comprehensive education that integrates science, technology, engineering, art, and mathematics, and aims to cultivate high-quality talents with innovative and inquisitive abilities by linking actual situations, taking problems as indexes, breaking down the boundaries between disciplines, and focusing on comprehensive practice. By integrating the STEAM education concept into middle school mathematics teaching, teachers can help cultivate students’ innovative spirit, stimulate their interest in mathematics learning, and then apply mathematics knowledge across disciplines to improve their comprehensive ability. Based on the concept and practice of STEAM education, this paper explores the principles and links of high school mathematics teaching based on concepts with the goal of improving students’ abilities.展开更多
在《常微分方程》的学习过程中,我们发现其中的很多思想方法都在中学数学中有着一定的应用,并且很多中学数学问题都可以用微分方程的方法来解答。本篇文章从《常微分方程》教材中借鉴了关于微分方程的部分理论依据,对《常微分方程》的...在《常微分方程》的学习过程中,我们发现其中的很多思想方法都在中学数学中有着一定的应用,并且很多中学数学问题都可以用微分方程的方法来解答。本篇文章从《常微分方程》教材中借鉴了关于微分方程的部分理论依据,对《常微分方程》的发展历程和它在中学数学中的具体应用进行了总结。重点阐述了物体冷却、水池注水等问题,用微分方程证明欧拉三角公式,借助微分方程研究曲线性质与切线问题,确定基本初等函数的本质特征及常数变易法在中学数学解题中的应用等问题。其中的一些方法技巧对于提高中学数学教师教学能力有一定的指导作用。在文章的正文部分还通过一些详细的例题讲解来让更多的读者了解微分方程及其在中学数学中的具体应用,令广大读者加深对这一方面的理解。In the process of learning “Ordinary Differential Equations”, we can find that many of them have certain applications in middle school mathematics, and many middle school mathematics problems can be solved by differential equations. This paper draws some theoretical basis on differential equations from the textbook “Ordinary Differential Equations” and summarizes the development of “Ordinary Differential Equations” and its specific application in middle school mathematics. It focuses on object cooling, water filling in pools, etc.;proving Euler’s trigonometric formula with differential equations;using differential equations to study the properties of curves and tangent problems;determining the essential characteristics of basic elementary functions and the application of constant variation method in middle school mathematics problem-solving, etc. Some of these methods and skills have a certain guiding role in improving the teaching ability of middle school mathematics teachers. In the main part of the article, some detailed examples are also used to let more readers understand differential equations and their specific applications in middle school mathematics so that readers can deepen their understanding of this aspect.展开更多
文摘展望未来,世界需要的不是只会读书做题的“优等生”,而是全面发展的高素质综合型人才,这就是STEAM教育理念诞生的最初意义。STEAM教育理念有别于传统的单学科、重书本知识的教育方式。它是将科学、技术、工程、艺术、数学多领域进行融合的综合教育,通过联系实际情景,以问题为索引,打破学科之间的界限,注重综合实践,旨在培养具备创新、探究能力的高素质人才。教师通过将STEAM教育理念融入中学数学教学,能有助于培养学生创新精神,激发数学学习兴趣,进而能将数学知识进行跨学科应用,提升其综合能力。本文在借鉴STEAM教育理念与实践的基础上,以提升学生能力为目标,探索基于理念的高中数学教学原则与环节。Looking forward to the future, what we need is not “excellent students” who can only read and do problems, but high-quality comprehensive talents with all-round development, which is the original meaning of the birth of STEAM education concept. The STEAM education concept is different from the traditional single-subject, book-based education method. It is a comprehensive education that integrates science, technology, engineering, art, and mathematics, and aims to cultivate high-quality talents with innovative and inquisitive abilities by linking actual situations, taking problems as indexes, breaking down the boundaries between disciplines, and focusing on comprehensive practice. By integrating the STEAM education concept into middle school mathematics teaching, teachers can help cultivate students’ innovative spirit, stimulate their interest in mathematics learning, and then apply mathematics knowledge across disciplines to improve their comprehensive ability. Based on the concept and practice of STEAM education, this paper explores the principles and links of high school mathematics teaching based on concepts with the goal of improving students’ abilities.
文摘在《常微分方程》的学习过程中,我们发现其中的很多思想方法都在中学数学中有着一定的应用,并且很多中学数学问题都可以用微分方程的方法来解答。本篇文章从《常微分方程》教材中借鉴了关于微分方程的部分理论依据,对《常微分方程》的发展历程和它在中学数学中的具体应用进行了总结。重点阐述了物体冷却、水池注水等问题,用微分方程证明欧拉三角公式,借助微分方程研究曲线性质与切线问题,确定基本初等函数的本质特征及常数变易法在中学数学解题中的应用等问题。其中的一些方法技巧对于提高中学数学教师教学能力有一定的指导作用。在文章的正文部分还通过一些详细的例题讲解来让更多的读者了解微分方程及其在中学数学中的具体应用,令广大读者加深对这一方面的理解。In the process of learning “Ordinary Differential Equations”, we can find that many of them have certain applications in middle school mathematics, and many middle school mathematics problems can be solved by differential equations. This paper draws some theoretical basis on differential equations from the textbook “Ordinary Differential Equations” and summarizes the development of “Ordinary Differential Equations” and its specific application in middle school mathematics. It focuses on object cooling, water filling in pools, etc.;proving Euler’s trigonometric formula with differential equations;using differential equations to study the properties of curves and tangent problems;determining the essential characteristics of basic elementary functions and the application of constant variation method in middle school mathematics problem-solving, etc. Some of these methods and skills have a certain guiding role in improving the teaching ability of middle school mathematics teachers. In the main part of the article, some detailed examples are also used to let more readers understand differential equations and their specific applications in middle school mathematics so that readers can deepen their understanding of this aspect.
