以高等数学课程中的“微分方程的概念及可分离变量方程”内容为例,深入探究了以“学思用”数学思维进阶为主线的教学创新设计。对教学内容进行重构,融入思政元素,采用案例式教学,通过线上至线下、自学至互学、低阶至高阶、理论至应用的...以高等数学课程中的“微分方程的概念及可分离变量方程”内容为例,深入探究了以“学思用”数学思维进阶为主线的教学创新设计。对教学内容进行重构,融入思政元素,采用案例式教学,通过线上至线下、自学至互学、低阶至高阶、理论至应用的有机转化,有效提升学生高阶数学思维的培养。Taking “the concept of differential equations and separable variable equations” in advanced mathematics courses as an example, this study explores in depth the innovative design of teaching that focuses on the advancement of mathematical thinking through “learning, thinking, and application”. Refactoring the teaching content, incorporating ideological and political elements, adopting case-based teaching, and effectively enhancing the cultivation of students’ higher-order mathematical thinking through the organic transformation from online to offline, self-learning to mutual learning, low-level to high-level, and theory to application.展开更多
随着信息技术的快速发展,在线教学已成为高等教育领域的重要组成部分。高等数学作为理工科类本科生必修的基础课程,其在线教学设计和实施对于提高教学质量和学习效果至关重要。文章旨在探讨高等数学在线教学的设计与实施策略,包括教学...随着信息技术的快速发展,在线教学已成为高等教育领域的重要组成部分。高等数学作为理工科类本科生必修的基础课程,其在线教学设计和实施对于提高教学质量和学习效果至关重要。文章旨在探讨高等数学在线教学的设计与实施策略,包括教学目标的确立、教学内容的组织、教学方法的选择、教学资源的开发、评价方法的创新等,并在此基础上实施在线教学过程,在教学实践中通过教学反思和学生反馈机制进一步改进和优化教学设计,进而逐步提高高等数学课程在线教学的效果。With the rapid development of information technology, online teaching has become an important component of higher education. As a compulsory foundational course for undergraduate students in engineering and science majors, the design and implementation of online teaching for advanced mathematics are crucial for improving teaching quality and learning outcomes. This paper aims to explore the design and implementation strategies for online teaching of advanced mathematics, including the establishment of teaching objectives, the organization of teaching content, the choices of teaching methods, the development of teaching resources, and the innovation of evaluation methods. Based on these strategies, the online teaching process is implemented. Through teaching reflection and student feedback mechanisms in the teaching practice, the teaching design is continuously improved and optimized, ultimately enhancing the effectiveness of online teaching for advanced mathematics courses.展开更多
文摘以高等数学课程中的“微分方程的概念及可分离变量方程”内容为例,深入探究了以“学思用”数学思维进阶为主线的教学创新设计。对教学内容进行重构,融入思政元素,采用案例式教学,通过线上至线下、自学至互学、低阶至高阶、理论至应用的有机转化,有效提升学生高阶数学思维的培养。Taking “the concept of differential equations and separable variable equations” in advanced mathematics courses as an example, this study explores in depth the innovative design of teaching that focuses on the advancement of mathematical thinking through “learning, thinking, and application”. Refactoring the teaching content, incorporating ideological and political elements, adopting case-based teaching, and effectively enhancing the cultivation of students’ higher-order mathematical thinking through the organic transformation from online to offline, self-learning to mutual learning, low-level to high-level, and theory to application.
文摘随着信息技术的快速发展,在线教学已成为高等教育领域的重要组成部分。高等数学作为理工科类本科生必修的基础课程,其在线教学设计和实施对于提高教学质量和学习效果至关重要。文章旨在探讨高等数学在线教学的设计与实施策略,包括教学目标的确立、教学内容的组织、教学方法的选择、教学资源的开发、评价方法的创新等,并在此基础上实施在线教学过程,在教学实践中通过教学反思和学生反馈机制进一步改进和优化教学设计,进而逐步提高高等数学课程在线教学的效果。With the rapid development of information technology, online teaching has become an important component of higher education. As a compulsory foundational course for undergraduate students in engineering and science majors, the design and implementation of online teaching for advanced mathematics are crucial for improving teaching quality and learning outcomes. This paper aims to explore the design and implementation strategies for online teaching of advanced mathematics, including the establishment of teaching objectives, the organization of teaching content, the choices of teaching methods, the development of teaching resources, and the innovation of evaluation methods. Based on these strategies, the online teaching process is implemented. Through teaching reflection and student feedback mechanisms in the teaching practice, the teaching design is continuously improved and optimized, ultimately enhancing the effectiveness of online teaching for advanced mathematics courses.
