创新创业理论研究与实践 ›› 2020, Vol. 3 ›› Issue (24): 65-67.

• 教学革新 • 上一篇    下一篇

以学生为中心视角下导数应用的教学设计

程薇薇   

  1. 齐齐哈尔工程学院数学教研室,黑龙江齐齐哈尔 161005
  • 出版日期:2020-12-25 发布日期:2021-03-15
  • 作者简介:程薇薇(1982,1-),女,吉林辽源人,硕士,研究方向:矩阵代数。
  • 基金资助:
    省教育厅教改项目,课题名称:应用型本科提高高等数学课程有效性的探究(编号:SJ-GY20180342);齐齐哈尔工程学院项目“以学生为中心的高等数学课程线上线下混合教学模式探究"(项目编号:2020ZX023)

Teaching Design of Derivative Application from the Perspective of Student-centered

CHENG Weiwei   

  1. Mathematics Teaching and Research Section,Qiqihar Institute of Engineering,Qiqihar Heilongjiang,161005,China
  • Online:2020-12-25 Published:2021-03-15

摘要: 在生活中人们会遇到很多问题,需要用数学思想及方法去解决,为了更好地体现数学的应用性,教师可以在教学时以学生为主导,将数学模型引入实际生活或专业中,从而教会学生解决实际问题的方法。该文主要探讨在高等数学教学中,如何运用导数来解决与专业和生活密切相关的最优化问题,以调动学生的积极性。在教学过程中通过对这些实际案例的分析,引导学生探索行之有效的解决方法并推广应用,以培养学生应用数学知识解决问题的能力。

关键词: 最优化, 数学模型, 导数, 目标函数

Abstract: In life, people will encounter a lot of problems, which need to be solved with mathematical ideas and methods. In order to better reflect the applicability of mathematics, teachers can take students as the leading role in teaching, introduce mathematical models into real life or major, so as to teach students how to solve practical problems. This paper mainly discusses how to use derivative to solve the optimization problem which is closely related to the major and life in higher mathematics teaching, so as to arouse the enthusiasm of students. In the teaching process, through the analysis of these practical cases, we can guide students to explore effective solutions and popularize them to cultivate students' ability to solve problems by applying mathematical knowledge.

Key words: Optimization, Mathematical model, Derivative, Objective function

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