改革工科学生一年级微积分教学--具体领域的例子、问题和考试
Transforming First-Year Calculus Teaching for Engineering Students -- Blocks with Field Specific Examples, Problems, and Exams
摘要：
出资额：我们证明，它是可行的，包括领域的具体问题，数学导论课程，以激励工程专业的学生。这样做的方式仍然允许课程的大部分内容对所有学生都是共同的，确保经济可行性。背景：许多一年级的工程专业学生认为数学课程过于抽象，远离他们选择的学习计划。这可能会导致缺乏动力和努力，从而降低学习成果。预期结果：工程专业的学生认识到微积分和线性代数课程与他们未来在特定领域的工作有关。这是为了提高他们的学习成果。应用设计：这些课程已被重组为更小的子单元，每个子单元都有一个相应的讲习班，处理特定学生群体特定领域的现实问题。这些讲习班是与相关研究领域协商制定的，它们在课程中发挥着突出的作用，例如作为口试的基础。调查结果：根据学生的反馈，我们发现，列入具体领域的问题，有助于突出数学在工程中的适用性和重要性。然而，在实施这种解决方案时，需要记住一些挑战。
英文摘要：
Contribution: We demonstrate that it is feasible to include field specific problems in introductory mathematics courses to motivate engineering students. This is done in a way that still allows large parts of the course to be common to all students, ensuring economic viability. Background: Many first-year engineering students perceive mathematics courses as being too abstract and far from their chosen study programme. This may lead to a lack of motivation and effort, thus decreasing the learning outcomes. Intended outcomes: That engineering students recognize that the calculus and linear algebra courses are relevant for their future work within their specific field. This is intended to improve their learning outcomes. Application design: The courses have been restructured into smaller subunits, each of which has a corresponding workshop treating a real-world problem from the specific field of a given group of students. These workshops are developed in consultation with the relevant fields of study, and they are given a prominent role in the course for instance by forming the basis for the oral exams. Findings: Based on the feedback from students, we find that inclusion of field specific problems does help to highlight the applicability and importance of mathematics in engineering. When implementing such a solution, however, there are a number of challenges to keep in mind.
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