Calculus Reform, Differential Equations And Engineering
Calculus Reform, Differential Equations And Engineering
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微积分改革、微分方程与工程
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
M. Ruane
中科院分区：
文献类型：
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作者：
M. Ruane
在20世纪90年代的大部分时间里，国家科学基金资助了微积分新的教学方法、教科书和教材的开发，包括软件。这样做是为了回应数学家以及客户学科的科学家和工程师的担忧，他们认为学生们没有为进一步学习微积分应用程序做好充分准备。微积分改革运动极大地改变了微积分的教与学，并一直是数学界讨论的话题。微积分改革在工程学教师中往往鲜为人知。波士顿大学的三名数学教师开发了一门“改革”的微分方程式课程、教科书和计算机实验室，将工程应用、建模和行话融入到不同寻常的程度。他们的系统方法后来在研讨会上传播给数学界。在这些研讨会上，数学教授们的一个共同主题是：我们不与工程师交谈--他们甚至不知道我们的教学方式不同！微积分改革，包括波士顿大学的NSF微分方程项目，强调使用图形解、数值解和符号解，以及关于数学、发现学习和基于团队的学习的写作。本次讲座将描述这些要素，并讨论围绕课程改革加强数学和工程之间合作的可能性。
Through much of the 1990’s, the National Science Foundation supported the development of new pedagogical methods, textbooks, and teaching materials, including software, for calculus. This was done in response to concerns from mathematicians, and from scientists and engineers in client disciplines who believed students were not being well prepared for further study with calculus applications. The ’calculus reform’ movement has significantly changed the teaching and learning of calculus where it is implemented and has been a constant topic of discussion in the mathematics community. Calculus reform is often unknown among engineering faculty. Three Boston University mathematics faculty developed a ’reform’ differential equations course, textbook, and computer labs, incorporating an unusual degree of engineering applications, modeling and jargon. Their systems approach was later disseminated in workshops to the math community. In those workshops, a common theme from the math professors was ’we don’t talk with the engineers--they don’t even know that we’re teaching differently!’ Calculus reform, including the NSF differential equations project at Boston University, emphasizes using graphical solutions, numerical solutions, and symbolic solutions, as well as writing about mathematics, discovery learning, and team-based learning. This talk will describe these elements and discuss the possibilities for closer collaboration between mathematics and engineering around reform of the curriculum.