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首页> 外文期刊>PRIMUS: problems, resources, and issues in mathematics undergraduate studies >What is Old is New Again: A Systemic Approach to the Challenges of Calculus Instruction
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What is Old is New Again: A Systemic Approach to the Challenges of Calculus Instruction

机译：什么是旧的是新的：一个系统的对微积分教学挑战的方法

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摘要

In the abstract for Calculus for a New Century: A Pump, Not a Filter, Lynn Steen wrote: "The authors agree on the forces that are reshaping calculus, but disagree on how to respond to these forces. They agree that the current course is not satisfactory, yet disagree about new content emphases. They agree that the neglect of teaching must be repaired, but do not agree on the most promising avenues for improvement." Over a quarter century later, Steen's description of the calculus landscape applies equally well, though some of the forces shaping it have changed. Students still arrive at their colleges and universities with marginal backgrounds in mathematics, but today those backgrounds frequently include a course called calculus. And while in 1988 technology was widely viewed as a tool for enhancing student understanding, today it is often used by students as a crutch to get answers while avoiding, or just failing to comprehend their lack of, understanding. In this paper we describe a systemic, institutional approach to addressing the challenges facing calculus instruction today, an approach which is rooted in the University of Michigan's experience over the last 25 years, starting with the implementation of "reformed calculus" in the early-1990s.We reflect on the ways in which Michigan's approach is successful in managing emerging challenges, and consider some areas in which further work is still needed.
机译：在新世纪的模数的摘要中：一个泵，不是过滤器，林恩斯汀写道：“作者同意重塑微积分的力量，但不同意如何应对这些力量。他们同意当前的课程不满意，但新内容重点不同意。他们同意忽视教学必须得到修复，但不同意最有前途的改善途径。“在四分之一世纪之后，Steen对微积分景观的描述同样适用，尽管它的一些力塑造了它已经改变。学生仍然抵达他们的大学和大学，在数学中有边缘背景，但今天这些背景经常包括一个名为微积分的课程。虽然在1988年的技术被广泛被视为加强学生理解的工具，但今天它通常被学生用作拐杖在避免时获得答案，或者只是未能理解他们缺乏，理解。在本文中，我们描述了一个系统，制度的制度方法，以解决积分教育的挑战，这是一个在过去25年中密歇根州大学的方法，从20世纪90年代初期实施“改革微积分” 。我们反思了密歇根州的方法在管理新出现的挑战方面取得成功的方式，并考虑仍然需要进一步工作的一些领域。

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