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Using Engineering Courses to Improve Pre-Calculus Students' Success

机译:使用工程课程改善微积分前学生的成功

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Many engineering students are not ready to take Calculus their first semester at Michigan Tech and are unable to participate in the First Year Engineering program at that time. To prepare them for their first year experience and to enable them to take an "engineering" course during their first semester, an introductory engineering class, Engineering and Science Applications in Pre-Calculus (ENG1001) was pilot tested Spring 2001 and refined and expanded in Fall 2001 and Fall 2002. Because students are enrolled in Pre-Calculus and ENG1001 at the same time, the ENG1001 course material parallels the topics that are being covered in Pre-Calculus. In addition to coupling ENG1001 with Pre-Calculus, another objective of this course is to prepare the students to succeed in their future engineering courses. Students work in three-person teams on class assignments, lab reports, homework assignments, technical presentations and a design project. Topics are introduced that will be used and expanded upon in the first-year engineering program. Hands-on experiments are used to illustrate engineering principles and to obtain data for analysis. Students solve algebraic and trigonometric engineering equations using a spreadsheet and they receive instruction on how to logically outline and solve engineering problems using a five step method (Read, Find, Known, Solve and Check) as outlined in their Pre-Calculus text. Within one semester, these students make the transition from not knowing how to even start an engineering problem to being able to adequately communicate a solution process. This paper outlines some of the projects students completed and how students applied engineering tools and mathematical concepts to their solution. In addition, it shows how student performance was enhanced in Pre-Calculus and Calculus as well as in their subsequent engineering course.
机译:许多工程学生尚未准备好在密歇根理工学院的第一学期进行微积分,并且无法在当时参加第一年的工程计划。为他们的第一年的经验做好准备,并使他们在第一学期举办“工程”课程,在微积分(ENG1001)中的介绍工程类,工程和科学应用是2001年春季的试点,并精制和扩展2001年秋季和2002年秋季。由于学生同时参加了前计算前和ENG1001,ENG1001课程材料相似于预算中覆盖的主题。除了使用前计算的ENG1001耦合外,本课程的另一个目的是准备学生在未来的工程课程中取得成功。学生在三人团队上工作,实验室报告,家庭作业分配,技术演示和设计项目。介绍了将在第一年工程计划中使用和扩展的主题。使用实践实验用于说明工程原则并获得分析数据。学生使用电子表格解决代数和三角工程方程,并使用五步方法(读取,查找,已知,解决和检查)在逻辑上概述和解决工程问题的指令,如他们的前微积分术中所述。在一个学期内,这些学生从不知道如何开始工程问题以便能够充分传达解决方案过程。本文概述了一些项目学生完成以及学生如何应用工程工具和数学概念的解决方案。此外,它表明了学生表现如何在微积分和微积分中提高,以及其后续工程课程。

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