A Longitudinal Study of the C 4 L Calculus Reform Program : Comparisons of C 4 L and Traditional Students
A Longitudinal Study of the C 4 L Calculus Reform Program : Comparisons of C 4 L and Traditional Students
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C 4 L 微积分改革计划的纵向研究：C 4 L 和传统学生的比较
DOI：
10.1090/cbmath/008/04
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发表时间：
2000
影响因子：
--
通讯作者：
J. Kuhn
中科院分区：
文献类型：
--
作者：
Keith Schwingendorf;G. McCabe;J. Kuhn
本文介绍了一个纵向统计研究的结果，其中比较谁教微积分入门课程的学生使用微积分，概念，计算机和合作学习（C4L）的教学方法和传统的方式（TRAD）教的学生。在这项研究中考虑的两个基本的，相关的问题是：·哪个程序，C4L或TRAD，提供了一个学生更好地理解所需的微积分概念？·C4L或TRAD哪个课程更能激励学生进一步学习微积分或更一般的数学？这项研究的结果有利于C4L程序的TRAD程序。例如，一方面，C4L学生在微积分课程中获得更高的成绩;事实上，平均比TRAD学生高出近半个年级。另一方面，例如，它被发现的C4L的学生是准备的TRAD的学生，但不是更多，为微积分程序以外的数学课程。在对C4L程序进行了一些讨论之后，本文描述了用于执行两种教学方法之间的比较的统计模型，然后给出了这种统计分析的结果。本文报告了C4L演算程序评估的一个阶段，这是一个基于统计模型的定量评估，该模型类似于一些健康研究中使用的模型（例如，二手烟与癌症关系的研究）和工业研究（例如，研究全面质量管理概念对生产力和员工满意度的影响），这些研究本质上是观察性的。C4L评估的另一个阶段涉及C4L和TRAD学生的定性研究。这项研究得到了国家科学基金会赠款# USE-9053432和# DUE-9450750的部分支持。2000年美国数学学会American Mathematical Society
This paper presents the results of a longitudinal statistical study in which comparisons are made between students who were taught introductory calculus courses using the Calculus, Concepts, Computers and Cooperative Learning (C4L) pedagogical methodology and students taught in the traditional way (TRAD). Two basic, related, questions considered in this study are: • Which program, C4L or TRAD, provides a student with a better understanding of the required calculus concepts? • Which program, C4L or TRAD, better inspires students to pursue further study in calculus or, more generally, mathematics? The results of this study favor the C4L program over the TRAD program. On the one hand, for example, it is found the C4L students earn higher grades in calculus courses; in fact, almost half a grade higher, on average, than the TRAD students. On the other hand, for example, it is found the C4L students are as prepared as the TRAD students, but not more so, for mathematics courses beyond the calculus program. After some discussion of the C4L program, the paper describes the statistical model used to perform the comparison between the two teaching methods and then presents the results of this statistical analysis. This paper reports on one phase of the evaluation of the C4L calculus program, a quantitative evaluation based on a statistical model which is similar to that used in some health studies (e.g., studies on the relationship between second-hand smoke and cancer) and industrial studies (e.g., studies of the effects of the notion of Total Quality Management as related to productivity and employee satisfaction) which are observational in nature. The other phase of the C4L evaluation involves qualitative research studies involving both C4L and TRAD students. This research has been partially supported by the National Science Foundation grants # USE-9053432 and # DUE-9450750. c ©2000 American Mathematical Society