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Testing students ability to use derivatives, integrals, and vectors in a purely mathematical context and in a physical context
Physical Review Physics Education Research ( IF 3.1 ) Pub Date : 2020-03-19 , DOI: 10.1103/physrevphyseducres.16.010111
Marta Carli , Stefania Lippiello , Ornella Pantano , Mario Perona , Giuseppe Tormen

In this article, we discuss the development and the administration of a multiple-choice test, which we named Test of Calculus and Vectors in Mathematics and Physics (TCV-MP), aimed at comparing students’ ability to answer questions on derivatives, integrals, and vectors in a purely mathematical context and in the context of physics. The comparison between the two contexts was achieved by using parallel (isomorphic) questions in mathematics and physics. The final version of the test contains 34 items (17 in a purely mathematical context and 17 in the context of physics) involving different representations (graphs, words, numbers, and formal expressions) of the concepts covered by the test. The test was administered in Spring 2018 to 1252 first-year students enrolled in 23 different degree programs of the School of Science and the School of Engineering of the University of Padua. We assessed the validity, reliability, and discriminatory power of the test both as a whole and at the single-item level, obtaining values within the desired ranges. The analysis of students’ answers to individual items and the comparison between parallel mathematics and physics items provides insights into the factors that affect students’ ability to use derivatives, integrals, and vectors in the context of introductory physics. We believe that the instrument we have developed can be useful not only for research purposes, but also for instructors and for students.

中文翻译:

测试学生在纯数学环境和物理环境中使用导数,积分和向量的能力

在本文中,我们讨论了多项选择测试的开发和管理,我们将其命名为“数学和物理微积分和矢量测试”。(TCV-MP),旨在比较学生在纯数学上下文和物理上下文中回答有关导数,积分和矢量的问题的能力。通过在数学和物理学中使用平行(同构)问题,可以实现两个上下文之间的比较。该测试的最终版本包含34个项目(在纯数学上下文中为17个项目,在物理上下文中为17个项目),涉及测试所涵盖的概念的不同表示形式(图形,单词,数字和形式表达)。该考试于2018年春季对1252名一年级学生进行了测试,这些学生报名参加了帕多瓦大学理学院和工程学院的23个不同学位课程。我们评估了整个测试和单项测试的有效性,可靠性和区分能力,获得所需范围内的值。通过对学生对单个项目的答案进行分析以及对并行数学和物理项目进行比较,可以洞悉影响学生在入门物理学中使用导数,积分和矢量的能力的因素。我们相信,我们开发的工具不仅可以用于研究目的,还可以用于指导教师和学生。
更新日期:2020-03-19
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