Differences in the use of electronic and printed versions of a university mathematics workbook

Klára Vocetková, M. Šulista
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Abstract

The recent months have shifted contact teaching to the online environment and distance learning and students are dealing more and more with digital materials in various e-learning systems. The question is whether the online electronic materials are as effective as their printed versions for the students using them for self-study purposes. This paper presents research focusing on university students' work with an electronic and printed version of a mathematics workbook. The main research focuses on differences regarding error rate, the number of used hints, and the time they need to spend to solve 111 mathematical problems covering four topics of their introductory course of Mathematics such as limits, graphs, differentiation, and applications of derivatives. One hundred fifty-seven university students participated in the research working with sets of mathematical problems with multi-choice answers taken from the Khan Academy, including step-by-step hints. At the same time, the students were recording their errors, time, and the number of used hints using a questionnaire. The electronic sets were transformed into an electronic workbook and afterward into a printed version of this workbook. Obtained data were analysed using the Random Mixed Model as it enables to mix the used mathematical problems with different variance. The most exciting finding of this research was that the students working with the electronic version of the workbook work significantly faster but at the expense of errors. Students working with the interactive version of the workbook used significantly fewer hints.
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大学数学练习册电子版和印刷版的使用差异
近几个月来,接触式教学已经转向在线环境和远程学习,学生们越来越多地在各种电子学习系统中处理数字材料。问题是,对于那些自学的学生来说,在线电子材料是否和印刷材料一样有效。本文提出了研究的重点是大学生的工作与电子和印刷版本的数学练习册。主要研究集中在错误率、使用提示的数量和他们需要花时间来解决111个数学问题,这些问题涵盖了他们数学入门课程的四个主题,如极限、图、微分和导数的应用。157名大学生参与了这项研究,他们处理了一组数学问题,这些问题的多选题答案来自可汗学院,包括一步一步的提示。与此同时,学生们用一份问卷记录他们的错误、时间和使用提示的次数。这些电子集被转换成一个电子工作簿,然后被转换成这个工作簿的印刷版本。获得的数据使用随机混合模型进行分析,因为它可以混合使用不同方差的数学问题。这项研究最令人兴奋的发现是,使用电子版练习册的学生工作速度明显加快,但代价是错误的增加。使用互动版练习簿的学生使用的提示明显更少。
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