A learning system for matrix operations by interactive drilling

Chisato Tada, Naoya Wada, K. Kaneko
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Abstract

In this study, we have designed and implemented a Web-based learning system for matrix operations to fill in the gap between the curricula of high schools and scientific or engineering universities in Japan. The system is based on drilling and it provides remedial education so that freshmen in scientific or engineering universities in Japan are able to acquire knowledge required for university education. The system consists of two sub parts, textbook and drilling. The former is for teaching the definitions related to matrices and operations defined on matrices to students while the latter is for teaching rules of the operations to the students. We have carried out a small evaluation experiment with ten participants who are all students in arts faculties of universities and have not learned matrices in high schools nor in universities. From the result of the experiment, we observed that the system has equivalent learning effect to the paper-based learning. Furthermore, from the answers of a questionnaire, the participants who learned by our system are affirmative for using the system to learn matrix operations.
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交互式钻取矩阵运算的学习系统
在这项研究中,我们设计并实现了一个基于网络的矩阵运算学习系统,以填补日本高中课程与科学或工程大学课程之间的空白。该系统以训练为基础,提供补习教育,使日本理工科大学的新生能够获得大学教育所需的知识。该系统由教材和实训两部分组成。前者用于向学生讲授矩阵的相关定义和在矩阵上定义的运算,后者用于向学生讲授运算规则。我们对10名参与者进行了一项小型评估实验,他们都是大学艺术系的学生,没有在高中或大学学习过矩阵。实验结果表明,该系统具有与纸质学习相当的学习效果。此外,从问卷的回答来看,系统学习的参与者对使用系统学习矩阵运算持肯定态度。
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