Analysis of Research Trends on General Mathematics at Universities : Focusing on Papers Published in Korean Journals Over the Past 10 Years

Sangkil Shim
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Abstract

In this study, in order to provide a developmental discussion on general mathematics in universities and the direction for follow-up research, research trends were examined for papers published in Korean domestic academic journals over the past 10 years. The results of the research are as follows: First, among studies related to mathematics education and general education, research on general mathematics in universities is severely lacking. Considering that nearly all universities offer courses related to general mathematics, professors and researchers responsible for general mathematics should dedicate more attention to research on general college mathematics. Second, concerning the subjects and content areas of mathematics, research on general mathematics shows a bias towards basic general mathematics for science and engineering students. Therefore, there is a need for research on basic general mathematics for students in the humanities and social sciences, as well as research on pure general mathematics applicable to all students. Third, there is a lack of research on evaluation and educational technology in the field of general mathematics. Evaluation plays a crucial role in education, and it is important to conduct research on the evaluation of general mathematics and the utilization of educational technology, especially considering the increasing emphasis on the use of various technological tools in mathematics education. Fourth, in terms of research methods, the majority of studies focus on quantitative research. Therefore, it is necessary to employ diverse research methods that are suitable for the teaching and learning environment of general mathematics. Fifth, concerning the research topic on teaching and learning, while there have been numerous studies targeting science and engineering students, there is a need for a variety of studies on teaching and learning that encompass all students, including those in the humanities and social sciences, as well as the professors themselves.
大学普通数学研究趋势分析——以近10年韩国期刊论文为例
本研究旨在探讨普通数学在大学的发展趋势及后续研究的方向,分析近10年来在国内学术期刊发表的论文。研究结果如下:第一,在数学教育与通识教育的相关研究中,对高校通识数学的研究严重缺失。考虑到几乎所有的大学都开设与普通数学相关的课程,负责普通数学的教授和研究人员应该更多地关注大学普通数学的研究。第二,关于数学的学科和内容领域,一般数学的研究显示出对理工科学生的基础一般数学的偏见。因此,既需要研究人文社会科学专业学生的基础普适数学,也需要研究适用于所有学生的纯粹普适数学。第三,普通数学领域的评价与教育技术研究缺乏。评价在教育中起着至关重要的作用,特别是考虑到越来越重视在数学教育中使用各种技术工具,对普通数学的评价和教育技术的利用进行研究是很重要的。第四,在研究方法上,多数研究以定量研究为主。因此,有必要采用多种适合普通数学教与学环境的研究方法。第五,关于教与学的研究课题,虽然已经有很多针对理工科学生的研究,但需要各种针对所有学生的教与学的研究,包括人文社会科学的学生,以及教授本人。
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