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Opening and Operation of ‘Mathematics for Machine Learning’, a Liberal Arts Course for Non-science and Engineering Students
In order to develop courses related to artificial intelligence and mathematics, this study provides plans for the composition and operation of courses related to artificial intelligence and mathematics in college general mathematics by analyzing the mathematics curriculum, artificial intelligence and mathematics-related research, and selecting learning elements and contents. The content needed to deal with the principles of artificial intelligence in mathematics is mainly related to calculus, probability and statistics, and linear algebra. Such mathematical learning content is one of the functions of artificial intelligence. Since it is necessary for analysis and expression, neural networks, clustering, unsupervised learning, and optimization, these contents must be included in artificial intelligence and mathematics-related courses in college general mathematics. In addition, in courses related to artificial intelligence and mathematics, it is difficult for students to learn various topics such as linear algebra and multi-variable calculus, which are essential as basic mathematics for understanding machine learning, all in one semester. Thus, in this study, I propose that we divide the course into two subjects, <Artificial Intelligence Mathematics 1> and <Artificial Intelligence Mathematics 2>, so that college students can select and take the courses according to their abilities and needs. Lastly, while theory-oriented classes are essential for understanding the principles of artificial intelligence in artificial intelligence and mathematics-related courses, applied learning is also crucial. This includes learning the basics of Python, a widely used programming language, for data analysis, data organization, and preprocessing. Additionally, applying these skills in real-life projects involving data analysis, artificial intelligence, and deep learning is necessary for comprehensive education.
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.
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.
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