Research on Visualizationization of University Mathematics Curriculum in Applied Undergraduate Institutions under the Background of New Liberal Arts
DOI: https://doi.org/10.62517/jhet.202515145
Author(s)
Qijian Li
Affiliation(s)
Ningbo University of Finance and Economics, Ningbo, Zhejiang 315375, China
Abstract
This paper analyzes the characteristics of students and university mathematics courses in applied undergraduate institutions. It proposes that by using powerful numerical, symbolic, and graphical capabilities of mathematical software such as Matlab and the Geometer's Sketchpad, mathematical concepts, theorems, and calculations in university mathematics courses can be visualizationization. This visualizationization process can transform abstract, complex, and tedious mathematical knowledge and methods into more concrete, vivid, and intuitive forms, presenting them dynamically and instantaneously. This approach not only enhances the students' sense of the reality of knowledge but also helps them discover the beauty of mathematics. It effectively reduces the difficulty of understanding key concepts and increases students' interest in learning mathematics, thereby further improving the quality of university mathematics teaching. Additionally, it helps students develop skills in using mathematical software, which significantly promotes their overall mathematical literacy. This study also provides a reference for applied undergraduate institutions in building new teaching concepts and models.
Keywords
University Mathematics; Matlab; Geometer's Sketchpad; Visualizationization
References
[1]Xu Dinghua, Liu Dan, Liu Keji. Discussion on Visualization Teaching Design of Analytical Mathematics Course. University Mathematics, 2022(8): 44-51.
[2]Kong Xiangqiang, Liu Xiuying. Application of Dynamic Visualizationization Function of Maple Software in University Mathematics Teaching. Journal of Jianghan University, 2018(4): 130-135.
[3]Wang Qiang, Shen Yongmei, Tu Qingwei. Exploration and Practice of University Mathematics Teaching Reform and Application Ability Cultivation. Journal of Higher Education, 2015(21): 138-139.
[4]Sun Xin, Feng Yan, Wu Zhidan, Wang Tao. Application of Visualization Effect of MATLAB Software in University Mathematics. Journal of Shenyang Normal University, 2014(4): 549-552.
[5]Liu Yanqin. Application of Visualization Teaching in Research Teaching of University Mathematics. Journal of Yulin College, 2012(3): 55-57.
[6]Li Muhua, Jia Liping. Exploration and Practice of Visualization Teaching of Mathematics in University of Arts. Journal of Jiamusi Education Institute, 2012(11): 6-7.
[7]Huang Liqiong, Wang Yuanyuan, Yang Yan. Research on University Mathematics Teaching under the Idea of Wisdom Education. Heilongjiang Science, 2019, 10(3): 16-17.
[8]Zhu Hanmin. Application of Matlab in Higher Mathematics Teaching. Computer Aided Engineering, 2004(2).
[9]Ping Yi. Application of Matlab in University Mathematics Teachin. Journal of Hubei Radio and Television University, 2008, 28(4): 135-136.
[10]Li Kun, Zhao Gang. Application of Mathematical Experiment in Higher Mathematics Teaching. Science and Technology Information, 2011, (23): 452-453.