| Issue |
SHS Web of Conf.
Volume 174, 2023
2023 2nd International Conference on Science Education and Art Appreciation (SEAA 2023)
|
|
|---|---|---|
| Article Number | 02005 | |
| Number of page(s) | 4 | |
| Section | Digital Media Technology and Art Appreciation | |
| DOI | https://doi.org/10.1051/shsconf/202317402005 | |
| Published online | 11 August 2023 | |
A Case Study of the Diversity and Optimization of Mathematical Definitions and Symbolization
1 College of Mathematics, Southwest Minzu University, Chengdu, China
2 College of Computer Science and Engineering, Southwest Minzu University, Chengdu, China
3 School of Reliability and Systems Engineering, Beihang University, Beijing, China
4 School of International Chinese Culture, Chongqing Normal University, Chongqing, China
* junyang898@163.com
a pinggaoli@163.com
b lzeng@126.com
c 21700128@swun.edu.cn
d xnmdzjh@swun.edu.cn
e dw@buaa.edu.cn
f 2356868054@qq.com
Taking the idea of “reflective and critical optimization thinking”, this article first examines “the outlook on development of big mathematics” in International Mathematics Day in 2003 from the perspective of the history of mathematics. Then according to the requirements of mathematical core literacy and mathematical beauty, a deep analysis is conducted on the limitations of the teaching methods in the Turing mathematics and statistics series “Terence Tao Analysis”. The case study shows that (1) the sets, relations, functions and operations present a concentric circle relationship of layer-by-layer proper subsets; (2) rejecting mathematical notation damages the beauty of simplicity and learning efficiency; and (3) forcing the first mapping function to be a surjection unnecessarily limits the wider range of applications that composite functions can have, and it lacks the unified beauty of mathematical definitions. Finally, itemized strategies and suggestions for improvement and optimization are proposed.
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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