A Case Study of the Diversity and Optimization of Mathematical Definitions and Symbolization
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 literac...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2023-01-01
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| Series: | SHS Web of Conferences |
| Online Access: | https://www.shs-conferences.org/articles/shsconf/pdf/2023/23/shsconf_seaa2023_02005.pdf |
| _version_ | 1797740154049265664 |
|---|---|
| author | Yang Jun Li Gaoping Zeng Li Liu Xiaoguang Zhang Jianhua Dai Wei Lei Yong |
| author_facet | Yang Jun Li Gaoping Zeng Li Liu Xiaoguang Zhang Jianhua Dai Wei Lei Yong |
| author_sort | Yang Jun |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T14:08:31Z |
| format | Article |
| id | doaj.art-39f3dea49d974f9083e513160ec8c552 |
| institution | Directory Open Access Journal |
| issn | 2261-2424 |
| language | English |
| last_indexed | 2024-03-12T14:08:31Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | SHS Web of Conferences |
| spelling | doaj.art-39f3dea49d974f9083e513160ec8c5522023-08-21T09:05:40ZengEDP SciencesSHS Web of Conferences2261-24242023-01-011740200510.1051/shsconf/202317402005shsconf_seaa2023_02005A Case Study of the Diversity and Optimization of Mathematical Definitions and SymbolizationYang Jun0Li Gaoping1Zeng Li2Liu Xiaoguang3Zhang Jianhua4Dai Wei5Lei Yong6College of Mathematics, Southwest Minzu UniversityCollege of Mathematics, Southwest Minzu UniversityCollege of Mathematics, Southwest Minzu UniversityCollege of Mathematics, Southwest Minzu UniversityCollege of Computer Science and Engineering, Southwest Minzu UniversitySchool of Reliability and Systems Engineering, Beihang UniversitySchool of International Chinese Culture, Chongqing Normal UniversityTaking 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.https://www.shs-conferences.org/articles/shsconf/pdf/2023/23/shsconf_seaa2023_02005.pdf |
| spellingShingle | Yang Jun Li Gaoping Zeng Li Liu Xiaoguang Zhang Jianhua Dai Wei Lei Yong A Case Study of the Diversity and Optimization of Mathematical Definitions and Symbolization SHS Web of Conferences |
| title | A Case Study of the Diversity and Optimization of Mathematical Definitions and Symbolization |
| title_full | A Case Study of the Diversity and Optimization of Mathematical Definitions and Symbolization |
| title_fullStr | A Case Study of the Diversity and Optimization of Mathematical Definitions and Symbolization |
| title_full_unstemmed | A Case Study of the Diversity and Optimization of Mathematical Definitions and Symbolization |
| title_short | A Case Study of the Diversity and Optimization of Mathematical Definitions and Symbolization |
| title_sort | case study of the diversity and optimization of mathematical definitions and symbolization |
| url | https://www.shs-conferences.org/articles/shsconf/pdf/2023/23/shsconf_seaa2023_02005.pdf |
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