Research on mathematical abstraction literacy in China
DOI:
https://doi.org/10.63214/piradian.v3i1.pp1-16Keywords:
High school students, Mathematical abstraction, Core literacyAbstract
Mathematical abstraction is the basic idea of mathematics, which is an important foundation for the formation of rational thinking, reflects the essential characteristics of mathematics, and permeates its generation, development, and application. The latest version of the general high school mathematics curriculum standard lists mathematical abstraction as the primary core literacy of the discipline, and mathematical abstraction literacy has become the focus of educational research. A number of scholars have researched mathematical abstraction literacy in senior high schools in China in recent years, but there is no literature that summarizes and compiles this aspect. This paper employs the literature analysis method to review and sort out the relevant literature on mathematical abstraction literacy and draws the following conclusions: (1) Previous research on mathematical abstraction literacy mainly contains five aspects, which are the connotation of mathematical abstraction, the current status quo of the level, the evaluation method, the influencing factors, and the strategies for the cultivation. (2) There are generally more studies on the connotation of mathematical abstraction, the current status of the level, and the cultivation strategy. However, in terms of influencing factors, the views in the existing literature are scattered, and no major influencing factors have been found. (3) The research methods are relatively single, with literature analysis or discursive methods predominating, especially the analysis of the influencing factors is not systematic and objective enough, lacks quantitative research for empirical evidence, and lacks targeted and practical cultivation strategies
References
An, L. P. (2019). Research on the influencing factors of high school students' mathematical abstraction literacy (Master’s thesis, Shandong Normal University). https://kns.cnki.net/kcms2/article/abstract?
Cai, H. T., & Lin, Y. L. (2019). Teaching strategies for high school mathematics concept courses under core literacy. Bulletin of Mathematics, 58(9), 20-25+66.
Chang, G. L. (2017). Guiding students to understand mathematical abstraction from an experimental perspective. Teaching and Management, (16), 46-48.
Chen, J. A., Yi, W. H., & Meng, S. Q. (2020). A case study of textbooks focusing on mathematical abstraction literacy: From the perspective of mathematical concept definition. Journal of Guangdong University of Education, 40(1), 46-52.
Chen, L. (2018). Thoughts on the penetration of mathematical core literacy in high school mathematics teaching. Popular Science (Science Education), (5), 27.
Cheng, H. (2021). Cultivating students' mathematical abstraction literacy through mathematical experiments: Taking the materials from the "Mathematics Laboratory" column in the Su-Ke edition as an example. Bulletin of Mathematics, 60(4), 35-37+66.
Deng, H. X., Wu, L. B., & Shen, J. (2019). A framework for textbook analysis and case study oriented to mathematical abstraction literacy: Taking the "Monotonicity of Functions" in the People’s Education Press A version as an example. Bulletin of Mathematics, 58(10), 33-38.
Dong, W., Zhu, L. M., & Jin, X. L. (2020). Exploration of the generation path of high school students' mathematical abstraction literacy. Journal of Tangshan Normal University, 42(6), 144-147.
Ge, W. L. (2020). Research on the relationship between high school students' mathematical metacognition and mathematical abstraction ability (Master’s thesis, Nanjing Normal University)
Handayani, S. (2019). Model Pembelajaran Speaking tipe STAD yang Interaktif Fun Game Berbasis Karakter. ponorogo: Uwais inspirasi Indonesia.
Hu, D. S., & Huang, S. T. (2024). Research on the influencing factors of junior high school students' mathematical core literacy: Based on a multilevel linear model analysis. Educational Measurement and Evaluation, (5), 3-14.
Hu, F. J., Bao, J. G., Ren, Z. C., & Chen, A. (2017). Case study on the evaluation of high school mathematics core literacy. China Examinations, (11), 10-16.
Jiang, H. F., Chen, W. X., Xie, Y. J., & Gong, W. (2022). Analysis of factors influencing the development of students' mathematical abstraction ability. Teaching and Management, (27), 93-95.
Jiang, S. S., & Li, L. (2019). On the cultivation and improvement of mathematical abstraction core literacy. Economist, (7), 183-184.
Jiang, Z. D. (2021). Characteristics, evaluation, and cultivation of mathematical abstraction in high school mathematics. Teaching and Management, (19), 62-64.
Kang, W. Y., & Liu, H. (2017). Several ways to cultivate students' mathematical abstraction core literacy. Education Exploration, (5), 38-41.
Kong, Y. T., & Guan, C. G. (2021). Exploration of the application strategies of high school mathematics classroom teaching language: From the perspective of improving students' core literacy. Basic Education Curriculum, (12), 42-48.
Li, F. P., & Zhang, D. (2022). Ways to improve high school students' mathematical abstraction literacy. Education Science Forum, (10), 52-55.
Li, H., & Li, L. (2020). A brief discussion on the cultivation of high school students' mathematical abstraction core literacy. Science Consult (Technology·Management), (10),186.
Li, W. (2019). On the cultivation of students' mathematical abstraction ability in high school mathematics classroom teaching: Taking the teaching of "Several Types of Extremum Problems Related to Straight Lines and Circles" as an example. Journal of Yanbian Education College, 33(5), 195-197.
Lin, X. T. (2019). Exploration of the new direction of high school mathematics teaching from the perspective of mathematical abstraction literacy. Asia-Pacific Education, (11), 110.
Liu, H. Z. (2019). The embodiment of mathematical abstraction literacy cultivation in high school classroom teaching. Journal of Yanbian Education College, 33(4), 162-164.
Liu, X. Y. (2017). Research on cultivating mathematical abstraction literacy in high school mathematics concept teaching (Master’s thesis, Central China Normal University).
Liu, Y. Y., & Wu, H. (2024). Research on cultivating high school students' core literacy of mathematical abstraction based on Geogebra. Neijiang Science and Technology, 45(3), 75-77+81.
Luo, Y. P. (2020). Analysis of the new direction of high school mathematics teaching from the perspective of mathematical abstraction literacy. Science & Technology Information, 18(17), 161-162.
Ma, B. X. (2020). Skillfully designing problem situations to improve students' mathematical abstraction ability: Taking the teaching design of logarithmic function concepts as an example. Science Consult (Technology·Management), (19), 180-181.
Ministry of Education of the People's Republic of China. (2020). Mathematics curriculum standards for senior high schools (2017 edition, revised in 2020) [S]. Beijing: People's Education Press. p. 83.
Ren, X. Y. (2019). Construction of high school mathematics classrooms based on core literacy cultivation. Huaxia Teacher, (27), 8-9.
Shi, N. Z. (2017). Cultivation and teaching of subject core literacy: Taking the cultivation of mathematics core literacy as an example. Primary and Secondary School Management, (1), 35-37.
Shi, N. Z. (2016). Promoting teaching reform based on subject core literacy. Primary and Secondary School Management, (2), 19-21.
Sun, C. R. (2019). Mathematical experiments: An effective path for the formation of mathematical abstraction literacy. Bulletin of Mathematics, 58(2), 21-25.
Qin, C., & Yan, Z. Q. (2019). Investigation and research on the current situation of high school students' mathematical abstraction literacy: A case study of high school students in Duyun City, Guizhou Province. Journal of Qiannan Normal University for Nationalities, 39(S1), 79-81+90.
Tang, S. Y. (2021). On the cultivation path of mathematical abstraction literacy. Bulletin of Mathematics, 60(10), 33-37.
Teng, F. (2019). A brief discussion on the cultivation of students' mathematical abstraction literacy. Journal of Yanbian Education College, 33(2), 147-148.
Wang, C. Y. (2012). Research on the meaning of mathematical symbols and the cultivation of acquisition ability (Doctoral dissertation, Central China Normal University).
Wang, D., & Li, B. M. (2017). Comparative analysis of TIMSS and PISA mathematics assessment frameworks. Global Education, 46(6), 20-34.
Wang, K. (2023). Strategies for cultivating high school students' mathematical abstraction literacy from the perspective of deep learning. Asia-Pacific Education, (16), 61-63.
Wang, K. M., Wang, Y. G., Liu, C. H., & Zhou, H. M. (2021). Investigation on the current situation of high school students' mathematical core literacy. Journal of Inner Mongolia Normal University (Educational Science Edition), 34(2), 126-132.
Wang, R. S., & Qiao, J. P. (1991). Practical encyclopedia [M]. Beijing: Kaiming Press. pp. 10, 12, 1040.
Xing, G. L. (2023). Influencing factors and improvement strategies of high school students' mathematical abstraction literacy. Classroom Inside and Outside (High School Teaching and Research), (9), 52-54.
Yin, R. Y., & Zhao, W. K. (2017). Investigation and research on the development of junior high school students' mathematical abstraction based on quality monitoring. Journal of Mathematics Education, 26(1), 14-15+63.
Yu, H. (2020). Research on the influencing factors and cultivation strategies of mathematical abstraction literacy among second-year high school students (Master’s thesis, Shaanxi Normal University).
Yu, P. (2017). A framework for the evaluation of mathematical core literacy. Journal of Mathematics Education, 26(2), 19-23+59.
Zhang, H. R., Wang, X. J., & Song, M. Z. (2017). Research and reflection on mathematical abstraction in China: A
bibliometric analysis based on literature from 1958 to 2016. Curriculum, Teaching Material and Method, 37(9), 79-84.
Zheng, X. J., Chen, Q. H., & Wang, C. P. (2017). Research on the current status of high school students' mathematical abstraction literacy level based on testing. Journal of Mathematics Education, 26(6), 26-32.
Zheng, Y. F., & Huang, F. Q. (2024). The eye of mathematics: Mathematical abstraction thought oriented to the "three competencies" literacy goal. Journal of Mathematics Education, 33(1), 59-63.
Zhou, X. H., & Xie, F. C. (2019). Teaching strategies for the structure and system of high school mathematics under the perspective of thematic teaching. Education Science Forum, (35), 76-80.
Zhu, M. (2021). Research on the relationship between CPFS structure and mathematical abstraction (Master’s thesis, Nanjing Normal University).
Zhu, X. Y., & Hu, D. S. (2020). An empirical study on the influencing factors of high school students' mathematical core literacy development level: Based on a survey analysis of 16 cities in Hubei Province. Educational Measurement and Evaluation, (2), 50-58.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Shiewei Tang, Jerito Pereira
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
![](https://pustakailmiah.id/wp-content/uploads/2025/04/rev-rev-Icon-Reviewer.png"){kind=icon}
