Research on Organization of Mathematics Knowledge in Good Mathematical Cognitive Structure

Zezhong Yang; Ming Zhu; Zhaohua Qu; Yanqing Zhang

doi:10.12973/ejmste/78242

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Zezhong Yang ¹ ^* , Ming Zhu ¹, Zhaohua Qu ¹, Yanqing Zhang ¹

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¹ Shandong Normal University, CHINA^* Corresponding Author

Abstract

This research adopted the method of network data analysis, chose 31 senior high school first-grade outstanding students as participants and 44 concepts about trigonometric function as materials, analyzed the organization of mathematics knowledge in good mathematical cognitive structure (GMCS) with the help of software Ucinet. The results indicated: (1) The connections between the concepts in GMCS were more extensive, especially those connections with higher tightness degree. (2) Most connections in GMCS were direct. (3) There were more abstract concepts as accumulation points connecting with others. (4) There were a number of concrete and frequently used concepts connecting with others directly. Therefore, the mathematics teachers should help students to construct extensive and direct connections between mathematics knowledge in their mind. These new findings expanded and deepened the current research about mathematical cognitive structure(MCS), pointed out the direction and target for educators helping their students form GMCS. Meanwhile, this research demonstrated the network data analysis method was feasible and valuable to analyze mathematics psychological issues.

Keywords

cognitive structure
mathematics knowledge
organization
connection

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, 2018, Volume 14, Issue 1, 291-302

https://doi.org/10.12973/ejmste/78242

Publication date: 06 Nov 2017

Online publication date: 05 Oct 2017

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How to cite this article

APA

Yang, Z., Zhu, M., Qu, Z., & Zhang, Y. (2018). Research on Organization of Mathematics Knowledge in Good Mathematical Cognitive Structure. Eurasia Journal of Mathematics, Science and Technology Education, 14(1), 291-302. https://doi.org/10.12973/ejmste/78242

Vancouver

Yang Z, Zhu M, Qu Z, Zhang Y. Research on Organization of Mathematics Knowledge in Good Mathematical Cognitive Structure. EURASIA J Math Sci Tech Ed. 2018;14(1):291-302. https://doi.org/10.12973/ejmste/78242

AMA

Yang Z, Zhu M, Qu Z, Zhang Y. Research on Organization of Mathematics Knowledge in Good Mathematical Cognitive Structure. EURASIA J Math Sci Tech Ed. 2018;14(1), 291-302. https://doi.org/10.12973/ejmste/78242

Chicago

Yang, Zezhong, Ming Zhu, Zhaohua Qu, and Yanqing Zhang. "Research on Organization of Mathematics Knowledge in Good Mathematical Cognitive Structure". Eurasia Journal of Mathematics, Science and Technology Education 2018 14 no. 1 (2018): 291-302. https://doi.org/10.12973/ejmste/78242

Harvard

Yang, Z., Zhu, M., Qu, Z., and Zhang, Y. (2018). Research on Organization of Mathematics Knowledge in Good Mathematical Cognitive Structure. Eurasia Journal of Mathematics, Science and Technology Education, 14(1), pp. 291-302. https://doi.org/10.12973/ejmste/78242

MLA

Yang, Zezhong et al. "Research on Organization of Mathematics Knowledge in Good Mathematical Cognitive Structure". Eurasia Journal of Mathematics, Science and Technology Education, vol. 14, no. 1, 2018, pp. 291-302. https://doi.org/10.12973/ejmste/78242