期刊名称：Eurasia Journal of Mathematics, Science & Technology Education
印刷版ISSN：1305-8223
电子版ISSN：1305-8223
出版年度：2018
卷号：14
期号：1
页码：291-302
DOI：10.12973/ejmste/78242
出版社：Pamukkale Univ Dept Sci Education
摘要：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.
