作者：
Lu, Xiaoli;Leung, Frederick Koon Shing*;Li, Na
期刊：
Educational Studies in Mathematics,2021年106(1):25-44 ISSN：0013-1954
通讯作者：
Leung, Frederick Koon Shing
作者机构：
[Lu, Xiaoli] East China Normal Univ, Shanghai Key Lab PMMP, Sch Math Sci, 500 Dongchuan Rd, Shanghai 200241, Peoples R China.;[Leung, Frederick Koon Shing] Univ Hong Kong, Pokfulam Rd, Hong Kong, Peoples R China.;[Li, Na] Cent China Normal Univ, Sch Math & Stat, 152 Luoyu Rd, Wuhan, Hubei, Peoples R China.
通讯机构：
[Leung, Frederick Koon Shing] U;Univ Hong Kong, Pokfulam Rd, Hong Kong, Peoples R China.
关键词：
Teacher agency;Context of tension;Integrating history into teaching mathematics;Chinese mathematics education;Case study
摘要：
The importance of integrating history into mathematics education is widely recognised in the literature and advocated in curricula worldwide, including in China. However, under the influence of the long-standing centrally designed curricula, teachers in China are accustomed to content- and teacher-centred examination-driven teaching practices. Adopting a life story approach, this paper reports the case of a mathematics teacher who integrated history into her mathematics teaching during the initial two years of her teaching in a Shanghai high school. The agentic perspective adopted in the study allows us to focus on how the teacher's agency was enacted and achieved when engaging in teaching practices. Our findings reveal the roles played by personal qualities, prior experiences, and the structure and culture of schooling in the teacher's agency in integrating history into teaching under a dominant performance-driven context. Implications of the results for integrating history into teaching in restricted contexts are then discussed.
作者机构：
[Li, Na] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.;[Mok, Ida Ah Chee] Univ Hong Kong, Fac Educ, Hong Kong, Peoples R China.;[Cao, Yiming] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China.;[Cao, Yiming] Beijing Normal Univ, Int Ctr Res Math Educ, Beijing 100875, Peoples R China.
通讯机构：
[Li, Na] C;[Cao, Yiming] B;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.;Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China.;Beijing Normal Univ, Int Ctr Res Math Educ, Beijing 100875, Peoples R China.
期刊：
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY,2009年61(2):341-349 ISSN：0340-6253
通讯作者：
Li, Shuchao
作者机构：
[Li, Nana; Li, Shuchao] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Li, Shuchao] C;Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
摘要：
The energy of a graph is defined as the sum of the absolute values of the eigenvalues of the graph. Let (PR denote the class of trees with a perfect matching on n vertices. F. Zhang, H. Li [On acyclic conjugated molecules with minimal energies, Discrete Appl. Math. 92(1999) 71-84] have determined trees with minimal, second-minimal and third-minimal energies in (P. In this paper, using the quasiordering relation, we discuss the trees in (l having the fourth-, fifth- and sixth-minimal energies.
期刊：
ELECTRONIC JOURNAL OF LINEAR ALGEBRA,2008年17:414-425 ISSN：1537-9582
通讯作者：
Li, SC
作者机构：
[Li, Shuchao; Li, Nana] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Li, SC ] ;Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
关键词：
energy;tree;pendent vertex;diameter
摘要：
The energy of G, denoted by E(G), is defined as the sum of the absolute values of the eigenvalues of G. In this paper, the trees with a given diameter having the minimal energy are determined by three specific tree operations; using this method, together with previous work, a conjecture proposed by B. Zhou and F. Li [J. Math. Chem. 39, No. 3–4, 465–473 (2006; Zbl 1100.05064)] is completely solved.
期刊：
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY,2008年59(2):291-314 ISSN：0340-6253
通讯作者：
Li, SC
作者机构：
[Li, Nana; Li, Shuchao; Li, SC] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Li, SC] C;Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
摘要：
The energy of a graph is defined as the sum of the absolute values of its all eigenvalues. Gutman [Acyclic systems with extremal Huckel pi-electron energy, Theoret. Chim. Acta 45(1977) 79-87] characterized the trees with n vertices having the minimal, the second-minimal, the third-minimal, the fourth-minimal, the maximal, and the second-maximal energies. In this paper, as the continuance of it, we determine the trees with n vertices having the fifth-minimal, the sixth-minimal, the seventh-minimal, and the third-maximal energies. As a consequence, we determine the tree with n vertices having extremal Hosoya index. And at the same time, we in part solve a conjecture proposed by Zhou and Li.
期刊：
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY,2008年59(2):315-320 ISSN：0340-6253
通讯作者：
Gutman, Ivan
作者机构：
[Radenkovic, Slavko; Gutman, Ivan] Univ Kragujevac, Fac Sci, Kragujevac 34000, Serbia.;[Li, Nana; Li, Shuchao] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.;[Gutman, Ivan] Univ Kragujevac, Fac Sci, PO Box 60, Kragujevac 34000, Serbia.
通讯机构：
[Gutman, Ivan] U;Univ Kragujevac, Fac Sci, PO Box 60, Kragujevac 34000, Serbia.
摘要：
The results of the preceding paper [N. Li, S. Li, MATCH Commun. Math. Comput. Chem.. 59 (2008) 000-000] axe completed by determining the n-vertex trees with second-, third-, fourth-, fifth-, sixth-, and seventh-minimal energy, as well as those with second-, third-, and fourth-maximal energy, for all values of n.
