1National Council of Teachers of Mathematics (NCTM). Principles and Standards for School Mathematics [M]. Reston: VA, 2000. 56.
2Curriculum Development Council. Syllabuses for secondary schools: Syllabus for mathematics (Secondary 1-5) [M]. Hong Kong: The Education Development, 1999. 3.
3Bell A. A study of pupils' proof-explanations in mathematical situations [J]. Educational Studies in Mathematics, 1976, (7): 23-40.
4Hanna G; Jahnke H N. 'Proof and proving' [A]. In: A Bishop K, Clements C, Keitel J, et al. International Handbook of Mathematics Education [C]. Dordrecht: Kluwer Academic Publishers, 1996. 877-908.
5Hanna G Some pedagogical aspects of proof [J]. Interchange, 1990, 21(1): 6-13.
6Hanna G. Proof, Explanation And Exploration: An Overview [J]. Educational studies in mathematics, 2001, (44): 5-23.
7Hersh R. Proving is convincing and explaining [J]. Educational Studies in Mathematics, 1993, (24): 389-399.
8Siu M K. Proof and pedagogy in ancient China: examples form Liu Hui's Commentary on Jiuzhang Suanshu [J], Educational Studies in Mathematics, 1993, (24): 345-357.
9Knuth E. Teachers' Conceptions of Proof in The Context of Secondary School Mathematics [J]. Journal of Mathematics Teacher Education, 2002, (5): 61-88.
10Knuth E, Elliott R L. Characterizing Students' Understandings of Mathematical Proof [J]. Mathematics teacher, 1998, 91(8): 714-717.
