1Sierpinska, A. Understanding in mathematies[M]. London: Falmer Press. 1994 : 121 - 122.
2Brownell, W. A. & Sims, V. M. The nature of understanding[AJ. In J. F. Weaver & J. Kilpatrick(Ed. )(1972), The place of meaning in mathematics instruction: Selected theoretical papers of William A. Brownell ( Studies in Mathematics, Vol. 21, pp. 161-179)[C]. Stanford University: School Mathematics Study Group. (Originally published in The measurement of understanding, Forty-fifth Yearbook of the National Society for the Study of Education, Pan I, 27- 43.) 1946.
3Pirie, S. E. B. Understanding: Instrumental, relational, intuitive, constructed, formalized_? How can We know? [J].For the learning of mathematics. 1988. 8(3), 2-6.
4Sierpinska, A. Some remarks on understanding in mathematics[J]. For the Learning of Mathematics, 1990. 10(3): 24-41.
5Sierpinska, A. Remarks on understanding in mathematics [R]. Paper presented at the 1990 meeting of the Canadian Mathematics Education Study Group (Vancouver, CAN, 1990). 28.
6Schroeder, T. L. Students' understanding of mathematics [A]. In J. C. Bergeron, (Eds), Psychology of Mathematics Education, PME-11 [C]. Ganada: Montreal. 1987. 1284-1290.
7Byers, V. & Erlwanger, S. Memory in mathematical understanding[J]. Educational Studies in Mathematics, 1985. 16, 259-281.
8Skemp, R. K Relational understanding and instrumental understanding[J]. Mathematics Teaching. 1976.77.20-26.
9Byers, V. & Herscovics, N. Understanding school mathematics[J]. Mathematics Teaching, 1977. 81, 24-27.
10Hersconvies, N. and Bergeron, J. C. Psychological questions regarding a new model of understanding elementary school mathematics[R]. Proceedings of the Third Annual Meeting of PME-NA, Post, T. R. & Roberts, M. P. (eds), University of Minnesols, Minneopolis, Minnesole, 1981. 69-- 76.
