
05495835
j
2009a.00335
Chen, Xuemei
Li, Shiqi
Cheng, Haikui
Studying on the effect of solid geometry teaching with vector and synthetic methods.
J. Math. Educ. (Tianjin) 17, No. 3, 5557 (2008).
2008
Editorial Department of Journal of Mathematics Education c/o Tianjin Normal University, Tianjin
ZH
G70
G40
D70
research
student errors
three dimensional geometry
vector algebra
analytic geometry
synthetic geometry
Summary: Vector geometry provides a new method for studying space and figures, and contributes to appreciating the mechanized thought of modern mathematics. Using an ability test, we want to examine the effect of solid geometry teaching that introduces space vectors to deal with some problems concerning metric and positional relations. Through an analysis of written solutions by 368 third grade senior high school students in Shijiazhuang, we found that most students used two methods simultaneously, the students who only used the synthetic method were a few more than those using the vector method. But the grades of V students were higher than the grades of E students. We also analyzed two error types  general error and vector error. Logically invalid inference and misinterpreted language were the most general errors. Most of the errors related to the vector concept were operational mistakes with coordinates.