Error Analysis on Triangle Type Functions Concerning Extremum Values in Ordinary High SchoolMathematics Teaching

Guoqiang Dang^1,

¹School of Mathematical Sciences, Beijing Normal University, Beijing, P.R. China

Cite this paper:
Guoqiang Dang. Error Analysis on Triangle Type Functions Concerning Extremum Values in Ordinary High SchoolMathematics Teaching. Turkish Journal of Analysis and Number Theory. 2022; 10(1):12-14. doi: 10.12691/tjant-10-1-3

Abstract

This research is focusing on the extremum of a given function which involves triangle functions. We collect some typical examples from ordinary high school mathematics teaching and demonstrate several typical mistakes which were usually posed by ordinary high school students usually and analyze the reasons for the errors. These results will be used to help ordinary high school students to well understand AM-GM inequalities and related applications for maximum and minimum values of triangle type functions.

Keywords:
AM-GM inequalities error analysis extremum values

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References:

[1]	Z. Cvetkovski, Inequalities, theorems, techniques and selected problems, Springer-Verlag, Berlin Heidelberg, 2012, 9.
[2]	People's Education Press, Curriculum Materials Research Institute, Secondary Mathematics Curriculum Teaching Materials Research and Development Center, Experimental Teaching Material of Mathematics of Curriculum Standards in Ordinary Senior High Schools, Mathematics 5, Compulsory edition, Edition A, People's Education Press, Beijing, 2007, 98 (In Chinese).