Journals Information
Universal Journal of Applied Mathematics Vol. 5(1), pp. 1 - 5
DOI: 10.13189/ujam.2017.050101
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An Application of the Generalized Rectangular Fuzzy Assessment Model to the van Hiele Level Theory of Geometric Reasoning
Igor Ya. Subbotin 1,*, Michael Gr. Voskoglou 2
1 Department of Mathematics and Natural Sciences, College of Letters and Sciences, National University, USA
2 Department of Mathematical Sciences, School of Technological Applications, Graduate Technological Educational Institute (T. E. I.) of Western Greece, Greece
ABSTRACT
The Generalized Rectangular Fuzzy Assessment Model (GRFAM) is applied for the evaluation of student group acquisition of the van Hiele levels of geometric reasoning and an example is presented illustrating our results. The GRFAM is a variation of the Center of Gravity defuzzification technique created in an effort to treat better the ambiguous assessment cases being at the boundaries between any two successive assessment grades.
KEYWORDS
Fuzzy Sets (FS) and Logic (FL), Center of Gravity (COG), Defuzzification Technique, Generalized Rectangular Fuzzy Assessment Model (GRFAM), van Hiele (vH) Levels of Geometric Reasoning
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Igor Ya. Subbotin , Michael Gr. Voskoglou , "An Application of the Generalized Rectangular Fuzzy Assessment Model to the van Hiele Level Theory of Geometric Reasoning," Universal Journal of Applied Mathematics, Vol. 5, No. 1, pp. 1 - 5, 2017. DOI: 10.13189/ujam.2017.050101.
(b). APA Format:
Igor Ya. Subbotin , Michael Gr. Voskoglou (2017). An Application of the Generalized Rectangular Fuzzy Assessment Model to the van Hiele Level Theory of Geometric Reasoning. Universal Journal of Applied Mathematics, 5(1), 1 - 5. DOI: 10.13189/ujam.2017.050101.