eng Science and Education Publishing American Journal of Educational Research 2327-6150 2017-02-04 5 2 109 113 10.12691/education-5-2-1 EDUCATION2017521 article Michael Gr. Voskoglou voskoglou@teiwest.gr, mvosk@hol.gr 1 Mathematical Sciences, School of Technological Applications, Graduate Technological Educational Institute of Western Greece, Patras, Greece Student group total possibilistic uncertainty and probabilistic uncertainty are calculated for evaluating the student acquisition of the van Hiele levels of geometric reasoning and an example is presented illustrating our results. http://pubs.sciepub.com/education/5/2/1/education-5-2-1.pdf Fuzzy Sets (FS) and Logic (FL) Fuzzy System Probabilistic and Possibilistic Uncertainty Possibility Theory van Hiele (vH) Levels of Geometric Reasoning