[1] | Burger, W.P. & Shaughnessy, J.M. (1986), Characterization of the vam Hiele Levels of Development in Geometry, Journal for Research in Mathematics Education, 17, 31-48. |
|
[2] | Freudenthal, H. (1973), Mathematics as an Educational Task, D. Reidel, Dordrecht. |
|
[3] | Fuys, D., Geddes, D. & Tischler, R. (1988), The van Hiele Model of Thinking in Geometry among Adolescents, Journal for Research in Mathematics Education, Monograph 3, NCTM, Reston, VA, USA. |
|
[4] | Gutierrez, A., Jaine, A. & Fortuny, J.K. (1991), An Alternative Paradigm to Evaluate the Acquisition of the van Hiele Levels, Journal for Research in Mathematics Education, 22, 237-251. |
|
[5] | Haviger, J. & Vozkunkova, I. (2014), The van Hiele geometry thinking levels: Gender and school type differences, Procedia – Social and Behavioral Sciences, 112, 977-981. |
|
[6] | Hsiu-Lan Ma et al. (2015), A study of van Hiele geometric thinking among 1st through 6th Grades, Eurasia Journal of Mathematics Science ant Technical Education, 11(5), 1181-1196. |
|
[7] | Klir, G.J. & Folger, T.A. (1988), Fuzzy Sets, Uncertainty and Information, Prentice-Hall, London. |
|
[8] | Klir (1995), Principles of Uncertainty: What are they? Why do we Need them? , Fuzzy Sets and Systems, 74(1), 15-31. |
|
[9] | Perdikaris, S.C. (2002), Measuring the student group capacity for obtaining geometric information in the van Hiele development thought process: A fuzzy approach, Fuzzy Systems and Mathematics, 16(3), 81-86. |
|
[10] | Perdikaris, S.C. (2011), Using Fuzzy Sets to Determine the Continuity of the van Hiele Levels, Journal of Mathematical Sciences and Mathematics Education, 6(3), 81-86. |
|
[11] | Shackle, G.L.S. (1961), Decision, Order and Time in Human Affairs, Cambridge University Press, Cambridge, UK. |
|
[12] | Shannon (1948), A mathematical theory of communications, Bell Systems Technical Journal, 27, 379-423 and 623-656 |
|
[13] | van Hiele, P.M. & van Hiele-Geldov, D. (1958), Report on Methods of Initiation into Geometry, edited by H. Freudenthal, J.B. Wolters, Groningen, The Netherlands, pp. 67-80. |
|
[14] | van Hiele, P.M. (1986), Structure and Insight, Academic Press, New York. |
|
[15] | Voskoglou, M. Gr. (1999), An Application of Fuzzy Sets to the Process of Learning, Heuristics and Didactics of Exact Sciences, 10, 9-13. |
|
[16] | Voskoglou, M. Gr. (2009), Fuzziness or Probability in the Process of Learning: A General Question Illustrated by Examples from Teaching Mathematics, The Journal of Fuzzy Mathematics, International Fuzzy Mathematics Institute (Los Angeles), 17(3), 679-686. |
|
[17] | Voskoglou, M. Gr. (2011), Stochastic and Fuzzy Models in Mathematics Education, Artificial Intelligence and Management, Lambert Academic Publishing, Saarbrucken, Germany. |
|
[18] | Voskoglou, M. Gr. (2012), A Study on Fuzzy Systems, American Journal of Computational and Applied Mathematics, 2(5), 232-240. |
|
[19] | Voskoglou, M. Gr. (2013), Case-Based Reasoning in Computers and Human Cognition: A Mathematical Framework, International Journal of Machine Intelligence and Sensory Signal Processing, 1, 3-22. |
|
[20] | Voskoglou, M. Gr. (2015), Defuzzification of Fuzzy Numbers for Student Assessment, American Journal of Applied Mathematics and Statistics, 3(5), 206-210. |
|
[21] | Voskoglou, M. Gr. (2016), Finite Markov Chain and Fuzzy Models in Management and Education, GIAN Program, Course No. 16102K03/2015-16, National Institute of Technology, Durgapur, India |
|
[22] | Wilson, M. (1990), Measuring a van Hiele Geometric Sequence: A Reanalysis, Journal for Research in Mathematics Education, 21, 230-237. |
|