eng
Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2328-7292
2018-11-30
6
6
253
261
10.12691/ajams-6-6-6
AJAMS2018666
article
Application of Grey System Theory to Assessment of Computational Thinking Skills
Michael Gr. Voskoglou
1
Department of Mathematical Sciences, Graduate T. E. I. of Western Greece, Patras, Greece
Computational thinking is a kind of analytic thinking that synthesizes critical thinking and existing knowledge and applies them for solving complex real life and technological problems, designing systems, and understanding human behaviour, by drawing on fundamental principles of computer science. This involves frequently a degree of uncertainty and (or) the use of approximate data. On the other hand, a grey system is characterized by lack of adequate information about its components and (or) its function and the corresponding theory has found nowadays many applications to real life, science and engineering. In grey system theory the main tool for handling approximate data is the use of the grey numbers, which are indeterminate numbers defined with the help of the closed real intervals. In the present work grey numbers are used for evaluating computational thinking skills and examples are presented to illustrate our results. The outcomes of this new assessment method are compared to the corresponding outcomes of the classical method of calculating the GPA index and of a similar method developed in earlier works that uses as tools triangular fuzzy numbers instead of grey numbers.
http://pubs.sciepub.com/ajams/6/6/6/ajams-6-6-6.pdf
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**Computational Thinking (CT)
Case-Based Reasoning (CBR)
Grey System (GS)
Grey Numbers (GNs)
Whitening
Fuzzy Set (FS)
Triangular Fuzzy Numbers (TFNs)
Centre of Gravity (CoG) defuzzification technique
assessment methods