Application of Grey Numbers to Assessment of the Understanding the Graphical Representation of the Derivative

Michael. Gr. Voskoglou^1,

¹Department of Mathematical Sciences, Graduate Technological Educational Institute of Western Greece, Patras, Greece

Cite this paper:
Michael. Gr. Voskoglou. Application of Grey Numbers to Assessment of the Understanding the Graphical Representation of the Derivative. American Journal of Educational Research. 2017; 5(11):1167-1171. doi: 10.12691/education-5-11-9

Abstract

Grey numbers, which are defined with the help of the real intervals, are very useful in the everyday life for handling approximate data. In the present paper grey numbers are used as a tool for assessing, with linguistic expressions, the student understanding of the graphical representation of the derivative. Although the proposed new assessment method is proved to be equivalent with an analogous method using Triangular Fuzzy Numbers developed in earlier works, the required computational burden is significantly reduced. A classroom application is also presented illustrating our results.

Keywords:
teaching the derivatives assessment methods grey Numbers (GNs) whitenization

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