A Hybrid Model for Assessing Student Mathematical Skills

Abstract

‎Student assessment is a very important process in education‎, ‎because it helps the instructor to determine student mistakes and to improve their performance by reforming his/her teaching plans‎. ‎A hybrid assessment method using qualitative grades for evaluating student mathematical skills is presented in this work‎. ‎The paper starts with the mathematical background which is necessary for the understanding of its contents‎. ‎This includes basic information about fuzzy‎, ‎neutrosophic and soft sets‎, ‎and about grey numbers‎. ‎It also includes a description of the use of the center of gravity ($COG$) defuzzification technique for assessing a student group's quality performance‎. ‎The $COG$ technique is compared with the classical method of calculating the $GPA$ index‎. ‎The hybrid assessment method‎, ‎which is based on all the previous concepts and processes‎, ‎is developed next and the article closes with the final conclusion and some recommendations for future research‎.

Keywords

• fuzzy set (fs)‎
• ‎fuzzy logic (fl)‎
• ‎neutrosophic set (ns)‎
• ‎soft set (ss)‎
• ‎grey number (gn)‎
• ‎cog defuzzification technique‎
• ‎rectangular fuzzy assessment model (rfam)‎
• ‎gpa index‎