Using the Malmquist Index in Evaluation Process to Enhance Mathematical Literacy in High School Students

Abstract
The study aimed to calculate the evaluation of 9th grade female students and compare the development of the educational process in increasing mathematical literacy using the Malmquist Index at different time intervals. This educational process was accomplished by analysing and integrating realistic mathematical education and mathematical problem-solving. The populations of the study were 120 ninth grade female students. Each student was as a DMU whose inputs were the math test score and the outputs were math test score of December and June. The data analysis method was based on (DEA) technique to calculate efficiency. The output-driven (CCR) model was used to determine students' performance coefficient. Then, the Malmquist Index was used to compare productivity evaluation after the end of the training course in December and the end of the year in June. In general, the results from changes in productivity evaluation of students using the Malmquist Index showed that the students in the experimental group who learned problem-solving and realistic mathematics had an increase in the overall productivity evaluation factor after completing the training compared to the others.