The study aimed to calculate the evaluation of 9 th 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.

Purpose:The main of this research was to calculate the efficiency of 9th grade high school female students as well as educational process development to increase the math literacy. Methodology: This educational process is done by combining realistic mathematics education and the process of solving mathematical problems by quasi-experimental method. The statistical population of the study was 242 ninth grade students in district 19 of Tehran province in the 98-99 academic year; they were divided into two groups of 122 students as experimental group (A, B) and 122 students as control group (C, D). The data analysis method was based on Data Envelopment Analysis (DEA). The output-oriented Charles, Cooper, and Rhodes (CCR) model was used for determining the efficiency of the students. Findings: Each student was considered as a decision-making unit (DMU) in which inputs were mathematical pre-test scores and outputs were the mathematical post-test scores. 91.185% of class A students and 93.6% of class B students from the experimental group were efficient, which has much better offspring than the control group. Conclusion:The results showed that the students involved in problem solving and realistic math instruction were efficient and the Pisa test performed very well. In addition, data envelopment analysis was a suitable method for evaluating and analyzing students' annual performance.

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