Construction of a Criterion-Referenced Test on Mathematical Calculation Skills Involving Integer for Seventh-Grade Students and Classify Ability Level by Fuzzy Logic

Abstract

The aim of this research was to 1) construction of a criterion-referenced test on mathematical calculation skills involving integer for 7^th grade students, 2) quality check, and 3) classify ability level by fuzzy logic. The aim of developing this assessment is to use it in the context of Sawanananwittaya 2School. The research participants included 30 7^th grade students on semester 1 of the 2022 – 2023 academic year, who were selected using purposive sampling from the entire 7^th grade cohort of Sawanananwittaya 2 School, which is a small school. The result show that: 1) the test construction is divided into three parts: Part 1 measures the conceptual understanding of computation with a multiple-choice test of 15 items; Part 2 assesses computational skills with a fill in the blank test of 12 items; and Part 3 evaluates the mathematical process skills related to computation with a subjective test of 4 items. 2) The results of the quality inspection revealed that the entire test is of usable quality, with a Cronbach's alpha reliability coefficient equal to 0.86 and a standard error of measurement equal to 0.23. and 3) group classification analysis using the fuzzy logic method categorized students into three groups: 20% in the excellent group, 43.33% in the good group, and 36.67% in the weak group.