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The development of diagnostic test instrument for mathematical representation ability (PhysDTRA) in high school physics learning

Assessment in education is part of collecting and processing various information related to student achievements during learning. Good learning quality can be seen from the quality of the assessment. Assessment activities that help educators to find out the difficulty of students on a learning material so that it can be guided to achieve completeness criteria, namely by diagnostic tests. The assessment carried out must follow 21st-century learning that is integrated with the industrial era 4.0, namely how to diagnose difficulties related to the representation ability of students in physics learning by utilizing assessments that have advantages in detecting student difficulties and giving suggestions for appropriate improvement. The purpose of this research was to develop a test instrument (PhysDTRA) that could be used to diagnose students' mathematical representation abilities in high school physics learning. The results of the research were analyzed quantitatively and qualitatively using Item Response Theory (IRT). Based on the content validity, the PhysDTRA instrument was declared to be valid according to the expert judgments who were analyzed using the Aiken's V equation. All items in the test instrument were valid based on the Rasch, INFIT MNSQ, and INFIT t models. The PhysDTRA instrument has also been relied upon based on the reliability of the estimated items and TIC curves so that it can be used to diagnose and determine the profile of students' mathematical representation abilities. Thus, the PhysDTRA instrument developed has fulfilled the test characteristics that are feasible of its content, empirical evidence, validity, and reliability.