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All Journal Al-Jabar : Jurnal Pendidikan Matematika REiD (Research and Evaluation in Education) Psychology, Evaluation, and Technology in Educational Research
Munaya Nikma Rosyada
Universitas Negeri Yogyakarta
Computer Science & IT Education Mathematics Social Sciences

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Challenges of Mathematics Learning with Heuristic Strategies Munaya Nikma Rosyada; Heri Retnawati
Al-Jabar: Jurnal Pendidikan Matematika Vol 12, No 1 (2021): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (361.51 KB) | DOI: 10.24042/ajpm.v12i1.8730

Abstract

Problem solving is an essential aspect of students' mathematical activities. This ability could practice by using heuristic strategies in learning. Besides, these are assured to be able to promote metacognitive skills. In the implementation, teachers faced several challenges. This research aims to describe the challenges of teachers in implementing learning with heuristic strategies. This research is a descriptive qualitative. Participants of this research were 12 junior high school mathematics teachers from 12 high schools in the Special Region of Yogyakarta and Central Java. Data collection was taken by questionnaire and added with documentation. Data were analyzed using the Miles and Huberman stage-data reduction, data display, and drawing conclusion/verification. The data then validated using triangulation technique. The results revealed that some of teacher has already implement heuristic strategy in the learning process, but unable to define the heuristic strategy correctly. In its implementation, teachers experience several obstacles. These obstacles were found in providing non-routine problems to students, solving problems by students, and in discussions conducted to solve problems. 
Polytomous scoring correction and its effect on the model fit: A case of item response theory analysis utilizing R Agus Santoso; Timbul Pardede; Ezi Apino; Hasan Djidu; Ibnu Rafi; Munaya Nikma Rosyada; Heri Retnawati; Gulzhaina K. Kassymova
Psychology, Evaluation, and Technology in Educational Research Vol. 5 No. 1 (2022)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/petier.v5i1.148

Abstract

In item response theory, the number of response categories used in polytomous scoring has an effect on the fit of the model used. When the initial scoring model yields unsatisfactory estimates, corrections to the initial scoring model need to be made. This exploratory descriptive study used response data from Take Home Exam (THE) participants in the Statistical Methods I course organized by the Open University, Indonesia, in 2022. The stages of data analysis include coding the rater’s score; analyzing frequency; analyze the fit of the model based on graded, partial, and generalized partial credit models; analyze the characteristic response function (CRF) curve; scoring correction (rescaling); and re-analyze the fit of the model. The fit of the model is based on the chi-square test and the root mean square error of approximation (RMSEA). All model fit analyzes were performed by using R. The results revealed that scoring corrections had an effect on model fit and that the partial credit model (PCM) produced the best item parameter estimates. All results and their implications for practice and future research are discussed.
The effect of scoring correction and model fit on the estimation of ability parameter and person fit on polytomous item response theory Agus Santoso; Timbul Pardede; Hasan Djidu; Ezi Apino; Ibnu Rafi; Munaya Nikma Rosyada; Harris Shah Abd Hamid
REID (Research and Evaluation in Education) Vol 8, No 2 (2022)
Publisher : Sekolah Pascasarjana Universitas Negeri Yogyakarta & HEPI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/reid.v8i2.54429

Abstract

Scoring quality has been recognized as one of the important aspects that should be of concern to both test developers and users. This study aimed to investigate the effect of scoring correction and model fit on the estimation of ability parameters and person fit in the polytomous item response theory. The result of 165 students in the Statistics course (SATS4410) test at one of the universities in Indonesia was used to answer the problems in this study. The polytomous data obtained from scoring the test results were analyzed using the Item Response Theory (IRT) approach with the Partial Credit Model (PCM), Graded Response Model (GRM), and Generalized Partial Credit Model (GPCM). The effect of scoring correction and model fit on the estimation of ability and person fit was tested using multivariate analysis. Among the three models used, GRM showed the best fit based on p-value and RSMEA. The results of the analysis also showed that there was no significant effect of scoring correction and model fit on the estimation of the test taker’s ability and person fit. From the results of this study, we recommend the importance of evaluating the levels or categories used in scoring student work on a test.
Gaining a deeper understanding of the meaning of the carelessness parameter in the 4PL IRT model and strategies for estimating it Timbul Pardede; Agus Santoso; Diki Diki; Heri Retnawati; Ibnu Rafi; Ezi Apino; Munaya Nikma Rosyada
REID (Research and Evaluation in Education) Vol 9, No 1 (2023)
Publisher : Sekolah Pascasarjana Universitas Negeri Yogyakarta & HEPI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/reid.v9i1.63230

Abstract

Three popular models are used to describe the characteristics of the test items and estimate the ability of examinees under the dichotomous IRT model, namely the one-, two-, and three-parameter logistic models. The three-item parameters are discriminating power, difficulty, and pseudo-guessing. In the development of the dichotomous IRT model, carelessness or upper asymptote parameter was proposed, which forms a four-parameter logistic (4PL) model to accommodate a condition where a high-ability examinee gives an incorrect response to a test item when he/she should be able to respond to the test item correctly. However, the carelessness parameter and the 4PL model have not been widely accepted and used due to several factors, and people’s understanding of that parameter and strategies for estimating it is still inadequate. Therefore, this study aims to shed light on ideas underlying the 4PL model, the meaning of the carelessness parameter, and strategies used to estimate that parameter based on the extant literature. The focus of this study was then extended to demonstrating practical examples of estimating item and person parameters using the 4PL model using empirical data on responses of 1,000 students from the Indonesia Open University (Universitas Terbuka) on 21 of 30 multiple-choice items on the Business English test, a paper-and-pencil test. We mainly analyzed empirical data using the ‘mirt’ package in RStudio. We present the analysis results coherently so that IRT users would have a sufficient understanding of the 4PL model and the carelessness parameter, and they can estimate item and person parameters under the 4PL model.
Co-Authors Agus Santoso Diki Diki Djidu, Hasan Ezi Apino Gulzhaina K. Kassymova Harris Shah Abd Hamid Heri Retnawati Ibnu Rafi Timbul Pardede