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Beyond coastal and mainland differences: A multilevel item response theory analysis of mathematical literacy in an archipelagic region Dwinata, Alona; Mariyanti Elvi; Linda Rosmery Tambunan
Al-Jabar: Jurnal Pendidikan Matematika Vol 17 No 2 (2026): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v17i2.29899

Abstract

Purpose: This study aimed to examine the mathematical literacy ability of junior high school students in Karimun Regency using a Multilevel Item Response Theory (IRT) framework and to investigate whether differences existed between students attending coastal and mainland schools.Method: A quantitative research design was employed involving 307 Grade IX students from five public junior high schools in Karimun Regency, Indonesia. Participants were selected through stratified two-stage cluster random sampling to represent both coastal and mainland school contexts. Data were collected using a 12-item mathematical literacy test developed based on the PISA mathematical literacy framework and local contextual situations. The instrument demonstrated satisfactory psychometric quality, with corrected item-total correlations ranging from 0.478 to 0.829 and a Cronbach’s alpha coefficient of 0.921. Data were analyzed using a Multilevel IRT two-parameter logistic (2PL) model to estimate item characteristics, students’ latent abilities, and school-level variation.Findings: The results indicated that item difficulty estimates ranged from -2.37 to 1.63, while discrimination parameters ranged from 0.39 to 2.90, suggesting that the instrument covered a broad range of difficulty levels and generally functioned well in differentiating students with varying abilities. Formulate items tended to be easier than interpret and evaluate items. The multilevel analysis revealed substantial school-level variation in mathematical literacy ability, with an intraclass correlation coefficient (ICC) of 0.617, indicating that 61.7% of the variance was associated with differences between schools. However, no significant difference was found between students from coastal and mainland schools (p = 0.906).Significance: This study contributes to the growing literature on mathematical literacy assessment by demonstrating the usefulness of Multilevel IRT in capturing both psychometric characteristics and hierarchical educational structures. The findings suggest that school-level factors play a more important role than geographical location in explaining students’ mathematical literacy ability, providing valuable evidence for designing targeted educational improvement programs in archipelagic regions.
Penerapan Model Pembelajaran Auditory, Intellectually, Repetition dengan Pendekatan RME untuk Meningkatkan Kemampuan Pemecahan Masalah Matematis Siswa pada Materi Bangun Ruang Sisi Datar Kelas VIII SMP Diandra Sartika Panggabean; Alona Dwinata; Desi Rahmatina
FARABI: Jurnal Matematika dan Pendidikan Matematika Vol 7 No 2 (2024): FARABI: Jurnal Matematika dan Pendidikan Matematika
Publisher : Program Studi Pendidikan Matematika FKIP UNIVA Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47662/farabi.v7i2.807

Abstract

This study aims to analyze the improvement of students' mathematical problem-solving abilities through the implementation of the AIR learning model with the RME approach on the topic of flat sided geometric material in Grade VIII at SMP Negeri 45 Batam. This research is a quasi-experimental type of research, with a pretest-posttest control group design. The sample was selected using probability sampling with a cluster random sampling method, so that two sample classes were obtained, VIII C as the experimental class and VIII F as the control class. The test instrument in the form of essay questions to measure students' mathematical problem solving abilities on flat-sided geometric material was used to collect research data. The research results showed that the average improvement in mathematical problem-solving abilities for the experimental class was 0.42, while for the control class it was 0.31. From the Independent t-test of N-Gain, the Sig. value was 0.044, it can be concluded that the average mathematical problem solving ability of students through the application of the AIR learning model with the RME approach is higher than the average mathematical problem solving ability of students using conventional learning models.
Kajian Metode Deteksi Differential Item Functioning pada Butir Soal Dimensi Kepribadian Arien Citha Utami; Sri Kustiara; Anang Kurnia; Alona Dwinata
Cerdika: Jurnal Ilmiah Indonesia Vol. 6 No. 7 (2026): Cerdika: Jurnal Ilmiah Indonesia
Publisher : Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59141/cerdika.v6i7.3482

Abstract

Penelitian ini bertujuan untuk melakukan deteksi Differential Item Functioning (DIF) pada butir soal dimensi kepribadian menggunakan metode Standardization dan Mantel Haenszel. Pengukuran psikologis sering kali mengandung bias ketika dilakukan pada kelompok atau individu dalam bentuk pertanyaan. Bias ini memiliki dampak yang merugikan karena kemampuan individu dapat dipengaruhi oleh faktor-faktor lain seperti jenis kelamin, tempat tinggal, agama, etnis, dan tingkat pendidikan. Ada banyak faktor yang menjadi dasar permasalahan sebagai pengaruh pengukuran psikologis seseorang, sehingga menghasilkan ketidaksesuaian. Penelitian ini dimulai dengan menggunakan Graded Response Model untuk memodelkan data dari lima kelompok item, kemudian melakukan deteksi Differential Item Functioning (DIF). Dalam penelitian ini, metode deteksi DIF yang digunakan adalah metode standardisasi dan metode Mantel Haenszel. Hasil model kelompok item menunjukkan bahwa metode Mantel Haenszel lebih sensitif dibandingkan metode standardization. Hasil deteksi DIF dengan metode Mantel Haenszel memiliki fokus pada nilai odds ratio. Dengan dibuktikannya karakter model yang serupa dengan pengidentifikasian Differential Item Functioning (DIF) dengan melihat hasil trace plot.
PENGEMBANGAN VIDEO PEMBELAJARAN BERBASIS KEARIFAN LOKAL KEPULAUAN RIAU UNTUK MENINGKATKAN KEMAMPUAN LITERASI MATEMATIS SISWA SMP Putriyani, Anita; Dwinata, Alona; Elvi, Mariyanti
Pendas : Jurnal Ilmiah Pendidikan Dasar Vol. 11 No. 03 (2026): Volume 11 No. 03, September 2026 Produce
Publisher : Program Studi Pendidikan Guru Sekolah Dasar FKIP Universitas Pasundan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/jp.v11i03.60042

Abstract

The aim of this study is to develop a learning video based on the local wisdom of the Riau Islands that is valid, practical, and effective for improving the mathematical literacy skills of junior high school students. This study is a development research using the ADDIE model, which consists of five research stages: analysis, design, development, implementation, and evaluation. The instruments used in this study include validation sheets from media and material experts, response questionnaires from teachers and students, and effectiveness instruments in the form of pretest and posttest to see the improvement in students mathematical literacy skills. This research produced a learning video based on the local wisdom of the Riau Islands that is valid with an average score of , which falls into the very valid category, an average practicality score of which is considered practical and an n-gain of , indicating that the learning video is effective in improving students mathematical literacy skills at the moderate level in a limited trial. Therefore, it can be concluded that the developed learning video meets the criteria for being feasible to use in the learning process.