Analyzing mathematics formative test questions for higher-order thinking skills utilizing the Rasch model

Authors

  • Clarisa Aurelia Avrinda SMP Muhammadiyah 9 Bojonegoro, Indonesia
  • Amelline Slazenny SMP Muhammadiyah 9 Bojonegoro, Indonesia
  • Fahad Abdul Ghani Sindh Madressatul Islam University Karachi Pakistan

DOI:

https://doi.org/10.22219/jtlm.v1i2.31627

Keywords:

Rasch Model, Hots, Formative test

Abstract

In the present day, education is anticipated to cultivate individuals who possess the 4C competencies, which encompass creative thinking, critical thinking and problem-solving, communication, and teamwork. In the 21st century, education is of growing significance in equipping students with learning aptitude, creativity, and proficiency in using technology and information media, enabling them to thrive and adapt. This research aims to examine and explain the attributes of questions that assess higher-order thinking skills using the Rasch Item Response Theory (IRT) method. This study is a Descriptive quantitative research. This study focused on analyzing the response patterns of 70 class XI students from SMA Negeri 3 Tuban towards a formative test instrument that consisted of five answer choices. The test set is derived from the execution of formative assessments. The Rasch model was utilized for data analysis with the assistance of ConQuest. The analysis results indicate that all items conform to the Rasch model. Based on the difficulty level, 15% of the items fell into the troublesome category, while 85% were classified as moderate. The difficulty level values go from -1,094 to 1,250.

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References

Abus, O., & Usmiyatun, U. (2023). TAYO Cards in Understanding Numbers 1-10 for Early Childhood, Improve? Journal of Teaching and Learning Mathematics, 1(1), 13–24.

Aji, F. B., Sugianto, R., & Usmiyatun, U. (2023). Analysis Think Mathematical comedian with Method Inductive, Deductive, and Analogy in Make Material Stand Up Comedy. Delta-Phi: Jurnal Pendidikan Matematika, 1.

Andrian, Y., & Rusman, R. (2019). Implementasi pembelajaran abad 21. Jurnal Penelitian Ilmu Pendidikan, 12(1), 14–23.

Asrijanty. (2014). Model Rasch sebagai Kerangka Acuan Penyusunan Alat Ukur. Jurnal Pendidikan Dan Kebudayaan, 20(1), 109–123. https://doi.org/10.24832/jpnk.v20i1.130

Astuti, P., Anwar, M. S., & Juarlan, A. E. (2023). Pengaruh Kecerdasan Logis Matematis Terhadap Kemampuan Pemecahan Masalah Pada Penyelesaian Soal Cerita. Delta-Phi: Jurnal Pendidikan Matematika, 2, 156–164.

Bond, T. G. (2020). Applying the rasch model: Fundamental measurement in the human sciences. Applying the Rasch Model: Fundamental Measurement in the Human Sciences, 1–348. https://doi.org/10.4324/9780429030499

Budiarti, E., Lestari, J. T., & Hagenimana, E. (2024). The educational game" MARIO" for early childhood number recognition to improve cognitive abilities: Attempts and Problems. Journal of Teaching and Learning Mathematics, 2.

Cahyadi, M. R., Ariansyah, F., & da Silva Santiago, P. V. (2023). Analysis of Using Pattern Finding Strategies Skills in Mathematical Problem Solving Viewed from Gender Differences. Delta-Phi: Jurnal Pendidikan Matematika, 1, 6–10.

Cholily, Y. M. (2023). Analysis of Mathematical Communication Ability on Problem-Solving Pythagoras Theorem Viewed From Students’ Cognitive Style. Journal of Teaching and Learning Mathematics, 1(1), 42–52.

Darmayanti, R., Arif, V. R., & Usmiyatun, U. (2023). My HAIR SALON: Collaboration of Right Brain and Left Brain Students in the Mind Mapping Model for Statistical Material. Delta-Phi: Jurnal Pendidikan Matematika, 1(2).

Darmayanti, R., Hidayat, A., da Silva Santiago, P. V, Gunawan, I. I., & Dhakal, A. (2023). Post-Math: An innovative math approach to engage children (Case Studies). Journal of Teaching and Learning Mathematics, 1(1).

Dinni, H. N. (2018). HOTS ( High Order Thinking Skills ) dan Kaitannya dengan Kemampuan Literasi Matematika. Prisma, 1, 170–176.

Elisa, R. S., Sutisnawati, A., & Nurasiah, I. (2020). Jurnal perseda. Jurnal Persada, III(3), 115–120.

Fauziana, A., & Dessy Wulansari, A. (2021). Analisis Kualitas Butir Soal Ulangan Harian di Sekolah Dasar dengan Model Rasch. Ibriez : Jurnal Kependidikan Dasar Islam Berbasis Sains, 6, 10–19. https://doi.org/10.21154//ibriez.v6i1.112

Gunawan, I. I., Darmayanti, R., In’am, A., Vedianty, A. S. A., & Vereshchaha, V. (2023). Clap-Breathe-Count: Using Ice-Breaking Ma-Te-Ma-Ti-Ka to Increase High School Students’ Learning Motivation. Delta-Phi: Jurnal Pendidikan Matematika, 1(1), 51–57.

Hamdi, S., Suganda, I. A., & Hayati, N. (2018). Developing higher-order thinking skill (HOTS) test instrument using Lombok local cultures as contexts for junior secondary school mathematics. Research and Evaluation in Education, 4(2), 126–135. https://doi.org/10.21831/reid.v4i2.22089

Hansen, T. (2020). Item analysis of the Eating Assessment Tool (EAT-10) by the Rasch model: A secondary analysis of cross-sectional survey data obtained among community-dwelling elders. Health and Quality of Life Outcomes, 18(1). https://doi.org/10.1186/s12955-020-01384-2

Hasanah, N., Laila, A. R. N., & Nurmalitasari, D. (2023). Development of Audiovisual Ethnomathematics Teaching Materials Assisted by Kinemaster Applications Algebraic Function Derivative Application Materials for Class XI SMA. Delta-Phi: Jurnal Pendidikan Matematika, 1.

Hee, S. H. (2008). Validation of the Korean version of the pediatric quality of life inventoryTM 4.0 (PedsQLTM) generic core scales in school children and adolescents using the rasch model. Health and Quality of Life Outcomes, 6. https://doi.org/10.1186/1477-7525-6-41

In’am, A., Maghfiroh, W., & Rachmawati, N. I. (2021). Designing math learning through teaching the material" Number Patterns" by developing means to train students’ reasoning skills. AMCA Journal of Education and Behavioral Change, 1.

Iwuanyanwu, P. N. (2021). Contemporary problems of teaching and learning in mathematics education. Mathematics Teaching-Research Journal, 13(2), 23–35.

Johansson, S. (2014). Can the Fatigue Severity Scale 7-item version be used across different patient populations as a generic fatigue measure - a comparative study using a Rasch model approach. Health and Quality of Life Outcomes, 12(1). https://doi.org/10.1186/1477-7525-12-24

Karim, S., & Zoker, E. M. (2023). Technology in Mathematics Teaching and Learning: An Impact Evaluation in Selected Senior Schools in Masingbi Town. Assyfa Learning Journal, 2, 60–72.

Komboz, B. (2018). Tree-Based Global Model Tests for Polytomous Rasch Models. Educational and Psychological Measurement, 78(1), 128–166. https://doi.org/10.1177/0013164416664394

Laila, A. R. N., Cholily, Y. M., Syaifuddin, M., & Kurniawati, W. (2023). Functional Inverse Material Description Test: Development of Islamic Integrated Communication Ability Instruments. Delta-Phi: Jurnal Pendidikan Matematika, 2, 107–124.

Legi Aspriyanti, Rustam, & Setyonegoro, A. (2022). Analisis Soal Tes Formatif Bahasa Indonesia Berorientasi pada Higher Order Thinking Skills (HOTS). Lintang Aksara: Jurnal Pendidikan Bahasa Dan Sastra, 1(2), 88–100.

Lestari, A. S. B. L., Wahyono, A., AkkuÅŸci, Y. E., Purwanto, P., Anas, K., Nurmalasari, Y., Bibi, R., & Yunus, M. (2023). PLAN–DO–SEE: Lesson Study-Based Differentiated Learning in Middle Schools. Delta-Phi: Jurnal Pendidikan Matematika, 1, 41–45.

Lubis, M., & James, M. L. (2024). Compared concrete and digital mathematics learning media: a systematic literature review in the age of Industrial Revolution 5.0. Journal of Teaching and Learning Mathematics, 2.

Maia, A. (2013). Cross-cultural adaptation and analysis of the psychometric properties of the balance evaluation systems test and MiniBESTest in the elderly and individuals with Parkinson’s disease: Application of the Rasch model. Brazilian Journal of Physical Therapy, 17(3), 195–217. https://doi.org/10.1590/S1413-35552012005000085

Nisa, H., Choirudin, C., Anwar, M. S., & Wardana, M. R. F. (2023). Implementasi Etnomatemtika Berbasis Alat Kesenian Rebana Dalam Pembelajaran Bangun Ruang. Delta-Phi: Jurnal Pendidikan Matematika, 3, 205–210.

Perdana, S. A. (2018). Analisis Kualitas Instrumen Pengukuran Pemahaman Konsep Persamaan Kuadrat Melalui Teori Tes Klasik Dan Rasch Model. Jurnal Kiprah, 6(1), 41–48. https://doi.org/10.31629/kiprah.v6i1.574

Pratama, D. (2020). Analisis Kualitas Tes Buatan Guru Melalui Pendekatan Item Response Theory (IRT) Model Rasch. Tarbawy : Jurnal Pendidikan Islam, 7(1), 61–70. https://doi.org/10.32923/tarbawy.v7i1.1187

Reihani, M., Arifin, S., Afriani, A., & Choirudin, C. (2024). How valid is AR-enabled e-module development in a Palembang wardrobe context? Journal of Teaching and Learning Mathematics, 2.

Rofiah, N., Anwar, M. S., Choirudin, C., & Ridho’i, A. V. (2023). Analisis Kesulitan Belajar Matematika ditinjau dari Motivasi Belajar Siswa. Delta-Phi: Jurnal Pendidikan Matematika, 3.

Sabekti, A. W., & Khoirunnisa, F. (2018). Penggunaan Rasch Model Untuk Mengembangkan Instrumen Pengukuran Kemampuan Berikir Kritis Siswa Pada Topik Ikatan Kimia. Jurnal Zarah, 6(2), 68–75. https://doi.org/10.31629/zarah.v6i2.724

Saraswati, P. M. S., & Agustika, G. N. S. (2020a). Kemampuan Berpikir Tingkat Tinggi Dalam Menyelesaikan Soal HOTS Mata Pelajaran Matematika. Jurnal Ilmiah Sekolah Dasar, 4(2), 257. https://doi.org/10.23887/jisd.v4i2.25336

Saraswati, P. M. S., & Agustika, G. N. S. (2020b). Kemampuan Berpikir Tingkat Tinggi Dalam Menyelesaikan Soal HOTS Mata Pelajaran Matematika. Jurnal Ilmiah Sekolah Dasar, 4(2), 257. https://doi.org/10.23887/jisd.v4i2.25336

Setiawan, A., Anwar, S., & Ariansyah, F. (2023). Pengaruh Penggunaan Metode Team Quiz Terhadap Hasil Belajar Siswa Pada Mata Pelajaran Matematika. Delta-Phi: Jurnal Pendidikan Matematika, 2, 147–155.

Setiawati, D., Setiawan, A., Choirudin, C., & Muniri, M. (2023). Pengaruh Pembelajaran dengan Pendekatan Interkoneksi Matematika Al-Qurâ€TMan terhadap Hasil Belajar Siswa. Delta-Phi: Jurnal Pendidikan Matematika, 2, 183–190.

Setio, A., & Baiduri, B. (2023). Statistical Literacy: A Preliminary Research to Identify Student’s Level in Solving AKM Problems Based on Watson Category. Journal of Teaching and Learning Mathematics, 1(1), 33–41.

Shania, F., Inganah, S., Rosyadi, A. A. P., & Afolaranmi, A. O. (2024). What are junior high maths students’ Edmodo interests and learning outcomes? Journal of Teaching and Learning Mathematics, 2.

Sinaga, B., Harahap, M., Sinambela, P., & Sinaga, L. (2016). … of Mathematics Instructional and Authentic Assessment Model Based on Curriculum 2013 to Improve the Attitude Quality, Creative Thinking Ability and Mathematics …. digilib.unimed.ac.id.

Susanti, R. D. (2018). Penerapan Edmodo Pada Pemberian Tes Formatif Mahasiswa Pendidikan Profesi Guru Matematika. Aksioma Jurnal.

Wahyuningsih, S. (2020). PENGGUNAAN MODEL RASCH UNTUK ANALISIS INSTRUMEN TES PADA MATA KULIAH MATEMATIKA AKTUARIA. 3, 45–50.

Wijaya, E. Y., Sudjimat, D. A., & Nyoto, A. (2016). Transformasi Pendidikan Abad 21 sebagai Tuntutan Pengembangan Sumber Daya Manusia di Era Global. Prosiding Seminar Nasional Pendidikan Matematika, 1, 263–278.

Wolfe, E. (2013). A bootstrap approach to evaluating person and item fit to the Rasch model. Journal of Applied Measurement, 14(1), 1–9.

Wood, R. (1978). Fitting the Rasch model—A heady tale. British Journal of Mathematical and Statistical Psychology, 31(1), 27–32. https://doi.org/10.1111/j.2044-8317.1978.tb00569.x

Yolcu, H. H. (2019). Analysis and evaluation of 3. and 4. Grade science course learning outcomes according to revised bloom taxonomy. Elementary Education Online, 18(1), 253–262. https://doi.org/10.17051/ilkonline.2019.527214

Yulianto, A., & Widodo, A. (2020). Disclosure of Difficulty Distribution of HOTS-Based Test Questions through Rasch Modeling. Indonesian Journal of Primary Education, 4(2), 197–203. https://doi.org/10.17509/ijpe.v4i2.29318

Yuwono, T. A., Sulistiadi, S., & Atmiasih, D. (2021). Pengaruh Teknologi Ramah Lingkungan Sonic Bloom Menggunakan Musik Hard Rock dan Asmaul Husna Terhadap Pertumbuhan Kangkung (Ipomoea Aquatic). MEKANIKA. https://www.ejournal.unugha.ac.id/index.php/me/article/view/411

Zahroh, U., Ariansyah, F., & Farooq, S. M. Y. (2024). Video Blog (Vlog): Media Innovation in Mathematics Learning explores creative mathematics learning. Journal of Teaching and Learning Mathematics, 1(2).

Rasch Model

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Published

2024-01-30

How to Cite

Avrinda, C. A., Slazenny, A., & Ghani, F. A. (2024). Analyzing mathematics formative test questions for higher-order thinking skills utilizing the Rasch model. Journal of Teaching and Learning Mathematics, 1(2), 130–136. https://doi.org/10.22219/jtlm.v1i2.31627