A COGNITIVE DIAGNOSTIC ASESSMENT MODULE BASED ON CONTEXTUAL NUMERACY LITERACY

Authors

  • Rizky Fadillah STKIP Paracendekia NW Sumbawa
  • Rachmat Wasqita STKIP Paracendekia NW Sumbawa

Keywords:

Cognitive Mathematics, Diagnostic Assessment, Numeracy Literacy.

Abstract

This study aims to develop a cognitive diagnostic assessment module in mathematics based on contextual numeracy literacy of Sumbawa for Phase D students by employing a 3D development model (Define, Design, Develop) adapted from Thiagarajan’s 4D model. In the Define stage, needs analysis was carried out through observation, interviews, and curriculum review to identify the existing diagnostic assessments used by teachers as well as the opportunities for integrating Sumbawa’s local context. The Design stage produced a draft module consisting of test blueprints, items, answer keys, assessment rubrics, and interpretation guidelines. The Develop stage resulted in Prototype I, which was validated by nine validators comprising one subject-matter expert and two practitioners for each grade level (VII, VIII, and IX). Quantitative validation results show that the material aspect obtained an average of 95.86% (VII=95.86%; VIII=95.17%; IX=95.00%), the construct aspect 94.87% (VII=97.86%; VIII=95.00%; IX=91.75%), and the language aspect 95.07% (VII=97.29%; VIII=95.67%; IX=92.25%). All aspects were categorized as very valid, indicating that the module is feasible to be used as a diagnostic assessment instrument to support adaptive mathematics learning in accordance with the students’ level of ability in Phase D.

Author Biographies

Rizky Fadillah, STKIP Paracendekia NW Sumbawa

Mathematic Education

Rachmat Wasqita, STKIP Paracendekia NW Sumbawa

Mathematic Education

References

Adriyani, Z., Faqih, M. I., Kharirroh, & Malik, M. S. (2023). Development of Literacy and Numeracy-Based Assessment Instruments for Madrasah Ibtidaiyah Teacher Education Students. DIDAKTIKA TAUHIDI: Jurnal Pendidikan Guru Sekolah Dasar, 10(2), 213–222. https://doi.org/10.30997/dt.v10i2.7625

Alfageh, D. H., York, C. S., Hodge-Zickerman, A., & Xie, Y. (2024). Elementary teachers’ use of adaptive diagnostic assessment to improve mathematics teaching and learning: A case study. International Electronic Journal of Mathematics Education, 19(1). https://doi.org/10.29333/iejme/14190

Amelia, S., Widiati, I., & Yadrika, G. (2023). Pengembangan Soal Numerasi Untuk Peserta Didik Fase D. Aksioma: Jurnal Program Studi Pendidikan Matematika, 12(3), 3048. https://doi.org/10.24127/ajpm.v12i3.7236

Anderson, L. W. & Krathwohl, D. R. (2001). A Taxonomy for Learning, Teaching, and Assessing: A Revision of Bloom’s Taxonomy of Educational Objectives. Addison Wesley Longman, Inc.

Annisa, D., Tgk Hasan Krueng Kalee, J., & Aceh, B. (2022). Pengaruh Model Pembelajaran Learning Cycle terhadap Kemampuan Representasi Matematis. Journal on Education, 04(03), 960–967. 10.31004/joe.v4i3.491

Black, P., & Wiliam, D. (2009). Developing the theory of formative assessment. Educational Assessment, Evaluation and Accountability, 21(1), 5–31. https://doi.org/10.1007/s11092-008-9068-5

Chang, I. (2023). Early numeracy and literacy skills and their influences on fourth-grade mathematics achievement: a moderated mediation model. Large-Scale Assessments in Education, 11(1). https://doi.org/10.1186/s40536-023-00168-6

Clark, L. A., & Watson, D. (2019). Constructing validity: New developments in creating objective measuring instruments. Psychological Assessment, 31(12), 1412–1427. https://doi.org/10.1037/pas0000626

Deda, Y. N., & Maifa, T. (2021). Development of Student Worksheets Using the Context of Local Wisdom on Integers and Fractions. Mathematics Education Journal, 15(1), 71–82. https://doi.org/10.22342/jpm.v.i.12824.71-82

Endang Susetyawati, M. (2022). Pengembangan Butir Soal Kemampuan Literasi Numerasi Matematika Materi Bangun Ruang Kelas Viii Smp Di Yogyakarta. Indonesian Journal Of Education And Humanity, 2.

Fajri, H. M., Zulkardi, Z., Putri, R. I. I., & Susanti, E. (2022). Kemampuan Literasi Numerasi Siswa Smp Pada Konteks Pembelajaran Jarak Jauh (PJJ) PASCA COVID-19. EDU-MAT: Jurnal Pendidikan Matematika, 10(2), 162. https://doi.org/10.20527/edumat.v10i2.12144

Heritage, M. (2021). Formative Assessment: Making It Happen in the Classroom (Second Edition). Corwin Press.

Istihapsari, V., Istiandaru, A., Wahyudi, R. S., Sukestiyarno, S., Suyitno, H., & Rochmad, R. (2023). Using Context of Local Environment Maps to Develop Lesson Plan which Foster Mathematical Literacy. International Journal on Emerging Mathematics Education, 7(1), 35. https://doi.org/10.12928/ijeme.v7i1.25764

Koskinen, R., & Pitkäniemi, H. (2022). Meaningful Learning in Mathematics: A Research Synthesis of Teaching Approaches. International Electronic Journal of Mathematics Education, 17(2), em0679. https://doi.org/10.29333/iejme/11715

Looney, J. W. (2011). Integrating Formative and Summative Assessment (OECD Education Working Papers, Vol. 58). https://doi.org/10.1787/5kghx3kbl734-en

Mahmuti, A., Hamzić, D. K., & Thaqi, X. (2025). The impact of contextual teaching and learning on improving student achievement in economic mathematics. International Electronic Journal of Mathematics Education , 20(3). https://doi.org/10.29333/iejme/16233

Mustangin. (2015). Representasi konsep dan peranannya dalam pembelajaran matematika di sekolah. Jurnal Pendidikan Matematika, 3(2), 112–118.

Nabila, L. A., & Widjajanti, D. B. (2020). Self-esteem in mathematics learning: How to develop it through contextual teaching and learning approach? Journal of Physics: Conference Series, 1581(1). https://doi.org/10.1088/1742-6596/1581/1/012049

Nitko, A. J. (2001). Educational Assessment of Students (3rd Edition). Prentice Hall.

Nur Qomaria, & Fatanur Baity Tsulutsya. (2024). Pengembangan E-assessment Numerasi Konteks Kearifan Lokal Madura. JURNAL PENDIDIKAN MIPA, 14(4), 1153–1160. https://doi.org/10.37630/jpm.v14i4.2087

Nursakiah, N., Arriah, F., & Dharma, S. (2022). Developing mathematical literacy test with context of Bugis-Makassar local wisdom for junior high school students. Jurnal Elemen, 8(1), 16–28. https://doi.org/10.29408/jel.v8i1.4049

OECD. (2023). PISA 2022 Results Factsheets Indonesia PUBE. https://oecdch.art/a40de1dbaf/C108.

Paunno, D., Laamena, C. M., & Moma, L. (2025). Developing Mathmatics Problems Of Literacy Numeracy Based Of Local Wisdom Context of Maluku. Jurnal Magister Pendidikan Matematika (JUMADIKA), 6(2), 59–67. https://doi.org/10.30598/jumadikavol6iss2year2024page59-67

Putri, A. O. (2021). Pengembangan Tes Diagnostik Berbentuk Uraian Berdasarkan Ranah Kognitif Untuk Mengetahui Letak Kesulitan Belajar Siswa Smp Pada Materi Bangun Ruang. 10(1), 40–54.

Rachmah, D. Y. (2018). Pengembangan Instrumen Asesmen Diagnostik Untuk Melihat Pemahaman Konsep Aljabar.

Rahayu Wigati, M., M. Noer, A., & Anwar, L. (2023). Validity of instruments for assessment of scientific literacy and critical thinking of students based on multiple intelligence in acid-base material. Jurnal Pendidikan Kimia, 15(2), 91–99. https://doi.org/10.24114/jpkim.v15i2.43681

Rezky, M., Hidayanto, E., & Parta, I. N. (2022). Kemampuan Literasi Numerasi Siswa Dalam Menyelesaikan Soal Konteks Sosial Budaya Pada Topik Geometri Jenjang Smp. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(2), 1548. https://doi.org/10.24127/ajpm.v11i2.4879

Shrotryia, V. K., & Dhanda, U. (2019). Content Validity of Assessment Instrument for Employee Engagement. SAGE Open, 9(1). https://doi.org/10.1177/2158244018821751

Simbolon, A., & Nurjanah, N. (2024). Measuring Mathematical Literacy Skills of Indonesian Junior High School Students in Solving PISA-Like Problems. Jurnal Pendidikan MIPA, 25(3), 1259–1272. https://doi.org/10.23960/jpmipa/v25i3.pp1259-1272

Stanggo, P. D., & Susanto, E. (2025). Development of Contextualised Numeracy Test Items for the Minimum Competency Assessment for Senior High School Students in Bengkulu. In International Journal of Innovation and Education Research (Vol. 4). IJIER) Publisher: Unib Press.

Supriyadi, S., Lia, R. M., Rusilowati, A., Isnaeni, W., Susilaningsih, E., & Suraji, S. (2022). Penyusunan Instrumen Asesmen Diagnostik untuk Persiapan. Journal of Community Empowerment, 2(2), 63–69. https://journal.unnes.ac.id/sju/index.php/jce

Susanta, A., Sumardi, H., Susanto, E., & Retnawati, H. (2023). Mathematics literacy task on number pattern using Bengkulu context for junior high school students. Journal on Mathematics Education, 14(1), 85–102. https://doi.org/10.22342/JME.V14I1.PP85-102

Tamur, M., Jehadus, E., Nendi, F., Mandur, K., & Murni, V. (2020). Assessing the effectiveness of the contextual teaching and learning model on students’ mathematical understanding ability: A meta-analysis study. Journal of Physics: Conference Series, 1657(1). https://doi.org/10.1088/1742-6596/1657/1/012067

Utariningsih, U. (2018). Pengembangan tes diagnostik kognitif berkarakter HOTS matematika di sekolah menengah pertama The development of cognitive diagnostic tests infringing HOTS mathematics in junior high school. Jurnal Penelitian Dan Evaluasi Pendidikan, 6(2), 171–179. http://jurnal.ustjogja.ac.id/index.php/wd

Zhan, P., Li, F., & Jiao, H. (2021). Editorial: Cognitive Diagnostic Assessment for Learning. In Frontiers in Psychology (Vol. 12). Frontiers Media S.A. https://doi.org/10.3389/fpsyg.2021.806636

Zhang, Y., Zhao, B., Jian, M., & Wu, X. (2025). Cognitive diagnostic analysis of mathematics key competencies based on PISA data. PLoS ONE, 20(2 February). https://doi.org/10.1371/journal.pone.0315539

Published

30-06-2026

Issue

Section

Articles