The Real Connections, Meaningful Algebra: Developing an Algebra Assesment Instrument Based on Construct Centered Design

Authors

  • Sahidi Sahidi Program Studi Pendidikan Matematika, Universitas Negeri Makassar
  • Usman Mulbar Mathematics Education Study Program, Universitas Negeri Makassar
  • Alimudin Tampa Program Studi Pendidikan Matematika, Universitas Negeri Makassar

DOI:

https://doi.org/10.55227/ijhess.v6i1.2437

Keywords:

Assessment Instrument, Contextual, Construct Centered Design, Junior High School Algebra, Mathematical Connection Ability

Abstract

The low mathematical connection ability of junior high school students, particularly in algebra, remains a fundamental problem unsystematically addressed in Indonesian assessment practice. This study aims to develop a contextual-based algebraic connection instrument using the Construct Centered Design (CCD) approach that is valid, practical, and effective for ninth-grade junior high school students. A Research and Development (R&D) method was employed with a four-phase CCD design: (1) construct definition, (2) evidence design, (3) task design, and (4) evaluation. The instrument was piloted with 34 ninth-grade students at SMP Negeri 1 Kabupaten Sorong in the 2024/2025 academic year. Results indicate: (1) instrument validity reached 88.3% (very valid); (2) teacher practicality 85.0% and student practicality 82.6% (both very practical); (3) classical completeness 79.4% (effective). Student response analysis showed that the CCD based instrument can stratify students' connection profiles across three dimensions: inter-concept connections, cross-disciplinary connections, and contextual connections. The implications affirm the urgency of integrating construct-based approaches in developing mathematics assessment instruments to support Merdeka Curriculum implementation.

References

Elvyn Kemala Azzahra1, Hafiziani Eka Putri2, F. N. (2024). Development of Test Instruments To Improve Mathematical Connection Skills Using Higher Order Thinking In Elementary School Students. Pendas : Jurnal Ilmiah Pendidikan Dasar, 09(4). https://journal.unpas.ac.id/index.php/pendas/article/view/21510/10315

Gravemeijer, K., Stephan, M., Julie, C., Lin, F., & Ohtani, M. (2017). What Mathematics Education May Prepare Students for the Society of the Future ? International Journal of Science and Mathematics Education, 15, 105–123. https://doi.org/10.1007/s10763-017-9814-6

Haertel, E. H. (2004). ). Interpretive argument and validity argument: A response to Kane. Teachers College Record, 106(3), 465–477. https://doi.org/https://doi.org/10.1111/j.1467-9620.2004.00351.x

Hasbullah, H. (2020). Analisis Butir Soal Matematika UN SMP / MTs Tahun 2018 / 2019 Ditinjau dari Kriteria Koneksi Matematis. Efektor, 7(1), 73–79. https://doi.org/10.29407/e.v87i1.14364

Hernandez, P., & Pauline, M. (2017). “ Why do I have to learn this ?” A case study on students ’ experiences of the relevance of mathematical modelling activities. ZDM, 0(0), 0. https://doi.org/10.1007/s11858-017-0904-2

Ibrahim, N. L. (2025). Analisis Literatur Penggunaan Model Rasch untuk Validasi Instrumen Asesmen Pendidikan : Tren , Temuan , dan Implikasi. Lencana: Jurnal Inovasi Ilmu Pendidikan, 3(2). https://doi.org/https://doi.org/10.55606/lencana.v3i2.5012

Ismail, R. (2024). Construct validity of mathematics high order thinking skills instrument with cultural context: Confirmatory factor analysis. AIP Conference Proceedings, 3150(1). https://doi.org/10.1063/5.0228143

Kaur, B., & Lam, T. T. (2012). Reasoning , Communication and Connections in Mathematics : An Introduction. Researchgate, 1–10. https://doi.org/10.1142/9789814405430_0001

Kieran, C. (2022). Early Algebra. Springer. https://library.oapen.org/bitstream/handle/20.500.12657/27822/1002183.pdf?sequence=1&isAllowed=y

Mendikbudristek. (2022). Kepmendikbudristek Nomor 56 Tahun 2022 tentang Pedoman Penerapan Kurikulum dalam Rangka Pemulihan Pembelajaran. Mendikbudristek.

Mislevy, R. J. (2007). Implications of Evidence-Centered Design for Educational Testing. Educational Measurement: Issues and Practice, 25(4). https://doi.org/https://doi.org/10.1111/j.1745-3992.2006.00075.x

NCTM. (2000). Principles and Standards for School Mathematics. . Reston, VA: National Council of Teachers of Mathematics.

OECD. (2023). PISA 2022 Results (Volume I): The State of Learning and Equity in Education. OECD Publishing.

Pellegrino, J. W. (2001). Knowing What Students Know: The Science and Design of Educational Assessment. National Academy Press.

Peralta, Y. N. K. L. W. (2019). A Psychometric Analysis of the Algebra and Precalculus Concept Readiness Assessment for Community Colleges. Journal of Psychoeducational Assessment, 38(3). https://doi.org/3 https://doi.org/10.1177/0734282919846019

Rawani, D. (2021). Pengembangan Soal Matematika Tipe PISA Konten Space and Shape. Prisma, 10(2), 193–207.

Schoenfeld, A. H. (2023). Chapter 6 A Theory of Teaching. University of California,. https://doi.org/https://doi.org/10.1007/978-3-031-25613-4_6

Seto, S. B., Bupu, L. V., Idung, M. F., Nalu, M. I., Sabu, M. A., Wae, M. I., & Wea, K. (2026). Penerapan Asesmen Formatif Dalam Meningkatkan Berpangkat Di Smp Kristen Ende. Jurnal Pendidikan Matematika, 9(1), 9–16.

Suciati. (2020). Design and Validation of Mathematical Literacy Instruments for Assessment for Learning in Indonesia. Europen Journal of Educational Research, 9(2). https://doi.org/10.12973/eu-jer.9.2.865

Tang, F. (2020). The Development of an Instrument for Longitudinal Learning Diagnosis of Rational Number Operations Based on Parallel Tests. PMC. https://doi.org/10.3389/fpsyg.2020.02246

Wilson. (2005). Constructing measures: An item response modeling approach. Lawrence Erlbaum Associates.

Zieky, M. J. (2014). An introduction to the use of evidence-centered design in test development. Psicología Educativa, 20, 79–87. https://doi.org/:10.1016/j.pse.2014.11.003

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Published

2026-08-12

How to Cite

Sahidi, S., Mulbar, U., & Tampa, A. (2026). The Real Connections, Meaningful Algebra: Developing an Algebra Assesment Instrument Based on Construct Centered Design . International Journal Of Humanities Education and Social Sciences (IJHESS), 6(1). https://doi.org/10.55227/ijhess.v6i1.2437