Pengembangan instrumen penilaian literasi matematika mahasiswa calon guru matematika

Lusi Eka Afri; Nurrahmawati Nurrahmawati

doi:10.61291//jpi.v6i4.264

Authors

Lusi Eka Afri, M.Si Universitas Pasir Pengaraian, Indonesia Author https://orcid.org/0009-0006-6815-2686
Dr. Nurrahmawati, M.Pd Universitas Pasir Pengaraian, Indonesia Author https://orcid.org/0000-0002-9834-0710

DOI:

https://doi.org/10.61291//jpi.v6i4.264

Keywords:

mathematical literacy, assessment instrument, prospective mathematics teachers, instrument development, literasi matematika, asesmen instrumen

Abstract

Twenty-first-century learning requires teachers, particularly prospective mathematics teachers, to possess strong mathematical literacy in order to guide students in understanding, applying, and interpreting mathematics in various real-life contexts. This study aimed to develop a valid and reliable mathematical literacy assessment instrument for prospective mathematics teachers by adopting the 4-D development model. The instrument focused on counting techniques and probability concepts, aligned with the AKM/IEA mathematical literacy cognitive levels of knowing, applying, and reasoning. The trial participants consisted of 64 undergraduate students enrolled in the mathematics education program at the second, third, and fourth-year levels. Content validity analysis using Aiken’s index indicated that all items were valid, with coefficients ranging from 0.80 to 0.95. Furthermore, construct validity testing through Confirmatory Factor Analysis (CFA) demonstrated adequate convergent validity, as indicated by an Average Variance Extracted (AVE) value of 0.581 and a composite reliability (ρc) value of 0.815. These findings indicate that the developed mathematical literacy assessment instrument meets validity and reliability criteria and is therefore suitable for use as an item bank in basic statistics courses or related subjects.

References

Aiken, L. R. (1985). Three coefficients for analyzing the reliability and validity of ratings. Educational and Psychological Measurement, 45(1), 131–142.

Arifin, Z. (2017). Kriteria instrumen dalam suatu penelitian. Jurnal Theorems (The Original Research of Mathematics), 2(1), 28–36.

Arifin, Z., & Retnawati, H. (2017). Pengembangan instrumen pengukur higher order thinking skills matematika siswa SMA kelas X. PYTHAGORAS: Jurnal Pendidikan Matematika, 12(1), 98–108.

Azwar, S. (2012). Penyusunan skala psikologis (Edisi ke-2). Pustaka Pelajar.

Fornell, C., & Larcker, D. F. (1981). Structural equation models with unobservable variables and measurement error: Algebra and statistics. Journal of Marketing Research, 18(3), 382–388.

Hair, J. F., Howard, M. C., & Nitzl, C. (2020). Assessing measurement model quality in PLS-SEM using confirmatory composite analysis. Journal of Business Research, 109, 101–110. https://doi.org/10.1016/j.jbusres.2019.11.069

Kaiser, H. F. (1974). An index of factorial simplicity. Psychometrika, 39(1), 31–36. https://doi.org/10.1007/BF02291575

Mardapi, D. (2012). Pengukuran, penilaian, dan evaluasi pendidikan. Nuha Medika.

Mullis, I. V. S., & Martin, M. O. (2017). TIMSS 2019 assessment framework. International Association for the Evaluation of Educational Achievement (IEA).

Nitko, A. J., & Brookhart, S. M. (2014). Educational assessment of students (7th ed.). Pearson Education.

OECD. (2023). PISA 2022 assessment and analytical framework. OECD Publishing. https://www.oecd-ilibrary.org/education/pisa-2022-assessment-and-analytical-framework_dfe0bf9c-en

OECD. (2024). PISA 2022 results (Volume III): Creative minds, creative schools. OECD Publishing. https://www.oecd-ilibrary.org/education/pisa-2022-results-volume-iii

Ojose, B. (2011). Mathematics literacy: Are we able to put the mathematics we learn into everyday use? Journal of Mathematics Education, 4(1), 89–100.

Retnawati, H. (2016). Analisis kuantitatif instrumen penelitian. Parama Publishing.

Ul Hassan, M., & Miller, F. (2019). Optimal item calibration for computerized achievement tests. Psychometrika, 84(4), 1101–1128. https://doi.org/10.1007/s11336-019-09673-6

UNESCO. (2021). Reimagining our futures together: A new social contract for education. UNESCO.

World Economic Forum. (2020). The future of jobs report 2020. World Economic Forum.