Assessing Topic Alignment in Pre-tertiary TVET Core Mathematics
A Ghanaian Case Study (2011-2023)
DOI:
https://doi.org/10.53449/yzxenc70Keywords:
curriculum standards, exit examination, mathematics alignment, topics, TVETAbstract
Mathematics plays a pivotal role in Technical and Vocational Education and Training (TVET). However, persistent underperformance in the subject limits the academic and career progression of many Ghanaian learners. While various studies have investigated factors influencing achievement, little attention has been paid to the alignment between exit examinations and the curriculum. This study examines the alignment of topics in Ghana’s pre-tertiary TVET Core Mathematics curriculum and exit examinations from 2011 to 2023. Using content analysis and Porter’s alignment model, the study analysed topic distributions in both Paper 1 and Paper 2, computing alignment indices for each year. The results revealed significant variation, with 2017 achieving the highest index (0.807) and 2019 the lowest (0.563). Number and Numeration emerged as the most frequently assessed topic, while areas such as Coordinate Geometry and Trigonometry were minimally represented. Correlation analysis indicated that alignment had a weak, statistically insignificant relationship with learner pass rates. This suggests that while topic alignment is necessary, it alone cannot drive academic success. Other factors. such as instructional quality, resource availability, and cognitive alignment. may also be critical. The study highlights imbalances in topic coverage and misalignment between curriculum intent and assessment practices, offering empirical evidence to inform curriculum and assessment reforms in Ghana’s TVET sector.
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Adelabu, F. M., & Pharamela, S. (2024). Teaching relevant mathematics topics to prepare Technical and Vocational Education Training college students for workforce: Lecturers’ perspective. IntechOpen. https://doi.org/10.5772/intechopen.1005459
Adu, P. (2019). A step-by-step guide to qualitative data coding. Routledge. https://doi.org/10.4324/9781351044516
Aga, F. J. (2023). Learning outcomes, instruction, and assessment alignment: The case at two Ethiopian universities. International Journal of Research Publications, 135(1), 206–217. https://doi.org/10.47119/IJRP10013511020235573
Ayene, M., Damtie, B., & Kriek, J. (2010). Mismatch between the progression of the mathematics course and the level of mathematics required to do advanced physics. Latin-American Journal of Physics Education, 4(3), 538–546. https://dialnet.unirioja.es/servlet/articulo?codigo=3696853
Ayenew, E., & Yohannes, A. G. (2022). Assessing higher education exit exam in Ethiopia: Practices, challenges and prospects. Science Journal of Education, 10(2), 79. https://doi.org/10.11648/j.sjedu.20221002.15
Bhaw, N., & Kriek, J. (2020). The alignment of the Grade 12 Physics examination with the CAPS curriculum: (November 2014–March 2018). South African Journal of Education, 40(1), 1–9. https://doi.org/10.15700/saje.v40n1a1676
Blömeke, S., Olsen, R. V., & Suhl, U. (2016). Relation of student achievement to the quality of their teachers and instructional quality. In S. Blömeke, J. Gustafsson, & R. V. Olsen (Eds.), Modeling student achievement (pp. 21–50). Springer. https://doi.org/10.1007/978-3-319-41252-8_2
Boafo, F. A. (2017). The impact of Mathematics on academic performance of students in TVET institutions in Ghana. African Journal of Applied Research, 2(2), 110–120. https://ajaronline.com/index.php/AJAR/article/view/223
Brown, B., Nuberg, I., & Llewellyn, R. (2017). Stepwise frameworks for understanding the utilisation of conservation agriculture in Africa. Agricultural Systems, 153, 11–22. https://doi.org/10.1016/j.agsy.2017.01.012
Cil, E. (2015). Alignment between Turkish middle school science curriculum standards and high school entrance examination. Journal of Turkish Science Education, 12(2), 33–48. https://doi.org/10.36681/
Creswell, J. W., & Plano-Clark, V. L. (2018). Designing and conducting mixed methods research (3rd ed.). SAGE Publications.
Creswell, J. W., & Creswell, J. D. (2018). Research design: Qualitative, quantitative, and mixed methods approaches (5th ed.). SAGE Publications.
Edwards, N. (2010). An analysis of the alignment of the Grade 12 Physical Sciences examination and the core curriculum in South Africa. South African Journal of Education, 30(4), 571–590. https://hdl.handle.net/10520/EJC32253
Fokuo, M., Lassong, B. S., & Kwasi, S. F. (2022). Students’ poor mathematics performance in Ghana: Are there contributing factors? Asian Journal of Education and Social Studies, 16–21. https://doi.org/10.9734/ajess/2022/v30i430729
Fulmer, G. W., & Polikoff, M. S. (2014). Tests of alignment among assessment, standards, and instruction using generalized linear model regression. Educational Assessment, Evaluation and Accountability, 26, 225–240. https://doi.org/10.1007/s11092-014-9196-z
Ghahramanian, A., Rezaei, M., & Mohammadi, E. (2015). Content validity and reliability of the patient satisfaction scale with nursing care. Iranian Journal of Nursing and Midwifery Research, 20(6), 660–665. https://doi.org/10.4103/1735-9066.170001
Gökdağ, K., & Özmantar, M. F. (2024). Emerging research themes in mathematics education: A topic modeling analysis of most influential journals (2019–2023). International Journal of Progressive Education, 20(6), 16–32. https://doi.org/10.29329/ijpe.2024.1078.2
Jones, J. B., Kim, M., & Park, B. G. (2020). The wage penalty for married women of career interruptions: Evidence from the 1970s and the 1990s. Oxford Bulletin of Economics and Statistics, 82(4). https://doi.org/10.1111/obes.12356
Kellaghan, T., & Greaney, V. (2019). Public examinations examined. World Bank Group. https://openknowledge.worldbank.org/handle/10986/32352
Kober, K. L. (2023). The alignment between the algebra curriculum at a Texas high school and the mathematics section of the Texas Success Initiative Assessment [Doctoral dissertation, Walden University]. Walden Dissertations and Doctoral Studies. https://scholarworks.waldenu.edu/dissertations/14267/
Krippendorff, K. (2018). Content analysis: An introduction to its methodology (4th ed.). SAGE Publications. https://doi.org/10.4135/9781071878781
Kuranchie, A. (2021). Research made easy (3rd ed.). Bookworm Publications.
Maass, K., Geiger, V., Romero Ariza, M., & Goos, M. (2019). The role of Mathematics in interdisciplinary STEM education. ZDM – Mathematics Education, 51(6), 869–884. https://doi.org/10.1007/s11858-019-01100-5
MacFarlane, L. A., & Boulet, G. (2017). Multiple-choice tests can support deep learning! Proceedings of the Atlantic Universities’ Teaching Showcase, 21, 61–66. https://ojs.library.dal.ca/auts/article/view/8430
Martone, A., & Sireci, S. G. (2009). Evaluating alignment between curriculum, assessment, and instruction. Review of Educational Research, 79(4), 1332–1361. https://doi.org/10.3102/0034654309341375
Matthews, R., & Kyi, W. W. (2019). Alignment between the learning objectives and examination: A comparative analysis of high-school physics curricula in Myanmar and South Australia. Scholars Bulletin, 5(11), 671–680. https://doi.org/10.36348/sb.2019.v05i11.011
National Council for Curriculum and Assessment. (2021). Mathematics Common Core Programme (CCP) for JHS 1 (B7) – JHS 3 (B9). Ministry of Education. https://nacca.gov.gh/wp-content/uploads/2023/06/MATHEMATICS.pdf
Niss, M. (2015). Mathematical competencies and the learning of mathematics: The Danish KOM project. In Y. Li & G. Kaiser (Eds.), Mathematical competencies in the mathematics curriculum (pp. 115–129). Springer. https://doi.org/10.1007/978-3-319-15581-5_8
Nortvedt, G. A., & Buchholtz, N. (2018). Assessment in mathematics education: Responding to issues regarding methodology, policy and equity. ZDM – Mathematics Education, 50(4), 555–570. https://doi.org/10.1007/s11858-018-0931-2
O’Meara, N., Fitzmaurice, O., & Johnson, P. (2017). Old habits die hard: An uphill struggle against rules without reason in mathematics teacher education. European Journal of Science and Mathematics Education, 5(1), 91–109. https://eric.ed.gov/?id=EJ1129985
Oti-Boadi, M. (2017). Exploring the lived experiences of mothers of children with intellectual disability in Ghana. SAGE Open, 7(4), 1–12. https://doi.org/10.1177/2158244017745578
Pervez, K., Muhammad, Y., & Waqar, Y. (2022). Higher-order thinking: An analysis of the prescribed versus tested curricula in private secondary schools in Pakistan. Journal of Social Sciences Advancement, 3(3), 165–175. https://doi.org/10.52223/jssa22-030308-44
Polikoff, M. S., Porter, A. C., & Smithson, J. L. (2011). How well aligned are state assessments of student achievement with state content standards? American Educational Research Journal, 48(4), 965–995. https://doi.org/10.3102/0002831211410684
Porter, A. C. (2002). Measuring the content of instruction: Uses in research and practice. Educational Researcher, 31(7), 3–14. https://doi.org/10.3102/0013189X031007003
Roach, A. T., Niebling, B. C., & Kurz, A. (2008). Evaluating the alignment among curriculum, instruction, and assessments: Implications and applications for research and practice. Psychology in the Schools, 45(2), 158–176. https://doi.org/10.1002/pits.20282
Sa’di, D. R., Firdaus, N. P. N., Sinaga, R. D. H., & Yonvitra, N. H. (2023). Kemampuan siswa SMP dalam menyelesaikan persoalan matematika dasar. Jurnal Pendidikan Matematika. https://doi.org/10.47134/ppm.v1i2.232
Seitz, P. (2017). Curriculum alignment among the intended, enacted, and assessed curricula for Grade 9 Mathematics. Journal of the Canadian Association for Curriculum Studies, 15(1), 72–94. https://doi.org/10.25071/1916-4467.40286
Smith, T. S. (2014). Curricula alignment strategies to support student success in Algebra I: Research brief. U.S. Department of Education. https://www2.ed.gov/programs/dropout/curricularalignment092414.pdf
Spath, Y., & Christene, E. (2015). Alignment between the California Common Core Content Standards for Higher Mathematics (9–12) and the California State University Entry-Level Mathematics Placement Test. ProQuest Dissertations Publishing. https://www.proquest.com/openview/e9ff072f7c3880f138236995720bb733/1
UNESCO. (2016). Strategy for technical and vocational education and training (TVET) 2016–2021. UNESCO. https://unesdoc.unesco.org/ark:/48223/pf0000245239
Wang, H., Zhang, C., Qin, G., Liu, Y., Jiang, J., & Li, Y. (2018). Alignment between the curriculum standards and mathematics academic proficiency test in junior middle school. Kexue Jiaoyu Yanjiu. (in Chinese)
Wang, Z., & McDougall, D. (2019). Curriculum matters: What we teach and what students gain. International Journal of Science and Mathematics Education, 17(6), 1129–1149. https://doi.org/10.1007/s10763-018-9922-0
Wares, A. (2019). Geometry and trigonometry interplay. Mathematics Teacher: Learning and Teaching PK–12, 112(5), 400. https://doi.org/10.5951/MATHTEACHER.112.5.0400
Watson, J., & Smith, C. (2022). Statistics education at a time of global disruption and crises: A growing challenge for the curriculum, classroom, and beyond. Curriculum Perspectives, 42(2), 171–179. https://doi.org/10.1007/s41297-022-00167-7
Webb, N. L. (1997). Determining alignment of expectations and assessments in mathematics and science education. NISE Brief, 1(2). https://files.eric.ed.gov/fulltext/ED405190.pdf
Webb, N. L. (2007). Issues related to judging the alignment of curriculum standards and assessments. Applied Measurement in Education, 20(1), 7–25. https://doi.org/10.1080/08957340709336738
Wiberg, M. (2019). The relationship between TIMSS mathematics achievements, grades, and national test scores. Education Inquiry, 10(4), 328–343. https://doi.org/10.1080/20004508.2019.1607702
Wong, M. K., Hong, D. Z. H., Wu, J., Ting, J. J. Q., Goh, J. L., Ong, Z. Y., ... & Krishna, L. K. R. (2022). A systematic scoping review of undergraduate medical ethics education programs from 1990 to 2020. Medical Teacher, 44(2), 167–186. https://doi.org/10.1080/0142159X.2021.1970729
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