Analyzing Enrolment Patterns: Modified Stacked Ensemble Statistical Learning-Based Approach to Educational Decision-Making
Abstract
In the realm of global Science, Technology, Engineering, and Mathematics (STEM) education, the declining enrollment in advanced mathematics courses poses a substantial challenge to the development of a robust STEM workforce and its role in sustainable economic growth. The study’s primary objectives were to identify the determinants that impacted urban upper-secondary students' enrolment in Additional Mathematics within the Kuantan District, Pahang, Malaysia, and to develop a novel modified stacked ensemble statistical learning-based algorithm based on these determinants, following the CRISP-DM data science methodology. To pursue these objectives, this study collected and analyzed 389 responses from the first-batch urban upper-secondary students in the Kuantan District who had enrolled in the newly revised Standard Based Curriculum for Secondary Schools (KSSM’s) Additional Mathematics syllabus, utilizing a modified research questionnaire and a one-stage cluster sampling technique. The findings revealed that determinants such as education disciplines, ethnicity, gender, mathematics self-efficacy, peer influence, and teacher influence had significantly impacted students' decisions to enroll in Additional Mathematics. Moreover, the introduction of the novel modified stacked ensemble statistical learning-based algorithm had improved predictive accuracy compared to traditional dichotomous logistic regression algorithms on average, particularly at optimal training-to-test ratios of 70:30, 80:20, and 90:10. These insights were valuable for shaping educational policy and practice, emphasizing the importance of promoting STEM education initiatives and encouraging educators and counselors to empower students to pursue STEM careers while actively promoting gender equality within STEM fields.References
Bandura, A. 1977. Self-efficacy: toward a unifying theory of behavioral change. Psychological Review 84(2): 191-215. https://doi.org/10.1037/0033-295X.84.2.191
Bernama. 2021. Malaysia needs to increase percentage of students in STEM-Dr. Adham. New Straits Times, 9 October.
https://www.nst.com.my/news/nation/2021/10/734985/malaysia-needs-increase-percentage-students-stem-dr-adham. Retrieved on 15 December 2023.
Blotnicky, K. A., Franz-Odendaal, T., French, F., & Joy, P. 2018. A study of the correlation between STEM career knowledge, mathematics self-efficacy, career interests, and career activities on the likelihood of pursuing a STEM career among middle school students. International Journal of STEM Education 5: 22. https://doi.org/10.1186/s40594-018-0118-3
Bowden, M., Bartkowski, J. P., Xu, X., & Jr., R. L. 2018. Parental occupation and the gender math gap: examining the social reproduction of academic advantage among elementary and middle school students. Social Sciences 7(1): 6. https://doi.org/10.3390/socsci7010006
Chong, C. C., Lin, L. W., Chuen, L. C., Chai, T. T., & Yi, Y. W. 2014. A study on factors influencing students’ intention to pursue higher education. Bachelor Research Project, Universiti Tunku Abdul Rahman, Malaysia.
Chuan, Z. L., Ghani, N. A. M., Liong, C. -Y., & Jemain, A. A. 2013. Automatic anchor point detection approach for firearms firing pin impression. Sains Malaysiana 42(9): 1339-1344.
Chuan, Z. L., Liong, C. -Y., Yusoff, W. N. S. W., Aminuddin, A. S. A., & Tan, E. H. 2021. Identifying factors that affected student enrolment in Additional Mathematics for urban areas of Kuantan District. Journal of Physics: Conference Series 1988: 012047. https://doi.org/10.1088/1742-6596/1988/1/012047
Department of Statistics Malaysia. 2023. Labour Force Survey (LFS) time series statistics by state, 1982-2022: employed persons by industry, Malaysia/states, 1982-2022. https://www.dosm.gov.my/portal-main/time-serie [1 January 2024]
Dom, T. S. A. M. 2019. KSSM perkasakan pelajar secara holistik. Berita Harian,
https://www.bharian.com.my/kolumnis/2019/12/636767/kssm-perkasakan-pelajar-secara-holistik, 9 December. Retrieved on 15 December 2023.
Halid, N. H. M., & Khalid, Z. M. 2022. Modeling graduate employability in Malaysia using logistic regression. Proceedings of Science and Mathematics 9: 1-11.
Halim, L., Rahman, N. A., Ramli, N. A. M., & Mohtar, L. E. 2018. Influence of students’ STEM self-efficacy on STEM and physics career choice. AIP Conference Proceedings 1923(1): 020001. https://doi.org/10.1063/1.5019490
Hiae, T. E. 2020. Logistic regression analysis in determining the enrolment likelihood of Additional Mathematics for Kuantan District. Master’s Dissertation, Universiti Malaysia Pahang.
Idris, R., & Bacotang, J. 2023. Exploring STEM education trends in Malaysia: building a talent pool for Industrial Revolution 4.0 and Society 5.0. International Journal of Academic Research in Progressive Education & Development 12(2): 381-393.
http://dx.doi.org/10.6007/IJARPED/v12-i2/16825
Kae, W. J. 2010. Faktor-faktor yang mempengaruhi pembelajaran Matematik Tambahan dalam kalangan pelajar tingkatan empat. Bachelor Final Year Project Report, Universiti Teknologi Malaysia.
Kaleva, S., Pursiainen, J., Hakola, M., Rusanen, J. & Muukkonen, H. 2019. Students’ reasons for STEM choices and the relationship of mathematics choice to university admission. International Journal of STEM Education 6: 43. https://doi.org/10.1186/s40594-019-0196-x
Kamsi, N. S., Firdaus, R. B. R., Razak, F. D. A., & Siregar, M. R. 2019. Realizing Industry 4.0 through STEM education: but why STEM is not preferred?. IOP Conference Series: Materials Science and Engineering 506: 012005. https://doi.org/10.1088/1757-899X/506/1/012005
Malay Mail, New KSSM, KSSR curriculum to be implemented in 2016, says education minister. Malay Mail, 31 December.
https://www.malaymail.com/news/malaysia/2016/12/31/new-kssm-kssr-curriculum-to-be-implemented-in-2017-says-education-minister/1283505. Retrieved on 15 December 2023.
Ministry of Education Malaysia. 2019. Kurikulum Standard Sekolah Menengah Matematik Tambahan: Dokumen Standard Kurikulum dan Pentaksiran Tingkatan 4 dan 5 (Edisi Bahasa Inggeris). http://bpk.moe.gov.my/index.php/terbitan-bpk/kurikulum-sekolah- menengah/category/397-form-4-and-5 [15 December 2023]
Mohamad, N. A., Ali, Z., Noor, N. M. & Baharum, A. 2016. Multinomial logistic regression modelling of stress level among secondary school teachers in Kubang Pasu District, Kedah. AIP Conference Proceedings 1750(1): 060018. https://doi.org/10.1063/1.4954623
Mohtar, L. E., Halim, L., Rahman, N. A., Maat, S. M., Iksan, Z. H., & Osman, K. 2019. A model of interest in STEM careers among secondary school students. Journal of Baltic Science Education 18(3): 404-416. https://doi.org/10.33225/jbse/19.18.404
Niu, L. 2017. Family socioeconomic status and choice of STEM major in college: an analysis of a national sample. College Student Journal 51(2): 298-312.
Panizzon, D. L., Geer, R., Paige, K., O’Keeffe, L., Schultz, L., Zeegers, Y., & Brown, L. 2018. Exploring the ‘hard facts’ around STEM in Australia: females, low socioeconomic status and absenteeism. International Journal of Innovation in Science and Mathematics Education 26(8): 30-44.
Radhi, N. A. M., & Arumugam, T. 2020. Rough start for new upper secondary curriculum. New Straits Times. 5 January.
https://www.nst.com.my/news/nation/2020/01/553638/rough-start-new-uppersecondarycurriculum#:~:text=For%20the%20STEM% 20package%2C%20students,)%3B%20or%20at%20least%20two. Retrieved on 15 December 2023.
Rahman, N. A., & Halim, L. 2022. STEM career interest: the effect of gender. Creative Education 13(8): 2530-2543. https://doi.org/10.4236/ce.2022.138160
Ramli, N. A. M., & Awang, M. 2020. Critical factors that contribute to the implementation of the STEM education policy. International Journal of Academic Research in Business & Social Sciences 10(1): 111-125. http://doi.org/10.6007/IJARBSS/v10-i1/6811
Razali, F., Talib, O., Manaf, U. K. A., & Hassan S. A. 2017. A measure of students motivation, attitude and parental influence towards interest in STEM career among Malaysian form four science stream student. International Journal of Academic Research in Business and Social Sciences 7: 245-264. https://doi.org/10.6007/IJARBSS/v7-i14/3665
Shah, S. R., Ukaegbu, C. I., Hamid, H. A., Rahim, M. H. A., & Chuan, Z. L. 2020. Statistical analysis of solvent polarity effects on phytochemicals extraction: multiple correspondence analysis (MCA) approach. Malaysian Journal of Mathematical Sciences 14(S): 139-153.
Shahali, E. H. M., Halim, L., Rasul, M. S., Osman, K., & Zulkifeli, M. A. 2017. STEM learning through engineering design: impact on middle secondary students’ interest towards STEM. EURASIA Journal of Mathematics Science and Technology Education 13(5): 1189-1211. https://doi.org/10.12973/eurasia.2017.00667a
Siregar, N. V., Rosli, R., & Nite, S. 2023. Students’ interest in Science, Technology, Engineering, and Mathematics (STEM) based on parental education and gender factors. International Electronic Journal of Mathematics Education 18(2): em0736. https://doi.org/10.29333/iejme/13060
The Vibes. 2023. Mosti to raise awareness on science, technology, innovation as enrollment drops.
https://www.thevibes.com/articles/news/96585/mosti-to-raise-awareness-on-science-technology-innovation-as-enrollment-drops#:~:text=He%20said%20that%20based%20on,from%2045.20%25%20to%2040.94%2 [15 January 2024]
Tripathi, S., Muhr, D., Brunner, M., Jodlbauer, H., Dehmer, M., & Emmert-Streib, F. 2021. Ensuring the robustness and reliability of data-driven knowledge discovery models in production and manufacturing. Frontiers in Artificial Intelligence 4:576892. https://doi.org/10.3389/frai.2021.576892
United States Department of Labor. 2023. Employment projections. https://www.bls.gov/emp/tables/stem-employment.htm [15 January 2024]
Wen, H. J. 2023. STEM-ming the decline.
https://www.thestar.com.my/news/education/2023/06/18/stem-ming-the-decline [15 January 2024]
Yao, A. M., Hui, L. S., Xin, N. Y., Chen, T. K., & Wei, W. K. 2016. Factors affecting students to enrol in finance related major. Bachelor Research Project, Universiti Tunku Abdul Rahman, Malaysia.
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