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Understanding the Level of Mathematics Knowledge of Students Who Joined ISEC

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS,volume 384)

Abstract

The low pass rate in the curricular units of Differential and Integral Calculus, taught throughout the first semester of the first year of engineering degrees at the Coimbra Institute of Engineering, led to the development of a diagnostic test with the intention of identifying the degree of knowledge considered essential for the full integration [1]. This diagnostic test was constructed considering the guidelines of European Society for Engineering Education. Regarding the minimum knowledge recommended for entering higher education for an engineering course and according to the basic and secondary education program of Portugal, the 20 questions were grouped taking into account the topics algebra, analysis and calculus, geometry and trigonometry. The analysis of the data, from academic years 2013/2014 to 2019/2020, allows us to analyze the level of knowledge in terms of mathematics content of the students as well as to realize in which topics they show the greatest difficulties.

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References

  1. Bigotte de Almeida, M.E., Queiruga-Dios, A., Cáceres, M.J.: Differential and Integral Calculus in First-Year Engineering Students: A Diagnosis to Understand the Failure. Mathematics, 9(1), 61 (2021). https://doi.org/10.3390/math9010061.

  2. Tackling the Mathematics Problem. London Mathematical Society, Institute of Mathematics and its Applications, Royal Statistical Society (1995).

    Google Scholar 

  3. Savage, M., Kitchen, A., Sutherland, R., Porkess, R.: Measuring the Mathematics Problem. Engineering Council (2000).

    Google Scholar 

  4. Lawson, D., Croft, T., Waller, D.: Mathematics support past, present and future. EE 2012 - International Conference on Innovation, Practice and Research in Engineering Education, Conference Proceedings (2012).

    Google Scholar 

  5. Gill, O., O’Donoghue, J., Faulkner, F., Hannigan., A.: Trends in Performance of Science and Technology Students (1997-2008) in Ireland. International Journal of Mathematical Education in Science and Technology 41(3), 323–339 (2010).

    Google Scholar 

  6. Treacy, P., Faulkner, F.: Trends in Basic Mathematical Competencies of Beginning Undergraduates in Ireland, 2003-2013. International Journal of Mathematical Education in Science and Technology, 46(8), 1182–1196 (2015). https://doi.org/10.1080/0020739X.2015.1050707.

  7. Koch, D., Herrin, G.D.: Intervention strategy for improving success rates in calculus. Proceedings of the 2006 ASEE Annual Conference and Exposition, 775 (2006).

    Google Scholar 

  8. Gill, O., O’Donoghue, J.: The mathematical deficiencies of students entering third level: An item by item analysis of student diagnostic tests. Proceedings of Second National Conference on Research in Mathematics Education, St. Patrick’s College, Dublin, 228–239 (2007).

    Google Scholar 

  9. Hieb, J., Lyle, K., Ralston, P., Chariker, J.: Predicting performance in a first engineering calculus course: implications for interventions. International Journal of Mathematical Education in Science and Technology, 46(1), 40–55 (2015).

    Google Scholar 

  10. Nite, S.B., Capraro, R.M., Capraro, M.M., Allen, G.D., Pilant, M., Morgan, J.: A bridge to engineering: A personalized precalculus (bridge) program. 2015 IEEE Frontiers in Education Conference (FIE), 1–6 (2015). https://doi.org/10.1109/FIE.2015.7344358.

  11. Bigotte, E., Gomes, A., Branco, J.R., Pessoa, T.: The influence of educational learning paths in academic success of mathematics in engineering undergraduate. 2016 IEEE Frontiers in Education Conference, 1–6 (2016).

    Google Scholar 

  12. O’Sullivan, C., Bhaird, C., Fitzmaurice, O., Fhloinn, E.: An Irish Mathematics Learning Support Network (IMLSN) Report on Student Evaluation of Mathematics Learning Support: Insights from a large scale multi-institutional study. National Centre for Excellence in Mathematics and Science Teaching and Learning (NCEMSTL):Ireland (2014).

    Google Scholar 

  13. SEFI: A core curriculum in Mathematics for the European engineer. Mathematics Working Group (1992). http://sefi.htw-aalen.de/Curriculum/CoreCurriculum1992.pdf.

  14. OEC: Mathematical Education of Enginners. OECD Report (1965).

    Google Scholar 

  15. SEFI: Mathematics for the European Engineer-A Curriculum for the Twenty-First Century. Mathematics Working Group (2002). http://sefi.htw-aalen.de/Curriculum/sefimarch2002.pdf.

  16. Direção-Geral da Educação. Relatórios/Estatísticas. https://www.dge.mec.pt/relatoriosestatisticas-0.

  17. Carr, M., Fidalgo, C., Bigotte, E., Branco, J.R., Santos, V., Murphy, E., Fhloinn, E.N.: Mathematics diagnostic testing in Engineering: an international comparison between Ireland and Portugal. European Journal of Engineering Education 40(5), 546-556 (2015).

    Google Scholar 

  18. Niss, M.: Quantitative literacy and mathematical competencies. Quantitative literacy: why numeracy matters for school and colleges. Princeton: National Council on Education and the Disciplines, 215-220 (2003).

    Google Scholar 

  19. OECD: PISA 2009 Results: Executive Summary (2010). https://www.oecd.org/pisa/pisaproducts/46619703.pdf.

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Correspondence to M. E. Bigotte de Almeida .

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Bigotte de Almeida, M.E., Branco, J.R., Margalho, L., Queiruga-Dios, A., Cáceres, M.J. (2022). Understanding the Level of Mathematics Knowledge of Students Who Joined ISEC. In: Yilmaz, F., Queiruga-Dios, A., Santos Sánchez, M.J., Rasteiro, D., Gayoso Martínez, V., Martín Vaquero, J. (eds) Mathematical Methods for Engineering Applications. ICMASE 2021. Springer Proceedings in Mathematics & Statistics, vol 384. Springer, Cham. https://doi.org/10.1007/978-3-030-96401-6_23

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