Learning Mathematics in Engineering Education: A Comparative Analysis between European, Latin American, and North American Contexts
Publication: Construction Research Congress 2024
ABSTRACT
Mathematics is fundamental to engineering and deserves careful attention from academics and researchers to provide strategies for improving the knowledge and skills of future practitioners. Although strategies to improve mathematics education have been widely published, there are still some problems in Latin American contexts. A systematic review of 54 articles on pedagogical experiences, published between 2000 and 2020, compared European, North American, and Latin American studies. The results show that European and North American studies are based on explicit theoretical approaches, while many Latin American studies do not explicitly have a theoretical framework. European studies are based on cognitivism and North American studies on cognitive constructivism, but Latin American studies do not refer to any approaches in particular. Trends in the pedagogical knowledge about mathematics education in engineering differ between countries. Therefore, engineering education research in Latin American contexts must provide more insights to improve mathematics education in engineering based on explicit theoretical frames.
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REFERENCES
ABET. (2021). 2022-2023 Criteria for Accrediting Engineering Programs Engineering Accreditation Commission. Https://Www.Abet.Org/Accreditation/Accreditation-Criteria/Criteria-for-Accrediting-Engineering-Programs-2022-2023/, 1–51.
Alvarado, H., Estrella, S., Retamal, L., and Galindo, M. (2018). Intuiciones probabilísticas en estudiantes de ingeniería: implicaciones para la enseñanza de la probabilidad. Revista Latinoamericana de Investigación En Matemática Educativa, 21(2). https://doi.org/10.12802/relime.18.2121.
Alvarado Martínez, H. A., Galindo Illanes, M. K., and Retamal Pérez, M. L. (2018). Evaluación del aprendizaje de la estadística orientada a proyectos en estudiantes de ingeniería. Educación Matemática, 30(3). https://doi.org/10.24844/em3003.07.
ASCE. (2019). Future World Vision - Inrastructure Reimagined. American Society for Civil Engineers, May.
Bain, K., Rodriguez, J. M. G., and Towns, M. H. (2019). Investigating Student Understanding of Rate Constants: When is a Constant “constant”? Journal of Chemical Education, 96(8), 1571–1577. https://doi.org/10.1021/acs.jchemed.9b00005.
Barajas, C., Parada, S. E., and Molina, J. G. (2018). Arithmetic procedures in variational phenomena problem-solving. Bolema - Mathematics Education Bulletin, 32(60), 75–91. https://doi.org/10.1590/1980-4415v32n60a04.
Baranová, L., and Katreničová, I. (2018). Role of descriptive geometry course in development of students’ spatial visualization skills. Annales Mathematicae et Informaticae, 49, 21–32. https://doi.org/10.33039/ami.2018.04.001.
Barros-Bernal, A. (2007). Estrategias de aprendizaje empleadas por los estudiantes para resolver problemas matemáticos. Scientia Et Technica, XIII(34). https://doi.org/10.22517/23447214.5675.
Bocco, M., and Canter, C. (2010). Errores en geometría: clasificación e incidencia en un curso preuniversitario. Revista Iberoamericana de Educación, 53(2). https://doi.org/10.35362/rie5321742.
Boigues, F. J., Llinares, S., and Estruch, V. D. (2010). Desarrollo de un esquema de la integral definida en estudiantes de ingenierias relacionadas con las ciencias de la naturaleza. un análisis a través de la lógica fuzzy. Revista Latinoamericana de Investigacion En Matematica Educativa, 13(3).
Caicedo, E., and Chacón, G. A. (2020). Aprendizaje de las ecuaciones diferenciales desde un enfoque cualitativo. Praxis & Saber, 11(26). https://doi.org/10.19053/22160159.v11.n26.2020.9856.
Campbell, J. I. D., and Xue, Q. (2001). Cognitive arithmetic across cultures. Journal of Experimental Psychology: General, 130(2), 299–315. https://doi.org/10.1037/0096-3445.130.2.299.
Carr, M., Fidalgo, C., Bigotte de Almeida, M. E., Branco, J. R., Santos, V., Murphy, E., and Ní Fhloinn, E. (2015). Mathematics diagnostic testing in engineering: an international comparison between Ireland and Portugal. European Journal of Engineering Education, 40(5), 546–556. https://doi.org/10.1080/03043797.2014.967182.
Carvajal-Olaya, P., Mosquera, J. C., and Artamónova, I. (2009). Modelos de predicción del rendimiento académico en matemáticas I en la universidad tecnológica de Pereira. Scientia et Technica, 3(43). https://doi.org/10.22517/23447214.2323.
Chahine, I. C. (2013). Delineating the Epistemological Trajectory of Learning Theories: Implications for Mathematics Teaching and Learning. Mathitudes, 1(1).
Coto Jiménez, M. (2019). Descubrimiento del estilo de aprendizaje dominante en estudiantes de Matemática Superior. Revista Educación. https://doi.org/10.15517/revedu.v44i1.38571.
Dahl, B. (2018). What is the problem in problem-based learning in higher education mathematics. European Journal of Engineering Education, 43(1), 112–125. https://doi.org/10.1080/03043797.2017.1320354.
Diefes-Dux, H. A., Hjalmarson, M. A., and Zawojewski, J. S. (2013). Student Team Solutions to an Open-Ended Mathematical Modeling Problem: Gaining Insights for Educational Improvement. Journal of Engineering Education, 102(1), 179–216. https://doi.org/10.1002/jee.20002.
Gainsburg, J. (2015). Engineering students’ epistemological views on mathematical methods in engineering. Journal of Engineering Education, 104(2), 139–166. https://doi.org/10.1002/jee.20073.
Gamboa Araya, R., Castillo Sánchez, M., and Hidalgo Mora, R. (2018). Errores matemáticos de estudiantes que ingresan a la universidad. Actualidades Investigativas En Educación, 19(1). https://doi.org/10.15517/aie.v19i1.35278.
Goold, E. (2012). The role of mathematics in engineering practice and in the formation of engineers. In National University of Ireland Maynooth Department of Design Innovation.
Hornæs, H. P., and Røyrvik, O. (2000). Aptitude, gender, and computer algebra systems. In Journal of Engineering Education (Vol. 89, Issue 3). https://doi.org/10.1002/j.2168-9830.2000.tb00532.x.
Klymchuk, S., Zverkova, T., Gruenwald, N., and Sauerbier, G. (2010). University students’ difficulties in solving application problems in calculus: Student perspectives. Mathematics Education Research Journal, 22(2). https://doi.org/10.1007/BF03217567.
Vygotsky, L. S. (2020). Mind in society: The development of higher psychological processes. In Accounting in Australia (RLE Accounting).
Lasheras, F. S., Gutiérrez, M. J. F., and Viña, J. C. (2019). Coordination between high school and university teachers in Spain to reduce mistakes in calculus. Mathematics, 7(9). https://doi.org/10.3390/math7090817.
Lattuca, L. R. (2001). Creating Interdisciplinarity: Interdisciplinary Research and Teaching among College and University Faculty. The Journal of General Education, 51(2).
Lerman, S. (2001). Cultural, discursive psychology: A sociocultural approach to studying the teaching and learning of mathematics. Educational Studies in Mathematics, 46(1–3). https://doi.org/10.1023/a:1014031004832.
Mallart, A., and Deulofeu, J. (2017). Estudio de indicadores de creatividad matemática en la resolución de problemas. Revista Latinoamericana de Investigación En Matemática Educativa, 20(2). https://doi.org/10.12802/relime.17.2023.
Mejía-Aguilar, G., Caballero-Márquez, M. M., Huggins, K., and Bautista-Rozo, L. X. (2020). ABET Accreditation in Colombian Higher Education Institutions: Opportunities and Barriers. Revista UIS Ingenierías, 19(4). https://doi.org/10.18273/revuin.v19n4-2020020.
NDJATCHI, M. K. C. (2019). Conocimientos previos de números complejos en Ingeniería. Ciencia, Docencia y Tecnología, Vol30No58. https://doi.org/10.33255/3058/477.
Newstetter, W. C., and Svinicki, M. D. (2015). Learning theories for engineering education practice. In Cambridge Handbook of Engineering Education Research. https://doi.org/10.1017/CBO9781139013451.005.
Pettersson, K., and Scheja, M. (2008). Algorithmic contexts and learning potentiality: A case study of students’ understanding of calculus. International Journal of Mathematical Education in Science and Technology, 39(6). https://doi.org/10.1080/00207390801986908.
Piercy, M., and Berlyne, D. (2001). Jean Piaget : The Psychology of Intelligence. In עלון הנוטע (Vol. 66).
Posso-Agudelo, A. (2005). Sobre el bajo aprovechamiento en el curso de matematicas i de la utp. Sobre El Bajo Aprovechamiento En El Curso de Matematicas i de La Utp., 2(28), 169–174. https://doi.org/10.22517/23447214.6853.
Posso-Agudelo, A., Uzuriaga-López, V., and López, J. D. C. (2007). Dificultades que aparecen en el proceso enseñanza-aprendizaje de la matemática al pasar del bachillerato a la universidad. Scientia et Technica, 2(34). https://doi.org/10.22517/23447214.5701.
PRISMA Group. (2009). PRISMA flowchart. In PLoS Medicine (Vol. 6).
Raychaudhuri, D. (2014). Adaptation and extension of the framework of reducing abstraction in the case of differential equations. International Journal of Mathematical Education in Science and Technology, 45(1), 35–57. https://doi.org/10.1080/0020739X.2013.790503.
Rodriguez, J. M. G., Santos-Diaz, S., Bain, K., and Towns, M. H. (2018). Using Symbolic and Graphical Forms to Analyze Students’ Mathematical Reasoning in Chemical Kinetics. Journal of Chemical Education, 95(12), 2114–2125. https://doi.org/10.1021/acs.jchemed.8b00584.
Ruiz Ledesma, E. F. (2018). Empleo de aplicaciones tecnológicas en el tratamiento de temas de Probabilidad y Estadística. Dificultades presentadas por los estudiantes en la formulación de planteamientos correctos/Use of technological applications in the treatment of Probability and Statistics subjects. Difficulties presented by students in formulating correct approaches. RIDE Revista Iberoamericana Para La Investigación y El Desarrollo Educativo, 8(16). https://doi.org/10.23913/ride.v8i16.339.
Söderlind, J., and Geschwind, L. (2017). More students of better quality? Effects of a mathematics and physics aptitude test on student performance. European Journal of Engineering Education, 42(4). https://doi.org/10.1080/03043797.2017.1295921.
Soneira Calvo, C., Souto Salorio, M. J., and Tarrío Tobar, A. D. (2017). Distintas competencias en el proceso de conversión del lenguaje natural al algebraico. Revista Portuguesa de Educação, 30(2). https://doi.org/10.21814/rpe.10096.
Tawil, S., Sachs-Israel, M., Le Thu, H., and Eck, M. (2016). Desglosar el Objetivo de Desarrollo Sostenible 4: Educación 2030. 36. http://unesdoc.unesco.org/images/0024/002463/246300s.pdf%0Ahttp://unesdoc.unesco.org/images/0024/002463/246300S.pdf%0Ahttp://unesdoc.unesco.org/images/0024/002463/246300s.pdf.
The Joanna Briggs Institute. (2015). The Joanna Briggs Institute Reviewers’ Manual 2015: Methodology for JBI scoping reviews. Joanne Briggs Institute. https://doi.org/10.1017/CBO9781107415324.004.
UNESCO. (2010). Engineering: Issues, Challenges and Opportunities for Development. In UNESCO Report.
Urquieta, M. A. V., Yañez, J. C., and Andrade, J. S. (2014). Análisis según el Modelo Cognitivo APOS* del Aprendizaje Construido del Concepto de la Derivada. Bolema - Mathematics Education Bulletin, 28(48). https://doi.org/10.1590/1980-4415v28n48a20.
Uzuriaga-López, V., Arias-Mendoza, J., and Martínez-Acosta, A. (2008). Diagnóstico y análisis de algunas causas que dificultan el aprendizaje del algebra lineal en estudiantes de ingeniería. Scientia et Technica, 2(39). https://doi.org/10.22517/23447214.3249.
Vásquez-Artunduaga, S., and Gálvez-López, J. A. (2011). Factores Determinantes En La Mortalidad Académica Para La Facultad De Ingenierías En La Universidad Tecnológica De Pereira Entre Los Años 2004 Y 2009. Scientia Et Technica, XVI(48), 65–70. https://doi.org/10.22517/23447214.1237.
Wedelin, D., Adawi, T., Jahan, T., and Andersson, S. (2015). Investigating and developing engineering students’ mathematical modelling and problem-solving skills. European Journal of Engineering Education, 40(5). https://doi.org/10.1080/03043797.2014.987648.
Williner, B., Engler, A., and Lavalle, A. (2019). La Comprensión a través de las Concepciones Proceso-Objeto. Un Estudio sobre de los Conceptos que Intervienen en la Resolución de Problemas de Optimización. Bolema: Boletim de Educação Matemática, 33(65). https://doi.org/10.1590/1980-4415v33n65a27.
Winkelman, P. (2009). Perceptions of mathematics in engineering. European Journal of Engineering Education, 34(4), 305–316. https://doi.org/10.1080/03043790902987378.
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Construction Research Congress 2024
Pages: 263 - 272
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Published online: Mar 18, 2024
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