Project-Based Learning
a strategy for teaching integral differential calculus for engineering students in a school in Brazil
DOI:
https://doi.org/10.31686/ijier.vol9.iss7.3244Keywords:
Can design, Project-Based Learning, Sustainable cans, Cylindrical optimizationAbstract
One of the problems that concerns engineering courses in Brazil is the students low level of motivation in regarding the type of teaching and, as a consequence, low academic performance. This article encourages the introduction of active methods in Engineering teaching, emphasizing the methodologies of Project Based Learning. The approach used was proposing a project for students to analyze important aspects in the production of cylindrical cans. The students applied calculus concepts and developed a model for the optimal dimensions of the cylinder and the utilization of the plates used. Characteristics of two materials used in the manufacture of these cans (tinplate and aluminum) were also gotten. Such aspects are relevant for both environmental sustainability and production costs. Concepts of application of derivatives and Fermat's theorem were used, learned in the discipline of Differential and Integral Calculus, in order to obtain the maximum and minimum values of an established function which relates the dimensions of the can and the amount of material needed. The dimensions obtained theoretically proved to be close to the real values found in cans available on the market. After analyzing the resistance to corrosion, the cost, the decomposition time and the mechanical resistance, it was concluded that the most appropriate material for the production of cans was the tinplate. In this context, teaching with Project Based Learning methodologies may contribute to innovative teaching practices in the training of engineering professionals, overcoming the limitations of traditional teaching methods.
References
UNESCO – United Nations Educational, Scientific and Cultural Organization. (2020). Inclusion and education. Retrieved February 15, 2020, from https://en.unesco.org/gem-report/report/2020/inclusion.
Revista Alumínio. (2020). Campeão de reciclagem. Retrieved November 7, 2020, from https://revistaaluminio.com.br/campeao-de-reciclagem.
Stewart, J. (2017). Cálculo. Volume 1 Volume 1. https://elibro.net/ereader/elibrodemo/126806. Accessed 27 Nov 2020.
Santos, L. R., Lacerda, A. A., Santos, C. C. A., Bortoloti, R. A. M. (2019). Construção de Embalagens. XVIII Encontro Baiano de Educação Matemática, Ilhéus, BA, jul./2019. Retrieved November 16, 2020, from https://casilhero.com.br/ebem/mini/uploads/anexo_final/e2a4c0b87bb5d91154af162411667657.pdf.
Jongpradist, P., Rojbunsongsri, R., Kamnerdtong, T., & Wongwises, S. (2013). Parametric study and optimization of a food can corrugation design using a response surface method. Journal of Mechanical Science and Technology, 27(7), 2043–2052. https://doi.org/10.1007/s12206-013-0519-7. DOI: https://doi.org/10.1007/s12206-013-0519-7
Santos Junior, A. F. D., & Oliveira, A. L. (2019). Os benefícios sócioambientais das embalagens sustentáveis. Revista Interface Tecnológica, 16(2), 274–286. https://doi.org/10.31510/infa.v16i2.645. DOI: https://doi.org/10.31510/infa.v16i2.645
Oliveira, V. S. (2013). Marketing Tradicional x Marketing Sustentável: Você conectado com o mercado. Retrieved November 17, 2013, from https://www.mundodomarketing.com.br/artigos/val-satiro/28229/marketing-tradicional-x-marketing-sustentavel.html.
Landim, A. P. M., Bernardo, C. O., Martins, I. B. A., Francisco, M. R., Santos, M. B., & Melo, N. R. de. (2016). Sustentabilidade quanto às embalagens de alimentos no Brasil. Polímeros, 26(spe), 82–92. https://doi.org/10.1590/0104-1428.1897. DOI: https://doi.org/10.1590/0104-1428.1897
Brazilian Mining Institute (2020). Marcas da Mineração. Retrieved October 27, 2020, from https://brasilminingsite.com.br/.
Schukajlow, S., Kaiser, G., & Stillman, G. (2018). Empirical research on teaching and learning of mathematical modelling: a survey on the current state-of-the-art. ZDM, 50(1–2), 5–18. https://doi.org/10.1007/s11858-018-0933-5. DOI: https://doi.org/10.1007/s11858-018-0933-5
OECD – Organization for Economic Co-operation and Development. (2019). Education at a Glance. Paris, France: OECD Publishing.
Pérez-Sánchez, M., & López-Jiménez, P. A. (2020). Continuous Project-Based Learning in Fluid Mechanics and Hydraulic Engineering Subjects for Different Degrees. Fluids, 5(2), 95. https://doi.org/10.3390/fluids5020095. DOI: https://doi.org/10.3390/fluids5020095
Kohen, Z., & Orenstein, D. (2021). Mathematical modeling of tech-related real-world problems for secondary school-level mathematics. Educational Studies in Mathematics, 107(1), 71–91. https://doi.org/10.1007/s10649-020-10020-1. DOI: https://doi.org/10.1007/s10649-020-10020-1
Casale, A. (2013). Aprendizagem baseada em problemas: Desenvolvimento de competência para o ensino de engenharia. 162p. Postgraduate Program in Production Engineering at the São Carlos Engineering School of the University of São Paulo.
World Economic Forum. (2020, October 20). The future jobs: Employment, skills and workforce strategy for the fourth industrial Revolution. Retrieved February 22, 2021, from https://www.weforum.org/reports/the-future-of-jobs-report-2020.
AIER – American Institute for Economic Research. (2021). Applied economic research class at AIER. Retrieved October 10, 2020, from https://www.aier.org/article/applied-economic-research-class-at-aier.
Prince, M. J., & Felder, R. M. (2006). Inductive Teaching and Learning Methods: Definitions, Comparisons, and Research Bases. Journal of Engineering Education, 95(2), 123–138. https://doi.org/10.1002/j.2168-9830.2006.tb00884.x. DOI: https://doi.org/10.1002/j.2168-9830.2006.tb00884.x
Mulongo, G. (2013). Effect of active learning teaching methodology on learner participation. Journal of Education and Practice, 4(4), 157–168. ISSN 2222-288X (On Line).
Araújo, U. F. (2011). A quarta revolução educacional: A mudança de tempos, espaços e relações a partir do uso de tecnologias e da inclusão social. ETD – Educação temática Digital, v. 12, Universidade de São Paulo, São Paulo. DOI: https://doi.org/10.20396/etd.v12i0.1202
Stewart, J. (2013). Cálculo (7th ed., vol. 1, pp. 304 – 305). São Paulo: Cengage Learning.
Jorge, N. (2013). Embalagens para alimentos. Cultura Acadêmica: Universidade Estadual Paulista, São Paulo, p. 29-47, 2013. Retrieved November 4, 2019 from http://www.santoandre.sp.gov.br/pesquisa/ebooks/360234.PDF.
ECO-UNIFESP (2019). Tempo de decomposição. Retrieved November 17, 2019, from https://dgi.unifesp.br/ecounifesp/index.php?option=com_content&view=article&id=16&Itemid=11.
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Copyright (c) 2021 Júlia Oliveira, Leonardo Panontim, Vitor Hugo Fonseca, Pedro Gonçalves, Diovana Napoleão, Marco Alcântara
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Accepted 2021-06-29
Published 2021-07-01
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