Skip to main content

Context Categories in Mathematical Modelling in Fundamentals of Calculus Teaching

  • Chapter
  • 2590 Accesses

Abstract

In this chapter we present results of a qualitative evaluation conducted in the Fundamentals of Calculus classes in four service courses, Administration, Biology, Accounting and Physics, from a federal university in Brazil. The objectives were to analyze the main difficulties the students had regarding mathematical modelling, especially with functions and the relationship of these difficulties with the different fields of study. The analysis of the results identified some of the main teaching difficulties were related to contextualization in mathematical modelling, as well as the teaching of mathematical concepts for different courses, whether these were related to the Exact Sciences or not.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  • Aikenhead, G. (2005). Educación Ciencia-Tecnología-Sociedad (CTS): una buena idea como quiera que se le llame. Educacion Quimica, 16(2), 114–124.

    Google Scholar 

  • Almeida, L. W., Silva, K. P., & Vertuan, R. E. (2012). Modelagem matemática na educação básica. São Paulo: Contexto.

    Google Scholar 

  • Bardin, L. (2011). Análise de conteúdo. São Paulo: Edições 70.

    Google Scholar 

  • Batschelet, E. (1978). Introdução à matemática para biocientistas. Rio de Janeiro: Interciência.

    Google Scholar 

  • Bennett, J. (2003). Teaching and learning science: A guide to research and its applications. New York: Continuum.

    Google Scholar 

  • Biembengut, M. S. (2009). 30 Anos de Modelagem Matemática na Educação Brasileira: das Propostas primeiras às propostas atuais. Alexandria – Revista de Educação em Ciência e Tecnologia, 2, 7–32.

    Google Scholar 

  • Biembengut, M. S., & Hein, N. (2007). Modelling in engineering: Advantages and difficulties. In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modelling (ICTMA12): Education, engineering and economics (pp. 415–423). Chichester: Horwood.

    Chapter  Google Scholar 

  • Biembengut, M. S., & Hein, N. (2011). Modelagem matemática no ensino. São Paulo: Contexto.

    Google Scholar 

  • Brito, D. S., & Almeida, L. W. (2005). O conceito de função em situações de modelagem matemática. Zetetike, 13(23), 63–83.

    Google Scholar 

  • Carrejo, D. J., & Marshall, J. (2007). What is mathematical modelling? Exploring prospective teachers’ use of experiments to connect mathematics to the study of motion. Mathematics Education Research Journal, 19(1), 45–76.

    Article  Google Scholar 

  • Denzin, N. K., & Lincoln, Y. S. (1994). Introduction: Entering the field of qualitative research. In N. K. Denzin & Y. S. Lincoln (Eds.), Handbook of qualitative research (pp. 1–22). Thousand Oaks: Sage.

    Google Scholar 

  • Ferruzzi, E. C., & Almeida, L. M. W. (2013). Modelagem matemática no ensino de matemática para engenharia. Revista Brasileira de Ensino de Ciência e Tecnologia, 6(1), 153–172.

    Article  Google Scholar 

  • Furner, J., & Berman, B. (2005). Confidence in their ability to do mathematics: The need to eradicate math anxiety so our future students can successfully compete in a high-tech globally competitive world. Dimensions in Mathematics, 18(1), 28–31.

    Google Scholar 

  • Kato, D. S., & Kawasaki, C. S. (2011). As concepções de contextualização do ensino em documentos curriculares oficiais e de professores de ciências. Ciência e Educação, 17, 35–50.

    Article  Google Scholar 

  • Laudares, J. B., & Lachini, J. (2005). O uso da matemática em cursos de engenharia na perspectiva dos docentes de disciplinas técnicas. Revista de Ensino de Engenharia, 24(1), 39–45.

    Article  Google Scholar 

  • Lima, P. V., & Saraiva, P. M. (2007). A semi-mechanistic model building framework based on selective and localized model extensions. Computers and Chemical Engineering, 31, 361–373.

    Article  Google Scholar 

  • Malheiros, A. P. S. (2012). Pesquisas em modelagem matemática e diferentes tendências em educação e em educação matemática. Bolema, 26(43), 861–882.

    Google Scholar 

  • Martini, M. G. A. (2006). O conhecimento físico e sua relação com a matemática: um olhar voltado para o ensino médio. Masters dissertation, FEUSP, São Paulo.

    Google Scholar 

  • Neunzert, H. (2013). Models for industrial problems: How to find and how to use them – in industry and in education. In A. Damlamian, J. F. Rodrigues, & R. Sträßer (Eds.), Educational interfaces between mathematics and industry (pp. 59–76). Cham: Springer.

    Google Scholar 

  • OECD. (2014). PISA 2012 results: What students know and can do (Vol. 1, rev. ed.). Paris: OECD.

    Google Scholar 

  • Quarteroni, A. (2009). Mathematical models is science and engineering. Notices of the AMS, 56(1), 10–19.

    Google Scholar 

  • Sá, V. (2012). Equações da vida. UNESPCiência, 3(28), 32–34.

    Google Scholar 

  • Silva, M. D. F. (2007). O uso da modelagem matemática no curso de elementos de cálculo para engenharia florestal (pp. 706–721). Ouro Preto: Anais da V Conferência Nacional sobre Modelagem e Educação Matemática.

    Google Scholar 

  • Silva, E. L., & Marcondes, M. E. R. (2010). Visões de contextualização de professores de química na elaboração de seus próprios materiais didáticos. Ensaio – Pesquisa em Educação em Ciências, 12(1), 101–117.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mara Kessler Ustra .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Ustra, M.K., Ustra, S.R.V. (2015). Context Categories in Mathematical Modelling in Fundamentals of Calculus Teaching. In: Stillman, G., Blum, W., Salett Biembengut, M. (eds) Mathematical Modelling in Education Research and Practice. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Cham. https://doi.org/10.1007/978-3-319-18272-8_34

Download citation

Publish with us

Policies and ethics