Investigating the production of meanings in Differential and Integral Calculus

Authors

  • Leonardo Silva Costa Federal Institute of Education, Science and Technology of the Triangulo Mineiro (IFTM)
  • Cristiane Coppe de Oliveira Federal University of Uberlândia https://orcid.org/0000-0002-0378-810X

DOI:

https://doi.org/10.14393/BEJOM-v1-n1-2020-50262

Keywords:

Teaching, Learning, Mathematics, Differential and Integral Calculus, Meanings

Abstract

The concern of professors working in various areas of higher education is notorious about the increasing failure rates in subjects that require competences and mathematical skills. One of these disciplines is the Differential and Integral Calculus, present not only in the Mathematics Course, but also in undergraduate courses related to Nature Sciences, Economic Sciences and almost all Engineering courses. The present work aimed to investigate which meanings the students of the mathematics and production engineering courses of a higher education institution in the city of Ituiutaba/MG, attribute some concepts about the discipline differential calculus and Full. This proposal was analyzed through the application of work sheets to students, elaborated with questions that promoted the survey/discussion of some ideas that circulate in the knowledge that involves the calculation. After this stage, three categories were raised, related to the semantic level produced by the undergraduate students and their relationships, prioritizing the concepts of functions, continuity, limits and derivative. The investigation pointed out that students carry in their discourse meanings similar to the language of the books texts of the Discipline of calculus and can not pro- duce their own meanings. It is hoped, with this investigation, to contribute to a discussion about the teaching of calculus, in the search to point out possibilities of solution for evasion/disapproval in the discipline, promoting a critical, reflective and active education in the Higher education scenario.

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Author Biographies

Leonardo Silva Costa, Federal Institute of Education, Science and Technology of the Triangulo Mineiro (IFTM)

Bachelor's degree in Mathematics from the Federal University of Uberlândia - UFU, Faculty of Integrated Sciences of Pontal - FACIP, Pontal Campus, Ituiutaba-MG, and Master's degree in Science and Mathematics Education, also from UFU. He works as a researcher in two main areas: Geometry and Topology with emphasis on Dynamical Systems and Mathematics Education, focusing on aspects related to teaching and learning, such as the use of educational technologies, teaching methods and techniques, History of Mathematics and Mathematics Education, Mathematical Modeling, and teacher training. He has been a Collaborating Mathematics Teacher in the project now called Alternative Pre-University Inclusion since 2011 at the Federal University of Uberlândia. He taught classes as a substitute Physics teacher for 1st and 2nd year high school students at Machado de Assis Municipal School, for Early Childhood Education, Elementary Education, and High School at Coronel Tonico Franco State School, for 1st and 2nd year high school students at João Pinheiro State School, teaching classes in the final years of Elementary Education. He is currently a Basic, Technical, and Technological Education Teacher at the Federal Institute of Triângulo Mineiro - IFTM, Ituiutaba Campus, working on teaching, research, and extension projects related to the accessibility of Mathematics, as well as its integration with other sciences.

Cristiane Coppe de Oliveira, Federal University of Uberlândia

Associate Professor III at the Institute of Exact and Natural Sciences of Pontal, Federal University of Uberlândia and the Graduate Program in Science and Mathematics Teaching at UFU. Director of the Brazilian Society of Mathematical Education - SBEM / Minas Gerais Regional. Director of the Directorate of Afroracial Studies and Research at the Federal University of Uberlândia - DIEPAFRO / UFUMember of the Group for Studies and Research in Ethnomathematics - GEPEm / FE-USP. Accredited teacher in the Graduate Program in Education at FE-USP. She coordinated the multidisciplinary sub-project Mathematics / Physics of Pontal of PIBID / UFU. She served as a member of the team of the International Degree Program-PLI, with the University of Coimbra. She acted as coordinator of the GT5- History of Mathematics and culture of the Brazilian Society of Mathematical Education (SBEM) in the 2014-2016 and 2016/2018 trienniums. She has a post-doctorate in Education from the University of Lisbon and a post-doctorate in the Program of the Department of Methodology of Teaching and Comparative Education of FE-USP. She was coordinator of the sub-project Mathematics-Pontal of PIBID / UFU (2016-2018). She has a degree in Mathematics from the Federal University of Juiz de Fora (1996), a master's degree in Mathematics Education from the Universidade Estadual Paulista Júlio de Mesquita Filho (2001) and a doctorate in Education from the University of São Paulo (2007). In the extension area, she developed several projects, having been coordinator of the Ethnic-Racial Relations Area of ​​the National Network for the Training of Teachers of Basic Education-MEC; she participated as a trainer for the A Cor da Cultura III Project (2013-2014) promoted by the Roberto Marinho Foundation, TV Futura, SEPPIR, MEC and Petrobrás. She served as vice-coordinator of the Initial Training course in African and Afro-Brazilian History and Culture promoted by NEAB / UFU in partnership with PROGRAD / UFU, teaching the module on Ethnomathematics. From a cultural perspective, in the field of research, it investigates the importance of inserting African, Afro-Brazilian and indigenous history and culture in the mathematics curriculum, through the implementation of Laws 10638/03 and 11645/08 and the possibilities of breaking with the scientific racism that is established in Eurocentric ideas. She also collaborated, as professor of the Specialization Course in Inclusion of diversity in the school space promoted by the Federal University of Uberlândia in 2018.

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Published

2020-01-02

How to Cite

COSTA, L. S.; OLIVEIRA, C. C. de. Investigating the production of meanings in Differential and Integral Calculus. BRAZILIAN ELECTRONIC JOURNAL OF MATHEMATICS, Uberlândia, v. 1, n. 1, p. 73–87, 2020. DOI: 10.14393/BEJOM-v1-n1-2020-50262. Disponível em: https://seer.ufu.br/index.php/BEJOM/article/view/50262. Acesso em: 23 nov. 2024.

Issue

Vol. 1 No. 1 (2020): Brazilian Electronic Journal of Mathematics

Section

Articles - Mathematics Education

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Copyright (c) 2020 Leonardo Silva Costa, Cristiane Coppe de Oliveira

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