Mathematical modelling as a virtual learning environment for teacher education programs

Resumen

This study was developed with 76 students enrolled in a teacher education program in Mathematics, which is part of the Brazilian Open University System, at the Universidade Federal de Ouro Preto. It was conducted during the second semester of 2017, in 5 (five) educational centres (polos) located in the states of São Paulo and Minas Gerais, in Brazil. This research was performed according to methodological procedures used in case studies, by covering the collection and data analysis. Methodological procedures used in this study enabled the critical and reflective interpretation of the results through the elaboration of categories that emerged from qualitative data collected during the development of the fieldwork. The main objective of this study was the proposition of mathematical modelling as a virtual learning environment (VLE) that favours the development of a critical view of the reality and the reflection of students in solving problems that they face daily, by developing modelling projects by applying technological tools available in the Moodle platform. Through these projects, students problematized, contextualized, and investigated problems they developed in their projects in the VLE. As well, they elaborated questions that aimed to seek, collect, select, organize, and handle the information that allowed them to critically reflect about the role of mathematics in society.

Biografía del autor/a

Milton Rosa, Universidade Federal de Ouro Preto (UFOP)
Departamento de Educação Matemática (DEEMA)
Daniel Clark Orey, UFOP
Professor associado I.

Citas

Barbosa, J. C. (2006). Mathematical modelling in classroom: a critical and discursive perspective. ZDM, 38(3), 293-301.

Borba, M. (2005). Humans-with-media: transforming communication in the classroom. In A. Chronaki & I. M. Christiansen (Eds.), Challenging perspectives on mathematics classroom communication (pp. 51-77). Greenwich, CT: Information Age.

Borba, M. C. (2012). Humans-with-media and continuing education for mathematics teachers in online environments. ZDM, 44(6), 801-814.

Brown, J. P. (2015). Visualisation tactics form solving real world tasks. In G. A Stillman, W. Blum, & Biembengut, M. S. (Eds.). Mathematical modelling in education research and practice: cultural, social and cognitive influences (pp. 431-442). New York, NY: Springer.

Creswell, J. W. (1998). Qualitative inquiry and research design: choosing among five traditions. London, England: Sage.

D’Ambrosio, U. (2015). Mathematical modelling as a strategy for building-up systems of knowledge in different cultural environments. In: G. A. Stillman, Blum, W. Blum, M. S. Biembengut (Eds.). Mathematical modelling in education research and practice: cultural, social and cognitive influences (pp. 35-44). New York, NY: Springer.

Freitas, J. F. R. B. F. (2016) Modelagem matemática no ambiente virtual de aprendizagem (AVA): entendendo as suas dimensões crítica e reflexiva a partir de um estudo de caso. Dissertação de Mestrado Profissional em Educação Matemática. Departamento de Matemática. Ouro Preto, MG: Universidade Federal de Ouro Preto.

Gallegos, R. R., & Rivera, S. Q. (2015). Developing modelling competencies through the use of technology. In G. A Stillman, W. Blum, & Biembengut, M. S. (Eds.), Mathematical modelling in education research and practice: cultural, social and cognitive influences (pp. 443-452). New York, NY: Springer.

Greefrath, G., & Rieβ, M. (2013). Reality based test tasks with digital tools at lower secondary. In G. A. Stillman; G. Kaiser; Blum, W.; & J. P. Brown (Eds.), Teaching mathematical modelling: connecting to research and practice (pp. 445-456). New York, NY: Springer.

Hopkins, D. (2002). A teacher’s guide to classroom research. Maidenhead, England: Open University Press.

Kaiser, G.; & Sriraman, B. (2006). A global survey of international perspectives on modelling in mathematics education. ZDM, 38(3), 302–310.

Kanuka, H., & Anderson, T. (1998). On-line social interchange, discord, and knowledge construction. Journal of Distance Education, 13(1), 57–74.

Kerr, S. J., Neale, H. R., & Cobb, S. V. (2002), Virtual environments for social skills training: the importance of scaffolding in practice. Proceedings of the Fifth International ACM SIGCAPH Conference on Assistive Technologies (pp. 104-110) New York, NY: ACM Press.

Leedy, P., & Ormrod, J. (2001). Practical research: planning and design. Upper Saddle River, NJ: Merrill Prentice Hall. Thousand Oaks: SAGE Publications.

López Dávila, C. E. L. (2015). Un modelo de investigación orientado a la implementación de programas estructurados en ambientes virtuales de aprendizaje. Uni-pluriversidad, 15(2), 61-73.

Meletiou-Maurotheris, M. (2012). Online communities of practice as vehicle for teacher professional development. In: J. A. Angel, M. A. Huertas, S. Trenholm, & C. Steegmann (Eds.), Teaching mathematics online: emergent technologies and methodologies. Hershey, PA: IGI Global.

Oliveira, A. M. P., & Barbosa, J. C. (2013). Mathematical modelling, mathematical content, and tensions in discourses. In G. A. Stillman; G. Kaiser; Blum, W.; & J. P. Brown (Eds.), Teaching mathematical modelling: connecting to research and practice (pp. 67-78). New York, NY: Springer.

Rosa, M. (2000). From reality to mathematical modelling: a proposal for using ethnomathematical knowledge. College of Education. Sacramento, CA: California State University, Sacramento (CSUS).

Rosa, M., & Orey, D. C. (2012). A modelagem como um ambiente de aprendizagem para a conversão do conhecimento matemático. BOLEMA, 26(41A), 261-290.

Rosa, M., & Orey, D. C. (2016). Developing mathematical modelling in Virtual Learning Environments by applying critical and reflective dimensions. In: Wallace, K. (Org.). Learning environments: emerging theories, applications and future directions (pp. 1-20). New York, NY: Nova Science Publishers.

Rosa, M., & Orey, D. C. (2018). Developing a mathematical modelling course in a virtual learning environment. ZDM, 50(1), 173-185.

Silva, N., Costa, G. J. M., Rogerson, S., & Prior, M. (2007). Knowledge or content? The philosophical boundaries in e-learning pedagogical theories: research, reflections and innovations in integrating ICT in education. London, England: Routledge.

Stake, R. (1995). The art of case study research. Thousand Oaks, CA: Sage Publications.

Yin, R. K. (1994). Case study research: design and methods. Newbury Park, CA: Sage Publications.

Publicado
2019-12-22