Aspectos da Educação Matemática Realística

Autores

  • Regina Luzia Corio de Buriasco Universidade Estadual de Londrina
  • Gabriel dos Santos e Silva Universidade Estadual de Londrina

DOI:

https://doi.org/10.33238/ReBECEM.2017.v.1.n.1.18559
Agências de fomento

Palavras-chave:

Educação Matemática, Educação Matemática Realística, Reinvenção Guiada, Matematização.

Resumo

Resumo: Neste texto, apresentamos alguns aspectos teóricos da Educação Matemática Realística, evidenciando os seis princípios, com base em um estudo de textos de autores dessa abordagem. Buscamos discutir as noções de matemática como atividade humana, matematização, conhecimento matemático, entrelaçamento entre domínios da matemática, contexto, realidade, fenomenologia didática, inversão antididática, reinvenção guiada, aprendizagem, níveis de aprendizagem e interatividade, a fim de explorar ideias que configuram a abordagem da Educação Matemática Realística.

Palavras-chave: Educação Matemática; Educação Matemática Realística; Reinvenção Guiada; Matematização.

 

Aspects of realistic Mathematics Education

Abstract: In this text, we present some theoretical aspects of Realistic Mathematics Education, evidencing the six principles, based on a study of texts of author from this approach. We persue to discss notions, as mathematics as a human activity, mathematization, mathematical knowledge, intertwining of mathematical domanis, context, reality, didactical phenomenology, antididactic inversion, guided reinvention, learning, levels in learning and interactivity, aiming to explore ideas that configure the approach of Realistic Mathematics Education.

Keywords: Mathematics Education; Realistic Mathematics Education; Guided Reinvention; Mathematization.

 

Downloads

Não há dados estatísticos.

Referências

AMERON, B. A. Reinvention of early algebra: developmental research on the transition from arithmetic to algebra. Tekst: Proefschrift Universiteit Utrecht, 2002.

CIANI, A. B. O realístico em questões não-rotineiras de matemática. 2012. 166 f. Tese (Doutorado em Ensino de Ciências e Educação Matemática) – Universidade Estadual de Londrina, Londrina, 2012.

DE LANGE, J. Framework for classroom assessment in mathematics. Madison: WCER, 1999.

DOORMAN, M.; GRAVEMEIJER, K. Emergent modeling: Discrete graphs to support the understanding of change and velocity. ZDM: The International Journal on Mathematics Education, n. 41, p. 199-211, 2009.

DRIJVERS, P. Students Encountering Obstacles Using a CAS. International Journal of Computers for Mathematical learning, v. 5, s.n, p. 189-209, 2000.

DRIJVERS, P. Learning algebra in a computer algebra environment. 2003. Tese (Doutorado em Ensino de Ciências e Educação Matemática) – Universidade de Utrecht, The Netherlands: Freudenthal Institute, The Netherlands, 2003.

FREUDENTHAL, H. Geometry between the devil and the deep sea. Educational Studies in Mathematics, v. 3, n. 3-4, p. 413-435, 1971.

FREUDENTHAL, H. Mathematics as an educational task. Dordrecht: D. Reidel Publishing Company, 1973.

FREUDENTHAL, H. Major problems in mathematics education. Educational Studies in Mathematics, v. 12, s.n., p. 133-150, 1981.

FREUDENTHAL, H. Didactical phenomenology of mathematical structures. Dordrecht: Reidel Publishing Company, 1983.

FREUDENTHAL, H. Revisiting Mathematics Education. Netherlands: Kluwer Academic Publishers, 1991.

GRAVEMEIJER, K. Emergent modeling and iterative processes of design and improvement in mathematics education. In: APEC - TSUKUBA INTERNATIONAL CONFERENCE, 3, 2007, Tokyo Kanazawa and Kyoto. Proceedings... Tokyo Kanazawa and Kyoto, 2007. s.p. Disponível em: <http://www.criced.tsukuba.ac.jp/math/apec/apec2008/index_en.php>. Acesso em: 30 ago. 2014.

GRAVEMEIJER, K. RME theory and mathematics teacher education. In: SULLIVAN, P.; WOOD, T. (Eds.). International handbook of mathematics teacher education. Rotterdam: Sense Publisher, 2008. p. 238-302.

GRAVEMEIJER, K.; COBB, P. Design research from a learning design perspective. In: VAN DEN AKKER, J. et al. Educational design research. London: Routledge, 2006. s.p.

GRAVEMEIJER, K.; DOORMAN, M. Context problems in realistic mathematics education: a calculus course as an example. Educational Studies in Mathematics, n. 1, v. 39, p. 111-129, 1999.

GRAVEMEIJER, K.; TERWEL, J. Hans Freudenthal: a mathematician on didactics and curriculum theory. Journal of Curriculum Studies, n. 6, v. 32, p. 777-796, 2000.

KEIJZER, R. Teaching formal mathematics in primary education. Supervisor: Prof.dr. J. Terwel .Utrecht, the Netherlands: CD-ß Press., 2003.

KEIJZER, R.; VAN GALEN, F.; OOSTERWALL, L. Reinvention revisited: learning and teaching decimals as an example. Paper presented at the ICME 10, 2004.

KWON, Oh Nam. Conceptualizing the realistic mathematics education approach in the teaching and learning of ordinary differential equations. Proceedings of the 2nd International Conference on the Teaching of Mathematics at the Undergraduate Level. Hersonissos. Greece. University of Crete, 2002.

SANTOS, E. R. dos. Análise da produção escrita em matemática: de estratégia de avaliação a estratégia de ensino. 2014. Tese (Doutorado em Ensino de Ciências e Educação Matemática) – Universidade Estadual de Londrina, Londrina. 2014.

STREEFLAND, L. Fractions in Realistic Mathematics Education. Dordrecht: Kluwer, 1991.

TREFFERS, A. Three Dimensions: a model of goal and theory description in mathematics instruction – The Wiskobas Project. Dordrecht: Reidel Publishing Company, 1987.

TREFFERS, A. Meeting innumeracy at primary school. Educational Studies in Mathematics. 22, 1991, p. 333-352.

VAN DEN BOER, C. If you know what I mean. In: DRIJVERS, Paul. Classroom-based research in Mathematics Education. Montana: Montana State University, 2004. s.p.

VAN DEN HEUVEL-PANHUIZEN, M. Assessment and Realistic Mathematics Education. Utrecht: CD-ß Press/Freudenthal Institute, Utrecht University. 1996.

VAN DEN HEUVEL-PANHUIZEN, M. Mathematics education in the Netherlands: A guided tour. Freudenthal Institute Cd-rom for ICME9. Utrecht: Utrecht University, 2000. CD-ROM.

VAN DEN HEUVEL-PANHUIZEN, M. The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, n. 1, v. 54, p. 09-35, 2003.

VAN DEN HEUVEL-PANHUIZEN, M. Reform under attack – Forty Years of Working on Better Mathematics Education thrown on the Scrapheap? No Way! In: SPARROW, L.; KISSANE, B.; HURST, C. (Eds.). Proceedings of the 33th annual conference of the Mathematics Education Research Group of Australasia. Fremantle: MERGA, 2010. s.p.

VAN REEUWIJK, M. From informal to formal, progressive formalization: an example on “solving systems of equations.” In: CHICK, H.; STACEY, K.; VINCENT, J. (Eds.). The future of the teaching and learning of algebra: Proceedings of the 12th ICMI Study Conference, 2001, p. 613-620.

WIDJAJA, Y. B.; HECK, A. How a Realistic Mathematics Education approach and microcomputer-based laboratory worked in lessons on graphing at an Indonesian Junior High School. Journal of Science and Mathematics Education in Southeast Asia, Amsterdam, v. 26, n. 2, p. 1-51, 2003.

Downloads

Publicado

21-12-2017

Como Citar

BURIASCO, R. L. C. de; SILVA, G. dos S. e. Aspectos da Educação Matemática Realística. Revista Brasileira de Educação em Ciências e Educação Matemática, [S. l.], v. 1, n. 1, p. 1–15, 2017. DOI: 10.33238/ReBECEM.2017.v.1.n.1.18559. Disponível em: https://saber.unioeste.br/index.php/rebecem/article/view/18559. Acesso em: 3 nov. 2024.