Mathematical modeling competition: an exploratory study from the quadratic function

  • Cesar Olmos Rojas Universidad de la Amazonia
  • Dermin Rogelio Sarmiento R. Secretaria de Educación Departamental del Caquetá.
  • Leonardo Montealegre Q. Instituto Técnico Industrial. Secretaría Municipal. Florencia Caquetá. Catedrático Universidad de la Amazonia.
Keywords: Competition, Mathematics Competition, Modeling, Tasks and Quadratic function.

Abstract

This article has as objective characterize the competition mathematical modeling for the case of the function quadratic starting from their implementation with students of the grade ninth with base in the Foundation of a model theoretical functional whose components structural are them phases of the process of modelling, them tasks math, them levels of complexity and them processes Metacognitive. The research question was: ¿what is a characterization of the mathematical modeling competition for the case of quadratic function, in the ninth grade of education basic secondary of the institution educational Juan Bautista la Salle? He worked from the qualitative methodology, using the case study method. The interpretative analysis is focused on the interactions in the classroom and the whole proceedings before mathematical tasks at different levels of complexity. The results showed the use of phases simplified, matematizar and interpret, in which arose the sub-processes of: a) to identify the variables that intervene in the situation, b) identify dependent and independent variables for inclusion in the model, c) to build the model with a single independent variable, and d) compare the mathematical results with the baseline. In conclusion, from an approach by skills, the relationship between the competition mathematical modeling (CMM) and tasks math is important because the activity mathematical of the student is influenced by the type of task that is you presents. In conclusion, from an approach by skills, the relationship between the competition mathematical modeling (CMM) and tasks math is important because the activity mathematical of the student is influenced by the type of task that is you presents.

Downloads

Download data is not yet available.

Author Biographies

Cesar Olmos Rojas, Universidad de la Amazonia

Profesor Catedrático Universidad de la Amazonia

Dermin Rogelio Sarmiento R., Secretaria de Educación Departamental del Caquetá.

Profesor Secretaria de Educación Departamental del Caquetá.

Leonardo Montealegre Q., Instituto Técnico Industrial. Secretaría Municipal. Florencia Caquetá. Catedrático Universidad de la Amazonia.

Profesor Instituto Técnico Industrial. Secretaría Municipal. Florencia Caquetá. Catedrático Universidad de la Amazonia.

References

Blomhøj, M. (2004) Mina, M. (Trad). Mathematical modelling - A theory for practice. En Clarke, B.; Clarke, D. Emanuelsson, G.; Johnansson, B.; Lambdin, D.; Lester, F. Walby, A. & Walby, K. (Eds.). International Perspectives on Learning and Teaching Mathematics. (pp. 145-159). Suecia: National Center for Mathematics Education.

García, L. (2011). Evolución de actitudes y competencias matemáticas en estudiantes de secundaria al introducir geogebra en el aula. Almería: Universidad de Almería.

Maaß, K. (2006). What are Modelling Competencies? ZDM, 38(2), 113-142.

Marcos, G. (2008). Un modelo de competencias matemáticas en un entorno interactivo. Madrid: Universidad de la Rioja.

Ministerio de Educación Nacional (1998). Matemáticas. Lineamientos Curriculares. Bogotá: MEN.

Ministerio de Educación Nacional (2006). Estándares Básicos de Competencias en Lenguaje, Matemáticas, Ciencias y Ciudadanías. Bogotá: MEN.

Solar, H., (2009). Competencias de modelización y argumentación en interpretación de gráficas funcionales: propuesta de un modelo de competencia aplicado a un estudio de caso. Universidad Autónoma de Barcelona: Bellaterra.

Sol, M., Giménez, J. y Rosich, N. (2007). Competencias y proyectos matemáticos realistas en la ESO. Uno, 46, 43‐60.

Villa, J. A. (2007). La modelación como proceso en el aula de matemáticas. Un marco de referencia y un ejemplo. Tecno Lógicas, 63‐85. Recuperado de http://funes.uniandes.edu.co/959/

Villa, J. (2008). El concepto de función: Una mirada desde las matemáticas escolares. En: Leston, P. (Ed.). Acta Latinoamericana de Matemática Educativa ALME, 21. (pp. 245-254). México: Comité Latinoamericano de Matemática Educativa - Colegio Mexicano de Matemática Educativa.

Stillman, G., Brown, P., Galbraith, P. and Edward, I. (2007). “A Frameworkfor Success in Implementing Mathematical Modelling in the Secondary Clasroom”. In Watson, J. Beswick, K. (Eds). Procceding of the 30th annual conference of the Mathetics Education. Research Group of Australasia. Vol. 2, pp. 688-697.
Published
2016-12-29
How to Cite
Olmos Rojas, C., Sarmiento R., D., & Montealegre Q., L. (2016). Mathematical modeling competition: an exploratory study from the quadratic function. Amazonia Investiga, 5(9), 57-65. Retrieved from https://amazoniainvestiga.info/index.php/amazonia/article/view/713
Section
Articles
Bookmark and Share