The Competence of Solving Mathematical Problems in the Formation of Ethical Values

Authors: Veronica Diaz Quezada

Abstract:

A study and its preliminary results are presented. The research is descriptive and exploratory and it is still in process. Its objective is to develop an assessment method in the field of fostering values using competence mathematics problem solving. This is part of a more extensive research that aims at contributing to educational integration in Latin America, particularly to the development of proposals to link education for citizenship and the mathematics lessons. This is being carried out by research teams of University of Barcelona-España; University Nacional of Costa Rica; University Autónoma of Querétaro-México; Pontificia University Católica of Perú, University Nacional of Villa María- Argentina and University of Los Lagos-Chile, in the context of Andrés Bello Chair for the Association of Latin American Universities. This research was developed and implemented in Chile in 2016, using mixed research methods. It included interviews and a problem-solving math test with ethical values that was administered to students of the secondary education of the regions of Los Ríos and of the Lakes of Chile. The results show the lack of integration between the teaching of values and science discipline.

Keywords: Citizenship, ethical values, mathematics, secondary school, solving problem.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.2579964

References:

[1] Eurydice (2012). La educación para la ciudadanía en Europa. Agencia Ejecutiva en el ámbito Educativo, Audiovisual y Cultural, EACEA P9 Eurydice y Apoyo Político, Bruselas: Eurydice.
[2] Callejo, M. L., (2000). Educación matemática y ciudadanía: propuesta desde los derechos humanos. Cuadernos de Sociedad y Educación No.12 (Eds.), Centro Cultural Poveda.
[3] Díaz, V., & Poblete, A. (2016a). Modelo de competencias profesionales de matemáticas (MCPM) y su implementación en profesores de enseñanza primaria en Chile. Mathematics Education Bulletin BOLEMA, 30 (55), 786-807. doi. 10.1590/1980-4415.
[4] Díaz, V., & Poblete, A. (2016b). A model of professional competences in mathematics and didactic knowledge of teachers. International Journal of Mathematical Education in Science and Technology IJMEST. doi: 10.1080/00207.
[5] Domite, M. (2004). Da comprensão sobre formação de professores e profesoras numa perspectiva etnomatemática. En G. Knijnik, F. Wanderer y C. Oliveira (Eds.), Etnomatemática: Currículo e formação de professores. Santa Cruz do sul: Edunisc, 419-431.
[6] Vanegas, Y., Jiménez, J., & Font, V. (2015). Análisis didáctico y formación para la ciudadanía a través de las Matemáticas. Proceedings XIV CIAEM-IACME, Chiapas, México.
[7] Orozco, J. (2006). Valores, Juventud, Sociedad y Futuro. Revista Educación en Valores. 2(3), 55-61.
[8] Andreoli, V. (2008). Carta a un profesor. Barcelona: Integral.
[9] D’Ambrosio, U. (2011). Educação para uma sociedade em transição. Porto Alegre: Cortez.
[10] DeBellis, V., & Goldin, G. (2006). Affect and meta-affect in mathematical problem solving: A representational perspective. Educational Studies in Mathematics, 63, 131-147.
[11] Reis, S., & Amado, N. (2012). A young student’s emotions when solving a mathematical challenge. Proceedings ICME 12, TSG 27, Motivation, beliefs, and attitudes towards mathematics and its teaching. (Disponível em http://www.icme12.org/upload/UpFile2/TSG/1442.pdf).
[12] Bishop, A., (1999). Educating student teachers about values in mathematics education. Mathematics Teaching and Democratic Education, 31, Issue 1.
[13] Nucci, L., & Narvaez, D. (Eds.), (2008). Handbook of moral and character education. New York: Routledge.
[14] Arthur, J., & Wilson, K. (2010). New research directions in character and values education in the UK. In T. Lovat, R. Toomey & N. Clement (Eds.), International Research Handbook on Values Education and Student Wellbeing (pp. 339-358).Dordrecht, Netherlands: Springer.
[15] Lovat, T., Toomey, R. & Clement, N. (Eds.), (2010). International research handbook on values education and student wellbeing. Dordrecht, Netherlands: Springer.
[16] Lovat T., Dally K., Clement N., Toomey R. (2011) Values Pedagogy and Teacher Education: Re-conceiving the Foundations, Australian Journal of Teacher Education, 36, 30-44.
[17] Benninga, J., Berkowitz, M., Kuehn, P., & Smith, K. (2006). Character and academics: What good schools do. Phi Delta Kappan, 87, 448-452.
[18] Davidson, M., Lickona, T., & Khmelkov, V. (2007). Smart and good schools: A paradigm shift for character education. Education Week, 27(12), 32-40.
[19] Davidson. M., Khmelkov, V., & Lickona, T. (2010). The power of character: Needed for, and developed from, teaching and learning. In T. Lovat, R. Toomey & N. Clement (Eds.), International research handbook on values education and student wellbeing (pp.427-454). Dordrecht, Netherlands: Springer.
[20] Osterman, K. F. (2010). Teacher practice and students’ sense of belonging. In T. Lovat, R. Toomey & N. Clement (Eds.), International research handbook on values education and student wellbeing (pp. 239-260). Dordrecht, Netherlands: Springer.
[21] Puig, L. (1996). Elementos de Resolución de Problemas. Granada: Comares.
[22] Isoda, M. (2007) El estudio de Clases Japonés en Matemáticas. Valparaíso: Ediciones Universitarias de Valparaíso.
[23] Poincaire H. (1908). Science et method. París: Flammarion.
[24] Dewey, J. (1930). The quest for certainty: A study of the relation of knowledge and action. London: George Allen & Unwin.
[25] Wallas G. (1926). The art of thought. New York: Harcourt.
[26] Polya G. (1945) How to solve it. Princeton: Princeton University Press.
[27] Kilpatrick J. (1985). A Retrospective Account of the Twenty-five Years of Research on Teaching Mathematical Problem Solving. En E. A. Silver (Ed.), Teaching and Learning Mathematical Problem Solving: Multiple Research Perspective (pp.1-15). Hillsdale: Lawrence Erlbaum.
[28] Schoenfeld A. (1985).Mathematical Problem Solving. Orlando: Academic press.
[29] OECD Organization for Economic Cooperation and Development, Computers and Learning: Making the Connection. PISA, OECD Publishing, Paris DOI: http://dx.doi.org/10.1787/9789264239555-en, 2015.
[30] Díaz, V.; Poblete, A. (2014). Resolución de problemas en matemática desde la transversalidad: educar en valores éticos. Paradigma, 35(2), pp.155-182.
[31] Díaz, V., & Poblete, A. (2013). Educación en valores considerando la resolución de problemas matemáticos: el caso de Chile. Mathematics Education Bulletin BOLEMA, 27 (45), 117-141.
[32] Ministerio de Educación. (2015). Objetivos Fundamentales y Contenidos Mínimos Obligatorios de la Educación Básica y Media. Actualización 2009. Santiago: Impresos Universitaria.
[33] Díaz, V., & Poblete, A. (2001).Categorizando tipos de problemas en álgebra. UNO. Revista de Didáctica de las Matemáticas. 27, 93-103.