Problem solving with Polya’s technique using computational thinking and Scratch with Secondary School students
PDF (Español (España))

How to Cite

Molina Ayuso, Álvaro, Adamuz Povedano, N., & Bracho López, R. (2020). Problem solving with Polya’s technique using computational thinking and Scratch with Secondary School students. Aula Abierta, 49(1), 83–90. https://doi.org/10.17811/rifie.49.1.2020.83-90

Abstract

This article consists of an analysis of how the mathematical competence in problem solving, using the Polya’s technique, can be developed using computational thinking with Scratch as a transversal resource, checking how students use Polya’s technique while solving arithmetic problems. To know and internalize learning about this problem-solving heuristic, the student has worked previously this kind of thought process with computational thinking using the educational resource. The work has been put into practice using a mixed methodology, accomplishing a time-series experiment with non-substitutive pretest measures. This information has been completed with a qualitative measurement with the student’s own perception about their learning process during the development of the empirical experience. To carry out the implementation of this experimental design, the students have done a series of tasks designed with Scratch and developing a project to create a videogame based on solving arithmetic problems. The outcomes show positive results using this methodology and a useful implementation of the computational thinking as a transversal resource in Mathematics, not only improving the mathematical competence but also the linguistic. An important improvement is observed in the reading and comprehension of the statement of the problem, essential process to carry out good resolution of a problematic situation faced by a student using a problem-solving technique.


Keywords: Programming Languages, Computer Science Education, problem solving, Secondary school Mathematics, computational thinking.

https://doi.org/10.17811/rifie.49.1.2020.83-90
PDF (Español (España))

References

Balanskat, A., y Engelhardt, K. (2015). Computing our future. Computer programing and coding. Priorities, school curricula and initiatives across Europe. European Schoolnet, Belgium. (https://goo.gl/j0PSxq) (2015-11-23)

Castro, W. F. y Godino, J. D. (2011). Métodos mixtos de investigación en las contribuciones a los simposios de la SEIEM (1997-2010). En M. Marín,

G. Fernández, L. Blanco y M. Palarea (Eds.), Investigación en Educación Matemática XV (pp. 99-116). Ciudad Real: SEIEM. (https://goo.gl/QzKnU4) (2017-02-10)

Campbell, D. T., y Fiske, D. W. (1959). Psycholo gical Bulletin. Psychological Bulletin, 56(2), 81–105. (https://goo.gl/TuRI8l) (2017-03-04)

Campbell D.T., y Stanley J.C. (1966). Experimental and quasi-experimental designs for research. (R. McNally, Ed.). Chicago. (https://goo.gl/ZzzSId) (2016-03-21).

DiSessa, A. (2000). Changing minds: computers, learning, and literacy. Cambridge: MIT Press.

Duncker, K. (1945). On Problem-solving. Psycological Monographs, 58(5). https://doi.org/http://dx.doi.org/10.1037/h0093599

Folch, M. T. (1990). Los problemas aritméticos de la enseñanza primaria. Estudio de dificultdes y propuesta didáctica. Educar, 17, 119–140. (https://goo.gl/0qQDZz) (2015-11-17)

Gander, W., Petit, A., Berry, G., Demo, B., Vahrenhold, J., McGettrick, A., …

Meyer, B. (2013). Informatics Education: Europe Cannot Afford to Miss the Boat. Joint Informatics Europe y ACM Europe working group on informatics Education. (https://goo.gl/nrddkS) (2017-01-22)

Gaulin, D. C. (2001). Tendencias actuales en la resolución de problemas. Sigma, (19), 51–63. (https://goo.gl/T1dUMh) (2017-02-13)

Gutierrez-Esteban, P., y Beccerra Traver, M. T. (2014). Los entornos personales de aprendizaje (PLE). Una experiencia de aprendizaje informal en la formación innicial del profesorado. Revista Latinoamericana de Tecnología Educativa, 13(2), 49–60. https://doi.org/10.17398/1695

ISTE. (2011). Operational Definition of Computational Thinking. (https://goo.gl/iJ4xfI) (2016-02-20)

Jaeggi, S. M., Buschkuehl, M., Shah, P., y Jonides, J. (2014). The role of individual differences in cognitive training and transfer. Memory y Cognition, 42(3), 464–480. https://doi.org/10.3758/s13421-013-0364-z

Johnson, B., Onwuegbuzie, A. J., y Turner, L. A. (2007). Toward a Definition of Mixed Methods Research. Journal of Mixed Methods Research, 1(2), 112–133. https://doi.org/10.1177/1558689806298224

Klieme, E. (2004). Assessment of Cross-Curricular problem-solving competencies, Comparing Learning Outcomes. In M. S. J. H. Moskowitz (Ed.), Comparing Learning Outcomes: International Assesment and Educational Policy (pp. 81– 107). Routledge Falmer, London. (https://goo.gl/P69mfm) (2015-10-15)

Leris López, M. D., y Sein-Echaluce Lacleta, M. L. (2011). La personalización del aprendizaje: un objetivo del paradigma educativo centrado en el aprendizaje. Arbor: Ciencia, Pensamiento Y Cultura, 187(3), 123–134. https://doi.org/10.3989/arbor.2011.Extra-3n3135

Lesh, R., y Zawojeuski, J. (2007). Problem solving and modeling. Second handbook of research on mathematics teaching and learning. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 763–804). Charlotte, NC.

Martínez, R.-A. (2007). La investigación en la práctica educativa: Guía metodológica de investigación para el diagnóstico y evaluación en los centros docentes. Madri: Ministerio de Educación y Ciencia. (https://goo.gl/L4lQhV) (2016-04-19)

Mayer, R., y Wittrock, M. (2006). Problem solving, Handbook Of Educational Psychology. In P. A. y P. H. W. Alexander (Ed.) (pp. 287–303). Mahwah, NJ: Routledge.

Moreno-Leon, J., y Robles, G. (2016). Code to learn with Scratch? A systematic literature review. IEEE Global Engineering Education Conference, EDUCON, 10-13, 150–156. https://doi.org/10.1109/EDUCON.2016.7474546

Moreno-León, J., Robles, G., y Román-González, M. (2016). How social are Scratch learners ? A comprehensive analysis of the Scratch platform for social interactions, 1–8. https://doi.org/10.13140/RG.2.1.2332.3761

National Research Council. (2010). Report of a workshop on the scope and nature of computational thinking. Washington, DC. https://doi.org/https://doi.org/10.17226/12840

Nelson, J. (2009, May). Celebrating Scratch in Libraries. Creation software helps young people develop 21st-century literacy skills. School Library Journal, 20–21. (https://goo.gl/I9ucfP) (2017-01-28)

Niss, M. (2002). Mathematical Competencies and the Learning of Mathematics : the Danish Kom Project. Proceedings of the 3rd Mediterranean Conference on Mathematical Education. Roskilde, Denmark. (https://goo.gl/gngHY9) (2016-03-15)

Onwuegbuzie, A. J., y Collins, K. M. . (2007). A typology of mixed methods sampling designs in social science research. The Qualitative Report, 12(2), 474–498. (https://goo.gl/3ubQHo) (2017-03-25)

Papert, S. (1980). Mindstorms: Children, computers, and powerful ideas (Second Edi). New York: Basic Books.

Papert, S. (1996). An exploration in the Space of Mathematics Education. International Journal of Computers for Mathematical Learning, 1(1), 95–123. (https://goo.gl/CFzpf5) (2016-12-04)

Polya, G. (1945). How To Solve It (2nd ed.). New York: Princeton University Press, Doubleday Anchor Books.

Puig, L. (1996). EL Modelo de Competencia. In L. Puig (Ed.), Elementos de la resolución de problemas (pp. 33–49). Granada: Comares.

Puig, L., y Cerdán, F. (1989). Problemas aritméticos escolares. Madrid: Sínteis.

Recio, T. (2002). Situación de la Enseñanza de las Matemáticas en la Educación Secundaria Española. Santander. (https://goo.gl/zZ0pNO) (2016-05-14)

Resnick, M., Maloney, J., Rusk, N., Eastmond, E., Brennan, K., Millner, A.,

… Kafai, Y. (2009). Scratch: Programing for all. Comunication of the ACM, 52(11), 62–67. https://doi.org/10.1145/1592761.1592779

Romero-Frías, E., y Magro Mazo, C. (2016). La emancipación intelectual en la sociedad digital : El maestro ignorante de Rancière en nuestros días. Revista Letral, 16, 89–105. (https://goo.gl/K7wkTg) (2017-03-21)

Schoenfeld, A. H. (1985). Mathematical Problem Solving. Orlando Academic Press.

Schoenfeld, A. H. (2012). How we think: A theory of human decision making, with a focus on teaching. In C. S. (Ed.), The Proceedings of the 12th International Congress on Mathematical Education (pp. 229–243). Springer, Cham. https://doi.org/10.1007/978-3-319-12688-3_16

Selwyn, N. (2009). The digital native – myth and reality. Aslib Proceedings, 61(4), 364–379.

Wing, J. (2006). Computational Thinking. Comunication of the ACM, 49(3), 33–35. (https://goo.gl/WnL3va) (2016-04-12)

Wing, J. (2011). Research notebook: Computational thinking - What and why? (Carnegie Mellon University, Ed.), The Link Magazine, Spring(6), 20–23. (https://goo.gl/UFwLRB) (2016-04-20)

Downloads

Download data is not yet available.