El Método K Algebraico: Modelación Matemática del Movimiento del Caballo como Estrategia para la Enseñanza de la Factorización en Álgebra

ABRAHAM RAMSÉS VELÁZQUEZ KRAFF; Practicante de medicina. María Lizbeth Chavez Aguilar

Authors

ABRAHAM RAMSÉS VELÁZQUEZ KRAFF MULTIVERSIDAD LATINOAMERICANA HERMOSILLO NORTE https://orcid.org/0009-0008-8156-3214
Practicante de medicina. María Lizbeth Chavez Aguilar MULTIVERSIDAD LATINOAMERICANA HERMOSILLO NORTE

Keywords:

Game-based learning, Algebraic chess, K Algebraic Method, Educational innovation.

Abstract

Game-based learning has become an established educational innovation strategy for increasing student motivation, encouraging active participation, and promoting meaningful learning experiences in mathematics education. In the present study, the K Algebraic Method was implemented as an instructional approach based on the mathematical modeling of the chess knight's movement for teaching algebraic addition, subtraction, multiplication, and factorization. To examine students' perceptions and motivation toward this methodology, a perception questionnaire was administered to two groups from a private upper secondary educational institution. The results revealed a highly favorable perception of the instructional strategy, reflected in high levels of acceptance, interest, and participation throughout the intervention. These findings support the potential of the K Algebraic Method as an educational innovation aligned with game-based learning and STEM education. Furthermore, the results provide evidence of students' acceptance and positive perceptions of this instructional approach, establishing a foundation for future research aimed at evaluating its effects on mathematics learning and the development of algebraic thinking.

References

An, Y. J. (2016). Effects of mathematics game-based learning on mathematics learning achievement, math anxiety and attitude towards mathematics. Eurasia Journal of Mathematics, Science & Technology Education, 12(6), 1559-1573.

Dichev, C., & Dicheva, D. (2017). Gamifying education: What is known, what is believed and what remains uncertain: A critical review. International Journal of Educational Technology in Higher Education, 14, Article 9. https://doi.org/10.1186/s41239-017-0042-5

Ferguson, J. (2019). The benefits of chess in the classroom. Childhood Education, 95(4), 75–77.

Fernández, G. (2019). The impact of chess on mathematics achievement in elementary school students. Journal of Research in Education, 29(2), 72–85.

Hernández, A. (2020). Desafíos de la educación STEM en México: Análisis y propuestas. Revista de Investigación Educativa, 38(2), 425–444.

Hiebert, J., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students’ learning. In F. K. Lester Jr. (Ed.), Second handbook of research on mathematics teaching and learning (pp. 371–404). Information Age Publishing.

INEGI. (2019). Estadísticas a propósito del Día Internacional de la Mujer y la Niña en la Ciencia. Instituto Nacional de Estadística y Geografía.

Lesh, R., Post, T. R., & Behr, M. (1987). Representations and translations among representations in mathematics learning and problem solving. In C. Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 33–40). Lawrence Erlbaum Associates.

López, M. (2018). The role of games in mathematics education: A systematic literature review. Journal of Educational Technology & Society, 21(2), 74–88.

Malara, N., & Grimaldi, S. (2020). Improving math learning through educational games: A review of literature. International Journal of Educational Technology in Higher Education, 17(1), 1–24.

Mathematical Association of America (MAA). (2020). A survey of undergraduate mathematics education in four-year U.S. institutions: 2019-2020. https://www.maa.org/press/maa-reports/maa-survey-reports

OCDE. (2017). Revisión de Políticas Nacionales de Educación: México. Organización para la Cooperación y el Desarrollo Económicos.

Papastergiou, M. (2009). Digital game-based learning in high school computer science education: Impact on educational effectiveness and student motivation. Computers & Education, 52(1), 1–12. https://doi.org/10.1016/j.compedu.2008.06.004

Plass, J. L., Homer, B. D., & Kinzer, C. K. (2015). Foundations of game-based learning. Educational Psychologist, 50(4), 258–283. https://doi.org/10.1080/00461520.2015.1122533

Polgár, S., & Trócsányi, Z. (2016). Chess and mathematics education. Cognitive studies I Études Cognitives, (16), 253-266.

Qian, M., & Clark, K. R. (2016). Game-based learning and 21st century skills: A review of recent research. Computers in Human Behavior, 63, 50–58. https://doi.org/10.1016/j.chb.2016.05.023

Ritter, S., Anderson, J. R., Koedinger, K. R., & Corbett, A. (2007). Cognitive tutor: Applied research in mathematics education. Psychonomic Bulletin & Review, 14(2), 249–255. https://doi.org/10.3758/BF03194060

Presidencia de la República. (2019). Plan Nacional de Desarrollo 2019–2024. Diario Oficial de la Federación. Plan Nacional de Desarrollo 2019–2024

Secretaría de Educación Pública. (2013). Programa Sectorial de Educación 2013–2018. Programa Sectorial de Educación 2013–2018

Torres, J. L. (2022, 22 de septiembre). Ranking QS: Tec de Monterrey, la universidad 1 en México y 4 de Latam. CONECTA. Nota oficial del Tecnológico de Monterrey