RESEARCH PAPER
A didactic proposal for teaching factorization cases of expressions of the form ax2+by+cx+ay+exy+f through Mathigon
 
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1
Secretaría de Educación de Soacha, Institución Educativa General Santander, Soacha, COLOMBIA
 
2
Grupo de Investigación GIECI, Fundación Universitaria Internacional de La Rioja, Bogotá, COLOMBIA
 
3
Instituto de Educación Mercedes Pacheco, Escuela de Educación Secundaria n°61, La Plata, Buenos Aires, ARGENTINA
 
4
Mechatronics and Interactive Systems (MIST), Universidad Indoamérica, Quito, ECUADOR
 
 
Online publication date: 2024-09-25
 
 
Publication date: 2024-10-01
 
 
EURASIA J. Math., Sci Tech. Ed 2024;20(10):em2514
 
KEYWORDS
ABSTRACT
This paper presents the results of research conducted in a classroom setting with eighth-grade students in a public school in Argentina. The experience aimed, within the framework of an algebra course, to introduce the design and results of the implementation of a didactic proposal designed to establish relationships between expressions of the form ax2+by+cx+ay+exy+f, with a, b ∈ N and c, d, e, f ∈ Z, as a product of factors through the virtual manipulative Mathigon. The evidence collected leads to the identification that algebraic work using virtual manipulatives allows students to give a different meaning to mathematics, explore various forms of representation, and construct their own knowledge.
REFERENCES (35)
1.
Armando, M., Régner, I., & Ochs, M. (2023). Toward a tool against stereotype threat in math: Children’s perceptions of virtual role models. In Proceedings of the International Conference on Multimodal Interaction (pp. 306-310). ACM. https://doi.org/10.1145/361066....
 
2.
Babo, L., Pinto, C. M. A., Mendonça, J., Rasteiro, D. M. L. D., Caridade, C. M. R., Lavicza, Z., Ulbrich, E., Rahmadi, I. F., Anđić, B., Abrori, F. M., Kocadere, S. A., Petridis, K., Nikolopoulos, C. D., Kokkinos, E. A., & Vardiambasis, I. O. (2023). MATHematics DIGital escape rooms–Empowering students. In A. Mesquita, A. Abreu, J. V. Carvalho, & C. H. P. de Mello (Eds.), Perspectives and trends in education and technology. Smart innovation, systems and technologies (pp. 375-385). Springer. https://doi.org/10.1007/978-98....
 
3.
Brousseau, G. (1986). Fondements et méthodes de la didactiques des mathématiques [Foundations and methods of mathematics teaching]. Recherches en Didactique des Mathématiques, 7(2), 4-10.
 
4.
Cabero, J., & Marín, V. (2014). Posibilidades educativas de las redes sociales y el trabajo en grupo. Percepciones de los alumnos universitarios [Educational possibilities of social networks and group work. University students’ perceptions]. Comunicar [Communicate], 42.
 
5.
Caro, M. (2015). Los beneficios del aprendizaje adaptativo [The benefits of adaptive learning]. http://ideasqueinspiran.com/20....
 
6.
Chacón-Castro, M., Aimacaña-Espinosa, L., & Jadán-Guerrero, J. (2021). Escape rooms: Mathematical challenges available to educators. In A. Mesquita, A. Abreu, J. V. Carvalho, & C. H. P. de Mello (Eds.), Perspectives and trends in education and technology. Smart innovation, systems and technologies (pp. 195-205). Springer. https://doi.org/10.1007/978-98....
 
7.
Chiappe, A. (2016). Tendencias sobre contenidos educativos digitales en América Latina [Trends in digital educational content in Latin America]. UNESCO. http://unesdoc.unesco.org/imag....
 
8.
da Silva, R., & Duarte, V. (2019). Didactic situations: The application of oval tangram in the education of angles in the 6th year of fundamental education. International Journal of Emerging Technologies in Learning, 2(1), 32-46. https://doi.org/10.31692/2595-....
 
9.
Ferreira, J. F., & Mendes, A. (2020). Open and interactive learning resources for algorithmic problem solving. In Formal Methods. FM 2019 International Workshops (pp. 200-208). Springer. https://doi.org/10.1007/978-3-....
 
10.
García, M. D., Prieto, F. J. G., & Hurtado, I. G. (2017). Moodle y Facebook como herramientas virtuales didácticas de mediación de aprendizajes: Opinión de profesores y alumnos universitarios [Moodle and Facebook as virtual didactic tools for learning mediation: Opinion of university professors and students]. Revista Complutense de Educación [Complutense Education Magazine], 29(3), 807-827. https://doi.org/10.5209/rced.5....
 
11.
Guizado, J. V., & Ortiz, J. Á. R. (2022). Retos digitales del profesorado en gestión de la enseñanza virtual de matemáticas [Digital challenges for teachers in managing virtual mathematics teaching]. Revista Venezolana de Gerencia [Venezuelan Management Magazine], 27, 390-408. https://doi.org/10.52080/rvglu....
 
12.
Hodovaniuk, T., Makhometa, T., Tiahai, I., Medivedieva, M., & Pryshchepa, S. (2020). The use of ICT in the flip teaching of future mathematics teachers. In Proceedings of the 16th International Conference on ICT in Education (pp. 709-720). https://doi.org/10.31812/12345....
 
13.
Huda, M. E. (2019). The problematic: Teachers’ pedagogical ability in using technology on mathematics learning of junior high school. Journal of Physics, 1200, 012009. https://doi.org/10.1088/ 1742-6596/1200/1/012009.
 
14.
Kechil, R., Mohd, A., & Mohammad, A. (2022). Geogram: Digital game-based learning tool for improving basic geometric knowledge. https://ir.uitm.edu.my/id/epri....
 
15.
Keldgord, F., & Ching, Y.-H. (2022). Teachers’ experiences with and perceptions of virtual manipulatives following the COVID-19 pandemic. TechTrends, 66, 957-967. https://doi.org/10.1007/s11528....
 
16.
Klizienė, I., Taujanskienė, G., Augustiniene, A., Simonaitienė, B., & Cibulskas, G. (2021). The impact of the virtual learning platform EDUKA on the academic performance of primary school children. Sustainability, 13(4), 2268. https://doi.org/10.3390/su1304....
 
17.
Lee, J. Y., Pyon, C. U., & Woo, J. (2023a). Digital twin for math education: A study on the utilization of games and gamification for university mathematics education. Electronics, 12(15), 3207. https://doi.org/10.3390/electr....
 
18.
López-García, A. (2023). Effectiveness of a teaching methodology based on the theory of historical thinking through active methods and digital resources in Spanish adolescents. Frontiers in Education, 8. https://doi.org/10.3389/feduc.....
 
19.
Martín Díaz, A., Alario-Hoyos, C., Estévez-Ayres, I., Delgado Kloos, C., & Fernández-Panadero, C. (2023). ABENEARIO: A system for learning early maths with ABN. Education and Information Technologies, 28, 12859-12881. https://doi.org/10.1007/s10639....
 
20.
Martin, C. S., Harbour, K., & Polly, D. (2022). Examining how emergency remote teaching influenced mathematics teaching. TechTrends, 66(2), 338-350. https://doi.org/10.1007/s11528....
 
21.
Martín-Gutiérrez, J., Mora, C. E., Añorbe-Díaz, B., & González-Marrero, A. (2017). Virtual technologies trends in education. EURASIA Journal of Mathematics, Science and Technology Education, 13(2), 469-486. https://doi.org/10.12973/euras....
 
22.
Mato-Vázquez. D., Castro-Rodríguez M., & Pereiro-González, C. (2018). Análisis de materiales didácticos digitales para guiar y/o apoyar el proceso de enseñanza-aprendizaje de las matemáticas [Analysis of digital teaching materials to guide and/or support the teaching-learning process of mathematics]. Revista d’Innovació Educativa [Educational Innovation Magazine], 20, 80-88. https://doi.org/10.7203/attic.....
 
23.
Mayasari, N., Hasanudin, C., & Fitrianingsih, A. (2020). The use of wingeom software in geometry subject, how is the learning outcomes of junior high school students? Journal of Physics: Conference Series, 1477, 042042. https://doi.org/10.1088/1742-6....
 
24.
Moral-Sánchez, S. N., Sánchez-Compaña, M. ª. T., & Romero, I. (2022). Geometry with a STEM and gamification approach: A didactic experience in secondary education. Mathematics, 10(18), 3252. https://doi.org/10.3390/math10....
 
25.
Oliveira Jr, A. P., & Datori Barbosa, N. (2023). Tasks about impossible random events: A pedagogical game as a teaching tool for the early years of elementary school. Acta Scientiae [Journal of Science], 25(6), 183-208. https://doi.org/10.17648/acta.....
 
26.
Palma, G. A., Arteaga, M. J., Hermosilla, A. S., Delgado, A., & Lee, E. (2023). Development of a web system to improve and reinforce learning in mathematics in primary and secondary students in Peru. International Journal on Recent and Innovation Trends in Computing and Communication, 11(5), 23218169. https://doi.org/10.17762/ijrit....
 
27.
Polypad – virtual manipulatives – mathigon. (2023). https://mathigon.org/polypad.
 
28.
Rahayu, E. G. S., Juandi, D., & Jupri, A. (2021). Didactical design for distance concept in solid geometry to develop mathematical representation ability in vocational high school. Journal of Physics: Conference Series, 1882(1), 012077. https://doi.org/10.1088/1742-6....
 
29.
Rumanová, L. (2022). Reflection of problem solving task and importance of a-priori analysis in preparing teacher for the teaching process. TEM Journal, 11(2), 837-841. https://doi.org/10.18421/tem11....
 
30.
Salas, R., Ramírez, J., Eslava, A., Castañeda, R., & de la Cruz, G. (2022). Teachers’ perception of web games and mobile devices at the higher educational level during the COVID-19 pandemic. Texto Livre [Free Text], 15, e37074. https://doi.org/10.35699/1983-....
 
31.
Sepeng, P. (2023). Unlocking mathematical potential–The impact of dynamic symmetry activities on learning and teaching mathematics. Symmetry: Culture and Science, 34(3), 297-316. https://doi.org/10.26830/symme....
 
32.
Tetchueng, J.-L., Garlatti, S., & Laube, S. (2007). A didactic-based model of scenarios for designing an adaptive and context-aware learning system. In Proceedings of the IEEE/WIC/ACM International Conference on Web Intelligence (pp. 703-726). IEEE. https://doi.org/10.1109/wi.200....
 
33.
Thompson, M., Leonard, G., Mikeska, J. N., Lottero, P. S., Maltese, A., Pereira, G., Hillaire, G., Waldron, R., Slama, R., & Reich, J. (2022). Eliciting learner knowledge: Enabling focused practice through an open-source online tool. Behavioral Sciences, 12(9), 324. https://doi.org/10.3390/bs1209....
 
34.
Vergara, A. (2021) ¿Se aprende matemáticas en un modelo virtual? [Do you learn mathematics in a virtual model?] https://observatorio.tec.mx/ed....
 
35.
Zaikin, O., Malinowska, M., Bakhtadze, N., & Żyławski, A. (2017). Motivation and social aspects of competence-based learning process. Procedia Computer Science, 112, 1092-1101. https://doi.org/10.1016/j.proc....
 
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