La explicación en el aula de matemáticas: una revisión de la literatura
DOI:
https://doi.org/10.31637/epsir-2025-921Keywords:
mathematical explanation, primary education, secondary education, PRISMA methodology, teacher training, pedagogical development, effective learning, systematic reviewAbstract
Introduction: Research on explanation in the teaching of mathematics at the secondary education level is crucial for improving understanding and the effective learning of mathematical concepts. This study focuses on analyzing empirical research that has addressed the explanation in the teaching of mathematics at the secondary level, published in the last five years in journals indexed in the Web of Science. Methodology: A systematic analysis is carried out, following the PRISMA methodology to ensure a systematic and reproducible analysis. Results: The findings highlight that research at the primary and secondary educational levels on mathematical explanation is scarce. Studies with teaching innovations predominate. Discussions: The need for ongoing training for teachers is discussed, emphasizing the importance of clear explanations tailored to the needs of the students to facilitate deep and enduring learning, as well as the practical implications of the study. Conclusions: This study underscores the opportunity to expand research in this field to enrich pedagogical practices and improve the teaching of mathematics at fundamental educational levels.
Downloads
References
Abín, A., Núñez, J. C., Rodríguez, C., Cueli, M., García, T. y Rosário, P. (2020). Predicting mathematics achievement in secondary education: The role of cognitive, motivational, and emotional variables. Frontiers in Psychology, 11, 876. https://doi.org/10.3389/fpsyg.2020.00876 DOI: https://doi.org/10.3389/fpsyg.2020.00876
Aliu, A., Rexhepi, S. y Iseni, E. (2023). Efficiency of understanding some mathematical problems by means of Pascal's Triangle. International Electronic Journal of Mathematics Education, 18(4), em0753. https://doi.org/10.29333/iejme/13713 DOI: https://doi.org/10.29333/iejme/13713
Bernacki, M. L., Greene, M. J. y Lobczowski, N. G. (2021). A systematic review of research on personalized learning: Personalized by whom, to what, how, and for what purpose(s)? Educational Psychology Review, 33(4), 1675-1715. https://doi.org/10.1007/s10648-021-09615-8 DOI: https://doi.org/10.1007/s10648-021-09615-8
Cahyono, A. N., Sukestiyarno, Y. L., Asikin, M., Ahsan, M. G. K. y Ludwig, M. (2020). Learning mathematical modelling with augmented reality mobile math trails program: How can it work? Journal on Mathematics Education, 11(2), 181-192. http://doi.org/10.22342/jme.11.2.10729.181-192 DOI: https://doi.org/10.22342/jme.11.2.10729.181-192
Catubig, M. (2023). Exploring student-centered approaches in mathematics education: a qualitative case study. Excellencia: International Multi-disciplinary Journal of Education, 1(3), 48-62. https://acortar.link/TctpP7
Cenas Chacón, F. Y., Gamboa Ferrer, L. R., Blaz Fernández, F. E. y Castro Mendocilla, W. E. (2021). Geogebra: herramienta tecnológica para el aprendizaje significativo de las matemáticas en universitarios. Horizontes Revista de Investigación en Ciencias de la Educación, 5(18), 382-390. https://doi.org/10.33996/revistahorizontes.v5i18.181 DOI: https://doi.org/10.33996/revistahorizontes.v5i18.181
Cevikbas, M. y Kaiser, G. (2023). Can flipped classroom pedagogy offer promising perspectives for mathematics education on pandemic-related issues? A systematic literature review. ZDM–Mathematics Education, 55(1), 177-191. https://doi.org/10.1007/s11858-022-01388-w DOI: https://doi.org/10.1007/s11858-022-01388-w
Dowker, A. y Sheridan, H. (2022). Relationships between mathematics performance and attitude to mathematics: influences of gender, test anxiety, and working memory. Frontiers in Psychology, 13. https://doi.org/10.3389/fpsyg.2022.814992 DOI: https://doi.org/10.3389/fpsyg.2022.814992
Engelbrecht, J. y Borba, M. C. (2024). Recent developments in using digital technology in mathematics education. ZDM–Mathematics Education, 56(2), 281-292. https://doi.org/10.1007/s11858-023-01530-2 DOI: https://doi.org/10.1007/s11858-023-01530-2
Gallego-Sánchez, I. M., González Herrera, A. y Gavilán Izquierdo, J. M. (2022). Analyzing pedagogical routines in the upper secondary school teacher’s discourse using the commognitive approach. International Journal of Instruction, 15(3), 291-306. https://doi.org/10.29333/iji.2022.15316a DOI: https://doi.org/10.29333/iji.2022.15316a
García-Fernández, R., Rodríguez-Llagüerri, S., Presado, M. H., Baixinho, C. L., Martín-Vázquez, C. y Liebana-Presa, C. (2023). Autoeficacia en la lactancia materna y apoyo social: Un estudio de revisión sistemática. New Trends in Qualitative Research, 18, 1-11. https://doi.org/10.36367/ntqr.18.2023.e875 DOI: https://doi.org/10.36367/ntqr.18.2023.e875
Gürefe, N. y Aktas, G. S. (2020). The concept of prime number and the strategies used in explaining prime numbers. South African Journal of Education, 40(3), 1-9. https://dx.doi.org/10.15700/saje.v40n3a1741 DOI: https://doi.org/10.15700/saje.v40n3a1741
Harel, G. (2024). Epistemological justification. ZDM–Mathematics Education, 1-13. https://doi.org/10.1007/s11858-024-01603-w DOI: https://doi.org/10.1007/s11858-024-01603-w
Higgins, J., Chandler, J., Cumpston, M., Li, T., Page, M. y Welch, V. (2019). Cochrane Handbook for Systematic Reviews of Interventions. Wiley. DOI: https://doi.org/10.1002/9781119536604
Izquierdo-Álvarez, V. y Herrero-Pascual, R. (2023). Experiencia estudiantil en el aprendizaje a distancia de matemáticas en tiempos de pandemia. En S. Silva, P. Peres y C. Silva (Eds.), Developing Curriculum for Emergency Remote Learning Environments (pp. 214-232). IGI Global.
Lehet, E. (2021a). Mathematical explanation in practice. Axiomathes, 31(5), 553-574. https://doi.org/10.1007/s10516-021-09557-4 DOI: https://doi.org/10.1007/s10516-021-09557-4
Lehet, E. (2021b). Induction and explanatory definitions in mathematics. Synthese, 198(2), 1161-1175. https://doi.org/10.1007/s11229-019-02095-y DOI: https://doi.org/10.1007/s11229-019-02095-y
Li, Q., Cho, H., Cosso, J. y Maeda, Y. (2021). Relations between students’ mathematics anxiety and motivation to learn mathematics: A meta-analysis. Educational Psychology Review, 33, 1017-1049. https://doi.org/10.1007/s10648-020-09589-z DOI: https://doi.org/10.1007/s10648-020-09589-z
Lo, C. K. y Hew, K. F. (2021). Student engagement in mathematics flipped classrooms: Implications of journal publications from 2011 to 2020. Frontiers in Psychology, 12, 672610. https://doi.org/10.3389/fpsyg.2021.672610 DOI: https://doi.org/10.3389/fpsyg.2021.672610
Maldonado-García, B. E., Ocampo-Díaz, A. y Portuguez-Castro, M. (2022). Evaluando diferencias en competencias matemáticas en estudiantes de secundaria durante condiciones de pandemia a través de una plataforma preparada. Education Sciences, 12(8), 546. https://doi.org/10.3390/educsci12080546 DOI: https://doi.org/10.3390/educsci12080546
Margulieux, L. E. y Catrambone, R. (2021). Scaffolding problem solving with learners’ own self explanations of subgoals. Journal of Computing in Higher Education, 33(2), 499-523. https://doi.org/10.1007/s12528-021-09275-1 DOI: https://doi.org/10.1007/s12528-021-09275-1
Mensah, E. y Baidoo-Anu, D. (2022). Towards quality and equitable education in South Africa: Unpacking the relationship between teacher factors, students’ socioeconomic background and mathematics achievements. Research in Mathematics, 9(1). https://doi.org/10.1080/27684830.2022.2088645 DOI: https://doi.org/10.1080/27684830.2022.2088645
Meyer, M. y Schnell, S. (2020). What counts as a “good” argument in school? - how teachers grade students’ mathematical arguments. Educational Studies in Mathematics, 105(1), 35-51. https://doi.org/10.1007/s10649-020-09974-z DOI: https://doi.org/10.1007/s10649-020-09974-z
Moliner, L. y Alegre, F. (2020). Peer tutoring effects on students’ mathematics anxiety: A middle school experience. Frontiers in Psychology, 11, 1610. https://doi.org/10.3389/fpsyg.2020.01610 DOI: https://doi.org/10.3389/fpsyg.2020.01610
Murtafiah, W., Sa'dijah, C., Candra, T. D. y As'ari, A. R. (2018). Exploring the explanation of pre-service teacher in mathematics teaching practice. Journal on Mathematics Education, 9(2), 259-270. https://doi.org/10.22342/jme.9.2.5388.259-270 DOI: https://doi.org/10.22342/jme.9.2.5388.259-270
Page, M. J., McKenzie, J. E., Bossuyt, P. M., Boutron, I., Hoffmann, T. C., Mulrow, C. D., Shamseer, L., Tetzlaff, J. M., Akl, E. A., Brennan, S. E., Chou, R., Glanville, J., Grimshaw, J. M., Hróbjartsson, A., Lalu, M. M., Li, T., Loder, E. W., Mayo-Wilson, E., McDonald, S., McGuinness, L., Stewart, L., Thomas, J., Tricco, A., Whiting, P., Moher, D. (2021). Declaración PRISMA2020: Una guía actualizada para la publicación de revisiones sistemáticas. Revista Española de Cardiología, 74(9), 790-799. https://doi.org/10.1016/j.recesp.2021.06.016 DOI: https://doi.org/10.1016/j.rec.2021.07.010
Pang, J. y Seah, W. T. (2021). Excellent mathematical performance despite “negative” affect of students in Korea: The values perspective. ECNU Review of Education, 4(2), 285-306. https://doi.org/10.1177/2096531120930726 DOI: https://doi.org/10.1177/2096531120930726
Ray, R. (2007). Designing and conducting mixed methods research. Qualitative Research Journal, 7(2), 90-92. DOI: https://doi.org/10.3316/QRJ0702090
Roschelle, J., Rafanan, K., Bhanot, R., Estrella, G., Penuel, B., Nussbaum, M. y Claro, S. (2010). Scaffolding group explanation and feedback with handheld technology: Impact on students’ mathematics learning. Educational Technology Research and Development, 58, 399-419. https://doi.org/10.1007/s11423-009-9142-9 DOI: https://doi.org/10.1007/s11423-009-9142-9
Santos-Trigo, M. (2024). Problem solving in mathematics education: tracing its foundations and current research-practice trends. ZDM–Mathematics Education, 1-12. https://doi.org/10.1007/s11858-024-01578-8 DOI: https://doi.org/10.1007/s11858-024-01578-8
Soto, M. M. y Ambrose, R. (2016). Making students' mathematical explanations accessible to teachers through the use of digital recorders and iPads. Learning, Media and Technology, 41(2), 213-232. https://doi.org/10.1080/17439884.2014.931867 DOI: https://doi.org/10.1080/17439884.2014.931867
Süren, N. y Kandemir, M. A. (2020). The effects of mathematics anxiety and motivation on students’ mathematics achievement. International Journal of Education in Mathematics, Science and Technology, 8(3), 190-218. https://doi.org/10.46328/ijemst.v8i3.926 DOI: https://doi.org/10.46328/ijemst.v8i3.926
Szczygieł, M. (2020). When does math anxiety in parents and teachers predict math anxiety and math achievement in elementary school children? The role of gender and grade year. Social Psychology of Education, 23(4), 1023-1054. https://doi.org/10.1007/s11218-020-09570-2 DOI: https://doi.org/10.1007/s11218-020-09570-2
Wang, A., Xiao, R., Zhang, C., Yuan, L., Lin, N., Yan, L., Wang, Y., Yu, J., Huang, Q., Gan, P., Xiong, C., Xu, Q., y Liao, H. (2022). Effectiveness of a combined problem-based learning and flipped classroom teaching method in ophthalmic clinical skill training. BMC Medical Education, 22(1), 487. https://doi.org/10.1186/s12909-022-03538-w DOI: https://doi.org/10.1186/s12909-022-03538-w
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Gabriel Valdés-León
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors who publish with this journal agree to the following terms:- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under Creative Commons Non Commercial, No Derivatives Attribution 4.0. International (CC BY-NC-ND 4.0.), that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).