Estrategias pedagógicas e innovadoras para fortalecer el razonamiento lógico matemático en estudiantes: una revisión sistemática
Pedagogical and Innovative Strategies to Strengthen Logical-Mathematical Reasoning in Students: A Systematic ReviewContenido principal del artículo
La presente investigación tiene como objetivo analizar y describir las estrategias pedagógicas e innovadoras que contribuyen al fortalecimiento del razonamiento lógico matemático en estudiantes del nivel primario. Se aplicó una metodología de revisión sistemática, recopilando y evaluando estudios académicos publicados entre 2010 y 2024 en bases de datos científicas como Scopus, Web of Science, Redalyc y Dialnet. Los hallazgos destacan que las estrategias basadas en el aprendizaje activo, la gamificación, el uso de materiales concretos y las herramientas digitales fomentan la comprensión conceptual y la motivación estudiantil. Se concluye que la combinación de enfoques pedagógicos tradicionales e innovadores es fundamental para potenciar el razonamiento lógico matemático, promoviendo aprendizajes duraderos y competencias cognitivas esenciales en la educación primaria.
Assessing the impact of university professional training is key to analysing institutional relevance, educational This research aims to analyze and describe the pedagogical and innovative strategies that contribute to strengthening logical-mathematical reasoning in primary school students. A systematic review methodology was applied, collecting and evaluating academic studies published between 2015 and 2024 in scientific databases such as Scopus, Web of Science, Redalyc, and Dialnet. The findings highlight that strategies based on active learning, gamification, the use of concrete materials, and digital tools foster conceptual understanding and student motivation. It is concluded that the combination of traditional and innovative pedagogical approaches is essential to enhance logical-mathematical reasoning, promoting lasting learning and essential cognitive competencies in primary education.
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Abdullah M., A. A., y Yang, C. (2018). Impact of active learning on mathematical achievement: An empirical study in Saudi Arabia primary schools. International Journal of Innovation and Economic Development, 4(2), 57–78. https://doi.org/10.18775/ijied.1849-7551-7020.2015.42.2005
Ahdhianto, E., Marsigit, y Nurfauzi, Y. (2020). Improving fifth-grade students’ mathematical problem-solving and critical thinking skills using problem-based learning. Universal Journal of Educational Research, 8(19), 3902-3911. https://doi.org/10.13189/ujer.2020.081902
Arifuddin, A. (2020). The analysis of critical thinking skills of primary school teacher candidates in solving mathematical problems. Al Ibtida: Jurnal Pendidikan Guru MI, 7(1), 46-55. http://dx.doi.org/10.24235/al.ibtida.snj.v7i1.6212
Ausubel, D. (1983). Teoría del aprendizaje significativo. Fascículos de CEIF, 1(1-10), 1-10. https://www.academia.edu/download/36648472/Aprendizaje_significativo.pdf
Ayada, I. M., y Tegeh, I. M. (2023). Environmentally based stad type cooperative learning model improves mathematics learning outcomes. Jurnal Ilmiah Sekolah Dasar, 7(4), 722-729. https://doi.org/10.23887/jisd.v7i4.60873
Belisario, E. R., y Bernal, S. M. H. (2024). El Juego educativo.: Desbloqueando el potencial del aprendizaje lúdico. Revista Digital de Investigación y Postgrado, 5(10), 247-258. https://doi.org/10.59654/kbc2pg21
Bobis, J., Kaur, B., Cartwright, K., y Darragh, L. (2020). Teachers’ professional learning and development in mathematics education. Research in mathematics education in Australasia 2016–2019, 117-146. https://doi.org/10.1007/978-981-15-4269-5_6
Bryce, T. G. K., y Blown, E. J. (2024). Ausubel’s meaningful learning re-visited. Current Psychology, 43(5), 4579-4598. https://doi.org/10.1007/s12144-023-04440-4
Carbonneau, K. J., Marley, S. C., y Selig, J. P. (2013). A meta-analysis of the efficacy of teaching mathematics with concrete manipulatives. Journal of Educational Psychology, 105(2), 380–400. https://doi.org/10.1037/a0031084
Chong-Baque, P. G., y Marcillo-García, C. E. (2024). (2020). Estrategias pedagógicas innovadoras en entornos virtuales de aprendizaje. Dominio de las Ciencias, 6(3), 56-77. https://dialnet.unirioja.es/servlet/articulo?codigo=7539680
Chuchalina, Y. (2024). The effect of gamification on motivation and success in learning mathematics in primary school. Актуальні Питання Гуманітарних Наук, 75(3), 315-321. https://doi.org/10.24919/2308-4863/75-3-46
Debrenti, E. (2024). Game-Based Learning experiences in primary mathematics education. In Frontiers in Education (Vol. 9, p. 1331312). Frontiers Media SA. https://doi.org/10.3389/feduc.2024.1331312
Di Tommaso, M. L., Contini, D., De Rosa, D., Ferrara, F., Piazzalunga, D., y Robutti, O. (2024). Tackling the gender gap in mathematics with active learning methodologies. Economics of Education Review, 100, 102538. https://doi.org/10.1016/j.econedurev.2024.102538
Duval, R. (1999). Representation, vision and visualization: Cognitive functions in mathematical thinking. Basic issues for learning. (ERIC Document Reproduction Service No. ED466379). https://n9.cl/sqwd8
Fullan, M., y Langworthy, M. (2014). A Rich Seam: How New Pedagogies Find Deep Learning. Pearson. https://staging.oer4pacific.org/id/eprint/5/
Goddard, Y. L., Goddard, R. D., y Tschannen-Moran, M. (2007). A theoretical and empirical investigation of teacher collaboration for school improvement and student achievement in public elementary schools. Teachers college record, 109(4), 877-896. https://doi.org/10.1177/016146810710900401
Heid, M. K. (2018). Digital tools in lower secondary school mathematics education: A review of qualitative research. In Technology in Primary and Secondary Mathematics Education (pp. 123-145). Springer. https://doi.org/10.1007/978-3-319-76575-4_10
Hošpesová, A., Carrillo, J., y Santos, L. (2018). Mathematics teacher education and professional development. In Developing research in mathematics education (pp. 181-195). Routledge. https://n9.cl/xryfj
Kablan, Z. (2016). The effect of manipulatives on mathematics achievement across different learning styles. Educational Psychology, 36(8), 1486-1504. https://doi.org/10.1080/01443410.2014.946889
Karamert, Ö., y Vardar, A. K. (2021). The effect of gamification on young mathematics learners’ achievements and attitudes. Journal of Educational Technology and Online Learning, 4(2), 96-114. https://doi.org/10.31681/jetol.904704
Kimble, T. (2020). The impact of gamification on the mathematics achievement of elementary students. Kennesaw State University. https://digitalcommons.kennesaw.edu/teachleaddoc_etd/43/
Kliziene, I., Sinkeviciene, G., Cizauskas, G., y Augustiniene, A. (2024). The impact of gamification on achievement in mathematics among primary school pupils with hearing impairment. Cogent Education, 11(1), 2432100. https://doi.org/10.1080/2331186X.2024.2432100
Kutaka, T. S., Smith, W. M., Albano, A. D., Edwards, C. P., Ren, L., Beattie, H. L., ... y Stroup, W. W. (2017). Connecting teacher professional development and student mathematics achievement: A 4-year study of an elementary mathematics specialist program. Journal of Teacher Education, 68(2), 140-154. https://doi.org/10.1177/0022487116687551
Litster, K., MacDonald, B., y Shumway, J. F. (2020). Experiencing active mathematics learning: Meeting the expectations for teaching and learning in mathematics classrooms. The Montana Math Enthusiast, 17(2–3), 615–640. https://doi.org/10.54870/1551-3440.1499
Loong, E. Y. K., y Herbert, S. (2018). Primary school teachers’ use of digital technology in mathematics: The complexities. Mathematics Education Research Journal, 30, 475-490. https://doi.org/10.1007/s13394-018-0235-9
Macapayad, G. L. (2025). Problem-based learning approach and mathematics problem-solving performance of grade 9 students. European Journal of Education Studies, 12(6). http://dx.doi.org/10.46827/ejes.v12i6.5953
Majoka, M. I., Dad, M. H., y Mahmood, T. (2010). Student team achievement division (STAD) as an active learning strategy: Empirical evidence from mathematics classroom. Journal of Education and Practice, 1(5), 7-15. https://doi.org/10.7176/JEP/1-5-07
Majoka, M. I., Dad, M. H., y Mahmood, T. (2010). Student team achievement division (STAD) as an active learning strategy: Empirical evidence from mathematics classroom. Journal of Education and Sociology, 4, 16-20. https://n9.cl/lpjyo
Meylani, R. (2025). Gamification and Game-Based Learning in Mathematics Education for Advancing SDG 4: A Systematic Review and Qualitative Synthesis of Contemporary Research Literature. Journal of Lifestyle and SDGs Review, 5(2), e04567-e04567. https://doi.org/10.47172/2965-730X.SDGsReview.v5.n02.pe04567
Muliawati, I., y Aldin, A. (2024). The Effectiveness of the Problem Based Learning Model on Elementary School Students' Mathematics Learning Outcomes. Journal of Indonesian Primary School, 1(2), 27-31. https://doi.org/10.62945/jips.v1i2.91
Mulyanto, H., Gunarhadi, G., y Indriayu, M. (2018). The effect of problem based learning model on student mathematics learning outcomes viewed from critical thinking skills. International Journal of Educational Research Review, 3(2), 37-45. https://doi.org/10.24331/ijere.408454
Ojose, B. (2008). Applying Piaget's Theory of Cognitive Development to Mathematics Instruction. Mathematics Educator, 18(1), 26-30. https://eric.ed.gov/?id=EJ841568
Page, M. J., McKenzie, J. E., Bossuyt, P. M., Boutron, I., Hoffmann, T. C., Mulrow, C. D., ... y Moher, D. (2021). The PRISMA 2020 statement: an updated guideline for reporting systematic reviews. BMJ, 372. https://doi.org/10.1136/bmj.n71
Pamplona-Raigosa, J., Cuesta-Saldarriaga, J. C., y Cano-Valderrama, V. (2019). Estrategias de enseñanza del docente en las áreas básicas: una mirada al aprendizaje escolar. Revista eleuthera, 21, 13-33. https://doi.org/10.17151/eleu.2019.21.2
Paniagua, A., y Istance, D. (2018). Teachers as Designers of Learning Environments the Importance of Innovative Pedagogies. Organisation for Economic Co-operation and Development (OECD).
Peri, A., y Gómez Zaccarelli, F. (2024). Características de la investigación sobre desarrollo profesional en educación matemática y su aproximación a los aprendizajes de los estudiantes. Educación matemática, 36(1), 155-186. https://doi.org/10.24844/em3601.06
Piaget, J. (1970). Science of Education and the Psychology of the Child. Orion Press.
Presmeg, N. (2006). Research on visualization in learning and teaching mathematics. Handbook of research on the psychology of mathematics education, 205-235. https://doi.org/10.1163/9789087901127_009
Rogers, M. P., Abell, S., Lannin, J., Wang, C. Y., Musikul, K., Barker, D., y Dingman, S. (2007). Effective professional development in science and mathematics education: Teachers' and facilitators' views. International journal of science and mathematics education, 5(3), 507-532. https://doi.org/10.1007/s10763-006-9053-8
Ruiz Hidalgo, D., y Ortega-Sánchez, D. (2022). El aprendizaje basado en proyectos: una revisión sistemática de la literatura (2015-2022). HUMAN REVIEW. International Humanities Review / Revista Internacional De Humanidades, 14(6), 1–14. https://doi.org/10.37819/revhuman.v14i6.1286
Sánchez-Arévalo, B. M., Valenciano-Valcárcel, J., y Fernández-Cézar, R. (2025). Análisis sobre el uso de la Gamificación en Educación Matemática en Primaria: Una Revisión de la Literatura. Journal of Research in Mathematics Education, 14(1), 30–55. https://doi.org/10.17583/redimat.16133
Siller, H.-S., y Ahmad, S. (2024). The effect of concrete and virtual manipulative blended instruction on mathematical achievement for elementary school students. Canadian Journal of Science Mathematics and Technology Education, 24(2), 229–266. https://doi.org/10.1007/s42330-024-00336-y
Talkhan, E., Alhubaidah, S., Muthanna, A., y Qadhi, S. (2025). The effect of cooperative learning toward mathematics achievement of primary students: A systematic review using meta-analysis. Social Sciences y Humanities Open, 12, 102247. https://doi.org/10.1016/j.ssaho.2025.102247
Türkmen, G. P., y Soybaş, D. (2019). The effect of gamification method on students' achievements and attitudes towards mathematics. Bartın University Journal of Faculty of Education, 8(1), 258-298. https://doi.org/10.14686/buefad.424575
Tytler, R., Smith, R., Grover, P., y Brown, S. (1999). A comparison of professional development models for teachers of primary mathematics and science. International Journal of Teacher Education, 27(3), 304-318. https://doi.org/10.1080/1359866990270304
Vale, I., y Barbosa, A. (2023). Active learning strategies for an effective mathematics teaching and learning. European Journal of Science and Mathematics Education, 11(3), 573–588. https://doi.org/10.30935/scimath/13135
Vygotsky, L. S. (1978). Mind in Society: The Development of Higher Psychological Processes. Harvard University Press.
Xie, L., Charatkamolpong, S., y Kanjanakate, S. (2025). Constructing an Integrated Problem-Based and Collaborative Learning Model: Empirical Research on the Development of Fourth-Grade Primary School Students' Problem-Solving and Teamwork Skills in Mathematics Class. Asian Journal of Contemporary Education, 9(1), 82-93. https://eric.ed.gov/?id=EJ1465158
Žakelj, A., Cotič, M., y Doz, D. (2024). Evaluating the impact of active and experiential learning in mathematics: an experimental study on eighth-grade student outcomes. Cogent Education, 11(1), 2436698. https://doi.org/10.1080/2331186X.2024.2436698
Zamir, S., Yang, Z., Wenwu, H., y Sarwar, U. (2022). Assessing the attitude and problem-based learning in mathematics through PLS-SEM modeling. PloS One, 17(5), e0266363. https://doi.org/10.1371/journal.pone.0266363