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Vol. 27 Núm. 2 (2024): Julio

Enseñanza eficaz de las matemáticas: una revisión sistemática de la literatura

DOI
https://doi.org/10.12802/relime.24.2722
Enviado
julio 17, 2025
Publicado
2024-07-31

Resumen

Esta revisión sistemática se plantea dos objetivos: determinar los factores de enseñanza eficaz de las matemáticas que inciden en el desarrollo de logros cognitivos en los estudiantes y conceptualizar el término enseñanza eficaz de las matemáticas. Se siguió un protocolo que permitió filtrar y analizar 31 artículos que revelan la multidimensionalidad y la estrecha relación que se entreteje entre los factores identificados, los cuales fueron agrupados en 3 categorías: factores asociados a características del docente como profesional, la dimensión general de la enseñanza y la dimensión específica de la enseñanza de las matemáticas. También destaca entre los resultados la escasez de estudios en idioma castellano y la necesidad de implementar una metodología mixta en los estudios sobre este tópico.

Citas

  1. Aguilar-González, A., Muñoz-Catalán, C., Carrillo-Yáñez, J. y Rodríguez-Muñiz, L. J. (2018). ¿Cómo establecer relaciones entre conocimiento especializado y concepciones del profesorado de matemáticas? PNA, 13(1), 41–61. https://doi.org/10.30827/pna.v13i1.7944
  2. Anderson, R. K., Boaler, J. y Dieckmann, J. A. (2018). Achieving elusive teacher change through challenging myths about learning: a blended approach. Education Sciences, 8(3) 98. https://doi.org/10.3390/educsci8030098
  3. Anthony, G. y Walshaw, M. (2007, abril). Characteristics of effective teaching of Mathematics: an evidential synthesis. [Artículo presentado ante la American Educational Research Association]. Chicago, Illinois, Estados Unidos. https://www.massey.ac.nz/massey/fms/Colleges/College%20of%20Education/Documents/C%26P/Anthony/AERA%20-%20Characteristics%20of%20Effective%20Teaching.pdf
  4. Anthony, G. y Walshaw, M. (2009). Characteristics of effective teaching of Mathematics: a view from the west. Journal of Mathematics Education, 2(2), 147–164. https://journalofmathed.scholasticahq.com/article/122428-characteristics-of-effective-teaching-of-mathematics-aview-from-the-west
  5. Askew, M. (2020). Identifying effective mathematics teaching: some questions for research. African Journal of Research in Mathematics, Science & Technology Education, 24(1), 1–9. https://doi.org/10.1080/18117295.2019.1710049
  6. Azigwe, J. B., Kyriakides, L., Panayiotou, A. y Creemers, B. P. M. (2016). The impact of effective teaching characteristics in promoting student achievement in Ghana. International Journal of Educational Development, 51, 51–61. https://doi.org/10.1016/j.ijedudev.2016.07.004
  7. Barnes, C. (2015). The use of altmetrics as a tool for measuring research impact. Australian Academic & Research Libraries, 46(2), 121–134. https://doi.org/10.1080/00048623.2014.1003174
  8. Blazar, D. (2015). Effective teaching in elementary mathematics: identifying classroom practices that support student achievement. Economics of Education Review, 48, 16–29. https://doi.org/10.1016/j.econedurev.2015.05.005
  9. Blazar, D., Braslow, D., Charalambous, C. Y. y Hill, H. C. (2017). Attending to general and mathematics-specific dimensions of teaching: exploring factors across two observation instruments. Educational Assessment, 22(2), 71–94. https://doi.org/10.1080/10627197.2017.1309274
  10. Bolyard, J. J. y Moyer-Packenham, P. S. (2008). A review of the literature on mathematics and science teacher quality. Peabody Journal of Education, 83(4), 509–535. https://doi.org/10.1080/01619560802414890
  11. Borrego, M., Foster, M. J. y Froyd, J. E. (2014). Systematic literature reviews in engineering education and other developing interdisciplinary fields. Journal of Engineering Education,103(1), 45–76. https://doi.org/10.1002/jee.20038
  12. Carrillo, J., Climent, N., Contreras, L. C. y Muñoz-Catalán, M. C. (2013). Determining specialized knowledge for mathematics teaching. In B. Ubuz, C. Haser y M. A. Mariotti (Eds.), Proceedings of the VIII Congress of the European Society for Research in Mathematics Education (CERME 8) (pp. 2985–2994). Middle East Technical University. http://cerme8.metu.edu/wgpapers/WG17/Wg17_Climent.pdf
  13. Chetty, R., Friedman, J. N. y Rockoff, J. E. (2014). Measuring the impacts of teachers II: teacher value-added and student outcomes in adulthood. American Economic Review, 104 (9): 2633–2679. https://doi.org/10.1257/aer.104.9.2633
  14. Creemers, B. P. M. (1994). The effective classroom. Cassell.
  15. Díaz-Castelazo, C. (2018). La importancia del idioma inglés para el desarrollo y enseñanza de las ciencias. Revista Eduscientia. Divulgación de la ciencia educativa, 1(2), 60–68. https://www.eduscientia.com/index.php/journal/article/view/27
  16. Ekmekci, A., Corkin, D. M. y Fan, W. (2019). A multilevel analysis of the impact of teachers’ beliefs and mathematical knowledge for teaching on students’ mathematics achievement. Australian Journal of Teacher Education, 44(12), 57–80. https://doi.org/10.14221/ajte.2019v44n12.4
  17. Flores-Kanter, P. E. y Medrano, L. A. (2019). Núcleo básico en el análisis de datos cualitativos: pasos, técnicas de identificación de temas y formas de presentación de resultados. Interdisciplinaria: Revista de Psicología y Ciencias Afines, 36(2), 203–215. https://www.redalyc.org/journal/180/18060566010/html.
  18. Flores-Medrano, E., Montes, M. A., Carrillo, J., Contreras, L. C., Muñoz-Catalán, M. C. y Liñán, M. M. (2016). El papel del MTSK como modelo de conocimiento del profesor en las interrelaciones entre los espacios de trabajo matemático. Bolema: Boletim de Educação Matemática, 30(54), 204–221. https://doi.org/10.1590/1980-4415v30n54a10
  19. Good, T. L. y Grouws, D. A. (1979). The Missouri Mathematics Effectiveness Project: an experimental study in fourth-grade classrooms. Journal of Educational Psychology, 71(3), 355–362. https://doi.org/10.1037/0022-0663.71.3.355
  20. Hattie, J. A. C. (2009). Visible learning: a synthesis of over 800 meta-analyses relating to achievement. Routledge.
  21. Hemmi, K. y Ryve, A. (2015). Effective mathematics teaching in Finnish and Swedish teacher education discourses. Journal of Mathematics Teacher Education, 18(6), 501–521. https://doi.org/10.1007/s10857-014-9293-4
  22. Hill, H. C., Blunk, M. L., Charalambous, C. Y., Lewis, J. M., Phelps, G. C., Sleep, L. y Loewenberg
  23. Ball, D. (2008). Mathematical knowledge for teaching and the mathematical quality of instruction: an exploratory study. Cognition and Instruction, 26(4), 430–511, https://doi.org/10.1080/07370000802177235
  24. Hill, H. C., Umland, K., Litke, E. y Kapitula, L. R. (2012). Teacher quality and quality teaching: examining the relationship of a teacher assessment to practice. American Journal of Education, 118(4), 489–519. https://doi.org/10.1086/666380
  25. Holmes, L. y Schumacker, R. (2020). Latent class analysis of teacher characteristics: can we identify effective teachers? Measurement: Interdisciplinary Research and Perspectives, 18(2), 75–86. https://doi.org/10.1080/15366367.2019.1657350
  26. Kaur, B. (2009). Characteristics of good mathematics teaching in Singapore grade 8 classrooms: a juxtaposition of teachers’ practice and students’ perception. ZDM, Mathematics Education, 41(3), 333–347. https://doi.org/10.1007/s11858-009-0170-z
  27. Klassen, R. M., Tze V. M. C., Betts, S. M. y Gordon, K. A. (2011). Teacher efficacy research 1998-2009: signs of progress or unfulfilled promise? Educational Psychology Review, 23(1), 21–43. https://doi.org/10.1007/s10648-010-9141-8
  28. Krainer, K. (2005). What is “Good” mathematics teaching, and how can research inform practice and policy? Journal of Mathematics Teacher Education, 8(2), 75–81. https://doi.org/10.1007/s10857-005-4766-0
  29. Kyriakides, L. y Creemers, B. P. M. (2008) Using a multidimensional approach to measure the impact of classroom level factors upon student achievement: a study testing the validity of the dynamic model. School Effectiveness and School Improvement, 19(2), 183–306. https://doi.org/10.1080/09243450802047873
  30. Kyriakides, L., Creemers, B. P. M. y Antoniou, P. (2009). Teacher behaviour and student outcomes: suggestions for research on teacher training and professional development. Teaching and Teacher Education, 25(1), 12–23. https://doi.org/10.1016/j.tate.2008.06.001
  31. Kyriakides, L., Creemers, B. P. M., Antoniou, P. y Demetriou, D. (2010). A synthesis of studies searching for school factors: implications for theory and research. British Educational Research Journal, 36(5), 807–830. https://doi.org/10.1080/01411920903165603
  32. Ko, J., Sammons, P. y Bakkum, L. (2014). Effective teaching. Education Development Trust. https://www.educationdevelopmenttrust.com/our-research-and-insights/research/effectiveteaching
  33. Koopman, M., Thurlings, M. y den Brok, P. (2019). Factors influencing students’ proficiency development in the fraction domain: the role of teacher cognitions and behaviour. Research Papers in Education, 34(1), 14–37. https://doi.org/10.1080/02671522.2017.1390595
  34. Liberati, A., Altman, D. G., Tetzlaff, J., Mulrow, C., Gøtzsche, P. C., Ioannidis, J. P. A., Clarke, M., Devereaux, P. J., Kleijnen, J. y Moher, D. (2009). The PRISMA statement for reporting systematic reviews and meta-analyses of studies that evaluate healthcare interventions: explanation and elaboration. BMJ, 339. https://doi.org/10.1136/bmj.b2700
  35. Lim, C. S. (2007). Characteristics of mathematics teaching in Shanghai, China: through the lens of a Malaysian. Mathematics Education Research Journal, 19(1), 77–88. https://doi.org/10.1007/BF03217450
  36. Lima Díaz, I. (2017). Perspectivas del conocimiento especializado del profesor de matemáticas como elemento de su desarrollo profesional. Tecné, Episteme Y Didaxis: TED, (42), 175–191. https://doi.org/10.17227/01203916.6970
  37. Liñán, M. M., Contreras, L. C. y Barrera, V. J. (2016). Conocimiento de los Temas (KoT). En J. Carrillo, L. C. Contreras y M. Montes (Eds.), Reflexionando sobre el conocimiento del profesor. Actas de las II Jornadas del Seminario de Investigación de Didáctica de la Matemática de la Universidad de Huelva (pp. 12–20). Universidad de Huelva.
  38. Llinares, S., Breda, A., Climent, N., Fernández, C., Font, V., Lupiáñez, J. L., Moreno, M., Pérez- Tyteca, P., Ruiz-Hidalgo, J. F., y Sánchez, A. (2022). Formación y desarrollo profesional del profesorado de matemáticas. En L. J. Blanco Nieto, N. Climent Rodríguez, M. T. González Astudillo, A. Moreno Verdejo, G. Sánchez-Matamoros García, C. De Castro Hernández y C. Jiménez Gestal (Eds.), Aportaciones al desarrollo del currículo desde la investigación en Educación Matemática (pp. 480–530). Universidad de Granada.
  39. Lockwood, J. R., Savitsky, T. D. y McCaffrey, D. F. (2015). Inferring constructs of effective teaching from classroom observations: an application of bayesian exploratory factor analysis without restrictions. The Annals of Applied Statistics, 9(3), 1484–1509. https://doi.org/10.1214/15-AOAS833
  40. Loewenberg Ball, D., Thames, M. H. y Phelps, G. (2008). Content knowledge for teaching: what makes it special? Journal of Teacher Education, 59(5), 389–407. https://doi.org/10.1177/0022487108324554
  41. López-Lujan, E. (2018). Dimensiones para evaluar una buena práctica educativa: el cuestionario sobre competencias del profesorado (CCPES II). Edetania. Estudios y Propuestas Socioeducativos, 54, 53–71. https://revistas.ucv.es/index.php/Edetania/article/view/428
  42. Maamin, M., Maat, S. M. y Ikhsan, Z. (2020). A systematic review of teacher factors and mathematics achievement. Universal Journal of Educational Research, 8(3), 998–1006. https://doi.org/10.13189/ujer.2020.080334
  43. Martínez-Garrido, C. (2011). 25 investigaciones clave en eficacia escolar. Profesorado, Revista de Currículum y Formación de Profesorado, 15(3), 149–174. https://revistaseug.ugr.es/index.php/profesorado/article/view/20418
  44. Martínez-Garrido, C. (2015). Investigación sobre Enseñanza Eficaz. Un estudio multinivel para Iberoamérica [Tesis de Doctorado, Universidad Autónoma de Madrid]. Repositorio institucional - Universidad Autónoma de Madrid.
  45. Martínez-Garrido, C. y Murillo, F. J. (2016). Investigación sobre enseñanza eficaz. Revista Mexicana de Investigación Educativa, 21(69), 471–499. http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1405-66662016000200471&lng=es&tlng=
  46. Martínez-Sierra, G. (2014). Good mathematics teaching from Mexican high school students’ perspective. International Journal of Science and Mathematics Education, 12(6), 1547–1573. https://doi.org/10.1007/s10763-013-9480-2
  47. Miao, Z., Reynolds, D., Harris, A. y Jones, M. (2015). Comparing performance: a crossnational investigation into the teaching of mathematics in primary classrooms in England and China. Asia Pacific Journal of Education, 35(3), 392–403. https://doi.org/10.1080/02188791.2015.1056593
  48. Muijs, D., Kyriakides, L., Van der Werf, G., Creemers, B., Timperley, H. y Earl, L. (2014) State of the art - teacher effectiveness and professional learning. School Effectiveness and School Improvement, 25(2), 231–256. https://doi.org/10.1080/09243453.2014.885451
  49. Murillo, F. J. y Martínez-Garrido, C. (2018). Factores de aula asociados al desarrollo integral de los estudiantes: Un estudio observacional. Estudios Pedagógicos, 44(1), 181–205. https://doi.org/10.4067/S0718-07052018000100181
  50. Murillo Torrecilla, F. J., Martínez Garrido, C. A., y Hernández Castilla, R. (2011). Decálogo para una Enseñanza Eficaz. REICE. Revista Iberoamericana sobre Calidad, Eficacia y Cambio en Educación, 9(1), 6–27. https://doi.org/10.15366/reice2011.9.1.001
  51. Ngoepe, M. G. (2014). An examination of some instructional practices in selected rural secondary schools. Mediterranean Journal of Social Sciences, 5(9), 464–469. https://doi.org/10.5901/mjss.2014.v5n9p464
  52. Opdenakker, M.-C. y Van Damme, J. (2006). Teacher characteristics and teaching styles as effectiveness enhancing factors of classroom practice. Teaching & Teacher Education: An International Journal of Research and Studies, 22(1), 1–21. https://doi.org/10.1016/j.tate.2005.07.008
  53. Ottmar, E. R., Rimm-Kaufman, S. E., Larsen, R. y Berry, R. Q. (2015). Mathematical knowledge for teaching, standards-based mathematics teaching practices, and student schievement in the context of the responsive classroom approach. American Educational Research Journal, 52(4), 787–821. https://doi.org/10.3102/0002831215579484
  54. Pang, J. (2009). Good mathematics instruction in South Korea. ZDM, Mathematics Education 41, 349–362. https://doi.org/10.1007/s11858-009-0169-5
  55. Papanastasiou, C. (2008). A residual analysis of effective schools and effective teaching in mathematics. Studies in Educational Evaluation, 34(1), 24–30. https://doi.org/10.1016/j.stueduc.2008.01.005
  56. Perry, B. (2007). Australian teachers’ views of effective mathematics teaching and learning. ZDM, Mathematics Education 39, 271–286. https://doi.org/10.1007/s11858-007-0032-5
  57. Posner, C. M. (2004). Enseñanza efectiva. Una revisión de la bibliografía más reciente en los países europeos y anglosajones. Revista Mexicana de Investigación Educativa, 9(21), 277–318. https://dialnet.unirioja.es/servlet/articulo?codigo=1005603
  58. Reynolds, D. y Muijs, D. (1999) The effective teaching of mathematics: a review of research, School Leadership & Management, 19(3), 273–288. https://www.tandfonline.com/doi/abs/10.1080/13632439969032
  59. Sanz Ponce, R. y López Luján, E. (2013). La gestión del aula. En A. Argente Sanz, L. Ballester Pont, E. Llorca Valmaña, E. López Luján, V. Marchante Villanueva, J. M. Mula Benavent, J. Nando Rosales, R. Sanz Ponce y M. Vilata Tamarit (Eds.), Docencia y práctica educativa. La estilística en la educación (pp. 85–124). Boreal.
  60. Scheerens, J. y Creemers, B. P. M. (1989). Towards a more comprehensive conceptualization of school effectiveness. En B. P. M. Creemers, T. Peters y D. Reynolds (Eds.), School effectiveness and school improvement (pp. 265–278). Routledge. https://doi.org/10.1201/9780203740156
  61. Schumacher, G., Grigsby, B. y Vesey, W. (2015). Determining effective teaching behaviors through the hiring process. International Journal of Educational Management, 29(1), 139–155. https://doi.org/10.1108/IJEM-04-2013-0071
  62. Sonnert, G., Sadler, P. M., Sadler, S. M. y Bressoud, D. M. (2015). The impact of instructor pedagogy on college calculus students’ attitude toward mathematics. International Journal of Mathematical Education in Science and Technology, 46(3), 370–387. https://doi.org/10.1080/0020739X.2014.979898
  63. Teodorović, J. (2011). Classroom and school factors related to student achievement: what works for students? School Effectiveness & School Improvement, 22(2), 215–236. https://doi.org/10.1080/09243453.2011.575650
  64. Todd, E. (2005). The influence of teachers’ efficacy and beliefs regarding mathematics instruction in the early childhood classroom. Journal of Early Childhood Teacher Education, 26(3), 239–257. https://doi.org/10.1080/10901020500369811
  65. Valenčič-Zuljan, M. (2016). Pupil’s assessment of teaching and of him/herself as learner – relevant items in the teacher’s creation of effective learning environment. Croatian Journal of Education, 18, 213–230. https://doi.org/10.15516/cje.v18i0.2219
  66. Van de Grift, W. (2007). Quality of teaching in four European countries: a review of the literature and application of an assessment instrument. Educational Research, 49(2), 127–152. https://doi.org/10.1080/00131880701369651
  67. Vanlaar, G., Kyriakides, L., Panayiotou, A., Vandecandelaere, M., McMahon, L., De Fraine, B. y Van Damme, J. (2016). Do the teacher and school factors of the dynamic model affect highand low-achieving student groups to the same extent? a cross-country study. Research Papers in Education, 31(2), 183–211. https://doi.org/10.1080/02671522.2015.1027724
  68. Vasco Mora, D. y Moriel Junior, J. (2022). Conocimiento de los temas. En J. Carrillo Yáñez, M. A. Montes Navarro y N. Climent Rodríguez (Eds.) Investigación sobre conocimiento especializado del profesor de matemáticas (MTSK): 10 años de camino. (pp. 35–46). Dykinson. https://doi.org/10.14679/1452
  69. Vélez, E., Schiefelbein, E. y Valenzuela, J. (1994). Factores que afectan el rendimiento académico en la educación primaria. Revisión de la literatura de América Latina y el Caribe. Revista Latinoamericana de Innovaciones Educativas, 17, 29–53. https://hdl.handle.net/20.500.12799/4317
  70. Wang, T. y Cai, J. (2007a). Chinese (Mainland) teachers’ views of effective mathematics teaching and learning. ZDM Mathematics Education 39, 287–300. https://doi.org/10.1007/s11858-007-0030-7
  71. Wang, T. y Cai, J. (2007b). United States teachers’ views of effective mathematics teaching and learning. ZDM, Mathematics Education 39, 315–327. https://doi.org/10.1007/s11858-007-0031-6
  72. Wang, T.-Y. y Hsieh, F.-J. (2017). Taiwanese high school students’ perspectives on effective mathematics teaching behaviors. Studies in Educational Evaluation, 55, 35–45. https://doi.org/10.1016/j.stueduc.2017.06.001
  73. Wayne, A. J. y Youngs, P. (2003). Teacher characteristics and student achievement gains: a review. Review of Educational Research, 73(1), 89–122. https://doi.org/10.3102/00346543073001089
  74. Wong, N. (2007). Hong Kong teachers’ views of effective mathematics teaching and learning. ZDM, Mathematics Education 39, 301–314. https://doi.org/10.1007/s11858-007-0033-4

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