Tendencias sobre el conocimiento profesional de los profesores de geometría, en la educación básica y media: una revisión sistemática de la literatura
Resumen
En este artículo, presentamos una revisión sistemática descriptiva de la literatura sobre el conocimiento del profesor de geometría en los niveles de educación básica (6-14 años) y media (15-18 años), que se encuentran publicados en revistas de investigación académica-científica. Esta revisión reúne la información de los artículos publicados entre los años 2012 y 2022. La búsqueda sistemática descrita con detalle permitió la selección de cuarenta estudios, en los que se identifican tendencias sobre los tipos de participantes, contenido geométrico tratado, modelo del conocimiento del profesor utilizado y nivel de enseñanza al que se refieren. Asimismo, se presentan los resultados más relevantes de nueve estudios (de los cuarenta) con profesores en servicio. Los resultados indican que hay un predominio de los trabajos con profesores en formación inicial. En cuanto al contenido geométrico, predomina el estudio de objetos bidimensionales básicos; además, en lo relativo al nivel educativo destaca el de educación primaria. Se identificó también que el modelo más utilizado es el Conocimiento Matemático para la Enseñanza (Mathematical Knowledge for Teaching). Sobre el desarrollo del conocimiento profesional, según los resultados de los estudios realizados con profesores en servicio, se encuentra que tienden a subrayar la necesidad de mejorar su formación profesional en el contenido sobre geometría y en su didáctica.
Citas
Adelabu F. M. y Alex J. K. (2022). Mathematical Knowledge for Teaching in Further Education and Training Phase: Evidence from Entry Level Student Teachers Baseline Assessments. International Journal of Learning, Teaching and Educational Research, 21(8), 1-20. https://doi.org/10.26803/ijlter.21.8.1 DOI: https://doi.org/10.26803/ijlter.21.8.1
Aparicio-Landa, E., Sosa-Moguel, L. y Cabanas-Sanchez, G. (2021). Reflective conversation and knowledge development in pre-service teachers: The case of mathematical generalization. International Journal of Education in Mathematics, Science, and Technology, 9(1), 40-62. https://doi.org/10.46328/ijemst.977 DOI: https://doi.org/10.46328/ijemst.977
Aslan-Tutak, F. y Adams, T. L. (2015). A study of geometry content knowledge of elementary preservice teachers. International Electronic Journal of Elementary Education, 7(3), 301-318. https://www.iejee.com/index.php/IEJEE/article/view/82
Ball, D. L. (2000). Bridging practices: Intertwining content and pedagogy in teaching and learning to teach. Journal of Teacher Education, 51(3), 241-247. https://doi.org/10.1177/0022487100051003013 DOI: https://doi.org/10.1177/0022487100051003013
Ball, D. L., Lubienski, S. T. y Mewborn, D. S. (2001). Research on teaching mathematics: The unsolved problem of teachers’ mathematical knowledge. En: V. Richardson (Ed.), Handbook of research on teaching (cuarta edición), (pp. 433-456). Macmillan.
Bonyah, E. y Larbi, E. (2021). Assessing van Hiele’s geometric thinking levels among elementary pre-service mathematics teachers. African Educational Research Journal, 9(4), 844-851. https://doi.org/10.30918/AERJ.94.21.119 DOI: https://doi.org/10.30918/AERJ.94.21.119
Carrillo, J., Climent, N., Contreras, L. C. y Muñoz-Catalán, M. D. C. (2013). Determining specialised knowledge for mathematics teaching. En: B. Ubuz, Ç. Haser y M. A. Mariotti (Eds.), Proceedings of the Cerme 8, (pp. 2985-2994). ERME.
Castro, W. F., Durango-Urrego, J. H. y Pino-Fan, L. R. (2021). Preservice Teachers’ Argumentation and Some Relationships to Didactic-Mathematical Knowledge Features. Eurasia Journal of Mathematics, Science and Technology Education, 17(9), 1-20. https://doi.org/10.29333/ejmste/11139 DOI: https://doi.org/10.29333/ejmste/11139
Clemente, F. y Llinares, S. (2015). Formas del discurso y razonamiento configural de estudiantes para maestros en la resolución de problemas de geometría. Enseñanza de las Ciencias, 33(1), 9-27. https://raco.cat/index.php/Ensenanza/article/view/288569 DOI: https://doi.org/10.5565/rev/ensciencias.1332
Climent, N. (2002). El desarrollo profesional del maestro de primaria respecto de la enseñanza de la matemática: un estudio de caso [tesis de doctorado]. Universidad de Huelva. Arias Montano Repositorio Institucional de la Universidad de Huelva. http://hdl.handle.net/10272/2742
Creswell, J. (2014). Research Design: Qualitative, Quantitative, and Mixed Methods Approaches. SAGE Publications.
Dündar, S. y Gündüz, N. (2017). Justification for the Subject of Congruence and Similarity in the Context of Daily Life and Conceptual Knowledge. Journal on Mathematics Education, 8(1), 35-54. http://dx.doi.org/10.22342/jme.8.1.3256.35-54 DOI: https://doi.org/10.22342/jme.8.1.3256.35-54
Ekawati, R. M., Rosyidi, A. H., Prawoto, B. P., Prahmana, R. C. I. y Lin, F. L. (2022). Developing a Constructive Conceptual Framework of a Pre-Service Mathematics Teachers’ Content Knowledge Instrument on Space and Shape. Mathematics 2022, 10(1), 1-15. https://doi.org/10.3390/math10010137 DOI: https://doi.org/10.3390/math10010137
Eli, J. A., Mohr-Schroeder, M. J. y Lee, C. W. (2013). Mathematical Connections and Their Relationship to Mathematics Knowledge for Teaching Geometry. School Science and Mathematics, 113(3), 120-134. https://doi.org/10.1111/ssm.12009 DOI: https://doi.org/10.1111/ssm.12009
Erkek, Ö. y Isiksal-Bostan, M. (2019). A Different Look at the Reasoning Process of Prospective Middle School Mathematics Teachers: Global Argumentation Structures. Education and Science, 44(199), 1-27. http://dx.doi.org/10.15390/EB.2019.7867 DOI: https://doi.org/10.15390/EB.2019.7867
Esendemir, O. y Bindak, R. (2019). Adaptation of the test developed to measure Mathematical knowledge of teaching Geometry in Turkey. International Journal of Educational Methodology, 5(4), 547-565. https://doi.org/10.12973/ijem.5.4.547 DOI: https://doi.org/10.12973/ijem.5.4.547
Fernandes-Maia-Pereira, S. y Kaiber, C. T. (2022). Didactic-Mathematical Knowledge and Teacher Education: An Investigation with Pre-Service and In-Service Mathematics Teachers. Acta Scientiae, 24(6), 606-633. https://doi.org/10.17648/acta.scientiae.6243 DOI: https://doi.org/10.17648/acta.scientiae.6243
Florio, E. (2022). The Parabola: Section of a Cone or Locus of Points of a Plane? Tips for Teaching of Geometry from Some Writings by Mydorge and Wallis. Mathematics 10(6), 1-18. https://doi.org/10.3390/math10060974 DOI: https://doi.org/10.3390/math10060974
Gambini, A. y Lénárt, I. (2021). Basic Geometric Concepts in the Thinking of In-Service and Pre-Service Mathematics Teachers. Education Sciences, 11(7), 1-12. https://doi.org/10.3390/educsci11070350 DOI: https://doi.org/10.3390/educsci11070350
Godino, J. D. (2009). Categorías de análisis de los conocimientos del profesor de matemáticas. Unión, Revista Iberoamericana de Educación Matemática, 20, 13-31. http://hdl.handle.net/20.500.12799/3098
Godino, J. D., Giacomone, B., Batanero, C. y Font, V. (2017). Enfoque ontosemiótico de los conocimientos y competencias del profesor de matemáticas. Bolema: Boletim de Educação Matemática, 31(57), 90-113. https://doi.org/10.1590/1980-4415v31n57a05 DOI: https://doi.org/10.1590/1980-4415v31n57a05
Grossman, P. L. (1990). The making of a teacher: teacher knowledge and teacher education. Teachers College Press Columbia University.
Gumiero, B. S. y Pazuch, V. (2021). Teachers Knowledge Mobilized in Geometry Lessons and Contingency Situations. International Electronic Journal of Mathematics Education, 16(1), 2-14. https://doi.org/10.29333/iejme/9371 DOI: https://doi.org/10.29333/iejme/9371
Hill, H. C., Ball, D. L. y Schilling, S. G. (2008). Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers’ topic-specific knowledge of students. Journal for Research in Mathematics Education, 39(4), 372-400. https://doi.org/10.5951/jresematheduc.39.4.0372 DOI: https://doi.org/10.5951/jresematheduc.39.4.0372
Hourigan, M. y Leavy, A. (2017). Preservice Primary Teachers' Geometric Thinking: Is Pre-Tertiary Mathematics Education Building Sufficiently Strong Foundations? The Teacher Educator, 52(4), 346-364. https://doi.org/10.1080/08878730.2017.1349226 DOI: https://doi.org/10.1080/08878730.2017.1349226
Huang, C., Yang, C., Wang, S., Wu, W., Su, J. y Liang, C. (2020) Evolution of topics in education research: a systematic review using bibliometric analysis. Educational Review, 72(3), 281-297. https://doi.org/10.1080/00131911.2019.1566212 DOI: https://doi.org/10.1080/00131911.2019.1566212
İlhan, A. y Aslaner, R. (2021). Analysis of the Correlations Between Visual Mathematics Literacy Perceptions, Reasoning Skills on Geometric Shapes and Geometry Performances of Pre-Service Mathematics Teachers. Participatory Educational Research, 8(1), 90-108. https://doi.org/10.17275/per.21.5.8.1 DOI: https://doi.org/10.17275/per.21.5.8.1
Karagöz-Akar, G. (2015). Prospective Secondary Mathematics Teachers’ Perspectives and Mathematical Knowledge for Teaching. Eurasia Journal of Mathematics, Science & Technology Education, 12(1), 3-24. https://doi.org/10.12973/eurasia.2015.1378a DOI: https://doi.org/10.12973/eurasia.2015.1378a
Kurt-Birel, G., Deniz, S. y Önel, F. (2020). Analysis of Primary School Teachers' Knowledge of Geometry. International Electronic Journal of Elementary Education, 12(4), 303-309. https://doi.org/10.26822/iejee.2020459459 DOI: https://doi.org/10.26822/iejee.2020459459
Leton, S. I., Djong, K. D., Uskono, I. V., Dosinaeng, W. B. N. y Lakapu, M. (2020). Profile of elementary school teacher in concept understanding of geometry. Infinity, 9(2), 133-146. https://doi.org/10.22460/infinity.v9i2.p133-146 DOI: https://doi.org/10.22460/infinity.v9i2.p133-146
Liñán-García, M., Muñoz-Catalán, M., Contreras, L. y Barrera-Castarnado, V. (2021). Specialised Knowledge for Teaching Geometry in a Primary Education Class: Analysis from the Knowledge Mobilized by a Teacher and the Knowledge Evoked in the Researcher. Mathematics 9(21),1-18. https://doi.org/10.3390/math9212805 DOI: https://doi.org/10.3390/math9212805
Martín-Martín, A., Orduna-Malea, E., Thelwall, M. y López-Cózar, E. D. (2018). Google Scholar, Web of Science, and Scopus: A systematic comparison of citations in 252 subject categories. Journal of informetrics, 12(4), 1160-1177. https://doi.org/10.1016/j.joi.2018.09.002 DOI: https://doi.org/10.1016/j.joi.2018.09.002
Ministerio de Educación Nacional (MEN). (2006). Estándares básicos de competencias matemáticas. En: MEN (Ed.), Estándares básicos de competencias en Lenguaje, Matemáticas, Ciencias y Ciudadanas (pp. 46-95). MEN.
Moher, D., Liberati, A., Tetzlaff, J. y Altman, D.G. (2009). Preferred reporting items for systematic reviews and meta-analyses: The Prisma statement. BMJ, 339, b2535. https://doi.org/10.1136/bmj.b2535 DOI: https://doi.org/10.1136/bmj.b2535
Montes, M., Climent, N. y Contreras, L.C. (2022). Construyendo conocimiento especializado en geometría: un experimento de enseñanza en formación inicial de maestros. Aula Abierta, 51(1), 27-36. https://doi.org/10.17811/rifie.51.1.2022.27-36 DOI: https://doi.org/10.17811/rifie.51.1.2022.27-36
Morales-López, Y. (2019). Knowledge evidenced by prospective mathematics teachers when performing a task involving geometry, teaching and the use of technology. Acta Scientiae, 21(2), 75-92. https://doi.org/10.17648/acta.scientiae.v21iss2id5081 DOI: https://doi.org/10.17648/acta.scientiae.v21iss2id5081
Nason, R., Chalmers, C. y Yeh, A. (2012). Facilitating growth in prospective teachers’ knowledge: teaching geometry in primary schools. Journal of Mathematics Teacher Education, 15, 227-249. https://doi.org/10.1007/s10857-012-9209-0 DOI: https://doi.org/10.1007/s10857-012-9209-0
Newman, M. y Gough, D. (2020). Systematic reviews in educational research: Methodology, perspectives and application. En: O. Zawacki-Richter, M. Kerres, S. Bedenlier, M. Bond y K. Buntins (Eds.), Systematic reviews in educational research: Methodology, perspectives and application (pp. 3-22). Springer. https://doi.org/10.1007/978-3-658-27602-7_1 DOI: https://doi.org/10.1007/978-3-658-27602-7_1
Ng, D. (2012). Using the MKT measures to reveal Indonesian teachers’ mathematical knowledge: challenges and potentials. ZDM Mathematics Education, 44, 401-413. https://doi.org/10.1007/s11858-011-0375-9 DOI: https://doi.org/10.1007/s11858-011-0375-9
Niyukuri, F., Nzotungicimpaye, J. y Ntahomvukiye, C. (2020). Pre-Service Teachers’ Secondary School Experiences in Learning Geometry and their Confidence to Teach It. Eurasia Journal of Mathematics, Science and Technology Education, 16(8), 1-12. https://doi.org/10.29333/ejmste/8334 DOI: https://doi.org/10.29333/ejmste/8334
Özdemir, F. (2022). Examining Pre-Service Teachers' Views on Reasoning, Developing Reasoning and Importance of Reasoning Skills in Geometry. Acta Didactica Napocensia, 15(2), 1-12. https://doi.org/10.24193/adn.15.2.1+H24 DOI: https://doi.org/10.24193/adn.15.2.1
Özçakir, B. (2019). Prospective Mathematics Teachers’ Technology Usages: A Case for Dynamic Geometry Software. Acta Didactica Napocensia, 12(1), 1-15. https://doi.org/10.24193/adn.12.1.1 DOI: https://doi.org/10.24193/adn.12.1.1
Paré, G., Trudel, M. C., Jaana, M. y Kitsiou, S. (2015). Synthesizing information systems knowledge: A typology of literature reviews. Information & management, 52(2), 183-199. https://doi.org/10.1016/j.im.2014.08.008 DOI: https://doi.org/10.1016/j.im.2014.08.008
Pino-Fan, L. R. y Godino, J. D. (2015). Perspectiva ampliada del conocimiento didáctico-matemático del profesor. Paradigma, 36(1), 87-109.
Ponte, J. P. y Chapman, O. (2006). Mathematics teachers’ knowledge and practices. En: A. Gutiérrez y P. Boero (Eds), Handbook of Research on the Psychology of Mathematics Education: Past, present and future, (pp. 461-494). Sense Publishers. https://doi.org/10.1163/9789087901127_017 DOI: https://doi.org/10.1163/9789087901127_017
Quintero T., Jamer J., Jaña M., Esteban, C. y Rivera, P.J. (2018). Tendencias de investigación en formación permanente de profesores: estado del arte e interpretación de actores clave. Actualidades Investigativas en Educación, 18(2), 353-382. https://dx.doi.org/10.15517/aie.v18i2.33174 DOI: https://doi.org/10.15517/aie.v18i2.33174
Robbins, J.B. (2001). ERIC: Mission, structure, and resources. Government Information Quarterly, 18(1), 5-17. https://doi.org/10.1016/S0740-624X(00)00062-9 DOI: https://doi.org/10.1016/S0740-624X(00)00062-9
Rowland, T., Huckstep, P. y Thwaites, A. (2005). Elementary Teachers’ Mathematics Subject Knowledge: the Knowledge Quartet and the Case of Naomi. Journal of Mathematics Teacher Education, 8, 255-281. https://doi.org/10.1007/s10857-005-0853-5 DOI: https://doi.org/10.1007/s10857-005-0853-5
Saralar-Aras, İ. y Birgili, B. (2022). An assessment of pre-service mathematics teachers’ techno-pedagogical content knowledge regarding geometry. International Journal of Psychology and Educational Studies, 9(4), 1307-1327. https://dx.doi.org/10.52380/ijpes.2022.9.4.920 DOI: https://doi.org/10.52380/ijpes.2022.9.4.920
Segal, R., Oxman, V. y Stupel, M. (2021). Using Dynamic Geometry Software to Enhance Specialized Content Knowledge: Pre-Service Mathematics Teachers’ Perceptions. International Electronic Journal of Mathematics Education, 16(3), 1-8. https://doi.org/10.29333/iejme/11065 DOI: https://doi.org/10.29333/iejme/11065
Scheiner, T., Montes, M. A., Godino, J. D. Carrillo, J. y Pino-Fan, L. R. (2019). What Makes Mathematics Teacher Knowledge Specialized? Offering Alternative Views. International Journal of Science and Mathematics Education, 17, 153-172 (2019). https://doi.org/10.1007/s10763-017-9859-6 DOI: https://doi.org/10.1007/s10763-017-9859-6
Schoenfeld, A. H. y Kilpatrick, J. (2008). Toward a theory of proficiency in teaching mathematics. En: T. Wood y D. Tirosh, (ed.), International handbook of mathematics teacher education, (pp. 321-354). Sense Publishers. DOI: https://doi.org/10.1163/9789087905460_016
Shulman, L.S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14. https://doi.org/10.3102/0013189X015002004 DOI: https://doi.org/10.3102/0013189X015002004
Smith, C. R., Julie, C. y Gierdien, F. (2020). The integration of semiotic resources and modalities in the teaching of geometry in a Grade 9 class in a South African high school: The four cases of congruency. South African Journal of Education, 40(2),1-12. https://doi.org/10.15700/saje.v40n2a1682 DOI: https://doi.org/10.15700/saje.v40n2a1682
Stupel, M. y Ben-Chaim, D. (2017). Using multiple solutions to mathematical problems to develop pedagogical and mathematical thinking: A case study in a teacher education program. Investigations in Mathematics Learning, 9(2), 86-108. https://doi.org/10.1080/19477503.2017.1283179 DOI: https://doi.org/10.1080/19477503.2017.1283179
Sunzuma, G. y Maharaj, A. (2019). In-service teachers’ geometry content knowledge: Implications for how geometry is taught in teacher training institutions. International Electronic Journal of Mathematics Education, 14(3), 633-646. DOI: https://doi.org/10.29333/iejme/5776
Sunzuma, G., Chando, C., Gwizangwe, I., Zezekwa, N. y Zinyeka, G. (2020). In-Service Zimbabwean Teachers' Views on the Utility Value of Diagrams in the Teaching and Learning of Geometry. Lumat: International Journal on Math, Science and Technology Education, 8(1), 1-18. https://journals.helsinki.fi/lumat/article/view/1316/1334 DOI: https://doi.org/10.31129/LUMAT.8.1.1316
Tefera, A., Atnafu, M. y Michael, K. (2021). The Relevance of Current Ethiopian Primary School Teacher Education Program for Pre-Service Mathematics Teacher’s Knowledge and Teacher Educator’s Awareness about Mathematics Knowledge for Teaching. Eurasia Journal of Mathematics, Science and Technology Education, 17(5), 1-17. https://eric.ed.gov/?id=EJ1296862 DOI: https://doi.org/10.29333/ejmste/10858
Tertemiz, N. (2012). The effects of project- and activity-supported practices on mathematics education achievement and student views. Eurasian Journal of Educational Research, 46, 159-178.
Ubah, I. (2021). Pre-service mathematics teachers’ semiotic transformation of similar triangles: Euclidean geometry. International Journal of Mathematical Education in Science and Technology, 53(8), 2004-2025. https://doi.org/10.1080/0020739X.2020.1857858 DOI: https://doi.org/10.1080/0020739X.2020.1857858
Vieira, A. F. M. y de Costa-Trindade-Cyrino, M. C. (2022). Geometric Thinking: Reflections Manifested by Preservice Mathematics Teachers in van Hiele Model Studies, Acta Scientiae, 24(8), 286-314. https://doi.org/10.17648/acta.scientiae.7164 DOI: https://doi.org/10.17648/acta.scientiae.7164
Vodušek, H. B. y Lipovec, A. (2014). The square as a figural concept. Waikato Journal of Education, 28(48), 430-448. https://doi.org/10.1590/1980-4415v28n48a21 DOI: https://doi.org/10.1590/1980-4415v28n48a21
Yi, M., Wang, J., Flores, R. y Lee, J. (2022). Measuring pre-service elementary teachers’ geometry knowledge for teaching 2-dimensional shapes. Eurasia Journal of Mathematics, Science and Technology Education, 18(8), 1-15. https://eric.ed.gov/?id=EJ1356755 DOI: https://doi.org/10.29333/ejmste/12220
Zambak, V. y Tyminski, A. (2020). Examining mathematical technological knowledge of pre-service middle grades teachers with Geometer’s Sketchpad in a geometry course. International Journal of Mathematical Education in Science and Technology, 51(2), 183-207. https://doi.org/10.1080/0020739X.2019.1650302 DOI: https://doi.org/10.1080/0020739X.2019.1650302
Zhu, J. y Liu, W. (2020). A tale of two databases: the use of Web of Science and Scopus in academic papers. Scientometrics, 123, 321-335. https://doi.org/10.1007/s11192-020-03387-8 DOI: https://doi.org/10.1007/s11192-020-03387-8
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