Assessing Preservice Teachers’ Digital Creativity in Mathematics
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Abstract
In this research, we study and characterize digital creativity as part of the development of digital competence in the initial training of secondary school teachers. The aim of this research is to assess preservice teachers’ digital creativity, identifying several levels of achievement. A rubric is presented as a result of theoretical studies, and with this rubric we analyze the levels achieved by a group of preservice teachers of the Master's program in Teacher Training of Mathematics in Spain. In particular, we analyze 40 master’s final projects where participants reflect on their own teaching practice. Based on this analysis, we present evidence of four levels of development considering each of the dimensions proposed in the tool. Most of the participants achieved the second or third level and we find difficulties in reaching the highest level. We recognize that one of the variables that influence this is the little time devoted to the evaluation of one's own experience in the Practicum and we describe other possible causes.
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Aldon, G. (2010). Handheld calculators between instrument and document. ZDM – Mathematics Education, 42(7), 733–745. https://doi.org/10.1007/s11858-010-0275-4
Google Scholar CrossrefArtigue, M. (2009). The future of teaching and learning mathematics with digital technologies. En C. Hoyles & J. B. Lagrange (Eds.), Mathematics Education and Technology-Rethinking the Terrain (pp. 463–475). Springer. https://doi.org/10.1007/978-1-4419-0146-0_23
Google Scholar CrossrefBartolini Bussi, M. G., Chiappini, G., Paola, D., Reggiani, M., & Robutti, O. (2004). Teaching and learning mathematics with tools. En L. Cannizzaro, A. Pesci, & O. Robutti (Eds.), Research and teacher training in mathematics education in Italy (pp. 138–169). UMI.
Google Scholar CrossrefBrown, L., & Reid, D. A. (2006). Embodied cognition: Somatic markers, purposes and emotional orientations. Educational Studies in Mathematics, 63(2), 179–192. https://doi.org/10.1007/s10649-006-9027-3
Google Scholar CrossrefCarvajal, S. (2018). Competencia digital en la formación del profesorado en matemáticas [Tesis doctoral, Universitat de Barcelona]. Dipòsit Digital de la Universitat de Barcelona. http://hdl.handle.net/2445/144258
Google Scholar CrossrefCarvajal, S., Font, V., & Giménez, J. (2017). Caracterización de la competencia digital en la formación de futuros profesores de secundaria a través del análisis sobre su propia práctica. En H. Ramos & S. Nieto (Eds.), Actas del VIII Congreso Iberoamericano de Educación Matemática (pp. 94–107). Federación Española de Sociedades de Profesores de Matemáticas.
Google Scholar CrossrefCarvalho, M. C. P. (2012). A prática do professor de anos iniciais no ensino da matemática e a utilização de recursos tecnológicos [Tesis de máster, Universidade Bandeirante de São Paulo]. Cogna Educação. https://repositorio.pgsscogna.com.br//handle/123456789/3601
Google Scholar CrossrefChamberlin, S. A., & Moon, S. M. (2005). Model-eliciting activities as a tool to develop and identify creatively gifted mathematicians. The Journal of Secondary Gifted Education, 17(1), 37–47. https://doi.org/10.4219/jsge-2005-393
Google Scholar CrossrefChristou, C., Mousoulides, N., Pittalis, M., & Pita-Pantazi, D. (2005). Problem solving and problem posing in a dynamic geometry environment. The Mathematics Enthusiast, 2(2), 125–143. https://doi.org/10.54870/1551-3440.1029
Google Scholar CrossrefDe Simone, M. (2015). Rationality in mathematics teaching: The emergence of emotions in decision-making. [Tesis doctoral, Universitá di Torino]. IRIS. https://hdl.handle.net/2318/1509078
Google Scholar CrossrefDrijvers P. (2015). Digital technology in mathematics education: Why it works (or doesn’t). En S. Cho (Ed.), Selected Regular Lectures from the 12th International Congress on Mathematical Education. Springer. https://doi.org/10.1007/978-3-319-17187-6_8
Google Scholar CrossrefEuropean Commission, Directorate-General for Education, Youth, Sport and Culture (2019). Key competences for lifelong learning. Publications Office. https://data.europa.eu/doi/10.2766/569540
Google Scholar CrossrefFalloon, G. (2020). From digital literacy to digital competence: the teacher digital competency (TDC) framework. Educational Technology Research and Development, 68(5), 2449–2472. https://doi.org/10.1007/s11423-020-09767-4
Google Scholar CrossrefFerrara, F., & De Simone, M. (2014). Using Habermas in the study of mathematics teaching: The need for a wider perspective. En P. Liljedahl, C. Nicol, S. Oesterle, & D. Allan (Eds.), Proceedings of PME 38 and PME-NA 36 (Vol. 1, pp. 223–228). PME.
Google Scholar CrossrefFont, V., Godino, J. D. & Gallardo, J. (2013). The emergence of objects from mathematical practices. Educational Studies in Mathematics, 82(1), 97–124. https://doi.org/10.1007/s10649-012-9411-0
Google Scholar CrossrefGiménez, J. & Vanegas, Y. (2011). Competencias, aprendizaje y evaluación. En J.M. Goñi (Ed.), Didáctica de las Matemáticas. Formación de profesorado de Secundaria en Matemáticas (pp.75–110). Graó.
Google Scholar CrossrefGodino, J. D., Giacomone, B., Batanero, C., & Font, V. (2017). Enfoque ontosemiótico de los conocimientos y competencias del profesor de matemáticas. Boletim de Educação Matemática, 31(57), 90–113. http://dx.doi.org/10.1590/1980-4415v31n57a05
Google Scholar CrossrefHealy, L. & Powell, A. B. (2013). Understanding and overcoming “disadvantage” in learning mathematics. En M. A. Clements, A. J. Bishop, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.), Third International Handbook of Mathematics Education (pp. 69–100). Springer.
Google Scholar CrossrefHoyles, C. (1998). A culture of proving in school mathematics? En D. Tinsley & D. Johnson (Eds.), Information and communications technologies in school mathematics (pp. 169–182). Chapman & Hall. https://doi.org/10.1007/978-0-387-35287-9_21
Google Scholar CrossrefKampylis, P. G., & Valtanen, J. (2010). Redefining Creativity — Analyzing Definitions, Collocations, and Consequences. The Journal of Creative Behavior, 44(3), 191–214. https://doi.org/10.1002/j.2162-6057.2010.tb01333.x
Google Scholar CrossrefKaput, J. (2000). Transforming algebra from an engine of inequity to an engine of mathematical power by “algebrafying” the K-12 curriculum (ED441664). ERIC. http://files.eric.ed.gov/fulltext/ED441664.pdf
Google Scholar CrossrefLagrange, J. B. (2000). L'intégration d'instruments informatiques dans l'enseignement: Une approche par les techniques. Educational Studies in Mathematics, 43(1), 1–30. https://doi.org/10.1023/A:1012086721534
Google Scholar CrossrefLei, J. (2009). Digital natives as preservice teachers: What technology preparation is needed? Journal of Computing in Teacher Education, 25(3), 87–97. https://doi.org/10.1080/10402454.2009.10784615
Google Scholar CrossrefLeikin, R. (2009). Exploring mathematical creativity using multiple solution tasks. En R. Leikin, A. Berman, & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students (pp. 129–145). Sense Publisher.
Google Scholar CrossrefLev-Zamir, H., & Leikin, R. (2013). Saying versus doing: teachers’ conceptions of creativity in elementary mathematics teaching. ZDM – Mathematics Education, 45(2), 295–308. https://doi.org/10.1007/s11858-012-0464-4
Google Scholar CrossrefLiljedahl, P., & Sriraman, B. (2006). Musings on mathematical creativity. For the learning of mathematics, 26(1), 17-19.
Google Scholar CrossrefLOMLOE (2020) Ley Orgánica 3/2020, de 29 de diciembre, por la que se modifica la Ley Orgánica 2/2006, de 3 de mayo, de Educación. https://www.boe.es/buscar/pdf/2020/BOE-A-2020-17264-consolidado.pdf
Google Scholar CrossrefMaher, M. L., & Poon, J. (1996). Modeling design exploration as co-evolution. Computer-Aided Civil and Infrastructure Engineering, 11(3), 195–209. https://doi.org/10.1111/j.1467-8667.1996.tb00323.x
Google Scholar CrossrefMallart, A., & Deulofeu, J. (2017). Estudio de indicadores de creatividad matemática en la resolución de problemas. Revista Latinoamericana de Investigación en Matemática Educativa, 20(2), 193–222. https://doi.org/10.12802/relime.17.2023
Google Scholar CrossrefMinisterio de Educación y Formación Profesional y Administraciones educativas de las comunidades autónomas. (2022). Marco de Referencia de la Competencia Digital Docente. Autor. Disponible en: https://intef.es/wp-content/uploads/2023/05/MRCDD_GTTA_2022.pdf
Google Scholar CrossrefMishra, P., & Koehler, M. J. (2006). Technological pedagogical content knowledge: A framework for teacher knowledge. Teachers College Record, 108(6), 1017–1054. https://doi.org/10.1111/j.1467-9620.2006.00684.x
Google Scholar CrossrefNacarato, A. M. (2011). Práticas pedagógicas e educação matemática. En H. Amaral da Fontoura & M. Silva (Eds.), Práticas pedagógicas, linguagem e mídias: Desafios após-graduação em educação em suas múltiplas dimensões (pp. 163–177). ANPEd Nacional.
Google Scholar CrossrefPapadopoulos, I., Barquero, B., Richter, A., Daskolia, M., Barajas, M. & Kynigos, C. (2015). Representations of creative mathematical thinking in collaborative designs of c-book units. En K. Krainer & N. Vondrová (Eds.) Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education (pp. 2381–2387). Charles University in Prague – Faculty of Education, ERME.
Google Scholar CrossrefPolo, M. (2017). The professional development of mathematics teachers: Generality and specificity. En G. Aldon, F. Hitt, L. Bazzini, & U. Gellert (Eds.) Mathematics and Technology (pp. 495–521). Springer. https://doi.org/10.1007/978-3-319-51380-5_23
Google Scholar CrossrefRitcher, A., Barquero, B., Font, V., & Barajas, M. (2015). ¿Cómo promover la creatividad matemática? El papel de las comunidades de interés y del diseño de c-unidades. En R. Flores (Ed.), Acta Latinoamericana de Matemática Educativa (pp. 732–739). Comité Lationamericano de Matemática Educativa.
Google Scholar CrossrefRoyo, P., Coll, C., & Giménez, J. (2017). e-Collaborative forums as mediators when solving algebraic problems. En G. Aldon, F. Hitt, L. Bazzini, & U. Gellert (Eds.), Mathematics and Technology (pp. 395–408). Springer. https://doi.org/10.1007/978-3-319-51380-5_18
Google Scholar CrossrefSala, G., Font, V., Barquero, B., & Giménez, J. (2017). Contribución del EOS en la construcción de una herramienta de evaluación del pensamiento matemático creativo. En J. M. Contreras, P. Arteaga, G. R. Cañadas, M. M. Gea, B. Giacomone & M. M. López (Eds.), Actas del Segundo Congreso International Virtual sobre el Enfoque Ontosemiótico del Conocimiento y la Instrucción Matemáticos. Disponible en https://enfoqueontosemiotico.ugr.es/civeos.html#comunicaciones
Google Scholar CrossrefSánchez, A., Font, V., & Breda, A. (2022). Significance of creativity and its development in mathematics classes for preservice teachers who are not trained to develop students’ creativity. Mathematics Education Research Journal, 34(4), 863–885. https://doi.org/10.1007/s13394-021-00367-w
Google Scholar CrossrefSeckel, M. J., Breda, A., Sánchez, A., & Font, V. (2019). Criterios asumidos por profesores cuando argumentan sobre la creatividad matemática. Educação e Pesquisa, 45, e211926. https://doi.org/10.1590/S1678-4634201945211926
Google Scholar CrossrefSeckel, M. J. & Font, V. (2015). Competencia de análisis didáctico en la formación inicial de profesores de matemática de Chile. En P. Scott & A. Ruíz (Eds.), Educación Matemática en las Américas 2015. Volumen 1: Formación Inicial para Primaria (pp. 10-18). Comité Interamericano de Educación Matemática.
Google Scholar CrossrefSequera, E. (2007). Creatividad y desarrollo profesional docente en matemáticas para la educación primaria [Tesis doctoral, Universitat de Barcelona]. Dipòsit Digital de la Universitat de Barcelona. http://hdl.handle.net/2445/41432
Google Scholar CrossrefSiew, N. M., & Chong, C. L. (2014). Fostering students' creativity through Van Hiele's 5 phase-based tangram activities. Journal of Education and Learning, 3(2), 66-80. http://dx.doi.org/10.5539/jel.v3n2p66
Google Scholar CrossrefStake, R. E. (2007). Investigación con estudio de casos (R. Filella, Trad.; 4ª ed.). Morata.
Google Scholar CrossrefTorrance, E. P. (1974). Torrance tests of creative thinking: Norms-technical manual. Scholastic Testing Services.
Google Scholar CrossrefPublished
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