Conocimientos matemáticos para la enseñanza con tecnología: episodios de la práctica del profesor
DOI:
10.46551/emd.e202125Palabras clave:
Conocimiento Profesional, Tecnología Digital, Modelo de Conocimiento para la Enseñanza de las Matemáticas con Tecnología, MatemáticasResumen
La investigación ha puesto de relieve el potencial de la tecnología para transformar la enseñanza de las matemáticas, pero también la relevancia de los docentes y sus conocimientos profesionales. Este artículo adopta una metodología cualitativa y analiza dos episodios de la práctica docente en el contexto del estudio de funciones en el décimo grado, basado en el Modelo de Conocimiento para la Enseñanza de las Matemáticas con Tecnología (KTMT). La intención es caracterizar el conocimiento del docente desde su práctica, entendiendo simultáneamente cómo esto contribuye a promover el desarrollo del conocimiento. Las conclusiones alcanzadas muestran la importancia del modelo KTMT incluir en su concepción aspectos destacados por la investigación sobre la integración de la tecnología, determinantes en la caracterización del conocimiento del docente. También muestran la relevancia de la práctica para el desarrollo del conocimiento del docente y la perspectiva dinámica sobre el conocimiento que este modelo puede proporcionar.
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ANGELI, Charoula; VALANIDES, Nicos. Epistemological and methodological issues for the conceptualization, development, and assessment of ICT-TPCK: advances in technological pedagogical content knowledge. Computers & Education, v. 52, n. 1, p. 154-168, jan. 2009.
BOSLEY, Jennifer; HONG, Ye; SANTOS, Alan; THOMAS, Michael. Calculators in the mathematics classroom: a longitudinal study. In: ASIAN TECHNOLOGY CONFERENCE IN MATHEMATICS, 12, 2007, Taipei. Proceedings… Taipei: ATCM, 2007, p. 37-47.
CAVANAGH, Michael. Working mathematically: the role of graphics calculators. In: CONFERENCE OF THE AUSTRALIAN ASSOCIATION OF MATHEMATICS TEACHERS, 20, 2005, Adelaide. Proceedings. Adelaide: AAMT, 2005, p. 80-86.
CLARK-WILSON, Alison; ROBUTTI, Ornella; THOMAS, Mike. Teaching with digital technology. ZDM Mathematics Education, v. 52, n. 7, p. 1223-1242, dec. 2020.
COX, Susy; GRAHAM, Charles. Diagramming TPACK in practice: using an elaborated model of the TPACK framework to analyze and depict teacher knowledge. TechTrends, v. 53, n. 5, p. 60-69, sep. 2009.
DICK, Thomas. Keeping the faith: fidelity in technological tools for Mathematics Education. In: BLUME, Glendon W.; HEID, M. Kathleen. (Ed.), Research on technology and the teaching and learning of Mathematics. Greenwich: IA, 2008, v. 2, p. 333-339.
DOERR, Helen; ZANGOR, Roxana. Creating meaning for and with the graphing calculator. Educational Studies in Mathematics, v. 41, n. 2, p. 143-163, feb. 2000.
DREHER, Anika; KUNTZE, Sebastian; LERMAN, Stephen. Why use multiple representations in the mathematics classroom? Views of English and German preservice teachers. International Journal of Science and Mathematics Education, v. 14, n. 2, p. 363-382, jul. 2016.
DRIJVERS, Paul. Digital technology in Mathematics Education: why it works (or doesn’t). PNA, v. 8, n. 1, p. 1-20, 2013.
DUNHAM, Penelope. Hand-held calculators in Mathematics Education: a research perspective. In: LAUGHBAUM, Edward. D. (Ed.), Hand-held technology in Mathematics and Science Education. Columbus: The Ohio State University, 2000, p. 39-47.
FAUSKANGER, Janne. Challenges in measuring teacher’s knowledge. Educational Studies in Mathematics, v. 90, n. 1, p. 57-73, sep. 2015.
FIGUEIREDO, Sonner Arfux de; COSTA, Nielce Meneguelo Lobo da; LLINARES, Salvador. Olhar profissional para a docência com tecnologia: um estudo na formação continuada. Educação Matemática Debate, Montes Claros, v. 5, n. 11, p. 1-23, 2021.
FRANKE, Megan; KAZEMI, Elham; BATTEY, Dan. Mathematics teaching and classroom practice. In: LESTER JR., Frank Klein. (Ed.). Second handbook of research on Mathematics teaching and learning. Charlotte: NCTM, 2007, p. 225-256.
GOOS, Merrilyn; BENNISON, Anne. Surveying the technology landscape: teachers’ use of technology in secondary mathematics classrooms. Mathematics Education Research Journal, v. 20, n. 3, p. 102-130, sep. 2008.
HILL, Heather; BALL, Deborah Loewenberg. The curious – and crucial – case of mathematical knowledge for teaching. Phi Delta Kappan, v. 91, n. 2, p. 68-71, oct. 2009.
KAPUT, James. Technology and Mathematics Education. In GROUWS, Douglas (Ed.). Handbook of research on Mathematics Teaching and Learning. New York: Macmillan, 1992, p. 515-556.
KASTBERG, Signe; LEATHAM, Keith. Research on graphing calculators at the secondary level: implications for Mathematics teacher education. Contemporary Issues in Technology and Teacher Education, v. 5, n. 1, p. 25-37, 2005.
LEIKIN, Roza; LEVAV-WAYNBERG, Anat. Exploring mathematics teacher knowledge to explain the gap between theory-based recommendations and school practice in the use of connecting tasks. Educational Studies in Mathematics, v. 66, n. 3, p. 349-371, nov. 2007.
MISHRA, Punya; KOEHLER, Matthew. Technological Pedagogical Content Knowledge: a framework for teacher knowledge. Teachers College Record, New York, v. 108, n. 6, p. 1017-1054, jun. 2006.
MONAGHAN, John; TROUCHE, Luc; BORWEIN, Jonathan. Tools and Mathematics: instruments for learning. Cham: Springer, 2016.
NIESS, Margaret; RONAU, Robert; SHAFER, Katheryn; DRISKELL, Shannon; HARPER, Suzanne; JOHNSTON, Cristopher; BROWNING, Christine; KOCA, S. Asli; KERSAINT, Gladis. Mathematics teacher TPACK standards and development model. Contemporary Issues in Technology and Teacher Education, v. 9, n. 1, p. 4-24, 2009.
PONTE, João Pedro; CHAPMAN, Olive. Mathematics teachers’ knowledge and practices. In: GUTIÉRREZ, Angel; BOERO, Paolo. (Ed.), Handbook of research on the Psychology of Mathematics Education: past, present and future. Rotterdam: Sense Publishers, 2006, p. 461-494.
ROCHA, Helena. Different representations in mathematics teaching with technology. In: In: CONFERENCE OF THE INTERNATIONAL GROUP FOR THE PSYCHOLOGY OF MATHEMATICS EDUCATION, 38, 2014, Vancouver. Proceedings… Vancouver: PME, 2014, v. 6, p. 384.
ROCHA, Helena. Graphical representation of functions using technology: a window to teacher knowledge. Teaching Mathematics and its Applications, v. 39, n. 2, p. 105-126, jun. 2020b.
ROCHA, Helena. Knowledge for Teaching Mathematics with Technology: a new framework of teacher knowledge. In: CONFERENCE OF THE INTERNATIONAL GROUP FOR THE PSYCHOLOGY OF MATHEMATICS EDUCATION, 37, 2013, Kiel. Proceedings… Kiel: PME, 2013, v. 4, p. 105-112.
ROCHA, Helena. Teacher’s representational fluency in a context of technology use. Teaching Mathematics and its Applications, v. 35, n. 2, p. 53-64, jun. 2016.
ROCHA, Helena. Using tasks to develop pre-service teachers’ knowledge for teaching Mathematics with digital technology. ZDM Mathematics Education, v. 52, n. 7, p. 1381-1396, dec. 2020a.
ROORDA, Gerrit; VOS, Pauline; DRIJVERS, Paul; GOEDHART, Martin. Solving rate of change tasks with a graphing calculator: a case study on instrumental genesis. Digital Experiences in Mathematics Education, v. 2, n. 3, p. 228-252, dec. 2016.
RUTHVEN, Kenneth. Conceptualizing mathematical knowledge in teaching. In: ROWLAND, Tim; RUTHVEN, Kenneth. (Ed.), Mathematical Knowledge in Teaching. New York: Springer, 2011, p. 83-96.
SHULMAN, Lee. Those who understand: knowledge growth in teaching. Educational Researcher, v. 15, n. 2, p. 4-14, feb. 1986.
TABACH, Michal. A Mathematics teacher’s practice in a technological environment: A case study analysis using two complementary theories. Technology, Knowledge and Learning, v. 16, n. 3, p. 247-265, oct. 2011.
TABACH, Michal; TRGALOVÁ, Jana. The knowledge and skills that mathematics teachers need for ICT integration: the issue of standards. In: ALDON, Gilles; TRGALOVÁ, Jana. (Ed.), Technology in Mathematics Teaching. Springer, 2019, p. 183-203.
THOMAS, Michael O. J.; HONG, Ye Yoon. Teacher integration of technology into Mathematics learning. International Journal of Technology in Mathematics Education, v. 20, n. 2, p. 69-84, 2013.
VISEU, Floriano; ROCHA, Helena. Interdisciplinary technological approaches from a Mathematics Education point of view. In: LEITE, Laurinda; OLDHAM, Elizabeth; AFONSO, Ana; VISEU, Floriano; DOURADO, Luís; MARTINHO, Helena. (Ed.). Science and Mathematics Education for 21st century citizens: challenges and ways forward. New York, USA: Nova Science Publishers, 2020, p. 209-229.
YIN, Robert. Case study research — design and methods. Thousand Oaks: Sage Publications, 2003.
ZBIEK, Rose; HEID, M. Kathleen; BLUME, Glendon; DICK, Thomas. Research on technology in Mathematics Education: a perspective of constructs. In: LESTER JR., Frank Klein. (Ed.). Second handbook of research on Mathematics teaching and learning. Charlotte: NCTM, p. 1169-1207.
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