Conhecimento matemático para ensinar com tecnologia: episódios da prática de uma professora

Helena Rocha

doi:10.46551/emd.e202125

Autores

Helena Rocha Universidade Nova de Lisboa https://orcid.org/0000-0003-3865-7422

DOI:

10.46551/emd.e202125

Palavras-chave:

Conhecimento Profissional, Tecnologia Digital, Conhecimento para Ensinar Matemática com a Tecnologia, Matemática

Resumo

A investigação tem evidenciado o potencial da tecnologia para transformar o ensino da Matemática, mas também a relevância do professor e do seu conhecimento profissional. Neste artigo adota-se uma metodologia qualitativa, com base em estudo de caso, e analisam-se dois episódios da prática de uma professora no âmbito do estudo de funções no 10.º ano de escolaridade, tendo por base o modelo do Conhecimento para Ensinar Matemática com a Tecnologia (KTMT). A intenção é caracterizar o conhecimento da professora a partir da sua prática, compreendendo simultaneamente como esta contribui para promover o desenvolvimento do conhecimento da professora. As conclusões alcançadas evidenciam a importância do modelo KTMT incluir na sua concepção aspetos realçados pela investigação sobre integração da tecnologia, determinantes na caracterização do conhecimento da professora. Mostram ainda a relevância da prática para o desenvolvimento do conhecimento da professora e a perspectiva dinâmica sobre o conhecimento que este modelo pode proporcionar.

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Referências

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.