Pensamento computacional ao serviço da educação matemática: O caso da animação de modelos 3D programáveis em MaLT2

Autores

  • Marianthi Grizioti Educational Technology Lab, Department of Educational Studies, National and Kapodistrian University of Athens | Grécia https://orcid.org/0000-0001-9670-0359
  • Chronis Kynigos Educational Technology Lab, Department of Educational Studies, National and Kapodistrian University of Athens & Department of Computer Science and Media Technology, Linnaeus University | Grécia, Suécia https://orcid.org/0000-0002-7412-0422
  • Marcelo Milrad Department of Computer Science and Media Technology, Linnaeus University | Suécia https://orcid.org/0000-0002-6937-345X

DOI:

https://doi.org/10.48489/quadrante.37379

Palavras-chave:

pensamento computacional, educação matemática, construcionismo, modelador 3D, ensino secundário

Resumo

A comunidade científica reconheceu que o Pensamento Computacional (PC) vai além da ciência da computação e deve ser integrado de forma significativa em todo o currículo. No entanto, no que diz respeito à educação matemática, a maioria das abordagens, estudos e ferramentas estão focadas em conceitos de programação em tarefas matemáticas, deixando processos matemáticos de alto nível e competências em segundo plano. Além disso, a maior parte das pesquisas concentra-se nos primeiros anos, deixando lacunas na compreensão do papel do PC na matemática do ensino secundário. Este artigo propõe uma abordagem que utiliza a programação para desenvolver o Pensamento Computacional ao serviço da aprendizagem matemática, em vez do contrário. Por meio de um estudo empírico com estudantes do ensino secundário utilizando o MaLT2, um modelador online de Geometria da Tartaruga em 3D, investigamos como o PC pode apoiar a matematização, oferecendo insights sobre a interseção entre o PC e o raciocínio matemático. Exploramos diferentes soluções computacionais para problemas matemáticos, dadas por estudantes do ensino secundário, discutindo se elas seguem uma abordagem orientada para a matemática ou para a ciência da computação. Os resultados mostraram que as práticas de PC podem ser usadas de diferentes maneiras para resolver o mesmo problema computacionalmente e, dependendo da abordagem, podem promover a construção de significado matemático ou de significado em ciência da computação.

Referências

Barab, S., & Squire, K. (2004). Design-based research: Putting a stake in the ground. The Journal of the Learning Sciences, 13(1), 1–14.

Benton, L., Hoyles, C., Kalas, I., & Noss, R. (2017). Bridging primary programming and mathematics: Some findings of design research in England. Digital Experiences in Mathematics Education, 3, 115–138. https://doi.org/10.1007/s40751-017-0028-x

Brennan, K., & Resnick, M. (2012). New frameworks for studying and assessing the development of computational thinking. In Proceedings of the 2012 annual meeting of the American educational research association, 1. https://scratched.gse.harvard.edu/ct/files/AERA2012.pdf

Calder, N. (2012). Processing mathematics through digital technologies. Springer Science & Business Media.

Chan, S.-W., Looi, C.-K., Ho, W. K., & Kim, M. S. (2023). Tools and approaches for integrating computational thinking and mathematics: A scoping review of current empirical studies. Journal of Educational Computing Research, 60(8), 2036–2080. https://doi.org/10.1177/07356331221098793

Cobb, P., Confrey, J., diSessa, A., Lehrer, P., Schauble, L. Design. (2003). Experiments in educational research. Educational Researcher, 32(1), 9–13.

Cui, Z., Ng, O. L., & Jong, M. S. Y. (2023). Integration of computational thinking with mathematical problem-based learning. Educational Technology & Society, 26(2), 131–146.

Grover, S., & Pea, R. (2018). Computational thinking: A competency whose time has come. Computer science education: Perspectives on teaching and learning in school, 19(1), 19–38.

diSessa, A. 2001. Changing Minds: Computers, Learning and Literacy. MIT Press.

Ernest, P., Skovsmose, O., Van Bendegem, J. P., Bicudo, M., Miarka, R., Kvasz, L., & Moeller, R. (1991). The philosophy of mathematics education. Springer Open.

Francisco, J. (2013). Learning in collaborative settings: Students building on each other’s ideas to promote their mathematical understanding. Educational Studies in Mathematics, 82, 417–438. https://doi.org/10.1007/S10649-012-9437-3

Harel, I. E., & Papert, S. E. (1991). Constructionism. Ablex Publishing.

Harvey, B. (1997). Computer science logo style. MIT Press.

Healy, L., & Kynigos, C. (2010). Charting the microworld territory over time: Design and construction in mathematics education. ZDM – Mathematics Education, 42, 63–76. https://doi.org/10.1007/s11858-009-0193-5

Israel-Fishelson, R., & Hershkovitz, A. (2022). Studying interrelations of computational thinking and creativity: A scoping review (2011–2020). Computers & Education, 176, 104353. https://doi.org/10.1016/j.compedu.2021.104353

Jansen, M., Kohen-Vacs, D., Otero, N., & Milrad, M. (2018). A complementary view for better understanding the term computational thinking. In Proceedings of the International Conference on Computational Thinking Education 2018, (pp. 2–7). CoolThink@JC. The Hong Kong Jockey Club, The Education University of Hong Kong.

Kafai, Y. B., & Resnick, M. (Eds.). (1996). Constructionism in practice: Designing, thinking, and learning in a digital world. Routledge.

Kite, V., Park, S., & Wiebe, E. (2021). The code-centric nature of computational thinking education: A review of trends and issues in computational thinking education research. SAGE Open, 11(2), 1-17. https://doi.org/10.1177/21582440211016418

Kynigos, C. (1995). Programming as a means of expressing and exploring ideas: Three case studies situated in a directive educational system. In A. diSessa, C. Hoyles, R. Noss, & L. D. Edwards (Eds.), Computers and exploratory learning (pp. 399–419). Springer Berlin Heidelberg.

Kynigos, C. (2015). Constructionism: Theory of learning or theory of design? In S. J. Cho (Eds.), Selected Regular Lectures from the 12th International Congress on Mathematical Education (pp. 417–438). Springer.

Kynigos, C., & Diamantidis, D. (2021). Creativity in engineering mathematical models through programming. ZDM-Mathematics Education, 54, 149–162. https://doi.org/10.1007/s11858-021-01314-6

Kynigos, C., Essonnier, N., & Trgalova, J. (2020). Social creativity in the education sector: The case of collaborative design of digital resources in mathematics. In V. Glăveanu, I. Ness, & C. Saint Laurent (Eds.), Creative Learning in Digital and Virtual Environments, (pp. 30–49). Routledge.

Kynigos, C., & Grizioti, M. (2018). Programming approaches to computational thinking: Integrating Turtle geometry, dynamic manipulation and 3D Space. Informatics in Education, 17(2), 321–340. https://doi.org/10.15388/infedu.2018.17

Li, Y., Schoenfeld, A. H., diSessa, A. A., Graesser, A. C., Benson, L. C., English, L. D., & Duschl, R. A. (2020). Computational thinking is more about thinking than computing. Journal for STEM Education Research, 3(1), 1–18. https://doi.org/10.1007/s41979-020-00030-2

Lv, L., Zhong, B., & Liu, X. (2023). A literature review on the empirical studies of the integration of mathematics and computational thinking. Education and Information Technologies, 28(7), 8171–8193. https://doi.org/10.1007/s10639-022-11518-2

Mitchelmore, M. C. (2002). The role of abstraction and generalisation in the development of mathematical knowledge. Paper presented at the 2nd East Asia Regional Conference on Mathematics Education (EARCOME) and the 9th Southeast Asian Conference on Mathematics Education (SEACME), Singapore, May 27-31.

Morgan, C., & Kynigos, C. (2014). Digital artefacts as representations: Forging connections between a constructionist and a social semiotic perspective. Educational Studies in Mathematics, 85(3), 357–379. https://doi.org/10.1007/s1064 9-013-9523-1

Ng, O. L., Leung, A., & Ye, H. (2023). Exploring computational thinking as a boundary object between mathematics and computer programming for STEM teaching and learning. ZDM–Mathematics Education, 55(7), 1315–1329. https://doi.org/10.1007/s11858-023-01509-z

Nordby, S. K., Bjerke, A. H., & Mifsud, L. (2022). Computational thinking in the primary mathematics classroom: A systematic review. Digital Experiences in Mathematics Education, 8(1), 27–49. https://doi.org/10.1007/s40751-022-00102-5

Noss, R., & Hoyles, C. (1996). Windows on mathematical meanings: Learning cultures and computers (Vol. 17). Springer.

Papert, S. (1972). Teaching children to be mathematicians versus teaching about mathematics. International Journal of Mathematical Education in Science and Technology, 3(3), 249–262.

Papert, S. (1980). Mindstorms: Children, computers, and powerful ideas. Basic Books Inc.

Shumway, J. F., Welch, L. E., Kozlowski, J. S., Clarke Midura, J., & Lee, V. R. (2021). Kindergarten students’ mathematics knowledge at work: the mathematics for programming robot toys. Mathematical Thinking and Learning, 25(4), 380–408. https://doi.org/10.1080/10986065.2021.1982666

Subramaniam, S., Mahmud, M. S. & Maat, S. S. (2022). Computational thinking in mathematics education: A systematic review. Cypriot Journal of Educational Sciences, 17(6), 2029–2044 https://doi.org/10.18844/cjes.v17i6.7494

Tavory, I., & Timmermans, S. (2019). Abductive analysis and grounded theory. The SAGE handbook of current developments in grounded theory, 532–546. Sage. https://doi.org/10.4135/9781526485656.n28

Tikva, C., & Tambouris, E. (2021). Mapping computational thinking through programming in K-12 education: A conceptual model based on a systematic literature review. Computers & Education, 162, 104083. https://doi.org/10.1016/j.compedu.2020.104083

Tripp, D. (2011). Critical incidents in teaching (classic edition): Developing professional judgement. Routledge.

Ye, H., Liang, B., Ng, O. L., & Chai, C. S. (2023). Integration of computational thinking in K-12 mathematics education: A systematic review on CT-based mathematics instruction and student learning. International Journal of STEM Education, 10(1), 3. https://doi.org/10.1186/s40594-023-00396-w

Wing J. M. (2006). Computational thinking. Communications of the ACM, 49(3), 33–35.

Wing, J. M. (2008). Computational thinking and thinking about computing. Philosophical Transactions of the Royal Society A, 366(1881), 3717–3725.

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Publicado

2024-12-30

Como Citar

Grizioti, M., Kynigos, C., & Milrad, M. (2024). Pensamento computacional ao serviço da educação matemática: O caso da animação de modelos 3D programáveis em MaLT2. Quadrante, 33(2), 110–129. https://doi.org/10.48489/quadrante.37379

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