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Artículos

Vol. 25 No 1 (2022): Mars

Diferentes perfis de flexibilidade cognitiva em estudantes brasileiros de 2º e 4º anos do ensino fundamental

DOI :
https://doi.org/10.12802/relime.22.2511
Soumis
novembre 8, 2022
Publiée
2022-03-31

Résumé

Cet article vise à caractériser et comparer le profil de flexibilité cognitive dans les calculs mentaux des étudiants brésiliens, sur la base de l’analyse des éléments cognitifs, à savoir les caractéristiques des problèmes et les procédures de solution, utilisés lors de la résolution des calculs arithmétiques.L’échantillon de cette étude comprenait 42 élèves de 2e année (7 à 8 ans) et 42 élèves de 4e année (9 à 11 ans), de quatre écoles publiques de Porto Alegre. Chaque enfant a été encouragé à classer 12 calculs arithmétiques, démontrant leurs connaissances numériques lors de l’explication du raisonnement impliqué dans la résolution, grâce à un instrument d’évaluation spécifique sur la flexibilité cognitive. Les résultats ont révélé que les différences dans les proportions d’utilisation des connaissances numériques différenciaient les profils de flexibilité cognitive: flexible, mixte ou rigide

Références

  1. Andrews, P., Sunde, P. B., Nosrati, M., Petersson, J., Rosenqvist, E., Sayers, J. e Xenofontos, C. (2021). Computational Estimation and Mathematics Education: A Narrative Literature Review. Journal of Mathematics Education, 14(1), 6-27. https://doi.org/10.26711/007577152790061
  2. Aunio, P. (2019). Early Numeracy Skills Learning and Learning Difficulties - Evidence-based Assessment and Interventions. Em Geary, D. C., Berch, D. B. e Koepke, K. M. (Eds.). Cognitive Foundations for Improving Mathematical Learning (pp. 195-214). Academic Press. https://doi.org/10.1016/B978-0-12-815952-1.00008-6
  3. Aunio, P. e Räsänen, P. (2015). Core numerical skills for learning mathematics in children aged five to eight years–a working model for educators. European Early Childhood Education Research Journal, 24(5), 684-704. https://doi.org/10.1080/1350293X.2014.996424
  4. Brasil. (2021a). Resultados do Índice de Desenvolvimento da Educação Básica: resumo técnico. Brasília, Instituto Nacional de Estudos e Pesquisas Educacionais Anísio Teixeira.
  5. Brasil. (2021b). Relatório de resultados do Saeb 2019: volume 1: 5o e 9o anos do Ensino Fundamental e séries finais do Ensino Médio. Brasília, Instituto Nacional de Estudos e Pesquisas Educacionais Anísio Teixeira.
  6. Buys, K. (2001). Mental arithmetic. In van den Heuvel-Panhuizen, M. (Ed.), Children learn mathematics (pp. 121-146). Rotterdam, The Netherlands: Sense Publishers.
  7. Carvalho, R., e Rodrigues, M. (2021). Day number routine: An opportunity to understand students’ uses of numbers and operations. Journal of Mathematics Education, 14(1), 28-46. https://doi.org/10.26711/007577152790062.
  8. Caviola, S., Mammarella, I. C., Pastore, M. e Lefevre, J. A. (2018). Children’s strategy choices on complex subtraction problems: Individual differences and developmental changes. Frontiers in psychology, 9, Article 1209. https://doi.org/10.3389/fpsyg.2018.01209.
  9. Ching, B. H.-H. e Nunes, T. (2017). The Importance of Additive Reasoning in Children’s Mathematical Achievement: A Longitudinal Study. Journal of Educational Psychology, 109(4), 477-508. https://doi.org/10.1037/edu0000154.
  10. Heirdsfield, A. M. e Cooper, T. J. (2004). Factors affecting the process of proficient mental addition and subtraction: Case studies of flexible and inflexible computers. The Journal of Mathematical Behavior, 23(4), 443-463. https://doi.org/10.1016/j.jmathb.2004.09.005.
  11. Heinze, A., Grüßing, M., Arend, J. e Lipowsky, F. (2020). Fostering Children’s Adaptive Use of Mental Arithmetic Strategies: A Comparison of Two Instructional Approaches. Journal of Mathematics Education, 13(1), 18-34. https://doi.org/10.26711/007577152790052.
  12. Korten, L. (2020). Developing Flexibility in Mental Arithmetic in Interactive-Cooperative Learning Situations: Interaction as an Occasion for Productive Learning Processes. Journal of Mathematics Education, 13(1), 73-94. https://doi.org/10.26711/007577152790055.
  13. McMullen, J., Brezovszky, B., Hannula-Sormunen, M. M., Veermans, K., Rodríguez-Aflecht, G., Pongsakdi, N. e Lehtinen, E. (2017). Adaptive number knowledge and its relation to arithmetic and pre-algebra knowledge. Learning and Instruction, 49, 178-187. http://dx.doi.org/10.1016/j.learninstruc.2017.02.001.
  14. McMullen, J., Brezovszky, B., Rodríguez-Aflecht, G., Pongsakdi, N., Hannula-Sormunen, M. M. e Lehtinen, E. (2016). Adaptive number knowledge: Exploring the foundations of adaptivity with whole-number arithmetic. Learning and Individual Differences, 47, 172-181. https://doi.org/10.1016/j.lindif.2016.02.007.
  15. Mendes, M. F. P. C. (2012). A aprendizagem da multiplicação numa perspectiva de desenvolvimento do sentido de número: um estudo com alunos do 1. º ciclo [Tese de Doutorado, Instituto de Educação da Universidade de Lisboa]. Repositório da Universidade de Lisboa. http://hdl.handle.net/10451/5893.
  16. Rechtsteiner-Merz, C. e Rathgeb-Schnierer, E. (2015). Flexible mental calculation and "Zahlenblickschulung". Em K. Krainer e N. Vondrová (Eds.), Proceedings of the Ninth Conference of the European Society for Research in Mathematics Education (pp. 354-360). Charles University in Prague, Faculty of Education and ERME. https://hal.inria.fr/CERME9-TWG02/hal-01281864v1.
  17. Rathgeb-Schnierer, E. e Green, M. (2013). Flexibility in mental calculation in elementary students from different math classes. Em Proceedings of the Eighth Congress of the European Society for Research in Mathematics Education (pp. 353-362). Middle East Technical University and ERME. http://cerme8.metu.edu.tr/wgpapers/WG2/WG2_Rathgeb_Schnierer.pdf.
  18. Rathgeb-Schnierer, E. e Green, M. (2015). Cognitive flexibility and reasoning patterns in American and German elementary students when sorting addition and subtraction problems [Conference presentation]. CERME 9-Ninth Congress of the European Society for Research in Mathematics Education, Prague, Czech Republic.
  19. Rathgeb-Schnierer, E. e Green, M. (2017). Profiles of cognitive flexibility in arithmetic reasoning: A cross-country comparison of German and American elementary students. Journal of Mathematics Education, 10(1), 1-16. https://doi.org/10.26711/007577152790009.
  20. Rathgeb-Schnierer, E. e Green, M. (2019). Desenvolvendo Flexibilidade no Cálculo Mental. Educação e Realidade, 44(2), Article e87078. http://dx.doi.org/10.1590/2175-623687078.
  21. Serrazina, M. D. L. e Rodrigues, M. (2017). 'Day number': A promoter routine of flexibility and conceptual understanding. Journal of Mathematics Education, 10, 67-82. https://doi.org/10.26711/007577152790013.
  22. Serrazina, L. e Rodrigues, M. (2021). Number sense and flexibility of calculation: A common focus on number relations. Em Spinillo, A.G., Lautert, S.L. e Borba, R.E.d.S.R. (eds). Mathematical Reasoning of Children and Adults (pp. 19-40). Springer, Cham. https://doi.org/10.1007/978-3-030-69657-3_2.
  23. Spinillo, A. G. (2014). Usos e funções do número em situações do cotidiano. Em Brasil. Pacto Nacional pela Alfabetização na Idade Certa: Quantificações, registros e agrupamentos (pp. 20-29). Ministério da Educação, Secretaria da Educação Básica.
  24. Star, J. R., Newton, K., Pollack, C., Kokka, K., Rittle-Johnson, B. e Durkin, K. (2015). Student, teacher, and instructional characteristics related to students' gains in flexibility. Contemporary Educational Psychology, 41, 198-208. https://doi.org/10.1016/j.cedpsych.2015.03.001.
  25. Stein, L. M. (1994). TDE: teste de desempenho escolar: manual para aplicação e interpretação. São Paulo: Casa do Psicólogo.
  26. Thompson, I. (1999). Mental calculation strategies for addition and subtraction. Part 1. Mathematics in school, 28(5), 2-4. http://www.jstor.org/stable/30215422.
  27. Threlfall, J. (2002). Flexible mental calculation. Educational studies in Mathematics, 50(1), 29-47. https://link.springer.com/article/10.1023/A:1020572803437.
  28. Threlfall, J. (2009). Strategies and flexibility in mental calculation. ZDM, 41(5), 541-555. https://link.springer.com/article/10.1007/s11858-009-0195-3.
  29. Verschaffel, L., Greer, B. e de Corte, E. (2007). Whole number concepts and operations. Em F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 557-628). Reston, VA: NCTM.