Mudar as crenças matemáticas e o desempenho: Sinergias entre questões de mentalidade e um ensino eficaz

Autores

DOI:

https://doi.org/10.48489/quadrante.32534

Palavras-chave:

matemática, mentalidades, neurociências, acampamento, ansiedade matemática

Resumo

Este artigo faz uma revisão da investigação que evidencia a importância de mudar a mentalidade e as crenças matemáticas dos alunos, incluindo a investigação promissora que tem mostrado o impacto da infusão de questões de mentalidade no decurso do ensino da matemática. Estudos anteriores demonstraram um aumento da motivação e da atividade cerebral em alunos com uma mentalidade construtiva (growth mindset) quando estes enfrentam problemas matemáticos. Este artigo propõe que o foco seja alterado das simples mensagens de mentalidade positiva com vista à reorganização dos ambientes de aprendizagem e às abordagens de ensino, para o que chamamos de uma abordagem de mentalidade matemática. Apresenta também os resultados de um acampa­mento de verão que foi concebido com uma abordagem de mentalidade matemática e implementado em 10 distritos dos EUA e em quatro outros países.

Referências

Aiken L. R. (1976). Update on attitudes and other affective variables in learning mathematics. Review of Educational Research, 46(2), 293–311. https://doi.org/10.3102/00346543046002293

Aiken, L. R., & Dreger, R. M. (1961). The effect of attitudes on performance in mathematics. Journal of Educational Psychology, 52(1), 19–24. https://doi.org/10.1037/h0041309

Bagès, C., Verniers, C., & Martinot, D. (2016). Virtues of a hardworking role model to improve girls’ mathematics performance. Psychology of Women Quarterly, 40(1), 55–64. https://doi.org/10.1177/0361684315608842

Beilock, S. (2015). How the body knows its mind: The surprising power of the physical environment to influence how you think and feel. Simon and Schuster.

Blackwell, L. S., Trzesniewski, K. H., & Dweck, C. S. (2007). Implicit theories of intelligence predict achievement across an adolescent transition: A longitudinal study and an intervention. Child Development, 78(1), 246–263. https://doi.org/10.1111/j.1467-8624.2007.00995.x

Blum, W. (2011). Can modelling be taught and learnt? Some answers from empirical research. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in Teaching and Learning of Mathematical Modelling. (International Perspectives on the Teaching and Learning of Mathematical Modelling) (pp. 15–30). Springer. https://doi.org/10.1007/978-94-007-0910-2_3

Boaler, J. (2019). Prove it to me!. Mathematics Teaching in the Middle School, 24(7), 422–428. https://www.youcubed.org/wp-content/uploads/2019/05/prove-it-to-me-JB.pdf

Boaler, J. (2022). Mathematical mindsets: Unleashing students’ potential through creative mathematics, inspiring messages, and innovative teaching (2nd ed.). Jossey-Bass.

Boaler, J., Dieckmann, J. A., LaMar, T., Leshin, M., Selbach-Allen, M., & Pérez-Núñez, G. (2021). The transformative impact of a mathematical mindset experience taught at scale. Frontiers in Education, 6. https://doi.org/10.3389/feduc.2021.784393

Boaler, J., Dieckmann, J. A., Pérez-Núñez, G., Sun, K. L., & Williams, C. (2018). Changing students' minds and achievement in mathematics: The impact of a free online student course. Frontiers in Education, 3. https://doi.org/10.3389/feduc.2018.00026

Bonne, L., & Johnston, M. (2016). Students’ beliefs about themselves as mathematics learners. Thinking Skills and Creativity, 20, 17–28. https://doi.org/10.1016/j.tsc.2016.02.001

Boyd, P., & Ash, A. (2018). Mastery mathematics: Changing teacher beliefs around in-class grouping and mindset. Teaching and Teacher Education, 75, 214–223. https://doi.org/10.1016/j.tate.2018.06.016

Brez, C., Hampton, E. M., Behrendt, L., Brown, L., & Powers, J. (2020). Failure to replicate: Testing a growth mindset intervention for college student success. Basic and Applied Social Psychology, 42(6), 460–468. https://doi.org/10.1080/01973533.2020.1806845

Chen, L., Bae, S. R., Battista, C., Qin, S., Chen, T., Evans, T. M., & Menon, V. (2018). Positive attitude toward math supports early academic success: Behavioral evidence and neurocognitive mechanisms. Psychological Science, 29(3), 390–402. https://doi.org/10.1177/0956797617735528

Cheng, E. (2023, May 29). What if nobody is bad at maths? The Guardian. https://www.theguardian.com/books/2023/may/29/what-if-nobody-is-bad-at-maths

Chestnut, E. K., Lei, R. F., Leslie, S. J., & Cimpian, A. (2018). The myth that only brilliant people are good at math and its implications for diversity. Education Sciences, 8(2), 65. https://doi.org/10.3390/educsci8020065

Cimpian, A., & Leslie, S. J. (2017). The brilliance trap: How a misplaced emphasis on genius subtly discourages women and African-Americans from certain academic fields. Scientific American, 317, 60–65. https://www.jstor.org/stable/27109296

Daly, I., Bourgaize, J., & Vernitski, A. (2019). Mathematical mindsets increase student motivation: Evidence from the EEG. Trends in Neuroscience and Education, 15, 18–28. https://doi.org/10.1016/j.tine.2019.02.005

Doidge, N. (2007). The brain that changes itself: Stories of personal triumph from the frontiers of brain science. Penguin.

Driscoll, M. (1999). Fostering algebraic thinking: A guide for teachers, grades 6-10. Heinemann.

Dweck, C. S. (2006). Mindset: The new psychology of success. Random House.

Dweck, C. S. (2015). Carol Dweck revisits the growth mindset. Education Week, 35(5), 20–24.

Dweck, C. S., & Yeager, D. S. (2019). Mindsets: A view from two eras. Perspectives on Psychological Science, 14(3), 481–496. https://doi.org/10.1177/1745691618804166

Gross-Loh, C. (2016, December 16). How praise became a consolation prize. The Atlantic. https://www.theatlantic.com/education/archive/2016/12/how-praise-became-a-consolation-prize/510845/

Gutierrez, R. (2000). Advancing African-American, urban youth in mathematics: Unpacking the success of one math department. American Journal of Education, 109(1), 63–111. https://doi.org/10.1086/444259

Hecht, C. A., Murphy, M. C., Dweck, C. S., Bryan, C. J., Trzesniewski, K. H., Medrano, F., Gianni, M. M., Mhatre, P., & Yeager, D. S. (2023). Shifting the mindset culture to address global educational disparities. Science of Learning, 8. https://doi.org/10.1038/s41539-023-00181-y

Iuculano, T., Rosenberg-Lee, M., Richardson, J., Tenison, C., Fuchs, L., Supekar, K., & Menon, V. (2015). Cognitive tutoring induces widespread neuroplasticity and remediates brain function in children with mathematical learning disabilities. Nature Communications, 6(1), 8453. https://doi.org/10.1038/ncomms9453

Kohn, A. (2015). The "Mindset" mindset: What we miss by focusing on kids’ attitudes. https://www.alfiekohn.org/article/mindset/

Leshin, M., LaMar, T., & Boaler, J. (in press). "When you let kids have a little bit of freedom, they'll surprise you": The role of reasoning in raising teacher expectations of student potential.

Letchford, L. (2018). Reversed: A memoir. Acorn Publishing.

Merzenich, M. (2013). Soft-wired: How the new science of brain plasticity can change your life. Parnassus.

OECD. (2019). Skills matter: Additional results from the survey of adult skills. OECD Publishing. https://doi.org/10.1787/9789264258051-en

O'Rourke, E., Haimovitz, K., Ballweber, C., Dweck, C., & Popović, Z. (2014, April). Brain points: A growth mindset incentive structure boosts persistence in an educational game. In CHI 14: Proceedings of the SIGCHI Conference on Human Factors in Computing Systems (pp. 3339–3348). https://doi.org/10.1145/2556288.2557157

Pajares, F., & Miller, M. D. (1994). Role of self-efficacy and self-concept beliefs in mathematical problem solving: A path analysis. Journal of Educational Psychology, 86, 193–203. https://doi.org/10.1037/0022-0663.86.2.193

Ramirez, G., Shaw, S. T., & Maloney, E. A. (2018). Math anxiety: Past research, promising interventions, and a new interpretation framework. Educational Psychologist, 53(3), 145–164. https://doi.org/10.1080/00461520.2018.1447384

Rienzo, C., Rolfe, H., & Wilkinson, D. (2015). Changing mindsets: Evaluation report and executive summary. Education Endowment Foundation. https://eric.ed.gov/?id=ED581132

Schoenfeld, A. H., & Sloane, A. H. (Eds.). (2016). Mathematical thinking and problem solving. Routledge.

Singh, K., Granville, M., & Dika, S. (2002). Mathematics and science achievement: Effects of motivation, interest, and academic engagement. Journal of Educational Research, 95(6), 323–332. https://doi.org/10.1080/00220670209596607

Steele, C. M. (2011). Whistling Vivaldi: How stereotypes affect us and what we can do. W. W. Norton & Company.

Suárez-Pellicioni, M., Núñez-Peña, M. I., & Colomé, À. (2016). Math anxiety: A review of its cognitive consequences, psychophysiological correlates, and brain bases. Cognitive, Affective, & Behavioral Neuroscience, 16, 3–22. https://doi.org/10.3758/s13415-015-0370-7

Suri, M. (2023). The Big Bang of Numbers. W. W. Norton & Company.

Wang, A. Y., Fuchs, L. S., Fuchs, D., Gilbert, J. K., Krowka, S., & Abramson, R. (2019). Embedding self-regulation instruction within fractions intervention for third graders with mathematics difficulties. Journal of Learning Disabilities, 52(4), 337–348. https://doi.org/10.1177/0022219419851750

Yeager, D. S., Hanselman, P., Walton, G. M., Murray, J. S., Crosnoe, R., Muller, C., … & Dweck, C. S. (2019). A national experiment reveals where a growth mindset improves achievement. Nature, 573, 364–369. https://doi.org/10.1038/s41586-019-1466-y

Yeager, D. S., Trzesniewski, K. H., & Dweck, C. S. (2013). An implicit theories of personality intervention reduces adolescent aggression in response to victimization and exclusion. Child Development, 84(3), 970–988. https://doi.org/10.1111/cdev.12003

Young, C. B., Wu, S. S., & Menon, V. (2012). The neurodevelopmental basis of math anxiety. Psychological Science, 23(5), 492–501. https://doi.org/10.1177/0956797611429134

Zahrt, O. H., & Crum, A. J. (2020). Effects of physical activity recommendations on mindset, behavior and perceived health. Preventive Medicine Reports, 17, 101027. https://doi.org/10.1016/j.pmedr.2019.101027

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Publicado

2023-12-31

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Boaler, J., Dieckmann, J., & Loos, R. A. (2023). Mudar as crenças matemáticas e o desempenho: Sinergias entre questões de mentalidade e um ensino eficaz. Quadrante, 32(2), 195–208. https://doi.org/10.48489/quadrante.32534

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