DISCOURSES IN MATH CLASSES AND BUILDING BARRIERS TO THE DEVELOPMENT OF SHARED CREATIVITY

Authors

Keywords:

creativity in mathematics, shared creativity in mathematics, discourse, mathematics teaching, power relations.

Abstract

Aware that classrooms are traversed by asymmetrical power relations perceived in the discourses and constructed and reproduced through them, we discuss in this paper the effects that these power relations have on the development of creative mathematical skills and shared creativity in math when students work in groups. Therefore, the aim of this study was to analyze the barriers to shared creativity in mathematics that emerge in the discourses originated in the interaction moments of 5th grade students when solving open mathematical problems, using the Critical Discourse Analysis (ADC). We identified the following barriers in student discourse: Excessive criticism, Early criticism, Disbelief of students perceived as bad in math, Fear of participating, Lack of critical evaluation of ideas, Ignored ideas, Intolerance to error and negative self-image. It is concluded that the class configuration, with few interactions during the class and with few opportunities to internalize the worked mathematical concepts, directly interfered with the power relations established in the studied class and emerged in the analyzed discourses, resulting in unfavorable situations for effective learning due to the production of barriers to shared creativity in mathematics. Thus, there are two challenges for the current teacher: a) offer opportunities for the development of mathematical knowledge creatively and b) install spaces for enhancing shared creativity through the removal of barriers.

Downloads

Download data is not yet available.

Author Biographies

Alexandre Tolentino de Carvalho, Docente na Secretaria de Educação do Distrito Federal - Brasil

Doutor em Educação. Integrante do Pi: Grupo de Pesquisas e Investigações em Educação Matemática.

Cleyton Hércules Gontijo, Docente no Programa de Pós-Graduação em Educação da Universidade de Brasília - Brasil

Doutor em Educação. Integrante do Pi: Grupo de Pesquisas e Investigações em Educação Matemática.

References

ALENCAR, E. M. L. S. D.; FLEITH, D. D. S. Criatividade: Múltiplas perspectivas. 3 ed. Brasília: Universidade de Brasília, 2003.

ANDERSON, L. W. et. al. A taxonomy for learning, teaching and assessing: a revison of Bloom’s Taxonomy of Educational Objectives. Nova York: Addison Wesley Longman, 2001.

ARTEAGA, L. A.; VALDÉS, E. A.; MARTÍNEZ, J. L. D. S. El Desarrollo de la Creatividad em la Enseñanza de la Matemática. El reto de la educación matemática en el siglo XXI. Revista Conrado, v. 12, 84-92, 2016.

BEGHETTO, R. A. Creativity in the Classroom. In: KAUFMAN, J. C.; STERNBERG , R. J. The Cambridge Handbook of Creativity. New York: Cambridge University Press, Cap. 23, p. 441-463, 2010.

BOALER, J. Mentalidades matemáticas: estimulando o potencial dos estudantes por meio da matemática criativa, das mensagens inspiradoras e do ensino inovador. Tradução de Daniel Bueno. Porto Alegre: Penso, 2018.

BOLDEN, D. S.; HARRIES, T. V.; NEWTON, D. P. Pre-service primary teachers’ conceptions of creativity in mathematics. Educational Studies in Mathematics , v. 73, p. 143–157, 2010.

BONILLA, F. J. El cuento y la creatividad como preparación a la resolución de problemas matemáticos. Educación Matemática en la Infancia, v. 3, n. 1, p. 117-143, 2014.

BRUNET, L. Clima de trabalho e eficácia da escola. (ed), As. In: (ED.), A. N. As organizações escolares em análise. Lisboa: Publicações D. Quixote, 1992. p. 121-139.

CANNON-BOWERS, J. A.; SALAS, E. Reflections on shared cognition. Journal of Organizational Behavior, v. 22, n. 2, p. 195-202, 2001.

CARVALHO, A. T. Apagar e corrigir: cadernos limpos cabeça confusa. Contribuições à teoria das situações didáticas e criatividade nas aulas de matemática. Perspectivas da Educação Matemática, v. 7, n. 13, p. 38-59, 2014.

CHAN, D. Functional relations among constructs in the same content domain at different levels of analysis: A typology of composition model. Journal of Applied Psychology, v. 83, p. 234-246, 1998.

CHRISTOU, C. CREATIVITY AND IMAGINATION IN MATHEMATICS. The 10th Mathematical Creativity and Giftedness International Conference. Nicosia, Cyprus: Publisher: Department of Education, University of Cyprus, p. 17-26. 2017.

COOKE, N. J. et al. Measuring team knowlwdge. Human Factors, v. 42, p. 151-173, march 2000.

CSIKSZENTMIHALYI, M. Creativity. Nova York: HarperCollins, 1996.

DELEUZE, G.; GUATTARI , F. Mil Platôs: capitalismo e esquizofrenia. Rio de Janeiro: Editora 34, v. 2, 1995.

FAIRCLOUGH, N. Discurso e mudança social. Tradução de Izabel Magalhães. Brasília: Universidade de Brasília, 2001.

FAIRCLOUGH, N. Language and power. New York: Longman, 1989.

FREIRE, P. Pedagogia do oprimido. Rio de Janeiro: Paz e Terra, 1974.

GLĂVEANU, V. P. Distributed Creativity: thinking outside the box of the creative individual. Londres: Springer, 2014.

GRAMSCI, A. Cadernos do cárcere. Tradução: Carlos Nelson Coutinho. 2 ed. Rio de Janeiro: Civilização Brasileira, 2001.

GUASTELLO, S. J. Non-linear Dynamics and Leadership Emergence. The Leadership Quarterly, Milwaukee, WI, v. 18, n. 4, p. 357-369, agosto 2017.

GUO, J.; DILLEY, E.; GONZALES, R. Creativity and Leadership in Organizations: A Literature Review. Creativity. Theories – Research – Applications, Bialystok-Polônia, v. 3, n. 1, p. 127-151, 2016.

KOZLOWSKI, S. W. J.; KLEIN, K. J. A multilevel approach to theory and research in organizations: Contextual, temporal, and emergent processes. In: KLEIN, K. J.; KOZLOWSKI; S. W. J. Multilevel theory, research and methods in organizations: Foundations, extensions, and new directions. San Francisco, CA: Jossey-Bass, 2000. p. 3-90.

LEIKIN, R. Developing mathematical creativity and expertise in students and teachers: focusing on multiple solution and investigation tasks. The 10th Mathematical Creativity and Giftedness International Conference. Nicosia, Cyprus: Department of Education, University of Cyprus, p. 7-16, 2017.

LEIKIN, R. Evaluating mathematical creativity: the interplay between multiplicity and insight. Psychological Test and Assessment Modeling, v. 55, n. 4, p. 385-400, 2013.

LITHNER, J. A research framework for creative. Educational Studies in Mathematics, v. 67, p. 255–276, 2008.

MANN, E. L. Creativity: The Essence of Mathematics. Journal for the Education of the Gifted, v. 30, n. 2, p. 236-260, 2006.

MARTÍNEZ, A. M. Aprendizagem criativa: uma aprendizagem diferente. In: MITJÁNS MARTÍNEZ, A.; SCOZ, B. J. L.; CASTANHO, M. I. S. Ensino e aprendizagem: a subjetividade em foco. Brasília: Liber livros, 2012. p. 85-109.

MIHAJLOVIć, A.; DEJIć, M. USING OPEN-ENDED PROBLEMS AND PROBLEM POSING ACTIVITIES IN ELEMENTARY MATHEMATICS CLASSROOM. The 9th Mathematical Creativity and Giftedness International Conference. Sinaia, ROMANIA: [s.n.], p. 34-41, 2015.

OXFAM. A distância que nos une: um retrato das desigualdades brasileiras. São Paulo: Brief Comunicação, 2017.

PITTA-PANTAZI, D.; SOPHOCLEOUS, P. Higher order thinking in mathematics: a complex construct. The 10th International MCG Conference. Nicosia, Cyprus: University of Cyprus. p. 72-78, 2017.

SAWYER, K. Group Genious: The creative power of collaboration. New York: Basic Books, 2007.

SHEFFIELD, L. J. Dangerous myths about “gifted” mathematics students. ZDM Mathematics Education, v. 49, p. 13–23, 2017.

SWAAB, R. et al. Shared Cognition as a Product of, and Precursor to, Shared Identity in Negotiations. Personality and Social Psychology Bullettin, v. 33, p. 187-199, 2007.

RENZULLI, J. S.; GENTRY, M.; REIS, S. M. A time and palace for authentic learning Educational Leadership, v. 26, p. 73-77, 2004.

VAN DIJK, T. Discurso e Poder. 2. ed. São Paulo: Contexto, 2015.

VIGOTSKI, L. S. A formação social da mente. São Paulo: Martins Fontes, 1998.

Published

2020-08-24

How to Cite

DE CARVALHO, A. T.; GONTIJO, C. H. DISCOURSES IN MATH CLASSES AND BUILDING BARRIERS TO THE DEVELOPMENT OF SHARED CREATIVITY. Cenas Educacionais, [S. l.], v. 3, p. e7469, 2020. Disponível em: https://revistas.uneb.br/index.php/cenaseducacionais/article/view/7469. Acesso em: 24 nov. 2024.

Issue

Section

Thematic Dossier