Algebraic thinking within National Common Curriculum Base: reflections and alternatives
DOI:
https://doi.org/10.23925/1983-3156.2022v24i2p325-352Keywords:
Teaching Algebra, BNCC, Phenomenology, Algebraic Thinking and ExpressionAbstract
This work is guided by the inquiry about the conception of algebraic thinking present in the text of the Base Nacional Comum Curricular (BNCC). For this, we analyze the document highlighting the aspects concerning algebraic thinking presented in it and we critically understand them based on the conception described by Edmund Husserl's Phenomenology (1859-1938) about the act of thinking. The analysis of the document showed a technicist, pragmatic and computational vision for the teaching and learning practices of algebra, a vision centered more on language than on the meanings of thought that this language makes explicit. This observation motivated us to look for alternatives for the treatment of this discipline. One of them is that of the Dutch mathematician Hans Freudenthal (1905-1990), who considers the importance of understanding algebra beyond its operative rules.
References
Bachelard, G. (1986). A formação do espírito científico: contribuição para uma psicanálise do conhecimento. Contraponto.
Brasil. (2017). Base Nacional Comum Curricular. Ministério da Educação/Conselho Nacional de Educação. http://basenacionalcomum.mec.gov.br
Budden, F. J. (1972). The fascination of Groups.Cambridge University Press.
Costa, A. M. (1971). As ideias fundamentais da Matemática e outros ensaios. Editora da Universidade de São Paulo.
Freudenthal, H. (1970). Mathematics as an Educational Task. D. Reidel.
Freudenthal, H. (2002) Didactical phenomenology of mathematical structures. Kluwer Academic Publishers.
Houaiss, A.; Villar, M. S. (2001). Dicionário Houaiss da lingua portuguesa. Objetiva.
Husserl, E. (1962). Lógica formal y Lógica Transcendental: ensayo de uma crítica de la razón lógica. Centro de Estudios Filosóficos. Universidad Nacional Autónoma de México.
Husserl, E. (2006). Ideias para uma fenomenologia pura e para uma filosofia fenomenológica: Introdução geral à fenomenologia pura. Ideias & Letras.
Husserl, E. (2012). A crise das ciências europeias e a fenomenologia transcendental: uma introdução à Filosofia fenomenológica. Gen.
Husserl, E. (2012a). Investigações Lógicas: investigações para a fenomenologia e a teoria do conhecimento. Gen.
Husserl, E. (2014). Investigações lógicas: prolegômenos à lógica pura. Forense.
Lyotard, J. F. (2000). Peregrinações: Lei, Forma, Acontecimento. Estação Liberdade.
Moura, C. A. R. de. (1989) Crítica da Razão na Fenomenologia. Nova Stella: Edusp.
Peacok, G. (1830). A Treatise on Albegra. J. and J.J. Deighton.
Santos, E. & Tomé, L. (2020). O discurso ausente de democracia na Base Nacional Comum Curricular do Ensino Fundamental. Jornal de Políticas Educacionais. 14 (25), 1-19.
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