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Desempenho dos alunos na lógica formal e relação com a sua língua e classe social

  • Guambe, Ribas [1] ; Mutemba, Balbina [1] ; Matavele, Hilária [1]
    1. [1] Eduardo Modlane University
  • Localización: Revista Latinoamericana de Etnomatemática, ISSN-e 2011-5474, Vol. 13, Nº. 3, 2020 (Ejemplar dedicado a: Posturas Etnomatemáticas alrededor del mundo: producción, posibilidad, cooperación y contradicción), págs. 62-87
  • Idioma: portugués
  • DOI: 10.22267/relatem.20133.65
  • Títulos paralelos:
    • Performance of students in formal logic and relationship with their language and social class
  • Enlaces
  • Resumen
    • English

      Mozambique is a multilingual and therefore multicultural society, with more than 40 native languages. All of them are Bantu languages, with the exception of Portuguese, the official language since the independence of Mozambique, and few of the few immigrants’ residents in the country.

      According to the 2017 General Census, only about 47% of the population had Portuguese as their mother tongue (INE, 2019). The dominant languages at the place where the research was carried out are: Ci-Changana, Ci-Ronga and Ci-Tshwa, all of Tsonga origin and mutually understandable among speakers.

      Although only about 26% of school-age children communicate in Portuguese, this is the language of instruction in Mozambique. This information is relevant because, in the Mozambican context, speaking the official language, gives the speaker a differentiated status in relation to the others, that is, whoever speaks this language, theoretically, has a higher social status.

      The objectives of the research are (i) to explore the strategies preferred by the students, from different social and linguistic extracts, when solving problems about logic and (ii) to relate performance in solving a question of logic presented in the research and school success.

      The research is qualitative, supported by the discursive approach to learning mathematics. Eight students from the 10th Class of a school located in the semi-rural environment participated in it. The participants with better school performance showed to have the rules of recognition of the context in allusion, that is, they solved the problem involving logical reasoning based on the propositions presented in the statement, and from the meanings constructed texts legitimately accepted for that context, while with low performance they were based on their daily experiences to produce their texts, which reveals a lack of recognition of the context of the problem.

    • português

      Moçambique é uma sociedade multilingue e, consequentemente multicultural, com mais de 40 línguas nativas. Excluindo o Português e poucas de poucos imigrantes todas elas são línguas Bantu. Segundo o Censo Geral de 1997, somente 6,5% da população tinha o Português como língua mãe e, como primeira língua e destes 14% tinham idade inferior a 50 anos, e só 2.1% tinha 50 ou mais anos de idade.Apesar deste panorama a língua de ensino em Moçambique é o Português, mesmo sabido que apenas menos de 5% de crianças ingressam na Escola sabendo comunicar nesta língua. As línguas dominantes no local onde a  pesquisa foi desenvolvida são: Ci-Changana, Ci-Ronga e Ci-Tshwa, as quais são, mutuamente, entendíveis entre os falantes.O objectivo da pesquisa é (i) explorar o entendimento do estudante ao simbolismo algébrico, linguagem abstracta e lógica e (ii) relacionar este entendimento com o sucesso escolar na disciplina de matemática com a sua condição  socio-económica e linguística.Para delimitar a área de estudo foram colocadas as seguintes questões de pesquisa: (1) quais são as estratégias preferidas pelos alunos quando resolvem problemas baseados na lógica em relação ao seu estatuto sócio-económico e linguístico? (2) em particular: Como é que a língua materna e o estatuto sócio-económico estão associados ao raciocínio e procedimentos dos alunos?Como orientação teórica a pesquisa apoiu-se na abordagem discursiva de aprendizagem de matemática.O presente artigo pretende, apoiado na etnomatemática, discutir a relação entre o raciocínio e os procedimentos dos alunos e a sua ligação com a sua língua materna e estatuto socio-económico.

  • Referencias bibliográficas
    • Anyon, J. (1981). Social Class and School knowledge. Curriculum Inquiry, 11, 3-42.
    • Atweh, B., Bleicher, B., & Cooper, T. (1998). The construction of the social context of mathematics classrooms: A sociolinguitic analysis....
    • Barile, M. (2007). Sienceworld. Retrieved 09 05, 2012: scienceword.wolfram.com.
    • Bastin, Y., Coupez, A., & Mann, M. (1999). Continuity and divergence in the Bantu languages (Annales Sciences humaines, vol 162). Tervuren:...
    • Bauersfeld, H. (1992). Integrating theories for mathematics education. For the Learning of Mathematics 12(2), 19-28.
    • Bell, A. (1996). Problem-solving aproaches to algebra: Two aspects. In N. Bednarz, C. Kieran, & L. Lee (Eds.), Approaches to algebra:...
    • Bell, J. (1987). Doing your research project: A guide for first-time researchers in education and social science. Buckingham, UK: Open University...
    • Bernsitein, B. (1977). Codes, modalities, and the process of cultural reproduction: a model. London, UK: Cambrigde University Press.
    • Bernstein, B. (1990). Pedagogy, Symbolic Control and Identity: Theory, research, critique. Revised edition. London, UK: Rowman & Littlefield.
    • Bernstein, B. (1995). Code, theory and its positioning: A case study in misrecognition. British Journal of Sociology of Education, 16, 3-19.
    • Bernstein, B. (1997). Pedagogy, symbolic, control and identity: Theory, research, critique. Oxford, England: Taylor & Francis.
    • Bernstein, B. (2000). Pedagogy, symbolic control and identity: Theory, research and critique. Revised edition. Oxford: Roman & Littlefield.
    • Bloedy-Vinner, H. (2001). Beyond unknowns and variables - parameters and dumy variables in high school algebra. In R. Sutherland, T. Rojano,...
    • Clarkson. (2002). Studying bilingual children, studying Mathematics in Australia. Norwich, England: Paper presented at the multilingual mathematics...
    • Clarkson, P. (1992). Language and mathematics: A comparison of bilingual and monolingual students of mathematics. Educational Studies in Mathematics,...
    • Cooper, B., & Dunne, M. (2000). Assessing children's mathematical knowledge: Social class, sex and problem solving. Buckingham, UK:...
    • Cummins, J. (1984). Bilingualism and special education: Issues in assessment and pedagogy. Clevedon, England: Multilingual Matters.
    • Dawe, L. (1983). Bilingualism and mathematical reasoning in English as a second language. Educational Studies in Mathematics, 14(4), 325-353.
    • Furinghetti, F., & Paola, D. (1994). Parameters, unknowns and variables: A little difference? In J. P. Da Ponte, & J. F. Matos (Eds.)....
    • Guadalii, K. E. (2001). Languages in Mozambique. Africa & Asia, 1, 6-12.
    • Gellert, U. (2009). Analysing accounts, discourse and mathematics classroom interaction. Reflections on qualitative methodology. In R. Kaasila...
    • Gellert, U., & Jablonka, E. (2009). “I am not talking about reality”: Word problems and the intricacies of producing legitimate text....
    • Gorgório, N., & Planas, N. (2001). Teaching mathematics in multilingual classrooms. Educational Studies in Mathematics 47, 7-33.
    • Guthrie, M. (1971). Comparative Bantu: An Introduction to the Comparative Linguistics and Prehistory of the Bantu Languages. Bantu Prehistory,...
    • Halliday, M. (1978). Language as social semiotic: The social interpretation of language and meaning. London, UK: Edward Arnold.
    • Halliday, M. (1985). Systemic Perspectives in Discourse. London: Edward Arnold.
    • Halliday, M., & Hassan, R. (1989). Language, context and text: Aspects of language in a social-semiotic perspective. London, England:...
    • Herbert, K., & Brown, R. (1997). Patterns as tools for algebraic reasoning. Teaching Children Mathematics, 3 , 340-345.
    • Hoadley, U. (2009). The reproduction of social class differences through pedagogy: A model for investigation of pedagogic variation. British...
    • INDE. (2010). Programas de Matematica do II Ciclo do Ensino Secundario Geral [II Cycle Mathematics Syllabus for the Secondary School]. Maputo,...
    • Jablonka, E. (2007). Mathematical literacy: Die verflüchtigung eines ambitionierten testkonstrukts. In I. T. Jahnke, & W. Meyerhöferr,...
    • Jablonka, E. (2009). Sociological perspectives in research in mathematics education. In R. Kaasila (Ed.), Matematiikan ja luonnontieteiden...
    • Jablonka, E. (2011). The (hidden) rules in a mathematics classroom. In Brandell, G., & Pettersson (Eds.), A. Matematikundervisning: vetenskapliga...
    • Jablonka, E., & Gellert, U. (2010). Ideological roots and uncontrolled flowering of alternative curriculum conceptions. In U. Gellert,...
    • Khatupa, M. (1986). Linguistic view in Mozambique and linguistic contribution to the definition of an appropriate linguistic policy. Portugal:...
    • Kieran, C. (2007). Learning and teaching algebra at the middle school through college levels: Building meaning for symbols and their manipulation....
    • Küchemann, D. (1981). Algebra. In K. M. Hart, (Ed.), Children's understanding of mathematics: 11-16 (pp. 102-119). London, UK: John Murray.
    • Lerman, S. (2006). Learning mathematics as developing identity in the classroom. In P. Liljedhal (Ed). Proceedings of the canadian mathematics...
    • Lerman, S., & Zevenbergen, R. (2004). The socio-political context of the mathematics classroom: Using Bernstein’s theoretical framework...
    • MacGregor, M., & Price, E. (1999). An exploration of aspects of language and algebraic learning. Journal for Research in Mathematics Education,...
    • MacGregor, M., & Stacey, k. (1994). Progress in learning algebra: Temporary and persistent difficulties. In G. Bell, B. Wright, N. Leeson,...
    • MacGregor, M. & Stacey, K. (1997). Students' understanding of algebra notation: 11-15. Educational Studies in Mathematics, 33, 1-19.
    • Meaney, T. (2002). Symbiosis or cultural clash? Indigenous students learning mathematics. Journal of Intercultural Studies, 23, 167-187.
    • Martin, D. B. (2010, March). Not-so-strange bedfellows: Racial projects and the mathematics education enterprise. In Proceedings of the Mathematics...
    • Mason, J. (1988). Learning and doing mathematics. Macmillan International Higher Education.
    • Mason, J., & Waywood, A. (1996). The role of theory in mathematics education and research. In International handbook of mathematics education...
    • MINED/DNESG. (2004). Programas da disciplina de Matemática do 1 Ciclo do Ensino Secundário Geral [Mathematics subject syllabus for the I Cycle...
    • MINED. (2010). Regulamento de avaliação do Ensino Secundário Geral. Diploma Ministerial no 190/2010. Maputo, Moçambique: Ministério da Educação.
    • Moschkovich, J. (2002, July). Methodological challenges in studying bilingual mathematics learners. Paper presented at the multilingual mathematics...
    • Moschkovich, J. (2010a). Language(s) and learning mathematics: Resources, challenges and issues for research. In J. Moschkovich (Ed.), Language...
    • Moschkovich, J. (2010b). Recommendations for research on language and mathematics education. In J. Moschkovich (Ed.), Language and mathematics...
    • Maho, J. (2001). The Bantu area:(towards clearing up) a mess. Africa & Asia, 1, 40-49.
    • Mutemba, B. (2010). Innovation or not? Consitency in the curriculum prescription in the new curriculum in Mozambique. In U. Gellert, E. Jablonka...
    • Mutemba, B. (2012). Pedagogic Practice Between Tradition and Renewal A Study of the New Mathematics Curriculum in Mozambique. Doctoral thesis....
    • Mutemba, B., & Jablonka, E. (2008). The Interpretational space in the curriculum: Intentions and interpretations of mathematical reasoning...
    • Oppenheim, A. N. (1992). Questionnaire design and attitude measurement. London, UK: Heineman.
    • Posner, G., & Gertzog, W. (1982). The clinical interview and measurement of conceptual change. Science Education, 66, 195-209.
    • Radford, L. (2003). Onthe Epistemological Limits of language: Mathematical and social Practice during the Renaissance. Educational Studies...
    • Ríordáin, M. N. (2010). Where did it all go right? The socio-political development of Gaeilge as a medium for learning mathematics in Ireland....
    • Sanders, M., & Mokuku, T. (1994). How valid is face validity? Proccedings of the 2nd annual meeting of the Southern African Association...
    • Secada, W. G. (1992). Race, ethnicity, social class, language, and achievement in mathematics. In D. Grows, Handbook of research on mathematics...
    • Taylor, N., & Vinjevold, P. (1999). Teaching and learning in South African schools. Getting Learning Right. Johannesburg: Wits, Joint...
    • Usiskin, Z. (1988). Conceptions of school algebra and uses of variables. In A. F. Coxford (Ed.), The ideas of algebra, K-12 (1988 Yearbook...
    • Usiskin, Z. (1997). Doing Algebra in Grade k-4. Teaching Children Mathematics, 3, 346-356.
    • Veel, R. (1997). Learning how to mean scientifically speaking: Apprenticeship into discourse in the secondary school. In F. Christie, &...
    • Wheeler, D. (1996). Reflections on different approaches to algebra. In N. Bednarz, & L. Lee (Eds.), Approaches to algebra: Perspectives...
    • Zevenbergen, R. (1995). The research story collection. In J. Mousley, M. Robson, & D. Calquhoun (Ed.), Discourse analysis of the classroom...
    • Zevenbergen, R. (1998). Gender, media and conservative politics. In C. Keitel (Ed.), Social justice and mathematics education: Gender, class...
    • Zevenbergen, R. (2000). Cracking the code of mathematics: school success as a functional of linguistic, social and cultural background. In...
    • Zevenbergen, R. (2001). Mathematics, social class, and linguistic capital: An analysis of mathematics classroom Interactions. In B. Atweh,...
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