Aller directement au menu principal Aller directement au contenu principal Aller au pied de page

Artículos

Vol. 12 No 1 (2009): Marzo

DESENVOLVIMENTO DO SENTIDO DO NÚMERO NA MULTIPLICAÇÃO. UM ESTUDO DE CASO COM CRIANÇAS DE 7/8 ANOS

Soumis
mai 16, 2024
Publiée
2009-01-20

Résumé

Cet article a pour thème le développement du sens des chiffres pour la multiplication et il est basé sur une étude de cas qui a vu le jour pendant le projet « Développer les sens des chiffres: perspectives et exigences du programme scolaire » réalisé au Portugal avec des enfants de 5 à 12 ans. La méthodologie utilisée était de nature qualitative et interprétative sous la forme d'une étude de cas. L'analyse est centrée sur les stratégies développées par les enfants pendant leur deuxième année de scolarisation (âgés de 7 ou 8 ans) lorsqu'ils doivent résoudre des problèmes comportant des multiplications qui font parfois partie d'une série d'exercices en classe. Les résultats montrent que le contexte des exercices, effectués en prenant comme exemple des rectangles, facilitent la compréhension de la multiplication, des propriétés de cette dernière et des relations numériques multiplicatives.

Références

  1. Abrantes, P. Oliveira, I. & Serrazina, 1. (1999). A Matemática na Educação Básica. Lisboa: Ministério da Educação
  2. Anghileri, J. (2001). Contrasting approaches that challenge tradition. In J. Anghileri (Ed.). Principles and practices in arithmetic teaching
  3. Askew, M. & Ebbutt, S. (2000). The numeracy file, London: Beam Education.
  4. Brocardo, J., Serrazina, L. & J-M Kraemer (2003). Algoritmos e sentido do número. Educação e Matemática, 75, 11-15
  5. Carpenter, T., Fennema, E., Franke, M., Levi, L. & Empson, S. (1999). Multiplication and division: Problem types and children's solution strategies. In: Children'smathematics: Cognitively guided instruction (pp. 33-53). Reston, VA: National Council of Teachers of Mathematics.
  6. Clarke, D. M. (2004). Issues in the Teaching of Algorithms in the Primary Years. In B. Clarke & al. (Eds.), International Perspectives on Learning and Teaching Mathematics (pp.21-36). Göteborg: National Center for Mathematics Education
  7. Dolk, M. e C. Fosnot (2001). Young mathematicians at work: constructing multiplication and division. Portsmouth, NH: Heineman.
  8. Fosnot, C. e Dolk, M. (2001). Young mathematics at work: Constructing number sense, addition and subtraction. Portsmouth, NH: Heinemann.
  9. Fuson, K. (2003). Developing mathematical power in whole number operations. In J.Kilpatrick, W. G. Martin e D. Schiffer (Eds.), A Research Companion for Principles and Standards for School Mathematics (pp. 69-93). Reston, Va: National Council of Teachers of Mathematics.
  10. Gravemeijer, K. (1997). Instructional design for reform in mathematics education. Beishuizen, M, Gravemeijer, K.P.E. & E.C.D.M. van Liesthout (Eds.). The role of contexts and models in the development of mathematical strategies and procedures. Freudenthal Institute, Utrecht, 13-34
  11. Gravmeijer, K. (2005). What makes mathematics so difficult and what can we do about it? In L. Santos, A. P. Canavarro & J. Brocardo (Org.), Educação Matemática: caminhos e encruzilhadas (pp.83-101). Lisboa: Associação de Professores de Matemática
  12. Gravmeijer, K. e Galen, F. (2003). Facts and Algorithms as products of student's own mathematical activity. In J.Kilpatrick, W. G. Martin e D. Schiffer (Eds.), A Research Companion for Principles and Standards for School Mathematics (pp. 114-122). Reston, Va: National Council of Teachers of Mathematics.
  13. Kami, C. e Dominic, A.(1998). The harmful effects of algorithms in grades 1-4. In L. J. Morrow e M. J. Kenney (Eds.), The teaching and learning of algorithms in school mathematics. Reston, Va: National Council of Teachers of Mathematics.
  14. McIntosh, A. (1998). Teaching mental algorithms constructively. In: L. Morrow & M. Kenney (Eds.), The teaching and learning of algorithms in school mathematics, 1998 Yearbook of the Nacional Council of Teachers of Mathematics (pp. 78-80). Reston, VA: National Council of Teachers of Mathematics.
  15. Mcintosh, A.; Reys, B. J. e Reys, R. R. (1992). A proposed framework for examining basic number sense. For the Learning of Matthematics, 12(3), 2-8, 44.
  16. Mendes, F. & Delgado, C. (2008). A aprendizagem da multiplicação e o desenvolvimento do sentido do número. In: J. Brocardo, L. Serrazina & I. Rocha (Org.), O sentido do número, reflexões que entrecruzam teoria e prática (pp. 159-182). Lisboa: Escolar Editora.
  17. Ministério da Educação (2001). Curriculo nacional do ensino básico competências essenciais. Lisboa: DEB/Ministério da Educação.
  18. Ministério da Educação (2007). Programa de Matemática do Ensino Básico. Lisboa: DGIDC/ Ministério da Educação. Disponível em http://sitio.dgidc.min-edu.pt/matematica/Paginas/Reajustamento_matematica.aspx
  19. NCTM (2000). Principles and Standards for School Mathematics. Reston, Va: National Council of Teachers of Mathematics.
  20. Simon, M. A. (1995). Reconstructing mathematics pedagogy from a constructivist perspective. Journal for Research in Mathematics Education, 26(2), 114-145.
  21. Treffers, A.& Buys, K. (2001). Grade 2 (and 3)calculation up to 100, In: M. Heuvel-Panhuizen (Ed.) Children learn mathematics (pp. 61-88). Netherlands: Freudenthal Institute (FI) Utrecht University & National Institute for Curriculum Development (SLO).

Téléchargements

Les données relatives au téléchargement ne sont pas encore disponibles.

Articles similaires

1 2 3 4 5 6 7 8 9 10 > >> 

Vous pouvez également Lancer une recherche avancée de similarité pour cet article.