Exploratory study of mental interactions of sixth graders on the conceptual understanding of multiplication
Keywords:
Interacciones mentales, multiplicación, entrevista reconciliadora, enseñanza de las matemáticasAbstract
This article presents the results of the investigation with the purpose of exploring how sixth-grade, high-school students built or interiorized the concept of multiplication from the beginning of their schooling up until present day.
How to reference this article:
FIGUEROA MOLINA, Roberto; UTRIA ECHEVERRÍA, Carlos; COLPAS CASTILLO, Rafael y ARAUJO PEREIRA, Antonio, “Estudio exploratorio de las interacciones mentales de los estudiantes de sexto grado sobre el entendimiento del concepto multiplicación”, Revista Educación y Pedagogía, Medellín, Universidad de Antioquia, Facultad de Educación, vol. XVII, núm. 43, (septiembre-diciembre), 2005, pp. 111-124.
Received: september 2005
Accepted: december 2005
Downloads
References
BARODY, A., J., 1985, “Mastery of Basic Number Combinations: Internalization of relationships or facts?”, Journal for Research in Mathematics Education, vol. 16, núm. 2-3, pp. 83-98.
BUDGET, A.; TURNER, P. y COONEY, T., 1996, “Analyzing Teaching and Learning: The Art listening”, The Mathematics Teacher, vol. 89, núm. 4, abr., pp. 326-329.
BUSCHMAN, L., 1995, “Communicating in the Language of Mathematics”, Teaching Children Mathematics, vol. 1, núm. 16, pp. 324-329.
CLARK, F. B. and KAMII, C., 1996, “Identification of Multiplicative Thinking in Children in Grade 1-5”, Journal for Research in Mathematics Education, vol. 27, núm. 1, pp. 41-51.
CRAMER, K. y KARNOWSKI, L., 1995, “The Importance of Informal Language in Representing Mathematical Ideas”, Teaching Children Mathematics, vol. 1, núm. 6, pp. 332-335.
DE LEÓN, H. y FUENLABRADA, I., 1996, “Procedimientos de la solución de niños de primaria en problemas de reparto”, Revista Mexicana de Investigación Educativa, vol. 1, núm. 2, pp. 268-282.
FENNELL, F., REYS, R. y WEBB, A., 1991, Mathematics Unlimited, Orlando, FL, Harcourt, Brace Jovanovich.
FIGUEROA, R., 1996, “Estudio exploratorio de las interacciones mentales de los docentes de ciencias naturales sobre la concepción de reacción química: una propuesta teórica”, en: Primer Encuentro de Investigaciones de Post-Grado, 18 y 19 de octubre de 1996, Puerto Rico, Universidad de Puerto Rico.
HART, K., ed., 1981, Children’s understanding of Mathematics: 11-16, Londres, John Murray.
KAMII, C. y LIVINGSTON, S., 1994, Young Children continue to reinvent Arithmetic, 3rd grade, Nueva York, Teachers College Press.
KOUBA, V., 1989, “Children`s Solution Strategies for Equivalent Set Multiplication and Division Word Problems”, Journal for Research in Mathematics Education, núm. 20, pp. 147-158.
KOUBA, V. L. y FRANKLIN, K., 1995, “Multiplication and Division: Sense Making and Meaning”, Teaching Children Mathematics, vol. 1, núm. 9, pp. 574-577.
LINDQUIST, M., ed., 1989, Results from the Fourth Mathematics Assessment of Educational Progress, Reston, VA, National Council of Teachers of Mathematics.
MELUN, R., 1994, “Language, Intellectual Structure and Common Mathematical Errors: A call for Research”, School Science and Mathematics, vol. 9, núm. 5, may., pp. 235-239.
NATIONAL COUNCIL OF TEACHERS OF MATHEMATICS —NCTM—, 1989, Assessment Standards for School Mathematic, Reston, NCTM.
NATIONAL RESEARCH COUNCIL, 1989, Everybody Counts: A Report to the Nation on the Future of Mathematics Education, Washigton, D. C., Nacional Academy Press.
NORWOOD, K. S. y CARTER, G., 1994, “Journal Writing: An Insight into Students Understanding”, Teaching Children Mahematics, vol. 1, núm. 3, pp.146-148.
PAGE, A., 1994, “Helping Students understand Subtractio”, Teaching Children Mahematics, vol. 1, núm. 3, nov., pp. 140-143.
PIAGET, J., 1987, Possibility and Necessity, Minneapolis, University of Minnesota Press (Original work published 1983).
SIMON, M. A. y BLUME, G. W., 1994, “Bulding and Understanding Multiplicative Relationships: A Study of Perspective Elementary Teachers”, Journal for Research in Mathematics Education, vol. 25, núm. 5, pp. 472-493.
STEFFE, L., 1988, “Children’s Construction of Number Sequences and Multiplying Schemes”, en: HIEBERT, J. y BEHR, M., eds., Number Concepts and Operations in the Middle Grades, vol. 2, Reston, VA, National Council of Teacher mathematics, pp. 119-140.
VYGOTSKY, L. S., 1986, Thought and Lenguaje, A. Kozulin, ed., Cambridge, MA: MIT Press (Traducción al castellano: Pensamiento y lenguaje, Buenos Aires, La Pléyade, 1977).
Downloads
Published
How to Cite
Issue
Section
License
Esta obra está bajo una licencia de Creative Commons Reconocimiento-NoComercial-CompartirIgual 4.0 Internacional
