Dificultades para codificar, relacionar y categorizar problemas verbales algebraicos: dos estudios con estudiantes de secundaria y profesores en formación

Referencias

BELL, A.; SWAN, M.; TAYLOR, G. Choice of operation in verbal problems with decimal numbers.Educational Studies in Mathematics, Dordrecht, v. 12, n. 4, p. 399-420, Nov. 1981. BERNARDO, A.B.I. Analogical problem construction and transfer in mathematical problem solving.Educational Psychology, London, v. 21, n. 2, p. 137-150, Dec. 2001 BIRGIN, O. Investigation of Eighth-Grade Students’ Understanding of the Slope of the Linear Function. Bolema, Rio Claro, v. 26, n. 42, p. 139-162, Abr. 2012. CARPENTER, T.; HIEBERT, J.; MOSER, J. Problem structure and first grade children’s initial solution processes for simple addition and subtraction problems. Journal for Research in Mathematics Education, Normal, v. 12, n. 1, p. 27-39, Jan. 1981 CASTRO, E.; RICO, L.; BATANERO, C.; CASTRO, E., Dificultad en problemas de comparación multiplicativa. En: PME CONFERENCE, 15th., 1991, Assisi, Italy. Proceedings…Assisi, Italy: PME, 2001, p.192-198. CERDÁN, F. Estudios sobre la familia de problemas aritmético-algebraicos. 2008, 736f. Tesis (Doctorado en Didáctica de la Matemática)-Facultad de Magisterio, Universitat de Valencia: Servicio de Publicaciones de la Universitat de València, 2008. CHEN, Z.; KLAHR, D. Briding the gap: Remote transfer of problem-solving and scientific reasoning strategies in children. In R. Kail (Ed.), Advances in child development and behavior, Burlington, MA: Academic Press. p. 419-470, 2008 CHI, M.T.H.; FELTOVICH, P.J.; GLASER, R. Categorization and representation of physics problems by experts and novices. Cognitive Science, Malden, v. 5, n. 2, p. 121-152, Apr, 1981. CHI, M.T.H.;GLASER, R.; REES, E. Expertise in problema solving. In: STERBERGN R. J. (Ed.).Advances in the psychology of human intelligence. Hillsdale, NJ: Erlbaum, 1982. P. 07-75. GENTNER, D. Structure-mapping. A theoretical framework for analogy. Cognitive Science, Malden, v. 7, n.2, p. 155-170, Apr./Jun. 1983. GICK, M.L.; HOLYOAK, K.J. Analogical problem-solving. Cognitive Psychology, Acess in: 09-06- 2013, v. 15, n. 3, p. 306-355, Jul. 1980. Disponible en: Acess in: 09 jun. 2013. GICK, M. L.; HOLYOAK, K. J.Schema induction and analogical transfer. Cognitive Psychology,Amsterdam, v. 15, n.1, p. 1-38, Jan. 1983. GOLDSTONE, R. L.; SAKAMOTO, Y. The Transfer of Abstract Principles Governing Complex Adaptive Systems. Cognitive Psychology, Amsterdam. v. 46, n. 4, p. 414-466, Jun. 2003. GÓMEZ-FERRAGUD, C.B.; SOLAZ-PORTOLÉS, J.J.; SANJOSÉ, V. Una revisión de los procesos de transferencia para el aprendizaje y enseñanza de las ciencias. Didáctica de las ciencias experimentales y sociales. Valencia. v.1, n. 26, p. 199-227, Dec. 2012. GÓMEZ-FERRAGUD, C.B.; SOLAZ-PORTOLÉS, J.J.; SANJOSÉ, V. Analogy Construction andSuccess in Mathematics and Science Problem-Solving: a Study with Secondary Students. Revista de Psicodidáctica, Bilbao, v. 18, n. 1, p. 81-108, Jan. 2013. GREENO, J.G. Situations, Mental Models, and Generative Knowledge, In: D. KLAHR Y K. KOTOVSKY (Ed.). Complex Information Processing: The Impact of Herbert Simon, Hillsdale, NJ: Erlbaum, 1989, p. 285-318. HIEBERT, H. The position of the unknown set and children's solutions of verbalproblems, Journal for Research in Mathematics Education, Normal, v. 13, n. 5, p. 341-349, Jan./Apr. 1982. HOLYOAK, K.J. Analogical thinking and human intelligence. In: R.J. Sternberg (ed.). Advances in the psychology of human intelligence. Vol. 2. Hilsdale, NJ: Erlbaum, 1984. P. 199-230. HUMMEL , J. E.; HOLYOAK , K. J. Distributed representations of structure: A theory of analogical access and mapping. Psychological Review, Washington, v. 104, n. 3, p. 427-466, Jan./Jun. 1997.Disponible en: ttp://courses.media.mit.edu/2004spring/mas966/hummel_and_holyoak%201997.pdf. Acess in: 08 mar. 2012. JONASSEN, D.H. Using cognitive tools to represent problems. Journal of Research on Technology in Education, Eugene, v. 35, n. 3, p. 362-381, Jan./Jul. 2003. KINTSCH, W.; GREENO. J. Understanding and solving word arithmetic problems. Psychological Review, Princeton, v. 92, n. 1, p.109-129, Jan./Mar. 1985. KINTSCH, W. Comprehension: a paradigm for cognition. Cambridge, UK: Cambridge University Press, 1998. LOEWENSTEIN, J.; THOMPSON, L.; GENTNER, D. Analogical encoding facilitates knowledge transfer in negotiation. Psychonomic Bulletin and Review, Irvine, v. 6, n. 4 p. 586-597. Dec.1999. NATHAN, M.; KINTSCH, W.; YOUNG, E. A Theory of Algebra-Word- Problem Comprehension and Its Implications for the Design of Learning Environments. Cognition and Instruction, New York, v. 9, n. 4, p.329-389, Sep./Nov. 1992. NEWELL, A.; SIMON, H.A: Human Problem Solving. Englewood Cliffs, NJ: Prentice-Hall, 1972. NOVICK, L. Analogical transfer, problem similarity, and expertise. Journal of Experimental Psychology: Learning, Memory and Cognition, Washington, vol. 14, n. 3 p. 510-520, Jul. 1988. Disponible en: Acess in: 03 abr 2011. OLIVA, J. M. El pensamiento analógico desde la investigación educativa y desde la perspectiva del profesor de ciencias. Revista electrónica de Enseñanza de las Ciencias, Barcelona, v. 3, n. 3, p.363- 384, Mar. 2004. POLYA, M. How to solve it. 2nd .Ed. New York: Doubleday, 1957. PUIG, L.; CERDÁN, F. Problemas aritméticos escolares. Madrid: Síntesis, (edición conmemorativa 20º aniversario), 1988. PUIG, L. Poner un problema en ecuaciones, 1998. Disponible en:. Acess in: 11 jun. 2013. QUEIROZ, S.; LINS, M. A aprendizagem de matemática por alunos adolescentes na modalidade educação de jovens e adultos: analizando as dificultades na resoluçâo de problemas de estrutura aditiva. Bolema, Rio Claro, v. 24, n. 38, p. 75-96, Apr. 2011 . REBELLO, N. S.; CUI, L.; BENNET, A. G.; ZOLLMAN, D. A.; OZIMEK, D. J. Transfer of learningin problem solving in the context of mathematics and physics. En: D. Jonassen (Ed.). Learning to solve complex scientific problems. Hillsdale, N. J.: Lawrence Earlbaum, 2007. P. 217-250. REED, S. K., DEMPSTER, A.; ETTINGER, M. Usefulness of analogous solutions for solving algebra word problems. Journal of Experimental Psychology: Learning, Memory, & Cognition, Washington, v. 11, n. 1, p. 106-125, Feb. 1985. REEVES, L. M.; WEISBERG, R. W. The role of content and abstract information in analogical transfer. Psychological Bulletin, Champaign , v. 115, n. 3, p. 381-400, 1994. Disponible en: doi: 10.1037//0033-2909.115.3.381 RIVAS, M. A.; GODINO, J.D.; CASTRO, W. F. Desarrollo del Conocimiento para la Enseñanza de la Proporcionalidad en Futuros Profesores de Primaria. Bolema, Rio Claro (SP), v. 26, n. 42B, p. 559- 588, Apr. 2012. SALOMON, G.; PERKINS, D. N. Transfer of cognitive skills from programming: When and how?Journal of Educational Computing Research, New York, v. 3, n. 2, p.149-169, Apr./Jun. 1987. SANJOSÉ, V.; SOLAZ-PORTOLÉS, J. J.; VALENZUELA, T. Transferencia inter-dominios en resolución de problemas: una propuesta instruccional basada en el proceso de “traducción algebraica”. Enseñanza de las Ciencias, Barcelona, v. 27, n. 2, p. 169-184, Marzo. 2009. Disponible en: Acess in: 10 mar 2013. THORNDIKE, E.L.; WOODWORTH, R.S. The influence of improvement in one mental function upon the efficiency of other functions. Psychological Review, Washington, v. 8, n. 3, p. 90-127, May. 1901. VALENTN, J.D.; L. CHAP-SAM. Roles of semantic structure of arithmetic word problems on pupils’ ability to identify the correct operation. International Journal for Mathematics Teaching and Learning (electronic journal), May. 2005. Disponible en: Acess en: 13 jun. 2013. VANLEHN, K. Analogy Events: How Examples are Used During Problem Solving. Cognitive Science, Malden, v. 22, n. 3, p347-388, Apr. 1998. VERGNAUD, G. A. classification of Cognitive Tasks and Operations of thought Involved in Addition and Subtractions Problems. In: CARPENTER, T., MOSER, J.; ROMBERG, T. Addition and Subtraction: a cognitive perspective. New Jersey: Ed. Lawrence Erlbaun Hillsdale, USA, 1982. p. 39- 59.