Dificultades en el aprendizaje de las matemáticas
una perspectiva evolutiva
Palavras-chave:
Matemática, Solución de problemas, Cognición, NiñoResumo
El objetivo de este trabajo es plantear un marco teórico de carácter evolutivo que nos permita analizar y comprender las dificultades que surgen en el proceso de enseñanza y aprendizaje de las matemáticas. Para ello, comenzaremos revisando cómo se desarrolla el pensamiento matemático de los niños, ya que asumimos que las dificultades en el aprendizaje surgen en este proceso evolutivo. Posteriormente, analizaremos algunas de las dificultades, centrando nuestra atención en las dificultades relacionadas con el cálculo y la resolución de problemas.
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Orrantia J. Dificultades en el aprendizaje del cálculo: una perspectiva cognitiva. Siglo Cero 1997;28:5-22.
Orrantia J. Les dificultats de l’aprenentatge de les matemàtiques. In: Sánchez E, ed. Dificultats de l’aprenentatge. Barcelona: Universitat Oberta de Catalunya;1997.
Orrantia J, Morán MC, Gracia AD, González L. ¡Tenemos un problema...! Propuesta de un programa para enseñar a resolver problemas de matemáticas. Comunicación, Lenguaje y Educación 1995;28:15-28.
Gelman R, Gallistel CR. The child’s understanding of number. Cambridge: Harvard University Press;1978.
Resnick LB. Developing mathematical knowledge. Am Psychol 1989;44:162-9.
Resnick LB. From protocuantities to operators: building mathematical competence on a foundation of everyday knowledge. In: Leinhardt G, Putnam R, Hattrup RA, eds. Analysis of arithmetic for mathematics teaching. Hillsdale: LEA;1992.
Mayer RE. Mathematical ability. In: Sternberg RJ, ed. Human abilities: an information processing approach. New York: Freeman;1985. p.127-50.
Mayer RE. Cognition and instruction in mathematics: introduction to special section. J Educ Psychol 1989;81:452-6.
Mayer RE. Thinking, problem solving, cognition. New York: Freeman;1992.
Mayer RE, Larkin JH, Kadane JB. A cognitive analysis of mathematical solving ability. In: Sternberg RJ, ed. Advances in the psychology of human intelligence vol.2. Hillsdale: Erlbaum;1984. p.231-73.
Shoenfield A. Mathematical problem solving. Orlando: Academic Press;1985.
Greeno J. Some examples of cognitive task analysis with instructional implication. In: Snow R, Federico PA, Montage WE, eds. Aptitude learning and instruction. vol. II. Cognitive process analysis of learning and problem solving. Hillsdale: Erlbaum;1980. p.1-21.
Carpenter TP, Moser JM. The development of addition and subtraction problem solving skills. In: Carpenter TP, Moser JM, Romberg YTA, eds. Addition and subtraction: a cognitive perspective. Hillsdale: Erlbaum;1982. p.9-24.
De Corte E, Verschaffel L. The effect of semantic structure on first graders strategies for solving addition and subtraction word problem. J Res Mathematics Educ 1987;18:363-81.
Stern E. What makes certain arithmetic word problems involving the comparison of sets so difficult for children? J Educ Psychol 1993;85:7-23.
Briars DJ, Larkin JH. An integrated model of skill in solving elementary word problems. Cogn Instruc 1984;1:245-96.
Cummins DD, Kintsch W, Reusser K, Weimer R. The role of understanding in solving word problems. Cog Psychol 1988;20:405-38.
Kintsch W, Greeno J. Understanding and solving word arithmetic problem. Psychol Rev 1985;92:109-29.
Reusser K. From text to situation to equation: cognitive simulation of understanding and solving mathematical word problems. In: Mandl H, De Corte E, Bennett N, Friedrich HF, eds. Learning and instruction. vol. 2. Oxford: Pergamon;1990. p.477-98.
Riley MS, Greeno JG. Developmental analysis of understanding language about quantities and solving problems. Cogn Instruc 1988;5:49-101.
Riley NS, Greeno J, Heller JI. Development of children’s problem solving ability in arithmetic. In: Ginsburg HP, ed. The development of mathematical thinking. New York: Academic Press;1983. p.153-96.
Kintsch W. The role of knowledge in discourse comprehension: a construction-integration model. Psychol Rev 1988;95:163-82.
Kintsch W. Comprehension: a paradigm for cognition. Cambridge: Cambridge University Press;1998.
Van Dijk TA, Kitsch W. Strategies of discourse comprehension. New York: Academic Press;1983.
Orrantia J. El rol del conocimiento conceptual en la resolución de problemas aritméticos con estructura aditiva. Infanc Aprendizaje 2003;26(4):451-68.
Fuson KC, Carroll WM, Landis J. Levels in conceptualizing and solving addition and subtraction compare word problems. Cognition and Instruction 1996;14:345-71.
Geary DC, Brown SC, Samaranayake VA. Cognitive addition: a short longitudinal study of strategy choice and speed-of-processing differences in normal and mathematically disabled children. Dev Psychol 1991;27:787-97.
Geary DC, Hoard MK, Hamson CO. Numerical and arithmetical cognition: patterns of functions and deficits in children at risk for a mathematical disability. J Exp Child Psychol 1999;74:213-39.
Orrantia J, Martínez J, Morán MC, Fernández JC. Dificultades en el aprendizaje de la aritmética: un análisis desde los modelos cronométricos. Cognitiva 2002;14:183-201.
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