Estrategias de sentido numérico en estudiantes del grado en matemáticas
Tipo de documento
Autores
Lista de autores
Almeida, Rut, Bruno, Alicia y Perdomo, Josefa
Resumen
Se presentan resultados de una investigación sobre el sentido numérico de un grupo de estudiantes universitarios del grado en matemáticas en España. El objetivo de la investigación es estudiar el uso de estrategias asociadas al sentido numérico que manifiestan estos estudiantes. Los resultados muestran que, a pesar de la alta formación matemática de estos alumnos, manifiestan bajo éxito en las respuestas a determinadas cuestiones numéricas, cuando se les pide resolverlas siguiendo métodos no tradicionales de cálculo.
Fecha
2014
Tipo de fecha
Estado publicación
Términos clave
Contextos o situaciones | Estrategias de solución | Inicial | Otro (números)
Enfoque
Idioma
Revisado por pares
Formato del archivo
Referencias
Alajmi, H. y Reys, R. (2007). Examining eighth grade Kuwaiti students’ recognition and interpretation of reasonable answers. International Journal of Science and Mathematics Education, 8, pp. 117-139. http://dx.doi.org/10.1007/s10763-009-9165-z Alsawaie, O.N. (2011). Number sense- based strategies used by high-achieving sixth grade students who experienced reform textbooks. International Journal of Science and Mathematics Education, 26, pp. 1-27. Anghileri, J. (2006). Teaching Number Sense, 2nd Edition. London: Continuum. Behr, M., Wachsmuth, I., Post T. y Lesh R. (1984). Order and Equivalence of Rational Numbers: A Clinical Teaching Experiment. Journal for Research in Mathematics Education, 15(5), pp. 323-341. http://dx.doi.org/10.2307/748423 Berch, D. (2005). Making sense of number sense. Journal of learning disabilities, 36(4), pp. 333- 339. http://dx.doi.org/10.1177/00222194050380040901 BOE (2006). Real Decreto 1513/2006, de 7 de diciembre, por el que se establecen las enseñanzas mínimas de la Educación primaria (BOE nº. 293, 8 de diciembre de 2006). BOE (2007). Real Decreto 1631/2006, por el que se establecen las enseñanzas mínimas de la Educación Secundaria Obligatoria (BOE nº. 5, 5 de enero de 2007). Contreras, L., Carrillo, J., Zarayan, D., Muñóz-Catalán, M.C. y Climent, N. (2012). Un estudio exploratorio sobre las competencias numéricas de los estudiantes para maestros. Bolema, Río Claro, 26(42b), pp. 433-457. http://dx.doi.org/10.1590/S0103-636X2012000200003 De Castro, C., Castro, E. y Segovia, I. (2004). Errores en el ajuste del valor posicional en tareas de estimación: Estudio con maestros en formación. En E. Castro y E. de la Torre (eds.). Actas del VIII Simposio de la SEIEM. A Coruña: Universidade da Coruña, pp. 183-194. Dowker, A., Flood, A., Griffiths, H., Harris, L. y Hook, L. (1996). Estimation strategies of four groups. Mathematical cognition, 2(2), pp. 113-135. http://dx.doi.org/10.1080/135467996387499 Faulkner, V. (2009). Components of Number sense: An instructional model for teachers. Teaching Exceptional Children, 41(5), pp. 24-30. Fischbein, E., Deri, M., Nello, M.S. y Marino, M.S. (1985). The Role of Implicit Models in Solving Verbal Problems in Multiplication and Division Journal for Research in Mathematics Education, 16(1), pp. 3-17. Gersten, R. Jordan, N.C. y Flojo, J. (2005). Early identification and interventions for students with mathematics difficulties. Journal of Learning Disabilities, 38(4), p p . 293-304. http://dx.doi.org/10.1177/00222194050380040301 Gómez, B. (1995). Tipología de errores en el cálculo mental. Un estudio en el contexto educativo. Enseñanza de las Ciencias, 13(3), pp. 313-325. Greeno, J. G. (1991). Number sense as situated knowing in a conceptual domain. Journal for Research in Mathematics Education, 22(3), pp. 170-218. http://dx.doi.org/10.2307/749074 Hart, K. (1981). Children’s understanding of mathematics:11-16. London: John Murray Publisher. Markovits, Z. y Sowder, J. (1994). Developing number sense: an intervention study in grade 7. Journal for Research in Mathematic Education, 25(1), pp. 4-29. http://dx.doi.org/10.2307/749290 McIntosh, A., Reys, B.J. y Reys, R.E.(1992). A proposed framework for examining basic number sense. For the learning of mathematics, 12(3), pp. 2-8. Methe, S. A., Hojnoski, R., Clarke, B., Owens, B.B., Lilley, P.K., Politylo, B.C., White, K.M. y Marcotte, A.M. (2001). Innovations and Future Directions for Early Numeracy Curriculum- Based Measurement: Commentary on the Special Series. Assessment for Effective Intervention, 36(4), pp. 200-209. http://dx.doi.org/10.1177/1534508411414154 NCTM (1989). Curriculum and Evaluation Standards for School Mathematics. Reston, VA: National Council of Teachers of Mathematics. NCTM (2000). Principles and Standars for School Mathematics. Reston, VA: National Council of Teachers of Mathematics. Ortega, T. y Ortiz, M. (2006). Jerarquía holística de las dificultades asociadas a las estrategias aditivas de cálculo mental. Enseñanza de las Ciencias, 24(1), pp. 99-110. Reys, B.J. (1991). Developing number sense: Addenda series, grades 5-8. Reston, VA: National Council of Teachers of Mathematics. Reys, B.J. y Yang, D.C. (1998). Relationship between computational performance and number sense among sixth and eighth grade students in Taiwan. Journal for Research in Mathematic Education, 29(2), pp. 225-237. http://dx.doi.org/10.2307/749900 Reys, R., Reys, B., Mcintosh, A., Emanuelsson, G., Johansson, B. y Yang, D.C. (1999). Assessing number sense of students in Australia, Sweden, Taiwan, and the United States. School Science and Mathematics, 99(2), pp. 61-70. http://dx.doi.org/10.1111/j.1949-8594.1999.tb17449.x Sowder, J. (1992). Estimation and number sense. En D. Grouws (ed.). Handbook of Research on Mathematics Teaching and Learning, pp. 245-275. MacMillan Publishing Company. New York. Tsao, Y. (2004). Exploring the connections among number sense, mental computation performance, and the written computation performance of elementary preservice school teachers. Journal of College Teaching and Learning, 1(12), pp. 71-90. Veloo, P.K. (2010). The development of number sense and mental computation proficiencies: An intervention study with secondary one students in Brunei Darussalam. Doctor Ph. University of Otago, Dunedin. New Zealand. Wagner, D. y Davis, B. (2010). Feeling number: grounding number sense in a sense of quantity. Educational studies in Mathematics, 74, pp. 39-51. http://dx.doi.org/10.1007/s10649-009-9226-9 Yang, D. C. (2005). Number sense strategies used by 6th grade students in Taiwan. Educational Studies, 31(3), pp. 317-333. http://dx.doi.org/10.1080/03055690500236845 Yang, D.C., Li, M.N. y Lin, C.I. (2008). A study of the performance of 5th graders in number sense and its relationship to achievement in mathematics. International Journal of Science and Mathematics Education, 6, pp. 789-807. http://dx.doi.org/10.1007/s10763-007-9100-0 Yang, D.C., Reys, R. y Reys, B.J. (2009). Number sense strategies used by pre-service teachers in Taiwan. International Journal of Science and Mathematics Education, 7, pp. 383-403. http://dx.doi.org/10.1007/s10763-007-9124-5