Influencia del contexto en problemas de multiplicación y divisiónestudio de caso de un alumno con autismo

  1. Polo Blanco, Irene 1
  2. González López, María José 1
  3. Bruno, Alicia 2
  1. 1 Universidad de Cantabria. Departamento de Matemáticas, Estadística y Computación
  2. 2 Universidad de La Laguna. Departamento de Análisis Matemático
Journal:
Siglo Cero: Revista Española sobre Discapacidad Intelectual

ISSN: 2530-0350

Year of publication: 2021

Volume: 52

Issue: 1

Pages: 59-78

Type: Article

DOI: 10.14201/SCERO20215215978 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Siglo Cero: Revista Española sobre Discapacidad Intelectual

Abstract

Students diagnosed with Autism Spectrum Disorders (ASD) usually develop interest in areas that is unusual in its intensity or focus. This paper focuses on the influence of the special interest areas in the problem solving processes of multiplication and division word arithmetic problems, through a single case study with an 11-year-old student diagnosed with ASD and intellectual disability. A questionnaire consisting of 15 problems contextualized in three types of contexts –special interest context, a familiar context and an unfamiliar context– was applied. Following a qualitative method, informal strategies and success in obtaining the solution were registered. The results show that both, the special interest context and the familiar context, determined the success in obtaining the problem solution; the student did not solved any problem in the unfamiliar context; the special interest context led to a greater involvement of the student in the search of the solution, but it did not represent an effective improvement with respect to familiar contexts, since in both contexts the student solved the multiplication and division-grouping problems, but did not solve the partitive-division problems. These findings contribute to completing the existing literature on the educational potential of special interest areas in students diagnosed with ASD.

Bibliographic References

  • ALMUNA SALGADO, F. J. (2017). The role of context and context familiarity on mathematics problems. Relime, 20(3), 265-292.
  • AMERICAN PSYCHIATRIC ASSOCIATION (APA). (2013). Diagnostic and statistical manual of mental disorders (5th ed.). DSM-5. Arlington, VA: American Psychiatric Publishing.
  • BAE, Y. S., CHIANG, H. M. y HICKSON, L. (2015). Mathematical word problem solving ability of children with autism spectrum disorder and their typically developing peers. Journal of Autism Developmental Disorder, 45(7), 2200-2208.
  • BOYD, B. A., CONROY, M. A., MANCIL, G. R., NAKAO, T. y ALTER, P. J. (2007). Effects of circumscribed interests on the social behaviors of children with autism spectrum disorders. Journal of Autism and Developmental Disorders, 37(8), 1550-1561.
  • BROWN, J. P. (2019). Real-world task context: meanings and roles. En G. STILLMAN y J. BROWN (Eds.), Lines of inquiry in mathematical modelling research in education. ICME-13 Monographs. Springer, Cham.
  • CABALLERO, S. (2005). Un estudio transversal y longitudinal sobre los conocimientos informales de las operaciones aritméticas básicas en niños de Educación Infantil. Tesis doctoral. Madrid: UCM.
  • CARPENTER, T., ANSELL, E., FRANKE, M., FENNEMA, E. y WEISBECK, L. (1993). Models of problem solving: a study of kindergarten children’s problem-solving processes. Journal for Research in Mathematics Education, 24(5), 428-441.
  • FERNÁNDEZ BRAVO, J. A. (2007). La enseñanza de la multiplicación aritmética: una barrera epistemológica. Revista Iberoamericana de Educación, 43, 119-130.
  • GEVARTER, C., BRYANT, D., BRYANT, B., WATKINS, L., ZAMORA, C. y SAMMARCO, N. (2016). Mathematics interventions for individuals with autism spectrum disorder: a systematic review. Review Journal of Autism and Developmental Disorders, 3, 224-238.
  • GIARELLI, E., WIGGINS, L. D., RICE, C. E., LEVY, S. E., KIRBY, R. S. y PINTO-MARTIN, J. (2010). Sex differences in the evaluation and diagnosis of autism spectrum disorders among children. Disability and Health Journal, 3(2), 107-116.
  • GRANDIN, T. (2008). Thinking in pictures, expanded edition: my life with autism. London: Vintage Books.
  • GUNN, K. C. y DELAFIELD-BUTT, J. T. (2016). Teaching children with autism spectrum disorder with restricted interests: a review of evidence for best practice. Review of Educational Research, 86(2), 408-430.
  • HART, J. E. y CLEARY, S. (2015). Review of evidence-based mathematics interventions for students with autism spectrum disorders. Education and Training in Autism and Developmental Disabilities, 50, 172-185.
  • HUANG, H. M. E. (2004). The impact of context on children’s performance in solving everyday mathematical problems with real-world settings. Journal of Research in Childhood Education, 18(4), 278-292.
  • IVARS, P. y FERNÁNDEZ, C. (2016). Problemas de estructura multiplicativa: evolución de niveles de éxito y estrategias en estudiantes de 6 a 12 años. Educación Matemática, 28(1), 9-38.
  • KOUBA, V. L. (1989). Children’s solution strategies for equivalent set multiplication and division word problems. Journal for Research in Mathematics Education, 20(2), 147-158.
  • LÓPEZ-IBOR ALIÑO, J. y VALDÉS MIYAR, M. (Dirs.) (2002). DSM-IV-TR. Manual diagnóstico y estadístico de los trastornos mentales. Texto revisado. Barcelona: Masson.
  • MANCIL, G. R. y PEARL, C. E. (2008). Restricted interests as motivators: improving academic engagement and outcomes of children on the autism spectrum. TEACHING Exceptional Children Plus, 4(6), Article 7.
  • MULLIGAN, J. (1992). Children’s solutions to partition problems. En B. SOUTHWELL, R. PERRY y K. OWENS (Eds.), Proc. of the 15th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 410- 420). Sydney: MERGA.
  • MULLIGAN, J. T. y MITCHELMORE, M. C. (1997). Young children’s intuitive models of multiplication and division. Journal for Research in Mathematics Education, 28(3), 309-330.
  • NESHER, P. A. (1988). Multiplicative school word problems. Theoretical approaches and empirical findings. En J. HIEBERT y M. BEHR (Eds.), Number concepts and operations in the middle grades (pp. 19-40). Hillsdale, NJ: Lawrence Erlbaum.
  • RODRÍGUEZ, P., LAGO, M. A, O., CABALLERO, S., DOPICO, C., JIMÉNEZ L. y SOLBES, I. (2008). El desarrollo de las estrategias infantiles. Un estudio sobre el razonamiento aditivo y multiplicativo. Anales de Psicología, 24(2), 240-252.
  • STERN, E. y LEHRNDORFER, A. (1992). The role of situational context in solving word-problems. Cognitive Development, 7, 259-268.
  • VERSCHAFFEL, L., GREER, B. y DE CORTE, E. (2000). Making sense of word problems. Lisse: Swets and Zeitlinger Publishers.
  • VICENTE, S., MANCHADO, E. y VERSCHAFFEL, L. (2018). Solving arithmetic word problems. An analysis of Spanish textbooks. Cultura y Educación, 30(1), 71-104.
  • VICENTE, S. y ORRANTIA, J. (2007). Resolución de problemas y comprensión situacional. Cultura y Educación, 19, 61-85.