Skip to main content

Mathematics Learning and Its Difficulties: The Cases of Chile and Uruguay

  • Chapter
  • First Online:
International Handbook of Mathematical Learning Difficulties

Abstract

The aim of this chapter is to present the developmental situation of Chile and Uruguay in terms of mathematics learning, and the difficulties arising as a result of a deficiency in this subject. We will begin by reviewing the available performance statistics for mathematics provided by a number of international studies. Both countries present similar levels of performance and are subject to the mediating effects of socio-economic and gender variables, as will be covered in the coming sections. The segregation factor present in the two countries makes students with specific learning difficulties more vulnerable, and each country manifests differing levels of development in terms of the presence of education policies that respond effectively to these groups. Chile has subscribed to the new diagnosis and intervention trends of preventive models, however there are still some obstacles to their successful application in the field of school education. Uruguay, in turn, is striving towards a solution to the problem of education and presenting some promising initiatives. To a certain degree, the status of school education is an indication of the level of advancement in research. Studies are still few and far between given this early stage of change, however the signs point to exponential growth within a few years, as we will see in this chapter.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 279.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Administración Nacional de Educación Pública. (2008). Programa de Educación Inicial y Primaria. Uruguay: Autor

    Google Scholar 

  • Al Otaiba, S., Wagner, R. K., & Miller, B. (2014). “Waiting to fail” Redux. Learning Disability Quarterly, 37(3), 129–133. https://doi.org/10.1177/0731948714525622

    Article  Google Scholar 

  • American Psychiatric Association. (2013). Diagnostic and statistical manual of mental disorders (5th ed.). Arlington, VA: American Psychiatric Publishing.

    Book  Google Scholar 

  • ANEP-CEP-ASSE-INAU-MIDES-INFAMILIA. (2008). Proyecto Inter-In. Atención intersectorial e interdisciplinaria para el desarrollo y el aprendizaje, la promoción de derechos y el fortalecimiento de las instituciones educativas. Montevideo. Recuperado el 8 de Julio de 2017, desde www.ceip.edu.uy/documentos/2014/ped//proyecto_interin.pdf

  • Balbi, A., Ruiz, C., & García, P. (2017). ¿Hay diferencias en la habilidad del docente para identificar dificultades en cálculo y en lectura? Revista Neuropsicología Latinoamericana, 9(1), 47–55.

    Google Scholar 

  • Bravo, L., Cuadro, A., Mejía, L., & Eslava, J. (2009) Trastornos del Aprendizaje: Investigaciones psicológicas y psicopedagógicas en diversos países de Sud América, Ciencias Psicológics, III(2), 203–218.

    Google Scholar 

  • Bravo Sanzana, M., Salvo Garrido, S., & Muñoz Poblete, C. (2015). Profiles of Chilean students according to academic performance in mathematics: An exploratory study using classification trees and random forests. Studies in Educational Evaluation, 44, 50–59. https://doi.org/10.1016/j.stueduc.2015.01.002

    Article  Google Scholar 

  • Butterworth, B. (2002). Screening for dyscalculia: A new approach. Paper Presented at the Mathematical Difficulties: Psychology, Neuroscience, and Interventions Conference. England, UK: Oxford. Available: www.mathematicalbrain.com/pdf/

  • Butterworth, B., Varma, S., & Laurillard, D. (2011). Dyscalculia: From brain to education. Science, 332(6033), 1049–1053. https://doi.org/10.1126/science.1201536

    Article  Google Scholar 

  • Centro de Investigación Básica en Psicología. (n.d.). Cognición Numérica. Recuperado el 10 de Julio de 2017, desde. http://cibpsi.psico.edu.uy/es/investigacion/lineas-de-investigacion/cognici%C3%B3n-num%C3%A9rica

  • Cerda Etchepare, G., Pérez Wilson, C., Moreno Araya, C., Núñez Risco, K., Quezada Herrera, E., Rebolledo Rojas, J., & Sáez Tisnao, S,.(2012). Adaptación de la versión española del Test de Evaluación Matemática Temprana de Utrecht en Chile. Estudios Pedagógicos, 38(1), 235–253.

    Article  Google Scholar 

  • Cerda, G., Pérez, C., Navarro, J. I., Aguilar, M., Casas, J. A., & Aragón, E. (2015). Explanatory model of emotional-cognitive variables in school mathematics performance: A longitudinal study in primary school. Frontiers in Psychology, 6, 1363. https://doi.org/10.3389/fpsyg.2015.01363

    Article  Google Scholar 

  • Cirino, P., Elias, J., Fuchs, L., Schumacher, R., & Powell, S. (2015). Cognitive and mathematical profiles for different forms of learning difficulties. Journal of Learning Disabilities, 48(2), 156–175.

    Article  Google Scholar 

  • Compton, D. L., Fuchs, D., Fuchs, L. S., Bouton, B., Gilbert, J. K., Barquero, L. A., Cho, E., & Crouch, R. C. (2010). Selecting at-risk first-grade readers for early intervention: Eliminating false positives and exploring the promise of a two-stage gated screening process. Journal of Educational Psychology, 102(2), 327–340. https://doi.org/10.1037/a0018448

    Article  Google Scholar 

  • Consejo de Educación Inicial y Primaria. (2013). La red de escuelas y jardines de infantes inclusivos. Montevideo. Recuperado el 7 de Julio de 2017, desde. http://ceip.edu.uy/educaci%C3%B3n-inclusiva/1647-la-red-de-escuelas-y-jardines-inclusivos

  • Consejo de Educación Inicial y Primaria. (2016). Nuevos materiales de enseñanza: Cuadernos para hacer matemática. Recuperado el 7 de julio de 2017, desde. http://www.cep.edu.uy/prensa/1720-nuevos-materiales-de-ense%C3%B1anza-cuadernos-para-hacer-matem%C3%A1tica

  • Crespo, P., Jiménez, J. E., Rodríguez, C., & Baker, D. L. (2018). Differences in Growth Reading Patterns for atrisk Spanish-Monolingual Children as a Function of a Tier 2 Intervention. The Spanish Journal of Psychology, 21(4), 1–16.

    Google Scholar 

  • De Almeida, M., de Medeiros, M., & Borsel, J. (2013). Avaliação do conhecimento sobre a discalculia entre educadores. Audiology - Communication Research, 18(2), 93–100.

    Article  Google Scholar 

  • Decreto 170. (2009, 14, Mayo). Decreto con toma de razón N° 170. Fija normas para determinar los alumnos con necesidades educativas especiales que serán beneficiarios de las subvenciones para educación especial. Santiago.

    Google Scholar 

  • del Río, M. F., Susperreguy, M. I., Strasser, K., & Salinas, V. (2017). Distinct influences of mothers and fathers on kindergartners’ numeracy performance: The role of math anxiety, home numeracy practices, and numeracy expectations. Early Education and Development, 1–17. https://doi.org/10.1080/10409289.2017.1331662

    Article  Google Scholar 

  • Flotts, M. P., Manzi, J., Jiménez, D., Abarzúa, A., Cayuman, C., & García, M. J. (2016). Informe de Resultados: tercer estudio regional comparativo explicativo (TERCE) Paris: Organización de las Naciones Unidas para la Educación, la Ciencia y la Cultura.

    Google Scholar 

  • Friz Carrillo, M., Sanhueza Henríquez, S., & Sánchez Bravo, A. (2009). Conocimiento que poseen los estudiantes de pedagogia en dificultades de aprendizaje de las matematicas (DAM). Estudios Pedagógicos, 53(1), 45–62.

    Google Scholar 

  • Fuchs, L. S., & Fuchs, D. (2007). A model for implementing responsiveness to intervention. Teaching Exceptional Children, 39(5), 14–20. https://sci-hub.tw/10.1177/004005990703900503

    Article  Google Scholar 

  • Gersten, R., Clarke, B., & Mazzocco, M. (2007). Chapter 1: Historical and contemporary perspectives on mathematical learning disabilities. In D. B. Berch & M. M. M. Mazzocco (Eds.), Why is math so hard for some children? The nature and origins of mathematical learning difficulties and disabilities (pp. 7–29). Baltimore: Paul H. Brooks Publishing Company.

    Google Scholar 

  • González, M., Kittredge, A., Sánchez, I., Fleischer, B., Spelke, E., & Maiche, A. (2016). CARD GAMES: A way to improve math skills through stimulating ANS. Neuro Educação, 8, 34–36.

    Google Scholar 

  • Good, R. H., Simmons, D. C., & Kame’enui, E. J. (2001). The Importance and Decision-Making Utility of a Continuum of Fluency-Based Indicators of Foundational Reading Skills for Third-Grade High-Stakes Outcomes. Scientific Studies of Reading, 5(3), 257–288. http://sci-hub.tw/10.1207/S1532799XSSR0503_4

    Article  Google Scholar 

  • Hill, D. R., King, S. A., Lemons, C. J., & Partanen, J. N. (2012). Fidelity of Implementation and Instructional Alignment in Response to Intervention Research. Learning Disabilities Research & Practice, 27(3), 116–124. http://sci-hub.tw/10.1111/j.1540-5826.2012.00357.x

    Article  Google Scholar 

  • Ho Kheong, F., Ramakrishnan, C., & Choo, M. (2011). Pensar sin Límites. Matemática Método Singapur. Singapore, Singapore: Marshall Cavendish Education.

    Google Scholar 

  • INEEd. (2015). Habilidades no-cognitivas y desempeños en matemática entre los estudiantes uruguayos evaluados en PISA 2012. INEEd, Montevideo.

    Google Scholar 

  • INEEd. (2016). Los maestros recientemente egresados. ¿Cuáles son sus perspectivas sobre su formación y la primera etapa de la vida profesional?, INEEd, Montevideo

    Google Scholar 

  • INEEd. (2017). Informe sobre el estado de la educación en Uruguay 2015–2016, INEEd, Montevideo.

    Google Scholar 

  • Jiménez-Fernández, G. (2016) How can I help my students with learning disabilities in Mathematics? REDIMAT, 5 (1), 56–73.doi:10.4471/redimat.2016.1469.

    Google Scholar 

  • Kaufmann, L., & von Aster, M. (2012). The diagnosis and management of dyscalculia. Deutsches Ärzteblatt International, 109(45), 767–77; quiz 778. http://sci-hub.tw/10.3238/arztebl.2012.0767

  • Kuhn, J. T. (2015). Developmental dyscalculia. Neurobiological, cognitive and developmental perspectives. Seitschrift für Psychologie, 223(2), 69–82.

    Article  Google Scholar 

  • Landerl, K., & Moll, K. (2010). Comorbidity of learning disorders: Prevalence and familial transmission. Journal of Child Psychology and Psychiatry, 51(3), 287–294.

    Article  Google Scholar 

  • Ley General de Educación. (2008). No. 18437. Montevideo. Recuperado el 6 de Julio de 2017, desde http://www.ces.edu.uy/ces/index.php?option=com_content&view=article&id=569%3Aley-no-18437-ley-general-de-educacion-160109&Itemid=78

    Google Scholar 

  • LLECE. (2014). Primera entrega de resultados TERCE, OREALC/UNESCO, Santiago de Chile.

    Google Scholar 

  • LLECE. (2015). Informe de resultados Tercer Estudio Regional, Comparativo y Explicativo. Cuadernillo n° 3. Factores asociados. OREALC/UNESCO, Santiago de Chile.

    Google Scholar 

  • MEC-MIDES. (2017). Protocolo de actuación para la inclusión de las personas con discapacidad en los centros educativos. Montevideo. Recuperado el 6 de Julio de 2017, desde. http://www.mec.gub.uy/innovaportal/file/102366/1/protocolo-de-inclusion.pdf

  • MINEDUC. (2012a). Diferencias actitudinales entre hombres y mujeres en matemática. Agencia de Calidad de la Educación. Unidad de Análisis de los resultados de la prueba pisa 2012. http://archivos.agenciaeducacion.cl/documentos-web/Papers/2013_12_Diferencias_actitudinales_entre_hombres_y_mujeres_en_matematica_resultados_Prueba_PISA_2012.pdf

  • MINEDUC. (2012b). Informe nacional resultados chile pisa 2012. Agencia de Calidad de la Educación. http://archivos.agenciaeducacion.cl/Informe_Nacional_Resultados_Chile_PISA_2012.pdf

  • MINEDUC. (2013a). Crecer en calidad y Equidad. Agencia de Calidad de la Educación. http://www.agenciaeducacion.cl/wp-content/uploads/2013/02/crecer_en_equidad.pdf

  • MINEDUC. (2013b). “Análisis de la Implementación de los Programas de Integración Escolar (PIE) en Establecimientos que han incorporado Estudiantes con Necesidades Educativas Especiales Transitorias NEET” http://portales.mineduc.cl/usuarios/edu.especial/doc/201402101720120.ResumenEstudioImplementacionPIE2013.pdf

  • MINEDUC. (2015a). Resultados TIMMS Chile. Estudio internacional de tendencias en Matemática y Ciencias. Agencia de Calidad de la Educación. http://archivos.agenciaeducacion.cl/TIMMS_presentacion_BAJA.pdf

  • MINEDUC. (2015b). Evolución de las brechas socioeconómicas de rendimiento en pruebas SIMCE. http://www.agenciaeducacion.cl/wpontent/uploads/2016/02/Evolucion_brechas_socioeconomicas_de_rendimiento_en_pruebas_Simce.pdf

  • MINEDUC. (2016). Resultados Educativos 2016. Agencia de Calidad de la Educación. http://archivos.agenciaeducacion.cl/ResultadosNacionales2016_.pdf

  • Ministerio De Planificación. (2010). Ley 20422. Establece normas sobre igualdad de oportunidades e Inclusión social de personas con discapacidad [Law 20422. To establish norms on equility of opportunities and social inclusion for people with disabilities]. Santiago de Chile: Ministerio De Planificación

    Google Scholar 

  • Ministerio de Salud Pública. (2012). Derechos de los Usuarios de la Salud. Montevideo, Uruguay: MSP: Montevideo.

    Google Scholar 

  • Moeller, K., Fischer, U., Cress, U., & Nuerk, H. C. (2012). Diagnostics and intervention in developmental dyscalculia: Current issues and novel perspectives. In Reading, writing, mathematics and the developing brain: Listening to many voices (pp. 233–275). Springer Netherlands.

    Google Scholar 

  • Mullis, I. V. S., Martin, M. O., Foy, P., & Hooper, M. (2016). TIMSS 2015 international results in mathematics. Retrieved from Boston College, TIMSS & PIRLS International Study Center website: http://timssandpirls.bc.edu/timss2015/international-results/

  • Murphy, M., Mazzocco, M., Hanich, L., & Early, M. (2007). Cognitive characteristics of children with mathematics learning disability (MLD) vary as a function of the cutoff criterion used to define MLD. Journal of Learning Disabilities, 40(5), 458–478.

    Article  Google Scholar 

  • OCDE (2010) PISA 2009 results: What Makes a School Successful?: Resources, Policies and Practices (Volume IV), OCDE, París.

    Google Scholar 

  • OECD (2010) The High Cost of Low Educational Performance: The Long-Run Economic Impact of Improving Educational Outcomes Paris. Paris: OECD Publishing.

    Google Scholar 

  • OCDE (2014) PISA 2012 Results: What Students Know and Can Do: Student Performance in Mathematics, Reading and Science (Volume I, Revised edition), OCDE, París.

    Google Scholar 

  • OECD (2016) PISA 2015 Result (Volume I): Excellence and Equity in Education. Paris: OECD Publishing.

    Google Scholar 

  • Odick, D., Valle Lisboa, J., Eisinger, R., Gonzalez, M., Maiche, A., & Halberda, J. (2015). Approximate number and approximate time discrimination each correlate with school math abilities in young children. Acta Psychologica, 163, 17–26. https://doi.org/10.1016/j.actpsy.2015.10.010

    Article  Google Scholar 

  • Peake, C., Jimenez, J. E., Rodriguez, C., Bisschop, E., & Villarroel, R. (2015). Syntactic Awareness and Arithmetic Word Problem Solving in Children With and Without Learning Disabilities. Journal of Learning Disabilities, 48(6), 593–601. http://sci-hub.tw/10.1177/0022219413520183

    Article  Google Scholar 

  • Plan Ceibal. (n.d.). PAM. Plataforma Adaptativa de Matemática. Montevideo. Recuperado el 7 de Julio de 2017, desde http://www.ceibal.edu.uy/es/pam

  • Rodríguez, C., Baker, D., Sepúlveda, F., & Bizama. (2017). Desarrollo de habilidades lectora y numéricas: dificultades en lectura y matemáticas y su comorbilidad. Paper presented at the Cuarto Congreso Interdisciplinario de Investigación en Educación (CIIE 2017). Chile: ACHIE.

    Google Scholar 

  • Rodríguez, C., & Jimenez, J. E. (2016). What cognitive and numerical skills best define learning disabilities in mathematics? Estudios de Psicología, 37(1). http://sci-hub.tw/10.1080/02109395.2015.1129825

    Article  Google Scholar 

  • Rosas, R., Tenoria, M., & Garate, R. A. (2010). La Neuropsicología en Chile. Revista Neuropsicología, Neuropsiquiatría y Neurociencias., 9(2), 35–46.

    Google Scholar 

  • Shin, M., & Bryant, D. (2015). A synthesis of mathematical and cognitive performances of students with mathematics learning disabilities. Journal of Learning Disabilities, 48(1), 96–112.

    Article  Google Scholar 

  • Singer, V., & Cuadro, A. (2014). Propiedades psicométricas de una prueba experimental para la evaluación de la eficacia del cálculo aritmético básico. Estudios de Psicología, 35(1), 183–192.

    Article  Google Scholar 

  • Singer, V., Cuadro, A., Costa, D., & Von Hagen, A. (2014). Manual Técnico del Test de Eficacia del Cálculo Aritmético. Montevideo, Uruguay: Magro Editores.

    Google Scholar 

  • Singer, V. y Strasser, K. (2017). The association between arithmetic and reading performance in school: A meta-analytic study. School Psychology Quarterly. https://doi.org/10.1037/spq0000197.

    Article  Google Scholar 

  • Taut, S., Cortés, F., Sebastian, C., & Preiss, D. (2009). Evaluating school and parent reports of the national student achievement testing system (SIMCE) in Chile: Access, comprehension, and use. Evaluation and Program Planning, 32(2), 129–137. https://doi.org/10.1016/j.evalprogplan.2008.10.004.

    Article  Google Scholar 

  • Tran, L., Sanchez, T., Arellano, B., & Lee Swanson, H. (2011). A Meta-Analysis of the RTI Literature for Children at Risk for Reading Disabilities. Journal of Learning Disabilities, 44(3), 283–295. https://doi.org/10.1177/0022219410378447

    Article  Google Scholar 

  • United Nations Development Programme. (2007). Human development report 2016: Human Development for everyone. New York: United Nations Development Programme (UNDP).

    Google Scholar 

  • Valle Lisboa, J., Cabana, A., Eisenger, R., Mailhos, A., Luzardo, M., Halberda, J., et al. (2017). Cognitive abilities that mediate the effect of SES on elementary symbolic mathematics learning in the Uruguayan tablet based intervention. Prospects Comparative Journal of Curriculum, Learning, and Assessment, 47(1), 1–15.

    Google Scholar 

  • Valle-Lisboa, J., Mailhos, A., Eisinger, R., Halberda, J., Gonzalez, M., Luzardo, M., et al. (2015) Estimulación cognitiva a escala poblacional utilizando tabletas. Del sistema numérico aproximado (ANS) a la matemática simbólica. En: Lipina, S., Sigman, M. y Fernández Slezak, D. Pensar las TIC desde la ciencia cognitiva y la neurociencia. Buenos Aires: Gedisa editorial.

    Google Scholar 

  • VanDerHeyden, A. M., Witt, J. C., & Gilbertson, D. (2007). A multi-year evaluation of the effects of a response to intervention (RTI) model on identification of children for special education. Journal of School Psychology, 45(2), 225–256. https://doi.org/10.1016/j.jsp.2006.11.004

    Article  Google Scholar 

  • Vukovic, R., & Lesaux, N. (2013). The relationship between linguistic skills and arithmetic knowledge. Learning and Individual Differences, 23(1), 87–91.

    Article  Google Scholar 

  • Wadlington, E., & Wadlington, P. (2008). Helping students with mathematical disabilities to succeed. Preventing School Failure, 53(1), 2–7. https://doi.org/10.3200/PSFL.53.1.2-7

    Article  Google Scholar 

  • Williams, S. P. (2006). Independent Review of Mathematics Teaching in Early Years Settings and Primary Schools. Final report. U.K.: Department for Children, Schools and Families.

    Google Scholar 

  • Wilson, A. J., Andrewes, S. G., Struthers, H., Rowe, V. M., Bogdanovic, R., & Waldie, K. E. (2015). Dyscalculia and dyslexia in adults: Cognitive bases of comorbidity. Learning and Individual Differences, 37, 118–132. https://sci-hub.tw/10.1016/j.lindif.2014.11.017

    Article  Google Scholar 

  • Wu, S. S., Barth, M., Amin, H., Malcarne, V., & Menon, V. (2012). Math Anxiety in Second and Third Graders and Its Relation to Mathematics Achievement. Frontiers in Psychology, 3, 162. https://sci-hub.tw/10.3389/fpsyg.2012.00162

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cristina Rodríguez .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer International Publishing AG, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Rodríguez, C., Cuadro, A., Ruiz, C. (2019). Mathematics Learning and Its Difficulties: The Cases of Chile and Uruguay. In: Fritz, A., Haase, V.G., Räsänen, P. (eds) International Handbook of Mathematical Learning Difficulties. Springer, Cham. https://doi.org/10.1007/978-3-319-97148-3_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-97148-3_14

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-97147-6

  • Online ISBN: 978-3-319-97148-3

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics