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Articles

The Effectiveness of Teaching Geometry to Enhance Mathematical Understanding in Children with Down Syndrome

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References

  • Abdelhameed, H. (2007). Do children with Down syndrome have difficulty in counting and why? International Journal of Special Education, 22(2), 129–139.
  • Ayala Carabajo, R. (2008). La metodología fenomenológico-hermenéutica de Max Van Manen en el campo de la investigación educativa. Posibilidades y primeras experiencias [Max Van Manen’s hermeneutic-phenomenological methodology in the field of educational research. Potentials and first experiences]. Revista de Investigación Educativa, 26(2), 409–430.
  • Bird, G., & Buckley, S. (2001). Number skills for individual with Down syndrome: An overview. Portsmouth, UK: The Down syndrome Educational Trust.
  • Bruno, A., & Noda, A. (2012). Estudio de un alumno con síndrome de Down en la comprensión del sistema decimal [Study of a student with Down syndrome in the understanding of the decimal system]. Educación matemática en la infancia, 1(2), 5–22.
  • Bruno, A., Noda, A., Gonzalez, C., Moreno, L., & Sanabria, H. (2011). Addition and substraction by students with Down syndrome. International Journal of Mathematical Education in Science and Technology, 42, 13–35.
  • Buckley, S. (2007). Teaching numeracy. Down Syndrome Research and Practice, 12(1), 11–14.
  • Colella, I. (2014). Un catalogo di attività matematica prima della scrittura [A catalog of mathematical activity before writing]. Relazione finale di tirocinio in Scienze della Formazione Primaria. Roma: Università degli Studi Roma Tre.
  • Corsaro, W. (2010). The sociology of childhood. Thousand Oaks, CA: Pine Froge Press.
  • Donaldson, M. (1978). Children’s minds. Londres: Croom Helm.
  • Enriques, F. (1938). Le matematiche nella storia e nella cultura [Mathematics in history and culture]. Bologna: Zanichelli.
  • Faragher, R., & Brown, R. I. (2005). Numeracy for adults with Down syndrome: It’s a matter of quality of life. Journal of Intellectual Disability Research, 49(10), 761–765.
  • Faragher, R., & Clarke, B. (eds). (2014). Educating learners with Down syndrome. New York: Routledge.
  • Fuson, K. (1988). Children’s counting and concepts of number. New York: Springer-Verlag.
  • Gil Clemente, E. (2016). Didáctica de las matemáticas para niños con síndrome de Down a partir de una visión integrada de la aritmética y geometría elementales [Teaching mathematics for children with Down syndrome from an integrated view of elementary arithmetic and geometry] ( Unpublished Ph.D. thesis). Universidad de Zaragoza, Zaragoza.
  • Giusti, E. (1999). Ipotesi sulla natura degli enti matematici [Hypotheses on the nature of mathematical entities]. Torino: Bollati Boringhieri.
  • Halliwel, S. (2002). The aesthetics of mimesis. Ancient texts and modern problems. Princeton: Princeton University Press.
  • Hilbert, D. (1902). The foundations of geometry. Chicago, IL: The Open Court Publishing Company.
  • Hufferd-Ackles, K., Fuson, K. C., & Sherin, M. G. (2004). Describing levels and components of a math-talk community. Journal for Research in Mathematics Education, 35(2), 81–116.
  • Hughes, M. (1986). Children and numbers, difficulties in learning mathematics. Oxford: Basil Blackwell.
  • Israel, G. (2011). La natura degli oggetti matematici alla luce del pensiero di Husserl [The nature of mathematical objects in light of Husserl’s thinking]. Genova-Milano: Marietti.
  • Israel, G., & Millán Gasca, A. (2012). Pensare in matemática [Think mathematics]. Bologna: Zanichelli.
  • Lafforgue, L. (2007). Le calcul à l’école primaire [Calculus in elementary school], preprint. Retrieved from https://www.laurentlafforgue.org/textes/CalculEcolePrimaireLL.pdf
  • Lafforgue, L. (2010). L’importance du calcul et de la géométrie à l’école primaire [The importance of calculus and geometry in elementary school]. preprint, Journées “Trans-maître”: Instruir aujourd’hui à l’école primaire. Retrieved from https://www.laurentlafforgue.org/textes/ImportanceCalculGeometrie.pdf
  • Millán Gasca, A. (2015). Mathematics and children’s minds: The role of geometry in the European tradition from Pestalozzi to Laisant. Archives internationales d’histoire des sciences, 65(2), 175, 261–277.
  • Millán Gasca, A. (2016). Numeri e Forme [Numbers and shapes]. Bologna: Zanichelli.
  • Millán Gasca, A., Gil Clemente, E., & Colella, I. (2017). Combining historical, foundational, and developmental insights to build children’s first steps in mathematics. In T. Dooley & G. Gueudet (Eds.), Proceedings of the tenth congress of the European society for research in mathematics education (CERME10, February 1–5, 2017) 1977–1884. Dublin, Ireland: DCU Institute of Education and ERME.
  • Monari Martinez, E. (2002). Learning mathematics at school…and later on. Down Syndrome News and Update, 2(1), 19–23.
  • Monari Martinez, E., & Benedetti, N. (2011). Learning mathematics in mainstream secondary schools: Experiences of students with Down syndrome. European Journal of Special Needs Education, 26(4), 531–540.
  • Monari Martinez, E., & Pellegrini, K. (2010). Algebra and problem-solving in Down syndrome: A study with 15 teenagers. European Journal of Special Needs Education, 25(1), 13–29.
  • Poincaré, H. (1902). La science et l´hypothèse [Science and hypohesis]. Paris: Flammarion.
  • Porter, J. (1998). The understanding of counting in children with severe learning difficulties and nursery children. Bristish Journal of Educational Psychology, 68, 331–345.
  • Postic, M., & De Ketele, J. M. (1988). Observer les situations éducatives [Observe educational situations]. Paris: Presses Universitaires de France.
  • Rachele, A. (2014) Mimesis e matematica nel mondo infantile. Esperienze di formazione tra bambini e adulti [Mimesis and mathematics in the world of children. Training experiences between children and adults], MimesisLab–Laboratorio di Pedagogia dell’Espressione, http://host.uniroma3.it/laboratori/mimesislab/ri_at_mimesisematematica.php
  • Scaramuzzo, G. (2010). Paideia mimesis. Attualità e urgenza di una riflessione inattuale [Paideia mimesis. Present and urgency of an inadequate reflection.]. Roma: Anicia.
  • Scaramuzzo, G. (2013). Mimesis: Dalla riflessione teorética alla prassi educativa [Mimesis: From a theoretical reflection to educational practice]. Studi sulla formazione, 1, 227–238.
  • Schiopetti, V. (2013), Le concezioni geometriche ingenue e la Scuola dell’Infanzia [The naive geometrical conceptions and the primary school]. Relazione finale di tirocinio. Roma: Università degli Studi Roma Tre.
  • Séguin, E. (1839). Conseils à M.O…sur léducation de son fils [Advise to M.O…on the education of his son]. Paris: J.B. Baillieère.
  • Séguin, E. (1846). Traitement moral des idiots et des autres enfants arrieérés [Moral treatment of idiots and other slow children]. Paris: J.B. Baillieère.
  • Séguin, E. (1866). Idiocy and its treatment by the physiological method. New York: Augustus M. Kelley.
  • Thom, R. (1971). Modern Mathematics: An educational and philosophic error? American Scientist, 59, 695–699.
  • Tomasello, M. (2003). Constructing a language: A usage-based theory of language acquisition. Cambridge, MA: Harvard University Press.
  • Van Manen, M. (2003). Investigación educativa y Experiencia vivida. Ciencia humana para una pedagogía de la acción y de la sensibilidad [Educational research and lived experience. Human science for a pedagogy of action and sensitivity]. Barcelona: Idea Books.
  • Zimpel, A. (2016). Trisomy 21: What we can learn from people with Down syndrome. Göttingen: Vandenhoeck & Ruprecht.

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