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Deaf Students Learning Mathematics: Interactive Patterns, Participation, and Inclusion

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Inside the Mathematics Class

Part of the book series: Advances in Mathematics Education ((AME))

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Abstract

The inclusion of students who need specialised educational and social support has led to an increasing diversity in Portuguese mainstream schools. National and international educational policy documents highlight the need to promote an inclusive education that entails new challenges to the teachers. However, barriers are still part of the school path of those who need support, e.g. deaf students. Taking an interpretative approach, we developed two intrinsic case studies. We focused on the adaptations that allowed two deaf 12th grade students to learn mathematics with their classmates. The participants were these two deaf students, their classmates, and their mathematics and special education teachers. Data collecting instruments were observation, interviews, informal conversations, students’ protocols, and documents. The data was analysed through a narrative content analysis from which inductive categories emerged. Results focus on five interactive patterns observed in classes. Several examples illuminate how they facilitated the mathematics communication and learning processes of these two deaf students as well as their inclusion inside and outside school.

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Notes

  1. 1.

    All names have been replaced by pseudonyms in order to guarantee anonymity.

  2. 2.

    Mariana’s 1st interview, November 19, 2008

  3. 3.

    14th observed lesson, April 29, 2009.

  4. 4.

    7th observed lesson, March 4, 2009

  5. 5.

    3rd observed lesson, January 14, 2009

  6. 6.

    16th observed lesson, May 20, 2009

  7. 7.

    9th observed lesson, March 25, 2009

References

  • Abrantes, P., Serrazina, L., & Oliveira, I. (1999). A matemática na educação básica. Lisbon: Ministério da Educação.

    Google Scholar 

  • Abreu, G. de, Bishop, A., & Presmeg, N. C. (2002). Transitions between contexts of mathematical practices. Dordrecht: Kluwer.

    Book  Google Scholar 

  • Ainscow, M., & César, M. (2006). Inclusive education ten years after Salamanca: Setting the agenda. European Journal of Psychology of Education, 21(3), 231–238.

    Article  Google Scholar 

  • Allan, J., & Slee, R. (2008). Doing inclusive education research. Rotterdam: Sense.

    Google Scholar 

  • Alrø, H., Ravn, O., & Valero, P. (Eds.). (2010). Critical mathematics education: Past, present and future. Festschrift for Ole Skovsmose. Rotterdam: Sense.

    Google Scholar 

  • Bakhtin, M. (1929/1981). The dialogical imagination. Austin: University of Texas Press.

    Google Scholar 

  • Borges, I. (2009). Alunos surdos e a matemática: Dois estudos de caso, no 12.° ano de escolaridade do ensino regular. Lisbon: Associação de Professores de Matemática.

    Google Scholar 

  • Borges, I. (2017). Inclusão, transições e matemática: Dois estudos de caso sobre os percursos académicos de dois estudantes surdos. PhD thesis, Universidade Nova de Lisboa.

    Google Scholar 

  • Borges, I., & César, M. (2012). Eu leio, tu ouves, nós aprendemos: Experiências de aprendizagem matemática e vivências de inclusão de dois estudantes surdos, no ensino regular. Interacções, 8(20), 141–180.

    Google Scholar 

  • Borges, I., César, M., & Matos, J. M. (2012). Two deaf students attending a mainstream mathematics class: Challenging the interaction and collaboration between home and school. In J. Díez-Palomar & C. Kanes (Eds.), Family and community in and out of the classroom: Ways to improve mathematics’ achievement (pp. 77–88). Bellaterra: Universitat Autònoma de Barcelona.

    Google Scholar 

  • César, M. (2009). Listening to different voices: Collaborative work in multicultural maths classes. In M. César & K. Kumpulainen (Eds.), Social interactions in multicultural settings (pp. 203–233). Rotterdam: Sense.

    Google Scholar 

  • César, M. (2012). Educação especial: Pequenos passos, alguns retrocessos e muito caminho para andar. Interacções, 8(21), 68–94.

    Google Scholar 

  • César, M. (2013). Collaborative work, dialogical self and inter-/intra-empowerment mechanisms: (Re)constructing life trajectories of participation. In M. B. Ligorio & M. César (Eds.), Interplays between dialogical learning and dialogical self (pp. 151–192). Charlotte: IAP.

    Google Scholar 

  • César, M. (2014). Inter- and intra-empowerment mechanisms: Contributions to mathematical thinking and achievement. In T. Zittoun & A. Iannaccone (Eds.), Activities of thinking in social spaces (pp. 167–186). Hauppauge: Nova Science.

    Google Scholar 

  • César, M. (2017). Travail collaboratif et processus d’enseignement et d’apprentissage des mathématiques: L’importance des mécanismes d’inter- et intra-empowerment. In M. Giglio & F. Arcidiacono (Eds.), Les interactions sociales en classe: Réflexions et perspectives (pp. 35–53). Bern: Peter Lang.

    Google Scholar 

  • César, M., & Santos, N. (2006). From exclusion to inclusion: Collaborative work contributions to more inclusive learning settings. European Journal of Psychology of Education, 21(3), 333–346.

    Article  Google Scholar 

  • César, M., Machado, R., & Ventura, C. (2014). Praticar a inclusão e não apenas falar de inclusão. Interacções, 10(33), 18–72.

    Google Scholar 

  • Clandinin, D. J., & Connelly, F. M. (1998). Personal experience methods. In N. K. Denzin & Y. S. Lincoln (Eds.), Collecting and interpreting qualitative materials (pp. 150–178). Thousand Oaks: Sage.

    Google Scholar 

  • Clapton, J. (2009). A transformatory ethic of inclusion: Rupturing concepts of disability and inclusion. Rotterdam: Sense.

    Google Scholar 

  • Curado, A. P., & Oliveira, V. (2010). Estudantes com necessidades educativas especiais na universidade de Lisboa. Lisbon: Universidade de Lisboa.

    Google Scholar 

  • de Almeida, A. N. (2009). Os estudantes à entrada da universidade de Lisboa: 2008/09. Lisbon: OPEST – Universidade de Lisboa.

    Google Scholar 

  • Denzin, N. (2002). The interpretative process. In A. Huberman & M. Miles (Eds.), The qualitative researchers companion (pp. 349–366). Thousand Oaks: Sage.

    Google Scholar 

  • Healy, L., Ramos, E., Fernandes, S., & Peixoto, J. (2016). Mathematics in the hands of deaf learners and blind learners: Visual-gestural-somatic means of doing and expressing mathematics. In R. Barwell, P. Clarkson, A. Halai, M. Kazima, J. Moschkovich, et al. (Eds.), Mathematics education and language diversity: The 21st ICMI study (pp. 47–66). New York: Springer.

    Google Scholar 

  • Lave, J., & Wenger, E. (1991). Situated learning: Legitimate peripheral participation. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Melro, J. (2014). Do gesto à voz: Um estudo de caso sobre a inclusão de estudantes surdos do ensino secundário recorrente noturno. PhD thesis, Universidade de Lisboa.

    Google Scholar 

  • Meyer, M., Prediger, S., César, M., & Norén, E. (2016). Making use of multiple (non-shared) first languages: State of and need for research and development in the European language context. In R. Barwell, P. Clarkson, A. Halai, M. Kazima, J. Moschkovich, et al. (Eds.), Mathematics education and language diversity: The 21st ICMI study (pp. 47–66). New York: Springer.

    Chapter  Google Scholar 

  • National Council of Teachers of Mathematics (NCTM) (2000). Principles and standards for school mathematics. , Reston: NCTM.

    Google Scholar 

  • Nieto, S. (2010). Language, culture, and teaching: Critical perspectives. New York: Routledge.

    Google Scholar 

  • Perret-Clermont, A.-N. (2004). Thinking spaces of the young. In A.-N. Perret-Clermont, C. Pontecorvo, L. Resnick, T. Zittoun, & B. Burge (Eds.), Joining society: Social interaction and learning in adolescence and youth (pp. 3–10). Cambridge: Cambridge University Press.

    Google Scholar 

  • Remedios, L., & Clarke, D. (2009). Cultural origins of patterns of participation in multicultural classrooms. In M. César & K. Kumpulainen (Eds.), Social interactions in multicultural settings (pp. 297–327). Rotterdam: Sense.

    Google Scholar 

  • Rose, R. (2002). The curriculum: A vehicle for inclusion or a lever for exclusion? In C. Tilstone, L. Florian, & R. Rose (Eds.), Promoting inclusive practice (pp. 27–38). London: Routledge Falmer.

    Google Scholar 

  • Roth, W.-M., & Radford, L. (2011). A cultural-historical perspective on mathematics teaching and learning. Rotterdam: Sense.

    Book  Google Scholar 

  • Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Stake, R. E. (1995). The art of case study research. Thousand Oaks: Sage.

    Google Scholar 

  • Timmons, V., & Walsh, P. N. (2010). A long walk to school: Global perspectives on inclusive education. Rotterdam: Sense.

    Google Scholar 

  • Underwood, K. (2008). The construction of disability in our schools: Teachers’ and parents’ perspectives on the experience of labelled students. Rotterdam: Sense.

    Google Scholar 

  • UNESCO. (1994). The Salamanca framework for action. Salamanca: UNESCO.

    Google Scholar 

  • Vygotsky, L. S. (1934/1962). Thought and language. Cambridge, MA: MIT Press.

    Google Scholar 

  • Vygotsky, L. S. (1978). Mind in society: The development of higher psychological functions. Cambridge, MA: Harvard University Press.

    Google Scholar 

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Acknowledgment

Our gratitude goes to the school, teachers, students, and families who contributed to make this work come true, and to Sofia Coelho who edited this paper.

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Borges, I. (2018). Deaf Students Learning Mathematics: Interactive Patterns, Participation, and Inclusion. In: Gellert, U., Knipping, C., Straehler-Pohl, H. (eds) Inside the Mathematics Class. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-79045-9_10

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  • DOI: https://doi.org/10.1007/978-3-319-79045-9_10

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