Route description in Iwaidja: grammar and conceptualisation of motion

• Edmonds-Wathen, Cris ^[1]
  1. [1] Umeå University

     Umeå University

     Suecia

     
• Localización: PNA: Revista de investigación en didáctica de la matemática, ISSN-e 1887-3987, Vol. 11, Nº. 1, 2016, págs. 53-74
• Idioma: inglés
• DOI: 10.30827/pna.v11i1.6081
• Títulos paralelos:
  • Descripción de ruta en Iwaidja: gramática y conceptualización del movimiento
• Enlaces
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• Resumen
  • español

    Este estudio se centró en el efecto de la gramática de iwaidja, una lengua indígena de Australia, en la conceptualización matemática. Se investigó la descripción de ruta en esta lengua. Conceptos espaciales tales como dirección, altura y el movimiento en relación con otro objeto, se describieron utilizando ejemplos. Diferencias entre el inglés y el iwaidja son usadas para ilustrar el impacto de la gramática en la conceptualización matemática. Las implicaciones consideran cómo la comprensión de estas características gramaticales puede ayudar a los maestros, sobre todo cuando los niños no hablan con fluidez el idioma de la instrucción, así como proporcionar claves para investigaciones translingüística de la cognición matemática.

  • English

    This study focussed on the effect of grammar of Iwaidja, an indigenous Australian language, on mathematical conceptualisation. It investigated route description in Iwaidja. Spatial concepts such as direction, height and movement in relation to another object are briefly described using examples. Differences between English and Iwaidja are used to illustrate the some of the impact of grammar on mathematical conceptualisation. The implications are discussed in terms of how understanding these grammatical features can help teachers, especially when children are not fluent in the language of instruction, as well as providing keys to cross-linguistic investigations of mathematical cognition.

• Referencias bibliográficas
  • Ameka, F. K., & Essegbey, J. (2013). Serialising languages: Sat-ellite-framed, verb-framed or neither. Ghana Journal of Linguis-tics,...
  • Anderson, A. H., Bader, M., Bard, E. G., Boyle, E., Doherty, G., Garrod, S.,... Weinert, R. (1991). The Hcrc map task corpus. Lan-guage and...
  • Barton, B. (2009). The language of mathematics: Telling mathe-matical tales. New York, NY: Springer.
  • Battiste, M. A., & Henderson, J. S. Y. (2000). Protecting indige-nous knowledge and heritage: A global challenge. Saskatoon, Canada: Purich.
  • Edmonds-Wathen, C. (2013). Frame of reference in Iwaidja: To-wards a culturally responsive early years mathematics program. (Doctoral dissertation,...
  • Edmonds-Wathen, C. (2014). Influences of indigenous language on spatial frames of reference in Aboriginal English. Mathematics Education Research...
  • Edmonds-Wathen, C. (2015). Indigenous language speaking stu-dents learning mathematics in English: Expectations of and for teachers. Australian...
  • Evans, N. (2010). Dying words: Endangered languages and what they have to tell us. Chichester, United Kingdom: Wiley-Blackwell.
  • Evans, N., & Birch, B. (2007, June). Being so fathered and so husbanded: Kinship verbs in Iwaidja. Paper presented at the DoBeS Workshop,...
  • Foley, W. A. (2004). The notion of “event” and serial verb con-structions: Arguments from New Guinea. In W. Khanittanan & P. Sidwell (Eds.),...
  • Halliday, M. A. K. (1978). Sociolinguistic aspects of mathemati-cal education. In Language as social semiotic: The social interpretation of...
  • Kazima, M. (2007). Malawian students' meanings for prob-ability vocabulary. Educational Studies in Mathematics, 64(2), 169-189.
  • Lunney Borden, L. (2011). The “verbification” of mathematics: Using the grammatical structures of Mi'kmaq to support student learning....
  • Lunney Borden, L. (2012). What's the word for...? Is there a word for...? How understanding Mi'kmaw language can help support Mi'kmaw...
  • Meaney, T., & Evans, D. (2013). What is the responsibility of mathematics education to the indigenous students that it serves? Educational...
  • Mitchelmore, M., & White, P. (2004). Abstraction in mathematics and mathematics learning. In M. J. Høines & A. B. Fuglestad (Eds.),...
  • Papafragou, A., Hulbert, J., & Trueswell, J. (2008). Does lan-guage guide event perception? Evidence from eye movements. Cognition, 108(1),...
  • Phakeng, M. S., & Moschkovich, J. N. (2013). Mathematics edu-cation and language diversity: A dialogue across settings. Journal for Research...
  • Pinxten, R., van Dooren, I., & Harvey, F. (1983). Anthropology of space: Explorations into the natural philosophy and semantics of the...
  • Pym, N. (1985). Iwaidja verbal clauses. In S. K. Ray (Ed.), Work papers of SIL- AAB (Series A, Volume 9, pp. 39-52). Darwin, Australia: Summer...
  • Pym, N., & Larrimore, B. (1979). Papers on Iwaidja phonology and grammar. Darwin, Australia: Summer Institute of Linguistics.
  • Senft, G. (2006). Prolegomena to a Kilivila grammar of space. In S. C. Levinson & D. Wilkins (Eds.), Grammars of space: Explo-rations...
  • Skemp, R. R. (1987). Psychology of learning mathematics. Hills-dale, NJ: Lawrence Erlbaum Associates.
  • Slobin, D. (2006). What makes manner of motion salient? Explo-rations in linguistic typology, discourse and cognition. In M. Hickmann &...
  • Staats, S. (2009). Somali mathematics terminology: A community exploration of mathematics and culture. In R. Barwell (Ed.), Multilingualism...
  • Talmy, L. (1985). Lexicalization patterns: Semantic structure in lexical form. In T. Shopen (Ed.), Language typology and syntac-tic description...