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Oral Language, Representations and Mathematical Understanding: Indigenous Australian Students

Published online by Cambridge University Press:  22 July 2015

Elizabeth Warren  and
Janelle Young
Elizabeth Warren
Affiliation:
Australian Catholic University, McAuley Campus, 1100 Nudgee Road, Banyo, Queensland, 4014, Australia
Janelle Young
Affiliation:
Australian Catholic University, McAuley Campus, 1100 Nudgee Road, Banyo, Queensland, 4014, Australia
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Abstract

This paper explores the role of oral language and representations in negotiating mathematical understanding. The data were gathered from two Indigenous Australian classrooms in Northern Queensland. The first classroom, a Year 6/7 consisted of 15 students whose ages range from 10 years to 12 years with eight being Aboriginal, six from Torres Strait and one from Papua New Guinea. The second classroom, a Years 4/5/6 classroom consisted of 14 Year 3/4/5 students, with eight being Aboriginal and six of Torres Strait Island origin. Both teachers had been working in this context for up to five years and were perceived by both the school community and local educational consultants as exemplary teachers of Indigenous Australian students. Data were gathered from conversations with the two teachers, and from videos of their lessons especially designed to illuminate issues they negotiate on a day-to-day basis when teaching mathematics. The results indicate that explicit consideration needs to be given to the careful development of precise mathematical language and concrete mathematical materials, the use of questioning in establishing classroom discourse, and the recognition that many of these classrooms are bilingual.

Type
Research Article
Information
The Australian Journal of Indigenous Education , Volume 37 , Issue 1 , 2008 , pp. 130 - 137
Copyright
Copyright © Cambridge University Press 2008

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References

Bliss, J. (2004). Applying a cross-cultural framework to help Indigenous students learn to read and write. In Bartlett, B.Bryer, F. & Roebuck, D. (Eds.), Educating: Weaving research into practice (Vol. 1, pp. 103–112). Nathan, QLD: Griffith University, School of Cognition, Language and Special Education.Google Scholar
Bourke, P. C. J., & Rigby, K. (2000). Better practice in school attendance: Improving the school attendance of indigenous students. Canberra, ACT: DETYA.Google Scholar
Bucknall, G. (1995). Building bridges between Aboriginal and Western mathematics. The Aboriginal Child at School, 23(i), 22–31.Google Scholar
Cairney, T. (2003). Literacy within family life. In Hall, N.Larson, J. & Marsh, J. (Eds.), Handbook of early childhood literacy (pp. 85–98). London: Sage Publications.CrossRefGoogle Scholar
Cooper, T., Baturo, A., Doig, S., & Warren, E. (2004). Young white teachers' perceptions of mathematics learning of Aboriginal and non-Aboriginal students in remote communities. Proceedings of the Twenty Eighth Conference of the International Group for the Psychology of Mathematics Education, 1 (pp. 239–246). Bergen: Bergen University College.Google Scholar
Dickinson, D., McCabe, A., & Essex, M. J. (2006). A window of opportunity we must open to all: The case for preschool with high-quality support for language and literacy. In Dickinson, D. & Neuman, B. (Eds.), Handbook of early literacy research (Vol. 2, pp. 11–28). New York, NY: The Guilford Press.Google Scholar
Dunn, M. (1999). Literacy development in an Aboriginal community summary of a research project: Literacy practices for diverse needs. Australian Journal of Language and Literacy, 22(2), 103–119.Google Scholar
Galloway, A. (2003). Responding to responses: Interaction between Indigenous Australian students and their non-Indigenous teachers. In Jefferies, P. L. (Ed.), Joint Australian Association for Research in Education and New Zealand Association for Research in Education 2003 International Education Research Conference, Auckland, New Zealand. Retrieved 9 May, 2006, from http://www.aare.edu.au/03pap/gal03580.pdf.Google Scholar
Goldin-Meadow, S. (2006). Talking and thinking with our hands. Current Directions in Psychological Science, 15,34–39.Google Scholar
Haig, Y, Konisberg, R, & Collard, G. (2005). Teaching students who speak Aboriginal English. PEN 150: Primary English Teaching Association. Retrieved 18 November, 2008, from http://www.peta.edu.au/mediaLibrary/documents/pens/PEN150.pdf.Google Scholar
Ionn, M. (1995). Student views: Aborigines and Torres Strait Islanders and equitable educational outcomes: A focus on how school and society maintain misconceptions. The Aboriginal Child at School, 23(4), 37–44.CrossRefGoogle Scholar
Laborde, C. (1990). Language and mathematics. Mathematics and cognition: A research synthesis. In Nesher, P & Kilpatrick, J. (Eds.), Proceedings of the Twenty Ninth Conference of the International Group for the Psychology of Mathematics Education (pp. 53–69). Cambridge: Cambridge University Press.Google Scholar
Matthews, S., Howard, p., & Perry, B. (2003). Working together to enhance Australian Aboriginal students' mathematics learning. In Bragg, L., Campbell, C., Herbert, G., & Mousley, J. (Eds.), Proceedings of the 26th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 17–28). Geelong, VIC: MERGA.Google Scholar
Ministerial Council on Education, Employment, Training and Youth Affairs (MCEETYA). (2004). Preliminary paper national benchmark results - reading, writing and numeracy - years 3,5 and 7. Retrieved May 1, 2005 from http://www.mceetya.edu.auAerve/_resources/ANR2004BmrksFinal.pdf.Google Scholar
Nakata, M. E. (2003). Some thoughts on literacy issues in Indigenous contexts. The Australian Journal of Indigenous Education, 31(2), 7–15.Google Scholar
Ngurruwutthun, D. (1991). The Garma project. In Wei, B., Nayin, D., Rom, Y., Nginingawula, N. & Ngawurranungurumagi, (Eds), Aboriginal pedagogy: Aboriginal teachers speak out (pp. 107–122). Geelong, VIC: Deakin University Press.Google Scholar
Peirce, C. S. (1960). Collected papers. Cambridge, MA: Harvard University Press.Google Scholar
Potter, C. (1994). Mathematics and Aboriginality. The Aboriginal Child at School, 22(1), 3–11.Google Scholar
Presmeg, N. C. (1997). A semiotic framework for linking cultural practice and classroom mathematics. In Dossey, J., Swafford, J., Parmantie, M., & Dossey, A. (Eds.), Proceedings ofthe 19th Annual Meeting ofthe North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 151–156). Columbus, OH: ERIC Clearinghouse for Science, Mathematic, Environmental Education.Google Scholar
Presmeg, N. C. (2005). The role of culture on the teaching and learning of mathematics. Retrieved 20 March, 2007, from http://merg.umassd.edu/projects/symcog/bibliography/.Google Scholar
Radford, L. (1997). On psychology, historical epistemology, and the teaching of mathematics: Towards a socio-cultural history of mathematics. For the Learning of Mathematics, 17(1), 26–33.Google Scholar
Radford, L., Bardini, C., Sabena, C. & Diallo, R. (2005). An embodiment, artifacts and signs: A semiotic-cultural perspective on mathematical thinking. In Chick, H. & Vincent, J. (Eds.), Proceedings of the Twenty Ninth Conference of the International Group for the Psychology of Mathematicse Education (Vol. 4, pp. 113–120). Melbourne, VIC: University of Melbourne.Google Scholar
Saenz-Ludlow, A. (2001, July). Classroom mathematics discourse as an evolving interpreting game. Paper presented at Psychology of Mathematics Education, Utrecht, The Netherlands.Google Scholar
Sarra, C. (2003). Young and black and deadly: Strategies for improving outcomes for Indigenous students (Quality Teaching Series: Practioner Perspectives). Deakin, VIC: Australian College of Educators.Google Scholar
Simpson, L., & Clancy, S. (2005). Enhancing opportunities for Australian Aboriginal literacy learners in early childhood settings. Childhood Education, 81(6), 327–342.CrossRefGoogle Scholar
Simpson, L., Munns, G., & Clancy, S. (1999). Language tracks: Aboriginal English and the classroom. Newtown, NSW: PETA.Google Scholar
Tall, D. (2004). Thinking through the three worlds of mathematics. In Hoines, M. & Fuglestad, A. (Eds.), Proceedings of the Twenty Eighth Conference of the International Group for the Psychology of Mathematics Education (Vol 4, pp. 281–288). Bergen: Bergen University College.Google Scholar
Walkerdine, V. (1988). The mastery of reason: Cognitive developments and the production of rationality. New York, NY: Routledge.Google Scholar
Warren, E. (2003). Language, arithmetic and young students' interpretations. Focus on Learning Problems in Mathematics, 25 (4), 22–35.Google Scholar
Zevenbergen, R. (2000, October). Language implications for numeracy: A study of language use of disadvantaged students. Paper presented at Australian Council for Educational Research Conference, Brisbane, Queensland, Australia.Google Scholar