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REMOTE INDIGENOUS STUDENTS’ UNDERSTANDINGS OF MEASUREMENT

  • Peter GrootenboerEmail author
  • Peter Sullivan
Article

ABSTRACT

It is widely accepted that mathematical learning builds upon students’ prior knowledge and understandings, and their identities. In this study, this phenomenon is explored with indigenous students in remote community schools in outback Australia. Through one-on-one task-based interviews, it was found that these students had some clear understandings of the measurement concepts involved, although these understandings were often idiosyncratic to these students in this context. The task-based one-on-one interview gave better insights into students’ knowledge than the written form of the National Assessment Program–Literacy and Numeracy assessment. Nevertheless, the students’ conceptions provide a useful basis upon which to build subsequent knowledge, understanding and skills in the forms required by the formal mathematics curriculum.

KEY WORDS

assessment contexts indigenous learners measurement 

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References

  1. Battista, M. T. (2004). Applying cognition-based assessment to elementary school students’ development of understanding of area and volume measurement. Mathematical Thinking and Learning, 6(2), 185–204.CrossRefGoogle Scholar
  2. Baturo, A. & Nason, R. (1996). Student teachers’ subject matter knowledge within the domain of area measurement. Educational Studies in Mathematics, 31, 235–268.CrossRefGoogle Scholar
  3. Boaler, J. & Staples, M. (2008). Creating mathematical futures through an equitable teaching approach: The case of Railside School. Teachers College Record, 110(3), 608–645.Google Scholar
  4. Bobis, J., Mulligan, J. & Lowrie, T. (2009). Mathematics for children: Challenging children to think mathematically (3rd ed.). Frenchs Forest, NSW: Pearson Education Australia.Google Scholar
  5. Clarke, D., Cheeseman, J., Gervasoni, A., Gronn, D., Horne, M., McDonough, A., … & Rowley, G. (2002). Early Numeracy Research Project (ENRP): Final report. Melbourne: Australian Catholic University and Monash University.Google Scholar
  6. Cobb, P., Wood, T. & Yackel, E. (1990). Classrooms as learning environments for teachers and researchers. In R. Davis, C. Maher & N. Noddings (Eds.), Constructivist views on the teaching and learning of mathematics in schools (pp. 125–146). Reston, Virginia: National Council of Teachers of Mathematics.Google Scholar
  7. Cooper, B. & Dunne, M. (1998). Anyone for tennis? Social class differences in children’s responses to national curriculum mathematics testing. The Sociological Review, (Jan), 46:115–148.Google Scholar
  8. Ernest, P. (1994). Varieties of constructivism: Their metaphors, epistemologies and pedagogical implications. Hiroshima Journal of Mathematics Education, 2, 1–14.Google Scholar
  9. Ernest, P. (2010). Reflections on theories of learning. In B. Sriraman & L. Engish (Eds.), Theories of mathematics education: Seeking new frontiers (pp. 39–47). Berlin, Heidelberg: Springer.CrossRefGoogle Scholar
  10. Frigo, T., Corrigan, M., Adams, I., Hughes, C., Stephens, M. & Woods, D. (2003). Supporting English literacy and numeracy learning for indigenous students in the early years. Camberwell: ACER Monograph 57.Google Scholar
  11. Grootenboer, P. (2009). Rich mathematical tasks in the Maths in the Kimberley project. In R. Hunter, B. Bicknell & T. Burgess (Eds.), Crossing divides. Proceedings of the 32nd conference of the Mathematics Education Research Group of Australasia, vol 1 (pp. 696–699). Sydney: MERGA.Google Scholar
  12. Grootenboer, P. J. & Zevenbergen, R. (2008). Identity as a lens to understand learning mathematics: Developing a model. In M. Goos, R. Brown & K. Makar (Eds.), Navigating currents and charting directions. Proceedings of the 31st annual conference of the Mathematics Education Research Group of Australasia, Brisbane (pp, Vol. 1, pp. 243–250). Brisbane: MERGA.Google Scholar
  13. Gutierrez, R. (2002). Enabling the practice of mathematics teachers in context: Toward a new equity research agenda. Mathematical Thinking and Learning, 4(2–3), 145–187.CrossRefGoogle Scholar
  14. Hattie, J. & Timperley, H. (2007). The power of feedback. Review of Educational Research, 77(1), 81–112.CrossRefGoogle Scholar
  15. Hogan, T. P. & Brezinski, K. L. (2003). Quantitative estimation: One, two, or three abilities? Mathematical Thinking and Learning, 5(4), 259–280.CrossRefGoogle Scholar
  16. Hughes, P. (2010, April). Keynote address at dare to lead conference, Yulara, NT. April.Google Scholar
  17. Kordaki, M. & Potari, D. (1998). Children’s approaches to area measurement through different contexts. The Journal of Mathematical Behavior, 17(3), 303–316.CrossRefGoogle Scholar
  18. Lubienski, S. T. (2000). Problem solving as a means toward mathematics for all: An exploratory look through a class lens. Journal for Research in Mathematics Education, 31, 454–482.CrossRefGoogle Scholar
  19. MacDonald, A. & Lowrie, T. (2011). Developing measurement concepts within context: Children’s representations of length. Mathematics Education Research Journal, 23(1), 27–42.CrossRefGoogle Scholar
  20. Meaney, T., McMurchy-Pilkington, C. & Trinick, T. (2008). Mathematics education and indigenous students. In H. Forgasz et al. (Eds.), Research in mathematics education in Australasia 2004–2007 (pp. 119–139). Rotterdam: Sense.Google Scholar
  21. Palmer, P. J. (1993). To know as we are known: Education as a spiritual journey. New York: Harper Collins.Google Scholar
  22. Smith, J. P., van den Heuvel-Panhuizen, M. & Teppo, A. R. (2011). Learning, teaching, and using measurement: Introduction to the issue. ZDM Mathematics Education, 46, 617–620.CrossRefGoogle Scholar
  23. Sullivan, P. (2009). Describing teacher actions after student learning from rich experiences. In R. Hunter, B. Bicknell & T. Burgess (Eds.), Crossing divides. Proceedings of the 32nd conference of the Mathematics Education Research Group of Australasia, vol 1 (pp. 726–732). Sydney: MERGA.Google Scholar
  24. Thompson, S., de Bortoli, L., Nicholas, M., Hillman, K. & Buckley, S. (2010). Challenges for Australian education: Results from PISA 2009. Melbourne: Australian Council of Educational Research.Google Scholar
  25. Towers, J. & Hunter, K. (2010). An ecological reading of mathematical language in a grade 3 classroom: A case of learning and teaching measurement estimation. The Journal of Mathematical Behavior, 29, 25–40.CrossRefGoogle Scholar
  26. Tzur, R. (2008). Profound awareness of the learning paradox. In B. Jaworski & T. Wood (Eds.), The mathematics teacher educator as a developing professional (pp. 137–156). Rotterdam: Sense.Google Scholar
  27. Vygotsky, L. (1978). Mind and society. Cambridge: Harvard University Press.Google Scholar

Copyright information

© National Science Council, Taiwan 2013

Authors and Affiliations

  1. 1.Griffith UniversitySouthportAustralia
  2. 2.Monash UniversityMelbourneAustralia

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