Abstract
For some time, education researchers and curriculum policy-makers in Australia and elsewhere have recognised the potential for mathematics learning to be transformed by technologies such as computers and graphics calculators, and every Australian State and Territory has now developed mathematics syllabuses that mandate the use of these resources in high stakes assessment at the end of secondary school. This chapter explores the impact of these technology-related reforms on mathematics learning and teaching in the Australian context by analysing examples of classroom practice and teacher learning, and development drawn from a series of socioculturally oriented research studies. Its purpose is to interrogate assumptions about relationships between access to technology, its use by teachers, and the nature of students' technology-aided learning.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arnold, S. (2004). Mathematics education for the third millennium: Visions of a future for handheld classroom technology. In I. Putt, R. Faragher & M. McLean (Eds.), Mathematics Education for the Third Millennium: Towards 2010 (Proceedings of the 27th annual conference of the Mathematics Education Research Group of Australasia, pp. 16–28). Sydney: MERGA.
Berger, M. (1998). Graphics calculators: An interpretive framework. For the Learning of Mathematics, 18(2), 13–20.
Commonwealth of Australia (2001). Backing Australia's Ability: An Innovation Action Plan for the Future. Retrieved 26 November 2004 from http://www.innovation.gov.au/iap/.
Commonwealth of Australia (2003). Australia's Teachers: Australia's Future. Advancing Innovation, Science, Technology and Mathematics. Agenda for Action. Retrieved 26 November 2004 from www.dest.gov.au/schools/teachingreview.
Cuban, L., Kirkpatrick, H. & Peck, C. (2001). High access and low use of technologies in high school classrooms: Explaining an apparent paradox. American Educational Research Journal, 38, 813–834.
Department of Education and the Arts, Queensland (2003). Professional Standards for Teachers: Guidelines for Professional Practice. Retrieved 7 September 2005 from http://education.qld. gov.au/staff/learning/standards/teachers/pdfs/profstandards.pdf
Department of Education and the Arts, Queensland (2004). The New Basics Research Report. Retrieved 7 September 2005 from http://education.qld.gov.au/corporate/newbasics/html/ library.html
Department of Education and the Arts, Queensland (2005). Smart Classrooms Strategy. Retrieved 7 September 2005 from http://education.qld.gov.au/smartclassrooms/strategy/index.html
Doerr, H. M. & Zangor, R. (2000). Creating meaning for and with the graphing calculator. Educational Studies in Mathematics, 41, 143–163.
Education and Manpower Bureau, The Government of the Hong Kong SAR (1998). Information Technology for Learning in a New Era: Five-year Strategy 1998/99 to 2002/03. Retrieved 22 January 2007 from http://www.emb.gov.hk/index.aspx?langno=1&nodeID=425
Education and Manpower Bureau, The Government of the Hong Kong SAR (2002). Trigonometry in 3-Dimensional Space. Retrieved 22 January 2007 from http://resources.emb.gov.hk/trigo/
Education and Manpower Bureau, The Government of the Hong Kong SAR (2006). ITEd Refresher Training Courses. Retrieved 22 January 2007 from http://www.emb.gov.hk/index. aspx?langno=1&nodeID=2287
Farrell, A. (1996). Roles and behaviors in technology-integrated precalculus classrooms. Journal of Mathematical Behavior, 15, 35–53.
Fine, A. E. & Fleener, M. J. (1994). Calculators as instructional tools: Perceptions of three pre-service teachers. Journal of Computers in Mathematics and Science Teaching, 13(1), 83–100.
Forster, P., Flynn, P., Frid, S. & Sparrow, L. (2004). Calculators and computer algebra systems. In B. Perry, G. Anthony & C. Diezmann (Eds.), Research in Mathematics Education in Australasia 2000&2003 (pp. 313–336). Flaxton, Qld: Post Pressed.
Freebody, P. (2005). Background, Rationale and Specifications: Queensland Curriculum, Assessment and Reporting Framework. Brisbane: Department of Education and the Arts. Retrieved 26 August 2005 from www.education.qld.gov.au/qcar/
Galbraith, P. & Goos, M. (2003). From description to analysis in technology aided teaching and learning: A contribution from zone theory. In L. Bragg, C. Campbell, G. Herbert & J. Mousley (Eds.), Mathematics Education Research: Innovation, Networking, Opportunity (Proceedings of the 26th annual conference of the Mathematics Education Research Group of Australasia, Geelong, Vic, pp. 364–371). Sydney: MERGA.
Geiger, V. (2005). Master, servant, partner and extension of self: A finer grained view of this taxonomy. In P. Clarkson, A. Downton, D. Gronn, M. Horne, A. McDonough, R. Pierce & A. Roche (Eds.), Building Connections: Theory, Research and Practice (Proceedings of the 28th annual conference of the Mathematics Education Research Group of Australasia, Melbourne, pp. 369–376). Sydney: MERGA.
Goos, M. (2005). A sociocultural analysis of the development of pre-service and beginning teachers' pedagogical identities as users of technology. Journal of Mathematics Teacher Education, 8(1), 35–59.
Goos, M. & Bennison, A. (2004). Teachers' Use of Technology in Secondary School Mathematics Classrooms. Paper presented at the annual conference of the Australian Association for Research in Education, Melbourne, 28 November–2 December.
Goos, M. & Cretchley, P. (2004). Teaching and learning mathematics with computers, the internet, and multimedia. In B. Perry, G. Anthony & C. Diezmann (Eds.), Research in Mathematics Education in Australasia 2000–2003 (pp. 151–174). Flaxton, Qld: Post Pressed.
Goos, M., Galbraith, P., Renshaw, P. & Geiger, V. (2000). Re-shaping teacher and student roles in technology enriched classrooms. Mathematics Education Research Journal, 12, 303–320.
Goos, M., Galbraith, P., Renshaw, P. & Geiger, V. (2003). Perspectives on technology mediated learning in secondary school mathematics classrooms. Journal of Mathematical Behavior, 22, 73–89.
Guin, D. & Trouche, L. (1999). The complex process of converting tools into mathematical instruments: The case of calculators. International Journal of Computers in Mathematical Learning, 3, 195–227.
Hennessy, S., Fung, P. & Scanlon, E. (2001). The role of the graphic calculator in mediating graphing activity. International Journal of Mathematical Education in Science and Technology, 32(2), 267–290.
Jones, P., Ng, W.L. & Tang, K. (2006). Integration of Graphics Calculators into the Mathematics Curriculum — Australia, Hong Kong and Singapore. Panel session presented at the 11th Asian Technology Conference in Mathematics, Hong Kong SAR, 12–16 December.
Leung, A. (2006). Hong Kong SAR: A Reflection on the Use of Digital Technologies in School Mathematics. Plenary panel contribution presented at the ICMI 17 Study conference, Hanoi, 3–8 December.
Leung, F. (2006). Old Wine in a New Bottle? The Use of Information and Communication Technology in Mathematics Teaching and Learning. Plenary speech presented at the 11th Asian Technology Conference in Mathematics, Hong Kong SAR, 12–16 December.
Manoucherhri, A. (1999). Computers and school mathematics reform: Implications for mathematics teacher education. Journal of Computers in Mathematics and Science Teaching, 18(1), 31–48.
Ministry of Education, Singapore (2002). Masterplan II for ICT in Education. Retrieved 22 January 2007 from http://www.moe.gov.sg/edumall/mp2/mp2.htm
Ministry of Education, Singapore (2005). Breadth and Flexibility: The New ‘A’ Level Curriculum 2006. Retrieved 22 January 2007 from http://www.moe.gov.sg/cpdd/alevel2006/
Ministry of Education, Singapore (2006). Connecting Educators, Communities and Resources in the Use of ICT in Education: Professional Development Programs (Mathematics). Retrieved 22 January 2007 from http://www.moe.gov.sg/edumall/pro_develop/maths.htm
Mok, I., Johnson, D., Cheung, J. & Lee, A. (2000). Introducing technology in algebra in Hong Kong: Addressing issues in learning. International Journal of Mathematical Education in Science and Technology, 31, 553–567.
Morony, W. & Stephens, M. (Eds.) (2000). Students, Mathematics and Graphics Calculators into the New Millennium. Adelaide: Australian Association of Mathematics Teachers.
Mullis, I. V. S., Martin, M. O., Gonzales, E. J., & Chrostowski, S. J. (2004). Findings from IEA's Trends in International Mathematics and Science Study at the Fourth and Eighth Grades. Chestnut Hills, MA: TIMSS & PIRLS International Study Centre, Boston College.
National Council of Teachers of Mathematics (2000). Principles and Standards for School Mathematics. Reston, VA: NCTM. New South Wales Institute of Teachers (2005). Professional Teaching Standards. Retrieved 7 September 2005 from www.nswteachers.nsw.edu.au
Ng, W. L. (2006). Integration of graphing calculators into the pre-university mathematics curriculum. In S. Chu, S. Hou & W. Yang (Eds.) Proceedings of the 11th Asian Technology Conference in Mathematics (pp. 20–31). Blacksburg, VA: ATCM.
Penglase, M. & Arnold, S. (1996). The graphics calculator in mathematics education: A critical review of recent research. Mathematics Education Research Journal, 8, 58–90.
Queensland Studies Authority (2008). Mathematics B Senior Syllabus. Brisbane: QSA.
Shulman, L. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57, 1–22.
Simonsen, L. M. & Dick, T. P. (1997). Teachers' perceptions of the impact of graphing calculators in the mathematics classroom. Journal of Computers in Mathematics and Science Teaching, 16(2/3), 239–268.
Tan, H. & Forgasz, H. (2006). Graphics calculators for mathematics learning in Singapore and Victoria (Australia): Teachers' views. In J. Novotna, H. Moraova, M. Kratka & N. Stehlikova (Eds.), Proceedings of the 30th conference of the International Group for the Psychology of Mathematics Education (Vol. 5, pp. 249–256). Prague: PME.
Valsiner, J. (1997). Culture and the Development of Children's Action: A Theory of Human Development (2nd edn.). New York: John Wiley & Sons.
Victorian Curriculum and Assessment Authority (2004). Victorian Essential Learning Standards. Retrieved 8 September 2005 from http://vels.vcaa.vic.edu.au/essential/index.html
Walen, S., Williams, S. & Garner, B. (2003). Pre-service teachers learning mathematics using calculators: A failure to connect current and future practice. Teaching and Teacher Education, 19(4), 445–462.
Wallace, R. (2004). A framework for understanding teaching with the Internet. American Educational Research Journal, 41, 447–488.
Watkins, D. & Biggs, J. (Eds.) (1996). The Chinese Learner: Cultural, Psychological and Contextual Influences. Hong Kong: Comparative Education Research Centre; Melbourne: Australian Council for Educational Research.
Windschitl, M. & Sahl, K. (2002). Tracing teachers' use of technology in a laptop computer school: The interplay of teacher beliefs, social dynamics, and institutional culture. American Educational Research Journal, 39, 165–205.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer Science + Business Media B.V.
About this chapter
Cite this chapter
Goos, M. (2009). Reforming Mathematics Education: Theorising Teachers' and Students' Use of Technology. In: Ng, Ch., Renshaw, P.D. (eds) Reforming Learning. Education in the Asia-Pacific Region: Issues, Concerns and Prospects, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3024-6_3
Download citation
DOI: https://doi.org/10.1007/978-1-4020-3024-6_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3002-4
Online ISBN: 978-1-4020-3024-6
eBook Packages: Humanities, Social Sciences and LawEducation (R0)