Abstract
The term ‘curriculum’ is used to describe the intended curriculum, the implemented curriculum or the attained curriculum. While the intended curriculum refers to the written or prescribed curriculum, the implemented curriculum refers to curriculum as teachers enact it in classrooms. Consequently, it is difficult to separate the enacted curriculum from teachers' pedagogical practice. Nevertheless, it is both worthwhile and timely to focus on research that specifically addresses curriculum with the recent development of the Australian curriculum for mathematics in the schooling years (Australian Curriculum, Assessment and Reporting Authority [ACARA], 2010a; 2010b). Part of the intent of this chapter is to describe the background and processes used to develop this curriculum as well as point to recent Australasian research which informed its development. We anticipate—as do the Editors of the Review—that increased attention will be given to issues that surround curriculum in the coming years as classroom practitioners and researchers describe the changed practices that will inevitably occur with the introduction of a new curriculum. We acknowledge that New Zealand's national curriculum is not in such a transitional phase although the new curriculum has only been in full implementation since 2010.
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References
Ainley, J., Kos, J., & Nicholas, M. (2008). Participation in science, mathematics and technology in Australasian education. [Monograph 4]. Melbourne, Australia: ACER.
Anderson J (2008) Teachers' motivation to attend voluntary professional development in K-10 mathematics. In: Goos M, Brown R, Makar K (eds) Navigating currents and charting directions (Proceedings of the 31st annual conference of the Mathematics Education Research Group of Australasia. MERGA, Brisbane, QLD, pp 51–58
Australian Association of Mathematics Teachers [AAMT]. (1997). Numeracy = everyone's business. The report of the numeracy education strategy development conference (May 1997) Adelaide. Australia, Author
Australian Association of Mathematics Teachers [AAMT] (2010a) AAMT response to the draft K-10 Australian curriculum: Mathematics. Author, Adelaide, Australia
Australian Association of Mathematics Teachers [AAMT] (2010b) AAMT response to the draft senior secondary Australian Curriculum: Mathematics. Author, Adelaide, Australia
Australian Curriculum, Assessment and Reporting Authority [ACARA] (2010) The Australian curriculum mathematics. Author, Sydney, Australia
Australian Curriculum, Assessment and Reporting Authority [ACARA]. (2010b). The shape of the Australian curriculum, Version 2.0. Sydney, Australia: Author.
Australian Institute for Teaching and School Leadership (2011) National professional standards for teachers. Education Services Australia, Melbourne, Australia
Board of Studies NSW (2003). Mathematics K-6 syllabus. Sydney, Australia: Author.
Bobis, J., Clarke, B., Clarke, D., Thomas, G., Wright, R., Young-Loveridge, J., … Gould, P. (2005). Supporting teachers in the development of young children's mathematical thinking: Three large scale cases. Mathematics Education Research Journal, 16(3), 27-57.
Callingham R, Pegg J (2010) Using development frameworks to support curriculum outcomes. In: Sparrow L, Kissane B, Hurst C (eds) Shaping the future of mathematics education (Proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. MERGA, Fremantle, pp 125–132
Centre for Science, Information and Communication Technology and Mathematics Education in Rural and Regional Australia (SiMERR). (2011). Second chance algebra learning environment (SCALE). Armidale, Australia: University of New England. Retrieved from http://www.une.edu.au/simerr/scale/
Cheeseman J, McDonough A, Clarke D (2011) Investigating children's understanding of the measurement of mass. In: Clarke J, Kissane B, Mousley J, Spencer T, Thornton S (eds) Mathematics: Traditions and (new) practices (Proceedings of the 34th annual conference of the Mathematics Education Research Group of Australasia and the 23rd biennial conference of the Australian Association of Mathematics Teachers, Alice Springs. AAMT & MERGA, Adelaide, SA, pp 174–182
Clarke D (2008) The mathematics teacher as curriculum maker: Developing knowledge for enacting curriculum. In: Sullivan P, Wood T (eds) Knowledge and beliefs in mathematics teaching and teaching development. Sense, Rotterdam, The Netherlands, pp 133–152
Clements DH (2007) Curriculum research: Towards a framework for research-based curricula. Journal for Research in Mathematics Education 38:35–70
Council of Australian Governments. (2008). National numeracy review report. Canberra, Australia: Commonwealth of Australia. Retrieved from http://www.coag.gov.au/reports/docs/national_numeracy_review.pdf
Cowie, B., Hipkins, R., Boyd, S., Bull, A., Keown, P, & McGee, C. (2009). Curriculum implementation exploratory studies: Final report. Wellington, New Zealand: Ministry of Education.
Department of Education and Children's Services (2005). South Australian curriculum, standards and accountability framework. Retrieved from http://www.sacsa.edu.au
Dickenson-Jones A (2008) Transforming ethnomathematical ideas in western mathematics curriculum texts. Mathematics Education Research Journal 20(3):32–53
Edmonds-Wathen C (2011) Locating the learner: Indigenous language and mathematics education. In: Clarke J, Kissane B, Mousley J, Spencer T, Thornton S (eds) Mathematics: Traditions and (new) practices (Proceedings of the 34th annual conference of the Mathematics Education Research Group of Australasia and the 23rd biennial conference of the Australian Association of Mathematics Teachers, Alice Springs. AAMT & MERGA, Adelaide, SA, pp 217–225
Fitzallen, N., & Watson, J. (2011). Graph creation and interpretation: Putting skills and context together. In J. Clarke, B. Kissane, J. Mousley, T. Spencer, & S. Thornton (Eds.), Mathematics: Traditions and (new) practices (Proceedings of the 34th annual conference of the Mathematics Education Research Group of Australasia and the 23rd biennial conference of the Australian Association of Mathematics Teachers, Alice Springs, pp. 253-260). Adelaide, SA: AAMT & MERGA. mathematics enrolments: Patterns and trends—Past and present. Melbourne, Australia: ICEEM.
Freebody, P. (2007). Literacy education in school: Research perspectives from the past, for the future. Australian Education Review 52. Camberwell, Australia: ACER.
Goos M, Geiger V, Dole S (2010) Auditing the numeracy demands of the middle-years curriculum. In: Sparrow L, Kissane B, Hurst C (eds) Shaping the future of mathematics education (Proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. MERGA, Fremantle, pp 210–217
Goos M, Geiger V, Dole S (2011) Teachers' personal conceptions of numeracy. In: Ubuz B (ed) Developing mathematical thinking (Proceedings of the 35th conference of the International Group of the Psychology of Mathematics Education. PME, Ankara, Turkey, pp 457–464
Heirdsfield, A., Warren, E., & Dole, S. (2007, November). The use of a new mathematics textbook scheme—support or impediment. Paper presented at the 2007 annual conference of the Australian Association for Research in Education, Fremantle, Australia. Retrieved from http://www.aare.eduau/07pap/her07131.pdf
Higgins J, Parsons R (2009) A successful professional development model in mathematics. Journal of Teacher Education 60(3):231–242
Hipkins, R. (2011). Learning to reinvent the school curriculum. Retrieved from http://www.nzcer.org.nz/system/files/learning-reinvent-school-curriculum.pdf
Ho KF (2010) Year 11 advanced mathematics: Hearing from students who buck the trend. In: Sparrow L, Kissane B, Hurst C (eds) Shaping the future of mathematics education (Proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. MERGA, Fremantle, SA, pp 248–255
Hollingsworth H, Lokan J, McCrae B (2003) Teaching mathematics in Australia: Results from the TIMSS 1999 video study. ACER, Camberwell, Australia
Hollingsworth H, Pearn C (2011) Towards excellence in mathematics teaching: Forging links between national curriculum and professional standards initiatives. In: Clarke J, Kissane B, Mousley J, Spencer T, Thornton S (eds) Mathematics: Traditions and (new) practices (Proceedings of the 34th annual conference of the Mathematics Education Research Group of Australasia and the 23rd biennial conference of the Australian Association of Mathematics Teachers, Alice Springs. AAMT & MERGA, Adelaide, SA, pp 957–965
Holton, D. (2010). Forward 2010. In Ministry of Education, Findings from the New Zealand Numeracy Development Projects 2009 (pp. 1-2). Wellington, New Zealand: Learning Media.
Jamieson-Proctor R, Byrne C (2008) Primary teachers' beliefs about the use of mathematics textbooks. In: Goos M, Brown R, Makar K (eds) Navigating currents and charting directions (Proceedings of the 31st annual conference of the Mathematics Education Research Group of Australasia. MERGA, Brisbane, QLD, pp 295–302
Jorgensen R, Zevenbergen K (2011) Young workers and their dispositions towards mathematics: Tensions of a mathematical habitus in the retail industry. Educational Studies in Mathematics 76:87–100
Kennedy K (2009) The idea of a national curriculum in Australia: What do Susan Ryan, John Dawkins and Julia Gillard have in common? Curriculum Perspectives 29(1):1–9
Kilpatrick J, Swafford J, Findell B (eds) (2001) Adding it up: Helping children learn mathematics. National Academy Press, Washington, DC
Lamb J, Spry G (2009) Leading change in mathematics: The Queensland mathematics syllabus. In: Hunter R, Bicknell B, Burgess T (eds) Crossing divides (Proceedings of the 32nd annual conference of the Mathematics Education Research Group of Australasia. MERGA, Palmerston North, NZ, pp 307–314
Luke A, Weir K, Woods A (2008) Development of a set of principles to guide a P-12 syllabus framework: A report to the Queensland Studies Authority. Queensland University of Technology, Brisbane, Australia
MacDonald A (2010) Young children's measurement knowledge: Understandings about comparison at the commencement of schooling. In: Sparrow L, Kissane B, Hurst C (eds) Shaping the future of mathematics education (Proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. MERGA, Fremantle, WA, pp 375–382
Mathematics Education Research Group of Australasia. (2010a). MERGA response to the Australian curriculum (mathematics). Adelaide, Australia: MERGA. Retrieved from http://www.merga.net.au/node/49
Mathematics Education Research Group of Austalasia. (2010b). MERGA feedback: Draft senior years Australian Mathematics Curriculum. Adelaide, Australia: MERGA. Retrieved from http://www.merga.net.au/sites/default/files/editor/documents/MERGA%20Senior%20Mathematics%20CurriculumFeedback300710FF.pdf
McPhan, G., Morony, W., Pegg, J., Cooksey, R., & Lynch, T. (2008). Maths? Why Not? Department of Education, Employment and Workplace Relations, Canberra, Australia. Retrieved from http://www.dest.gov.au/sectors/school_education/publications_resources/profiles/maths_why_not
Ministerial Council on Education, Employment, Training and Youth Affairs [MCEETYA]. (2008). Melbourne declaration on educational goals for young Australians. Retrieved from http://www.curriculum.edu.au/verve/_resources/National_Declaration_on_the_Educational_Goals_for_Young_Australians.pdf
Ministry of Education (2007a) The New Zealand curriculum. Learning Media, Wellington, New Zealand
Ministry of Education (2007b) Achievement objectives by learning areas. Learning Media, Wellington, New Zealand
Ministry of Education (2009) Mathematics standards for years 1—8. Author, Wellington, New Zealand
Mooney G (2010) Preparing students for a data rich world: The case for statistical literacy. Curriculum Perspectives 30(1):25–29
Board NC (2009a) The shape of the Australian curriculum. Author, Canberra, Australia
Board NC (2009b) Shape of the Australian curriculum: Mathematics. Author, Canberra, Australia
Queensland Studies Authority (2004) Year 1—10 Mathematics Syllabus. Author, Brisbane, Australia
Reid, A. (2005). Rethinking national curriculum collaboration: Towards an Australian curriculum. Report for Australian Government Federal Department of Education, Science, and Training. Canberra, Australia: DEST.
Reid A (2009) Is this a revolution?: A critical analysis of the Rudd government's national education agenda. Curriculum Perspectives 29(3):1–13
Shield, M., & Dole, S. (2009). An analysis of middle-years school mathematics textbooks. In Improving science and mathematics literacy: Theory, innovation and practice (Proceedings for the 3rd International Conference of Science and Mathematics Education). Penang, Malaysia: CoSMed. Retrieved from http://eprints.qut.edu.au/28847/1/28847.pdf
Shulman L (1987) Knowledge and teaching: Foundations of the reform. Harvard Educational Review 57(1):1–22
Skemp R (1986) The psychology of learning mathematics, 2nd edn. Penguin, Harmondsworth, United Kingdom
Stacey K (2003) The need to increase attention to mathematical reasoning. In: Hollingsworth H, Lokan J, McCrae B (eds) Teaching mathematics in Australia: Results from the TIMSS 1999 video study. ACER, Melbourne, Australia, pp 119–122
Stacey K, Vincent J (2008) Modes of reasoning in explanations in year 8 textbooks. In: Goos M, Brown R, Makar K (eds) Navigating currents and charting directions (Proceedings of the 31st annual conference of the Mathematics Education Research Group of Australasia. MERGA, Brisbane, QLD, pp 475–481
Stephens M, Amanto D (2010) How to build powerful learning trajectories for relational thinking in the primary school years. In: Sparrow L, Kissane B, Hurst C (eds) Shaping the future of mathematics education (Proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. MERGA, Fremantle, WA, pp 523–530
Stillman G, Galbraith P (2009) Softly, softly: Curriculum change in applications and modelling in the senior secondary curriculum in Queensland. In: Hunter R, Bicknell B, Burgess T (eds) Crossing divides (Proceedings of the 32nd annual conference of the Mathematics Education Research Group of Australasia. MERGA, Palmerston North, NZ, pp 515–522
Sullivan, P. (2011). Teaching mathematics: Using research-informed strategies.Australian Education Review, 59 Retrieved from http://research.acer.edu.au/aer/13
Sullivan, P., & Jorgensen, R. (2009). Education as creating opportunities: The contribution of numeracy. In Future SACE school to work innovation program: Literacy & numeracy final report (pp. 24-30). Adelaide, Australia: South Australian Department of Education and Children's Service and the future SACe Office.
Thornton S (2009) Speaking with different voices: Knowledge legitimation codes of mathematicians and mathematics educators. In: Hunter R, Bicknell B, Burgess T (eds) Crossing divides (Proceedings of the 32nd annual conference of the Mathematics Education Research Group of Australasia. MERGA, Palmerston North, NZ, pp 515–522
Vincent J, Stacey K (2008) Do mathematics textbooks cultivate shallow teaching? Applying the TIMSS video study criteria to Australian eighth-grade mathematics textbooks. Mathematics Education Research Journal 20(1):82–107
Watson J, Fitzallen N (2010) The development of graph understanding in the mathematics curriculum: Report for the NSW Department of Education and Training. NSW DET, Sydney, Australia
White, P., & Cranitch, M. (2010). The impact on final year pre-service secondary teachers of a unit in teaching literacy and numeracy across the curriculum. Australian Journal of Teacher Education. 35(7), 54-63. Retrieved from http://ajte.education.ecu.edu.au/ISSUES/vol357.htm
White P, Mitchelmore MC (2010) Teaching for abstraction: A model. Mathematical Thinking and Learning 12(3):205–226
Wilson S, McChesney J (2010) "I always feel more confident when I know where things are going": How do pre-service teachers engage with mathematics curriculum documentation? In: Sparrow L, Kissane B, Hurst C (eds) Shaping the future of mathematics education (Proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. MERGA, Fremantle, WA, pp 649–656
Yates LYN, Collins C (2010) The absence of knowledge in Australian curriculum reforms. European Journal of Education 45(1):89–102
Young-Loveridge, J. (2010). A decade of reform in mathematics education: Results for 2009 and earlier years. In Ministry of Education, Findings from the New Zealand Numeracy Development Projects 2009 (pp. 15-35). Wellington, New Zealand: Learning Media.
Zevenbergen R, Zevenbergen K (2004) Numeracy practices in contemporary work: Changing approaches. In: Putt I, Faragher R, McLean M (eds) Mathematics education for the third millennium: Towards 2010 (Proceedings of the 27th annual conference of the Mathematics Education Research Group of Australasia, Townsville. MERGA, Sydney, NSW, pp 605–612
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Anderson, J., White, P., Wong, M. (2012). Mathematics Curriculum in The Schooling Years. In: Perry, B., Lowrie, T., Logan, T., MacDonald, A., Greenlees, J. (eds) Research in Mathematics Education in Australasia 2008–2011. SensePublishers, Rotterdam. https://doi.org/10.1007/978-94-6091-970-1_11
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