Abstract
School subjects can be said to provide ways of making sense of one’s world. In mathematics these include quantifying with number, measurement, and statistics; describing and linking shapes with geometry and trigonometry; and generalising with arithmetic, algebra, and calculus. These ways are both descriptive (conceptual) and concerned with relationships (including applications). These ways also allow people to solve problems, explain and prove results, and communicate — that is, to think mathematically.
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References
Ahmed, A. (1987). Better Mathematics (A Curriculum Development Study based on LAMP). London: Her Majesty’s Stationery Office.
Aoki, T. (1987). Towards understanding `computer application’. The Journal of Curriculum Theorizing, 7(2), 61–71. (Reprinted In W. Pinar (Ed.) (1999), Contemporary Curriculum Discourses: Twenty years of JCT (pp. 168–176.) New York: Peter Lang Publishing).
Australian Human Rights and Equal Opportunity Commission (2000). Recommendations: National Inquiry into Rural and Remote Education. Sydney: Human Rights and Equal Opportunity Commission.
Beaton, A., Mullis, I., Martin, O., Gonzales, E., Kelly, D., and Smith, T. (1996). Mathematics Achievement in the Middle School Years. Boston: CSTEEP Boston College (TIMSS).
Becker, J., and Shimada, S. (Eds.) (1997). The Open-Ended Approach: A New Proposal for Teaching Mathematics. Reston VA: National Council of Teachers of Mathematics.
Begg, A. (Ed.) (1992). Mathematika Pasefika — Vocabulary Database (version 2.0) (unesco conference). Hamilton, University of Waikato.
Bishop, A. (1988). Mathematical enculturation: A cultural perspective on mathematics education. Dordrecht: Kluwer Academic Publishers.
Block, A. (1988). The Answer is Blowin’ in the Wind: A deconstructive reading of the school text. The Journal of Curriculum Theorizing 8(4),23–52. (Reprinted in, W. Pinar (Ed.) (1999), Contemporary Curriculum Discourses: Twenty years of JCT (pp. 177–198.). New York: Peter Lang Publishing).
Clarkson, P., and Bishop, A. (2000). Values and mathematics education. In A. Ahmed, H. Williams, and J. Kraemer (Eds.), Cultural Diversity in Mathematics Education (pp. 239–244 ). Chichester UK: Horwood Publishing.
Cobb, P. (1994). Where is the mind? constructivist and sociocultural perspectives on mathematics development. Educational Researcher, 23(7), 13–20.
D’Ambrosio, U. (1984). Socio-cultural bases for mathematical education. In, M. Carss (Ed.), Proceedings of the Fifth International Congress on Mathematical Education (pp. 1–6 ). Boston: Birkhäuser.
Davis, B. (1996). Teaching mathematics: Towards a sound alternative. New York: Garland Publishing.
Davis, B., and Sumara, D. (2000). Curriculum forms: An the assumed shapes of knowing and knowledge, Journal of Curriculum Studies, 32(6), 821–845.
Davis, B., Sumara, D., and Luce-Kapler, R. (2000). Engaging Minds: Learning and Teaching in a Complex World. Lawrence Erlbaum Associates.
Davis, P., and Hersch, R. (1981). The Mathematical Experience. Boston: Birkhauser.
Department of Education and Science and the Welsh Office DESWO (1982). Mathematics Counts (Report of the Committee of Inquiry into the Teaching of Mathematics in Schools under the Chairmanship of Dr W. H. Cockcroft). London: Her Majesty’s Stationery Office.
Engelbrecht, J., and Harding, A. (2001). Mathematics is not got grown ups. Seminar presented at the Mathematics Education Unit of the University of Auckland.
Firsov, V. (1996). Russian standards: Concepts and decisions. Paper presented at the 8th International Congress on Mathematics Education, Seville Spain.
Freudenthal, H. (1973). Mathematics as an Educational Task. Dordrecht: Reidel.
Gadamer, H.-G. (1975). Truth and Method. New York: Seabury Press.
Grouws, D. A. (Ed.) (1992). Handbook of Research on Mathematics Teaching and Learning. New York: Macmillan Publishing (with the National Council of Teachers of Mathematics).
Groves, S., and Stacey, K. (1998). Calculators in primary mathematics: Exploring number before teaching algorithms. In L. Morrow and M. Kenny (Eds.), The Teaching and Learning of Algorithms in School Mathematics: 1998 Yearbook of the National Council of Teachers of Mathematics (pp. 120–129 ). Reston VA: National Council of Teachers of Mathematics.
Holton, D. (1993). What mathematicians do and why it is important in the classroom, Set (Research Information for Teachers), 1, Item 10, (1–6).
Kaiser, G., Luna, E., and Huntley, I. (Eds.) (1999). International Comparisons in Mathematics Education. London/Philadelphia: Falmer Press.
Lakatos, I. (1976). Proofs and Refutations. Cambridge: Cambridge University Press.
Lave, J., and Wenger, E. (1991). Situated learning: Legitimate peripheral participation. New York: Cambridge University Press.
Lean, G. (1988). Counting Systems of Papua New Guinea, Vols 1–17. Lae: Papua New Guinea University of Technology.
Maturana, H., and Varela, F. (1987). The tree of knowledge: The biological roots of human understanding. Boston MA: Shambala Press.
Ministry of Education (1994). Pangarau: Te Taua ki Marautanga (He Taufra]. Wellington: Learning Media, Ministry of Education.
Mullis, I., Martin, O., Beaton, A., Gonzales, E., Kelly.D., and Smith, T. (1996). Mathematics Achievement in the Primary School Years. Boston: CSTEEP Boston College (TIMSS).
National Council of Teachers of Mathematics (1989). Curriculum and Evaluation Standards for School Mathematics. Reston VA: NCTM.
Neyland, J. (2001). An Ethical Critique of Technocratic Mathematics Education: Towards an Ethical Philosophy of Mathematics Education. Unpublished PhD thesis, Victoria University of Wellington.
Osborne, R., and Freyberg, P. (Eds.) (1985). Learning in Science: The implications of children’s science. Auckland: Heinemann.
Polya, G. (1957). How to solve it: A new aspect of mathematical method. New York: Doubleday.
Prime Project (1989). The Second Year of CAN (Calculator Aware Number, part of the primary initiatives in Mathematics Education). Cambridge: Prime.
Schön, D. (1983). The reflective practitioner: How professionals think in action. New York: Basic Books.
Skemp, R. (1989). Mathematics in the Primary School. London: Routledge.
Steffe, L., Nesher, P., Cobb, P., Goldin, G., and Greer, B. (Eds.) (1996). Theories of Mathematical Learning. Mahwah NJ: Lawrence Erlbaum Associates.
Varela, F., Thompson, E., and Rosch, E. (1991). The embodied mind: Cognitive science and human experience. Cambridge MA: Massachusetts Institute of Technology Press.
von Glasersfeld, E. (1995). Radical constructivism: A way of knowing and learning. London: Falmer Press.
Watson, J. (1998). Professional development for teachers of probability and statistics: Into the era of technology. International Statistical Review, 66, 271–289.
White, R., and Gunstone, R. (1992). Probing Understanding. London: Falmer Press.
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Begg, A. (2003). Mathematics Curricula. In: Keeves, J.P., et al. International Handbook of Educational Research in the Asia-Pacific Region. Springer International Handbooks of Education, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3368-7_41
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DOI: https://doi.org/10.1007/978-94-017-3368-7_41
Publisher Name: Springer, Dordrecht
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