Modelling in Mathematics Classrooms: reflections on past developments and the future
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Andrews, J. G., & McLone, R. L. (1976).Mathematical Modelling. London: Butterworth
Blum, W., Galbraith, P., Henn, H-W., & Niss, M. (Eds.), (2006).Applications and Modelling in Mathematics Education. New ICMI Studies Series no. 10, New York: Springer. To appear.
Brousseau, G. (1997).Theory of didactical situations in mathematics: didactique des mathematiques, 1970~1990. Dordrecht: Kluwer.
Burkhardt, H. (1964).Modelling with Mathematics. unpublished lecture notes, University of Birmingham, Department of Mathematical Physics
Burkhardt, H., & Wishart, D. M. G. (1967).Broad Spectrum Appleid Mathematics. unpublished lecture notes. University of Birmingham School of Mathematical Sciences
Burkhardt, H. (1981).The Real World and Mathematics. Blackie-Birkhauser; reprinted 2000, Shell Centre Publications, Nottingham, U.K., URL: http://www.mathshell.com/scp/index.htm
Burkhardt, H., Fraser, R., Coupland, J., Phillips, R., Pimm, D., & Ridgway, J. (1988). Learning activities & classroom roles with and without the microcomputer.Journal of Mathematical Behavior, 6, 305–338.
Burkhardt, H., & Schoenfeld, A. H. (2003). Improving Educational Research: towards a more useful, more influential and better funded enterprise.Educational Researcher 32, 3–14.
Burkhardt, H. (2004).Assessing mathematical Proficiency: What is important? In A. H. Schoenfeld (Ed.), (forthcoming)Assessing Students' Mathematics Learning: Issues, Costs and Benefits Volume XXX. Mathematical Sciences Research Institute Publications. Cambridge: Cambridge University Press.
Burkhardt, H. (2005).From design research to large-scale impact: Engineering research in education. In J. Van den Akker, K. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), (forthcoming).Educational design research. London: Routledge.
Burkhardt, H., Muller, E. R. et al. (2006).Applications and Modelling for Mathematics. In W. Blum, P. Galbraith, H.-W. Henn, & M. Niss (Eds.),Modelling and Applications in Mathematics Education. New ICMI Studies Series no. 10, New York: Springer. To appear.
COMAP (1988).For All Practical Purposes. Solomon Garfunkel (Project Director) et al. 6th Edition, New York: W. H. Freeman
COMAP (1997-1998).Mathematics: Modeling Our World. Cincinnati: South-Western Ed. Publ.
Crowther Report 15~18 (1959).A Report of the Central Advisory Council for Education, HMSO, London.
ICTMA (1982-). Complete listing of ICTMA Conference Proceedings http://www.infj.ulst.ac.uk/ictma/books.html
MARS (1995-98).Balanced Assessment for the Mathematics Curriculum. Parsippany, NJ: Pearson Learning/Dale Seymour Publications.
Newell, A., and Simon, H. A. (1972).Human Problem Solving. Englewood Cliffs, NJ: Prentice-Hall.
PISA (1999).Measuring Student Knowledge and Skills—A New Framework for Assessment, OECD, ed. Paris: OECD.
PISA (2003).The PISA 2003 Assessment Framework: Mathematics, Reading, Science and problem Solving Knowledge and Skills, OECD, ed. Paris, URL https://www.pisa.oecd.org/dataoecd/38/51/3370 7192.pdf
OLPC (2005).One Laptop per Child, MIT Media Lab., http://laptop.media.mit.edu/
Pollak, H. O. (2003). A History of the Teaching of Modelling, in Stanic, G. M. A. and Kilpatrick, J. (Eds.),A History of School Mathematics. (pp 647–672), National Council of Teachers of Mathematics, Reston, VA.
Schoenfeld, A. H. (1985).Mathematical problem solving. Orlando, FL: Academic Press.
Schoenfeld, A. H. (2002). Research methods in (mathematics) education. In L. English (Ed.),Handbook of international research in mathematics education (pp. 435–488). Mahwah, NJ: Erlbaum.
Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. In D. Grouws (Ed.),Handbook for Research on Mathematics Teaching and Learning, (pp. 334–370), New York: MacMillan.
Shell Centre (1984), Swan, M., Pitt, J., Fraser, R. E., & Burkhardt, H.,Problems with Patterns and Numbers. Joint Matriculation Board, Manchester, U.K.: reprinted 2000, Shell Centre Publications, Nottingham, U.K., URL: http://www.mathshell.com/scp/index.htm
Shell Centre (1987~89). Swan, M., Binns, B., Gillespie, J., & Burkhardt, H.,Numeracy through Problem Solving, five modules for curriculum and assessment in mathematical literacy, Harlow: Longman, revised 2000, Nottingham, U.K.: Shell Centre Publications,
SMSG (1958~72). Chronology at http://jwilson.coe.uga.edu/SMSG/SMSG.html;
SMSG (1962).Mathematics for the Elementary School, School Mathematics Study Group
Swan, M. with the Shell Centre team: (1986).The Language of Functions and Graphs, Manchester, U.K.: Joint Matriculation Board, reprinted 2000, Nottingham, U.K.: Shell Centre Publications,
Steen, L. A. v: (2002).Mathematics and Democracy: the case for quantitative literacy, National Council on Education and the Disciplines (NCED), USA. URL http://www.maa.org/ql/mathanddemocracy.html
Treilibs, V., Burkhardt, H., & Low, B. (1980).Formulation processes in mathematical modelling, Nottingham: Shell Centre Publications.
UMTC (1976-).Proceedings of the Undergraduate Mathematics Teaching Conferences, Nottingham: Shell Centre Publications
USMES (1969).Unified Sciences and Mathematics for Elementary Schools:http://books.nap.edu/ openbook/0309052939/html/129.html