Applied mathematical problem solving, modelling, applications, and links to other subjects ? State, trends and issues in mathematics instruction

Werner Blum; Mogens Niss

doi:10.1007/bf00302716

journal article Feb 01, 1991

Applied mathematical problem solving, modelling, applications, and links to other subjects ? State, trends and issues in mathematics instruction

Werner Blum Mogens Niss

Educational Studies in Mathematics Vol. 22 No. 1 pp. 37-68 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf00302716

Topics

No keywords indexed for this article. Browse by subject →

References

50

[1]

Bell, M.: 1983, ?Materials available worldwide for teaching applications of mathematics at the school level?, in M.Zweng et al. (eds.), Proceedings of the Fourth International Congress on Mathematical Education, Birkhäuser, Boston, pp. 252?267.

[2]

Berry, J. et al. (eds.): 1984, Teaching and Applying Mathematical Modelling, Horwood, Chichester.

[3]

Berry, J. et al. (eds.): 1986, Mathematical Modelling Methodology, Models and Micros, Horwood, Chichester.

[4]

Berry, J. et al. (eds.): 1987, Mathematical Modelling Courses, Horwood, Chichester.

[5]

Binns, B. et al.: 1989, ?Mathematical modelling in the school classroom: Developing effective support for representative teachers?, in Blum, W. et al. (eds.), pp. 136?143.

[6]

Blechman, I., My?kis, A. and Panoyko, J.: 1984, Angewandte Mathematik, Deutscher Verlag der Wissenschaften, Berlin-Ost (Original in Russian: ?. ? ???????/?. ?. ??????/?/td>. ?. ???????: ????????? ??????????-???????. ??????. ??????????? ????????. ??????? ?????, ???? 1976.)

[7]

Blum, W.: 1985, ?Anwendungsorientierter Mathematikunterricht in der didaktischen Diskussion?, Mathematische Semesterberichte 32, 195?232.

[8]

Blum, W.: 1988, ?Report on Theme Group 6: Mathematics and Other Subjects?, in A.Hirst & K.Hirst (eds.), Proceedings of the Sixth International Congress on Mathematical Education, János Bolyai Mathematical Society, Budapest, pp. 277?291.

[9]

Blum, W. et al. (eds.): 1989, Applications and Modelling in Learning and Teaching Mathematics, Horwood, Chichester.

[10]

Blum, W., Niss, M. and Huntley, I. (eds.): 1989, Modelling, Applications and Applied Problem Solving ? Teaching Mathematics in a Real Context, Horwood, Chichester.

[11]

Böer, H. and Meyer-Lerch, J.: 1989, ?MUED: The role of Handlungsorientierung in mathematics teaching?, in Blum, W. et al. (eds.), pp. 201?206.

[12]

Burghes, D., Huntley, I. and McDonald, J.: 1982, Applying Mathematics ? A Course in Mathematical Modelling, Horwood, Chichester.

[13]

Burkhardt, H. (ed.): 1983, An International Review of Applications in School Mathematics, ERIC, Ohio.

[14]

Burkhardt, H.: 1989, ?Modelling and curriculum change?, Teaching Mathematics and its Applications 8, 158?161. 10.1093/teamat/8.4.158

[15]

Burkhardt, H. et al. (eds.): 1988, Problem Solving ? A World View; Proceedings of Problem Solving Theme Group ICME-5, Shell Centre, Nottingham.

[16]

Bushaw, D. et al. (eds.): 1980, A Sourcebook of Applications of School Mathematics, NCTM, Reston.

[17]

Churchhouse, R. et al. (eds.): 1986, The Influence of Computers and Informatics on Mathematics and its Teaching, Cambridge University Press, Cambridge.

[18]

Clements, R. et al. (eds.): 1988, Selected Papers on the Teaching of Mathematics as a Service Subject, Springer, Berlin/Heidelberg/New York.

[19]

Cross, M. and Moscardini, A.: 1985, Learning the Art of Mathematical Modelling, Horwood, Chichester.

[20]

Edwards, D. and Hamson, M.: 1989, Guide to Mathematical Modelling, Mcmillan, London. 10.1007/978-1-349-10042-2

[21]

Fraser, R.: 1989, ?Role of computers for application and modelling: The ITMA approach?, in Blum, W. et al. (eds.), pp. 373?380.

[22]

Galbraith, P. and Carr, A.: 1987, Practical Applications of Mathematics ? Proposal for an Australian Curriculum Project, Churchill, Victoria.

[23]

Giordano, F. and Weir, M.: 1985, A First Course in Mathematical Modelling, Brooks/Cole, Monterey.

[24]

Hobbs, D. and Burghes, D.: 1989, ?Enterprising mathematics: A cross-curricular modular course for 14?16 year-olds?, in Blum, W. et al. (eds.), pp. 159?165.

[25]

Howson, G. and McLone, R. (eds.): 1983, Maths at Work, Heinemann, London.

[26]

Howson, G. and Wilson, B. (eds.): 1986, School Mathematics in the 1990s, Cambridge University Press, Cambridge.

[27]

Howson, G. et al. (eds.): 1988, Mathematics as a Service Subject, Cambridge University Press, Cambridge.

[28]

Kaiser, G., Blum, W. and Schober, M.: 1982/1990, Dokumentation ausgewählter Literatur zum anwendungsorientierten Mathematikunterricht, Vol.1/2, FIZ, Karlsruhe.

[29]

Kaiser-Messmer, G.: 1986, Anwendungen im Mathematikunterricht, Vol. 1/2, Franzbecker, Bad Salzdetfurth.

[30]

Klamkin, M. (ed.): 1987, Mathematical Modelling ? Classroom Notes in Applied Mathematics, SIAM, Philadelphia.

[31]

DeLange, J.: 1987, Mathematics ? Insight and Meaning, OW & OC, Utrecht.

[32]

Lesh, R., Niss, M. and Lee, D.: 1986, Report on Theme Group 6: Applications and Modelling, in Carss, M. (ed.), Proceedings of the Fifth International Congress on Mathematical Education, Birkhäuser, Boston, pp. 197?211.

[33]

Meyer, W.: 1984, Concepts of Mathematical Modeling, McGraw-Hill, New York.

[34]

Niss, M.: 1987, ?Applications and modelling in the mathematics curriculum ? state and trends?, International Journal for Mathematical Education in Science and Technology 18, 487?505. 10.1080/0020739870180401

[35]

Niss, M.: 1988, ?Report on Theme Group 3: Problem Solving, Modelling and Applications?, in A. & K. Hirst (eds.), Proceedings of the Sixth International Congress on Mathematical Education, Budapest, pp. 237?252.

[36]

Niss, M.: 1989, ?Aims and scope of applications and modelling in mathematics curricula?, in Blum, W. et al. (eds.), pp. 22?31.

[37]

Niss, M., Blum, W. and Huntley, I. (eds.): 1990, Teaching Mathematical Modelling and Applications, Horwood, Chichester.

[38]

Ormell, C.: 1982, The Applicability of Mathematics, Maths Applicable Group, Norwich.

[39]

Pollak, H.: 1979, ?The interaction between mathematics and other school objects?, New Trends in Mathematics Teaching IV, (ed: UNESCO), Paris, pp. 232?248.

[40]

Pollak, H.: 1989, ?Recent applications of mathematics and their relevance to teaching?, in Blum, W. et al. (eds.), pp. 32?36.

[41]

Rogerson, A.: 1986, ?The Mathematics in Society Project: A new conception of mathematics?, International Journal for Mathematical Education in Science and Technology 17, 611?616. 10.1080/0020739860170510

[42]

Schoenfeld, A.: 1985, Mathematical Problem Solving, Academic Press, Orlando.

[43]

Selkirk, K.: 1982, Pattern and Place ? An Introduction to the Mathematics of Geography, Cambridge University Press, Cambridge.

[44]

Silver, E. (ed.): 1985, Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives, Erlbaum, Hillsdale.

[45]

Sloyer, C.: 1989, ?Contemporary ideas in applied mathematics?, in Blum, W. et al. (eds.), pp. 258?261.

[46]

Steiner, H.-G.: 1976, ?Zur Methodik des mathematisierenden Unterrichts?, in Dörfler, W. and Fischer, R. (eds.), Anwendungsorientierte Mathematik in der Sekundarstufe II, Heyn, Klagenfurt, pp. 211?245.

[47]

Townend, S.: 1984, Mathematics in Sport, Horwood, Chichester.

[48]

Usiskin, Z.: 1989, ?The sequencing of applications and modelling in the University of Chicago School Mathematics Project 7-12 curriculum?, in Blum, W. et al. (eds.), pp. 176?181.

[49]

Volk, D.: 1989, ?Mathematics classes and enlightenment?, in Blum, W. et al. (eds.), pp. 187?191.

[50]

Wan, F.: 1989, Mathematical Models and Their Analysis, Harper & Row, New York.

Cited By

397

Word problems in mathematics education: a survey

Lieven Verschaffel, Stanislaw Schukajlow · 2020

ZDM – Mathematics Education

A global survey of international perspectives on modelling in mathematics education

Gabriele Kaiser, Bharath Sriraman · 2006

ZDM – Mathematics Education

Metrics

397

Citations

50

References

Details

Published: Feb 01, 1991
Vol/Issue: 22(1)
Pages: 37-68
License: View

Authors

W

Werner Blum

Institute of Mathematics, University of Kassel, Kassel, Germany

M

Mogens Niss

Cite This Article

Werner Blum, Mogens Niss (1991). Applied mathematical problem solving, modelling, applications, and links to other subjects ? State, trends and issues in mathematics instruction. Educational Studies in Mathematics, 22(1), 37-68. https://doi.org/10.1007/bf00302716

Applied mathematical problem solving, modelling, applications, and links to other subjects ? State, trends and issues in mathematics instruction

You May Also Like