MECHANICS, MODELLING AND PEDAGOGY: REFLECTIONS ON THE DESIGN OF CONTEXTS FOR NEW TECHNOLOGIES

References

• Apostel , L. 1960 . ‘Towards a Formal Study of Models in the Non-formal Sciences’ . Synthese , 12 : 125 – 161 .
   Google Scholar
• Berry , J. 1990 . ‘Developments in Mechanics Teaching’ . Teaching Mathematics and its Applications , 9 ( 3 ) : 118 – 123 .
   Google Scholar
• Berry , J. and Graham , T. 1991 . ‘Using Concept Questions in Teaching Mechanics’ . International Journal of Mathematics Education in Science and Technology , 22 : 749 – 757 .
   Google Scholar
• Bliss , J. 1994 . “ ‘From Mental Models to Modelling’ ” . In Learning with Artificial Worlds: Computer-Based Modelling in the Curriculum , Edited by: Mellar , H. , Bliss , J. , Boohan , R. and Tompsett , C. 27 – 32 . London : Falmer Press .
   Google Scholar
• Cajori , F. 1934 . Newton's Principia. Translated by Andrew Motte. (1729) , Berkeley : University of California Press .
   Google Scholar
• Confrey , J. 1990 . ‘A review of the research on students conceptions in mathematics, science and programming’ . Review of Educational Research , 16 : 3 – 56 .
   Google Scholar
• diSessa , A. A. 1985 . ‘A Principled Design for Integrated Computational Environments’ . Human-Computer Interaction , 1 : 1 – 45 .
   Google Scholar
• Doerr , H. 1997 . ‘Experiment, simulation and analysis: an integrated instructional approach to the concept of force’ . International Journal of Science Education , 19 ( 3 ) : 265 – 282 .
   Web of Science ®Google Scholar
• Gem Software : The Newton Microworld for Nimbus Computers . 58 Parklands Avenue, Lillington, Lemington Spa, Warwickshire .
   Google Scholar
• Goodchild , S. : 1997 , ‘ Mechanics in Action for Windows ’. CTI Summer Newsletter . Birmingham : CTI .
   Google Scholar
• Graham , T. and Berry , J. 1996 . ‘A hierarchical model of development of student understanding of momentum’ . International Journal of Science Education , 18 ( 1 ) : 75 – 89 .
   Web of Science ®Google Scholar
• Hanna , G. and Jahnke , N. 1996 . “ ‘Proof and proving’ ” . In International Handbook of Research in Mathematics Education , Edited by: Bishop , A. J. , Clements , K. , Keitel , C. , Kilpatrick , J. and Laborde , C. 877 – 908 . Dordrecht : Kluwer Academic Press .
   Google Scholar
• Knowledge Revolution .: Interactive Physics . 66 Bovet Road, Suite 200, San Mateo. California. Available from: Interactive Learning Europe, (http:www.awl-ile.com) .
   Google Scholar
• Kitchen , A. , Savage , M. and Williams , J. 1997 . ‘The Continuing Relevance of Mechanics in A-Level Mathematics’ . Teaching Mathematics and its Applications , 16 ( 4 ) : 165 – 170 .
   Google Scholar
• Kowalski , R. 1979 . Logic for Problem Solving , Oxford : North Holland Publishers .
   Google Scholar
• Laborde , C. and Laborde , J-M. 1995 . “ ‘What about a learning environment where euclidean concepts are manipulated with a mouse?’ ” . In Computers and Exploratory Learning. NATO ASI Series F: Computer and Systems Science , Edited by: diSessa , A. , Hoyles , C. and Noss , R. Vol. 146 , 241 – 262 . Springer : Berlin .
   Google Scholar
• Lawson , D. A. and Tabor , J. H. 1997 . “ ‘Computer-Based Experiments in Mechanics’ ” . In Teaching and Learning Mathematical Modelling , Edited by: Houston , K. 321 – 330 . Ellis Horwood : Chichester .
   Google Scholar
• Mandinach , E. B. and Kline , H. F. 1994 . ‘Modelling and Simulation in the Secondary School Curriculum: The Impact on Teachers’ . Interactive Learning Environments , 4 ( 3 ) : 271 – 298 .
   Google Scholar
• Mechanics in Action : Mechanics in Action Project . Sheffield, School of Mathematics and Statistics, University of Sheffield .
   Google Scholar
• Norman , D. A. and Draper , S. W. 1986 . User Centred System Design. New Perspectives on the Human-Computer Interaction , New Jersey : Ablex Publishing Co .
   Google Scholar
• Orton , A. 1985 . Studies in Mechanics Learning , Leeds, University of Leeds Centre for Studies in Science and Mathematics Education .
   Google Scholar
• Papert , S. 1980 . Mindstorms. Children, Computers and Powerful Ideas , Brighton : Harvester Press .
   Google Scholar
• Sewell , D. F. and Rotheray , D. R. 1987 . ‘The Application of Computers in Education’ . Prospects , XVII ( 3 ) : 379 – 386 .
   Google Scholar
• Smart , T. and Burns , S. 1988 . “ ‘Sixth Form Girls Using Computers to Explore Newtonian Mechanics’ ” . In Girls and Computers. General Issues and Case Studies of Logo in the Mathematics Classroom , Edited by: Hoyles , C. 64 – 73 . Bedford Way papers 34, Institute of Education .
   Google Scholar
• Stevenson I. J. : 1996 , The Iterative Design of Computer-based Microworld for Non-euclidean Geometry . Unpublished PhD Thesis . : Institute of Education, University of London .
   Google Scholar
• Stevenson , I. J. and Noss , R. 1999 . Supporting the Evolution of Mathematical Meaning: the case of Non-euclidean Geometry’ . International Journal of Computers for Mathematics Learning , 3 ( 3 ) : 229 – 254 .
   Google Scholar
• Tabor , J. H. 1994 , ‘ The Mechanics module in Mathwise ’. Using Computers to teach Applied Mathematics. CTI Mathematics Workshop 17 . Birmingham : CTI Centre . http://www.bham.ac.uk/ctimath/workshops/wimp.htm .
   Google Scholar