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Modelling and mathematics education : ICTMA 9 ; applications in science and technology ; [... papers presented at the 9th International Conference on the Teaching of Mathematical Modelling and Applications held in Lisbon in August 1999 ...] / ed. by João Filipe Matos .

Contributor(s): Material type: TextTextSeries: Ellis Horwood series in mathematics and its applicationsPublisher: Chichester : Horwood Pub., 2001Description: x, 422 pages : illustrations, charts ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 1898563667
  • 9781898563662
Subject(s): DDC classification:
  • 511.8
LOC classification:
  • Q183.A1 M6 2001
Contents:
Preface -- 1. Enacting possible worlds: Making sense of (human) nature -- 2. The mountain is the utility - On the metaphorical nature of mathematical models -- 3. The theory of multiple intelligences and mathematical modelling -- 4. Modelling modelling: Where is the centre of gravity of-for-when teaching modelling? -- 5. Fact, fiction, fiddle - Three types of models -- 6. Issues and problems of research on the teaching and learning of applications and modelling -- 7. Mathematical modelling by means of functional equations: The missing link in the learning of functions -- 8. Applications of simultaneous iteration -- 9. On the derivative of nondifferentiable functions -- 10. Mathematics before or through applications. Top-down and bottom-up understandings of linear and exponential functions -- 11. Formulating and assessing a mathematical modelling problem in a technological environment -- 12. The graphics calculator and mathematical modelling - Creating an integrated learning environment -- 13. Mobile classroom - A school project focussing on modelling -- 14. What should be asked of a computer program for mathematical modelling in primary/lower secondary school? -- 15. Modelling and algebra: How 'pure' shall we be? -- 16. Mathematical modelling in pre-service teacher education -- 17. Mathematical modelling in calculus courses -- 18. Mathematical modelling and technology in teacher education - Visions and reality -- 19. Modelling optimisation problems: From simple to realistic -- 20. Role of mathematical modelling and applications in university mathematics service courses: An across countries study -- 21. A mathematics curriculum for undergraduate courses based on mathematical modelling and computer science -- 22. Mathematical applications and modelling: A case study involving first year higher education students -- 23. Mathematical modelling with environmental students -- 24. Exploring different approaches to mathematical modelling in engineering calculus courses -- 25. From mathematical modelling to mathematical experiments -- 26. Modelling: Good problems - not only a question of (good) taste -- 27. Assumptions and context: Pursuing their role in modelling activity -- 28. The effect of task organisation on classroom modelling activities -- 29. Aiming for success: Modelling sports problems with an aiming theme -- 30. Context orientated teaching -- 31. Enculturation in mathematical modelling -- 32. Conceptual and procedural demands embedded in modelling tasks -- 33. Mathematical modelling by the pupils themselves - possibilities and limitations in school-leaving examination papers -- 34. Understanding students' modelling skills -- 35. The effects of students' discussion in mathematical modelling -- 36. Critical evaluation of models in relation to the modelling process -- 37. Mathematics of traffic safety - Composite real mathematics approach -- 38. Trigonometry with reference to modern land surveying techniques in maths lessons.
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Preface -- 1. Enacting possible worlds: Making sense of (human) nature -- 2. The mountain is the utility - On the metaphorical nature of mathematical models -- 3. The theory of multiple intelligences and mathematical modelling -- 4. Modelling modelling: Where is the centre of gravity of-for-when teaching modelling? -- 5. Fact, fiction, fiddle - Three types of models -- 6. Issues and problems of research on the teaching and learning of applications and modelling -- 7. Mathematical modelling by means of functional equations: The missing link in the learning of functions -- 8. Applications of simultaneous iteration -- 9. On the derivative of nondifferentiable functions -- 10. Mathematics before or through applications. Top-down and bottom-up understandings of linear and exponential functions -- 11. Formulating and assessing a mathematical modelling problem in a technological environment -- 12. The graphics calculator and mathematical modelling - Creating an integrated learning environment -- 13. Mobile classroom - A school project focussing on modelling -- 14. What should be asked of a computer program for mathematical modelling in primary/lower secondary school? -- 15. Modelling and algebra: How 'pure' shall we be? -- 16. Mathematical modelling in pre-service teacher education -- 17. Mathematical modelling in calculus courses -- 18. Mathematical modelling and technology in teacher education - Visions and reality -- 19. Modelling optimisation problems: From simple to realistic -- 20. Role of mathematical modelling and applications in university mathematics service courses: An across countries study -- 21. A mathematics curriculum for undergraduate courses based on mathematical modelling and computer science -- 22. Mathematical applications and modelling: A case study involving first year higher education students -- 23. Mathematical modelling with environmental students -- 24. Exploring different approaches to mathematical modelling in engineering calculus courses -- 25. From mathematical modelling to mathematical experiments -- 26. Modelling: Good problems - not only a question of (good) taste -- 27. Assumptions and context: Pursuing their role in modelling activity -- 28. The effect of task organisation on classroom modelling activities -- 29. Aiming for success: Modelling sports problems with an aiming theme -- 30. Context orientated teaching -- 31. Enculturation in mathematical modelling -- 32. Conceptual and procedural demands embedded in modelling tasks -- 33. Mathematical modelling by the pupils themselves - possibilities and limitations in school-leaving examination papers -- 34. Understanding students' modelling skills -- 35. The effects of students' discussion in mathematical modelling -- 36. Critical evaluation of models in relation to the modelling process -- 37. Mathematics of traffic safety - Composite real mathematics approach -- 38. Trigonometry with reference to modern land surveying techniques in maths lessons.

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