Teaching Learning Mathematics In Context

Teaching Learning Mathematics In Context

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Product details

  • Paperback | 260 pages
  • 176 x 240 x 19mm | 561g
  • Addison Wesley
  • Boston, United States
  • English
  • 0130310069
  • 9780130310064

Table of contents

Contents


Preface v


Section 1

WHAT IS MATHEMATICAL MODELLING?


1 Blum, W

Mathematical modelling in mathematics education and instruction 3


2 Carr, A

Problems and projects for teaching modelling 15


3 Usiskin, Z

Conceptions of mathematical modelling and their implications for the future 26



Section 2

EXAMPLES AND ISSUES


2.1 Primary education


4 Neuman,D

Exploring numbers through subtraction in primary mathematics 37


5 Gravemeijer, K

Modelling two-digit addition and subtraction with an empty number line 51


ii


6 Athanasopoulos, P, Patronis, T, Potari, D, Spanos, D and Spiliotopoulou, V

Constructing a village: a cross-curricular activity 62


7 Bell, M

Modelling and applications of mathematics in the primary curriculum 71



2.2 Lower secondary education


8 Rouncefield, M

Statistical simulations 81



9 Gillespie, J and Phillips, R

Interactive video as an aid to modelling 93


10 Abrantes, P

Learning activities involving mathematics in real-life situations 103


11 Yanagimoto, A, Mori, Y and Matsumiya, T

Mathematics of track and field events - Composite Real Mathematics approach 115


12 Steeg, T and Williams, J

Units of mathematics in integrated projects with science and technology 127


2.3 Upper secondary education


13 Kitchen, A and Williams, J

Implementing and assessing mathematical modelling in the academic 16-19 curriculum 138


14 Choate, J

Iterative models in the secondary mathematics curriculum:

some examples 151


iii

15 Money, R

Mathematical modelling today and tomorrow 163


2.4 Tertiary education


16 Graham, E

Mathematical modelling in an extended engineering course 173


17 Abel, H

Industrial applications of mathematics for engineering students 184


Section 3

LOOKING AHEAD - RESEARCH ON MATHEMATICAL MODELLING


18 Haines, C, Izard, J and Le Masurier, D

Modelling intentions realised: assessing the full range of developed skills 200


19 Kaiser-Messmer, G

Reflections on future developments in the light of empirical research 213



20 da Ponte, J P

Necessary research in mathematical modelling and applications 219



21 Tanner, Hand Jones, S

Developing metacognition through peer and self assessment 228


22 Garfunkel, S

Future of mathematical modelling in the classroom 242
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