Teaching and learning mathematics in context
著者
書誌事項
Teaching and learning mathematics in context
(Ellis Horwood series in mathematics and its applications)
Ellis Horwood, 1993
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注記
Includes bibliographical references
内容説明・目次
目次
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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