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E-grāmata: Mathematical Modelling for Teachers: Resources, Pedagogy and Practice [Taylor & Francis e-book]

(Nanyang Technological University, National Institute of Education, Singapore)
  • Formāts: 172 pages, 35 Tables, black and white; 68 Line drawings, black and white; 25 Halftones, black and white
  • Izdošanas datums: 07-Aug-2018
  • Izdevniecība: Routledge
  • ISBN-13: 9781351247979
  • Taylor & Francis e-book
  • Cena: 155,64 €*
  • * this price gives unlimited concurrent access for unlimited time
  • Standarta cena: 222,34 €
  • Ietaupiet 30%
  • Formāts: 172 pages, 35 Tables, black and white; 68 Line drawings, black and white; 25 Halftones, black and white
  • Izdošanas datums: 07-Aug-2018
  • Izdevniecība: Routledge
  • ISBN-13: 9781351247979

Mathematical Modelling for Teachers: Resources, Pedagogy and Practice provides everything that teachers and mathematics educators need to design and implement mathematical modelling activities in their classroom. Written by an expert in Singapore, the global leader in mathematics education, it is written with an international readership in mind.

This book focuses on practical classroom ideas in mathematical modelling suitable to be used by mathematics teachers at the secondary level. As they are interacting with students all the time, teachers generally have good ideas for possible mathematical modelling tasks. However, many have difficulty translating those ideas into concrete modelling activities suitable for a mathematics classroom. In this book, a framework is introduced to assist teachers in designing, planning and implementing mathematical modelling activities, and its use is illustrated through the many examples included. Readers will have access to modelling activities suitable for students from lower secondary levels (Years 7 and 8) onwards, along with the underlying framework, guiding notes for teachers and suggested approaches to solve the problems. The activities are grouped according to the types of models constructed: empirical, deterministic and simulation models. Finally, the book gives the reader suggestions of different ways to assess mathematical modelling competencies in students.

Preface vii
1 Introducing mathematical modelling
1(23)
Introduction
1(1)
What is mathematical modelling?
1(1)
Approaches to mathematical modelling
2(8)
Modelling skills and competencies
10(2)
A useful modelling tool
12(12)
2 Teaching mathematical modelling
24(15)
Introduction
24(1)
Mathematical modelling classrooms
24(2)
Teacher readiness
26(1)
Levels of learning experience
27(2)
A framework for teaching mathematical modelling
29(10)
3 Empirical modelling
39(21)
Introduction
39(1)
Playing detective
39(4)
In deep water
43(4)
Growing mould
47(4)
Pass it on
51(4)
To cross or not to cross?
55(5)
4 Deterministic modelling
60(23)
Introduction
60(1)
Correct me if I'm wrong
60(5)
Design and park
65(4)
A draining experience
69(4)
Cover up
73(4)
Let's dart
77(6)
5 Simulation modelling
83(27)
Introduction
83(1)
Break it up
83(5)
A walk in the park
88(4)
Pick a door
92(5)
Drop the needle
97(5)
Who do we hire'
102(8)
6 Mathematical modelling projects
110(25)
Introduction
110(1)
A model for queues
110(6)
The SARS epidemic
116(7)
A checksum algorithm
123(4)
Testing Torricelli
127(8)
7 Assessing mathematical modelling
135(16)
Introduction
135(1)
Assessing the process
136(2)
Assessing modelling competencies
138(7)
Assessing modelling projects
145(6)
8 Conclusion
151(6)
Introduction
151(1)
Resources on the Web
151(3)
Advice for teachers
154(2)
Final remarks
156(1)
Appendix A The Solver tool 157(4)
Appendix B Sample lesson plan and handouts 161(8)
Index 169
Ang Keng Cheng is an Associate Professor of Mathematics and Mathematics Education, and the Associate Dean for Higher Degrees at the National Institute of Education, Nanyang Technological University, Singapore.