Real-World Problems for Secondary School Mathematics Students Case S

This is a book full of ideas for introducing real world problems into mathematics classrooms and assisting teachers and students to benefit from the experience. Taken as a whole these contributions provide a rich resource for mathematics teachers and thei

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Real-World Problems for Secondary School Mathematics Students Case Studies Edited by

Juergen Maasz University of Linz, Austria

John O’Donoghue University of Limerick, Ireland

SENSE PUBLISHERS ROTTERDAM/BOSTON/TAIPEI

A C.I.P. record for this book is available from the Library of Congress.

ISBN: 978-94-6091-541-3 (paperback) ISBN: 978-94-6091-542-0 (hardback) ISBN: 978-94-6091-543-7 (e-book)

Published by: Sense Publishers, P.O. Box 21858, 3001 AW Rotterdam, The Netherlands www.sensepublishers.com

Printed on acid-free paper Image – The Living Bridge, University of Limerick. © Patrick Johnson, 2008. “The Living Bridge – An Droichead Beo” The Living Bridge is the longest pedestrian bridge in Ireland and links both sides of the University of Limerick’s campus across the river Shannon. The bridge is constructed of 6 equal spans and follows a 350 metre long curved alignment on a 300 metre radius.

All Rights Reserved © 2011 Sense Publishers No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.

TABLE OF CONTENTS

Preface.................................................................................................................... vii 1. Modelling in Probability and Statistics: Key Ideas and Innovative Examples ......................................................................................... 1 Manfred Borovcnik and Ramesh Kapadia 2. Problems for the Secondary Mathematics Classrooms on the Topic of Future Energy Issues ................................................................................... 45 Astrid Brinkmann and Klaus Brinkmann 3. Coding Theory................................................................................................. 67 Tim Brophy 4. Travelling to Mars: A Very Long Journey: Mathematical Modelling in Space Travelling.......................................................................................... 87 Jean Charpin 5. Modelling the Storage Capacity of 2D Pixel Mosaics..................................... 99 Simone Göttlich and Thorsten Sickenberger 6. Mathematics for Problems in the Everyday World ....................................... 113 Günter Graumann 7. Political Polls and Surveys: The Statistics Behind the Headlines ................. 123 Ailish Hannigan 8. Correlations between Reality and Modelling: “Dirk Nowitzki Playing for Dallas in the NBA (U.S.A.)” ................................................................... 137 Herbert Henning and Benjamin John 9. Exploring the Final Frontier: Using Space Related Problems to Assist in the Teaching of Mathematics .................................................................... 155 Patrick Johnson 10. What are the Odds? ......................................