Last Night I Dreamed That I Was Weightless!

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Last Night I Dreamed That I Was Weightless!

your learning, your future Hello and Last night I welcome to issue 15 of the dreamed that I Shirebrook Maths was weightless! newsletter. 15 is I was like, 0mg. a triangular, Hexagonal and Pentatope number. This week we’ve got some discoveries, knowledge, some more GCSE tips and an argument in favour of old text books. New GCSE Content The second part of Jo Morgan’s excellent posts on what might be surprising about the new GCSE is here. Helpfully she points out useful resources to help teach these topics too. We invested in the “Mind the Gap” resources (mentioned in the post) and they should be a go to place when looking at teaching topics to your year 9 and 10s. Knowledge Organisers Knowledge organisers are becoming a popular way of structuring schemes of work. William Emeny (of Numeracy Ninjas fame) has written a great blog piece on them here. It’s worth checking them out. Old Textbooks Here is another blog post I read this week in defence of the old textbook. Although I agree with aspects of this I don’t agree with the only weakness cited. Textbooks are not cheap and do age badly. Similarly, unless you are in China where textbooks are updated and improved upon year on year, mistakes in textbooks stay fixed and teachers have very little control over their content. Nevertheless this is an interesting debate and the blog is well worth a read. New Prime Number This week a new prime number was discovered. It quite a big number, with around 22 million digits. It’s also a Mersenne Prime, meaning it is of the form 2푝 − 1 with p prime and has been found by combining the computing power of thousands of computers. There’s information on how you can join the search yourself in the article. This could be something to share with your classes next time you teach prime numbers. This week’s challenge (Courtesy of UKMT) Peter has 25 cards, each printed with a different integer from 1 to 25. He wishes to place cards in a single row so that the numbers on every adjacent pair of cards have a prime factor in common. N What is the largest value of for which this is possible? .

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TH E BOOK OF ~umbers THE BOO K o F umbers John H. Conway • Richard K. Guy c COPERNICUS AN IMPRINT OF SPRINGER-VERLAG © 1996 Springer-Verlag New York, Inc. Softcover reprint of the hardcover 1st edition 1996 All rights reserved. No part of this publication may be reproduced, stored in a re trieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. Published in the United States by Copernicus, an imprint of Springer-Verlag New York, Inc. Copernicus Springer-Verlag New York, Inc. 175 Fifth Avenue New York, NY lOOlO Library of Congress Cataloging in Publication Data Conway, John Horton. The book of numbers / John Horton Conway, Richard K. Guy. p. cm. Includes bibliographical references and index. ISBN-13: 978-1-4612-8488-8 e-ISBN-13: 978-1-4612-4072-3 DOl: 10.l007/978-1-4612-4072-3 1. Number theory-Popular works. I. Guy, Richard K. II. Title. QA241.C6897 1995 512'.7-dc20 95-32588 Manufactured in the United States of America. Printed on acid-free paper. 9 8 765 4 Preface he Book ofNumbers seems an obvious choice for our title, since T its undoubted success can be followed by Deuteronomy,Joshua, and so on; indeed the only risk is that there may be a demand for the earlier books in the series. More seriously, our aim is to bring to the inquisitive reader without particular mathematical background an ex planation of the multitudinous ways in which the word "number" is used.
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