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Ron Aharoni - Arithmetic for Parents: A Book for Grown-Ups About Childrens Mathematics: A Book for Grown-Ups About Childrens Mathematics (Revised Edition)

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Ron Aharoni Arithmetic for Parents: A Book for Grown-Ups About Childrens Mathematics: A Book for Grown-Ups About Childrens Mathematics (Revised Edition)
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Arithmetic for Parents: A Book for Grown-Ups About Childrens Mathematics: A Book for Grown-Ups About Childrens Mathematics (Revised Edition): summary, description and annotation

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This book is the result of a unique experience: a research mathematician teaching in an elementary school. It tells about a fascinating discovery made by the author - that elementary mathematics has a lot of depth and beauty, and that the secret to its teaching is in understanding its deep points. The first part of the book discusses the nature of mathematics and its beauty. The second part tells about the teaching principles the author distilled from his experience. The third part is an excursion through the arithmetic studied in elementary school, accompanied by personal stories, historical anecdotes and teaching suggestions. The appendix relates the fascinating story of modern day politics of mathematical education. The book was a bestseller in Israel, and has been translated into many languages. The extraordinary combination of mathematical and didactic insights makes it an essential guide for parents and teachers alike.

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Algebra for Parents A Book for Grown-Ups About Middle School - photo 1

Algebra

for Parents

A Book for Grown-Ups About

Middle School Mathematics

Other World Scientific Titles by the Author

Arithmetic for Parents: A Book for Grown-Ups About Childrens Mathematics Revised Edition

ISBN: 978-981-4602-89-1

ISBN: 978-981-4602-90-7 (pbk)

Mathematics, Poetry and Beauty

ISBN: 978-981-4602-93-8

ISBN: 978-981-4602-94-5 (pbk)

Circularity: A Common Secret to Paradoxes, Scientific Revolutions and Humor

ISBN: 978-981-4723-67-1

ISBN: 978-981-4723-68-8 (pbk)

Algebra

for Parents

A Book for Grown-Ups About

Middle School Mathematics

Ron Aharoni Technion Israel institute of Technology Israel - photo 2

Ron Aharoni

Technion, Israel institute of Technology, Israel

Published by World Scientific Publishing Co Pte Ltd 5 Toh Tuck Link - photo 3

Published by

World Scientific Publishing Co. Pte. Ltd.

5 Toh Tuck Link, Singapore 596224

USA office:27 Warren Street, Suite 401-402, Hackensack, NJ 07601

UK office:57 Shelton Street, Covent Garden, London WC2H 9HE

Library of Congress Cataloging-in-Publication Data

Names: Aharoni, Ron, author.

Title: Algebra for parents : a book for grown-ups about middle school mathematics / Ron Aharoni, Technion, Israel Institute of Technology, Israel.

Description: New Jersey : World Scientific, [2021]

Identifiers: LCCN 2020041069 | ISBN 9789811209222 (hardcover) | ISBN 9789811210747 (paperback) | ISBN 9789811209239 (ebook for institutions) | ISBN 9789811209246 (ebook for individuals)

Subjects: LCSH: Algebra--Study and teaching. | Algebra--Study and teaching (Middle school)

Classification: LCC QA152.3 .A24 2021 | DDC 512.9071/2--dc23

LC record available at https://lccn.loc.gov/2020041069

British Library Cataloguing-in-Publication Data

A catalogue record for this book is available from the British Library.

Copyright 2021 by World Scientific Publishing Co. Pte. Ltd.

All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the publisher.

For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher.

For any available supplementary material, please visit

https://www.worldscientific.com/worldscibooks/10.1142/11524#t=suppl

Desk Editor: Liu Yumeng

Typeset by Stallion Press

Email:

Printed in Singapore

Contents
Introduction

Mathematics is for the lazy. It means letting the principles do the work for you.

George Polya, a Hungarian-American mathematician and educator.

For the lazy? You must be kidding, Professor Polya. Everybody knows that mathematics is the hardest academic subject! Go entice others with promises of easy life.

But Polya means precisely what he says. In fact, this is true for all abstract thinking. A short-term effort results in a long term economy. We invent an abstraction, say cat, and using it we know what to expect from every cat we meet, instead of learning anew how to behave with such a creature every time we meet one. A one-time investment bears long range fruit.

So, why does Polya speak of mathematics, among all abstractions?

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