Early Numeracy: Assessment for Teaching and Intervention

Robert J Wright,  James Martland, Ann K Stafford


Sage Publications | 2006 | 224 páginas | PDF | 21,4 Mb

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Descrição: The assessment tools in this revised edition help teachers identify children's difficulties and misconceptions and become more skilled and confident in planning programs for intervention and monitoring children's progress.

Table of Contents
1 Children, numeracy and mathematics recovery 112 The learning framework in number 193 The LFIN and the assessment interview schedule 1.1 304 The stages of early arithmetical learning (SEAL) 515 Identifying the stages of early arithmetical learning 756 Assessment interview schedule 1.2 927 Part C of the LFIN : assessment interview schedules 2.1 and 2.2 1038 Assessment interview schedules 3.1 and 3.2 1199 Recording, coding and analyzing the assessment interview schedules 14510 Linking the assessment to teaching 152

Children and Number: Difficulties in Learning Mathematics

Martin Hughes
Wiley-Blackwel | 1991 | 208 páginas | PDF | 10,1 Mb

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Descrição: The importance of learning mathematics is constantly stressed by educationalists and employers alike. Yet survey after survey shows that large numbers of children leave school lacking both competence and interest in mathematics. What is going wrong and what should be done about it?
In Children and Number Martin Hughes proposes a new perspective on children's early attempts to understand mathematics. He describes the surprisingly substantial knowledge about number which children acquire naturally before they start school, and contrasts this with the difficulties presented by the formal written symbolism of mathematics in the classroom. He argues that children need to build links between their informal and their formal understanding of number, and shows what happens when these links are not made.Children and Number describes many novel ways in which young children can be helped to learn about number. The author shows that the written symbols children often invent for themselves are more meaningful to them than the symbols that they are taught. He presents simple number games for introducing children to mathematical symbols in ways they can appreciate and understand. Dr. Hughes also describes how the computer language LOGO can be adapted for young children, and shows the dramatic effect that LOGO can have on their mathematical understanding.

Number Story: From Counting to Cryptography

Peter Michael Higgins

Springer | 2008 | 324 páginas | pdf | 1 Mb

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Descrição: Numbers have fascinated people for centuries. They are familiar to everyone, forming a central pillar of our understanding of the world, yet the number system was not presented to us "gift-wrapped" but, rather, was developed over millennia. Today, despite all this development, it remains true that a child may ask a question about numbers that no one can answer. Many unsolved problems surrounding number matters appear as quirky oddities of little account while others are holding up fundamental progress in mainstream mathematics.Peter Higgins distills centuries of work into one delightful narrative that celebrates the mystery of numbers and explains how different kinds of numbers arose and why they are useful. Full of historical snippets and interesting examples, the book ranges from simple number puzzles and magic tricks, to showing how ideas about numbers relate to real-world problems, such as: How are our bank account details kept secure when shopping over the internet? What are the chances of winning at Russian roulette; or of being dealt a flush in a poker hand?This fascinating book will inspire and entertain readers across a range of abilities. Easy material is blended with more challenging ideas about infinity and complex numbers, and a final chapter "For Connoisseurs" works through some of the particular claims and examples in the book in mathematical language for those who appreciate a complete explanation.As our understanding of numbers continues to evolve, this book invites us to rediscover the mystery and beauty of numbers and reminds us that the story of numbers is a tale with a long way to run...

Teaching Number Sense

Julia Anghileri

Continuum | 2006 - 2ª edição | 153 páginas | pdf |  2,43 Mb

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Descrição: What is number sense? How does children's number sense develop? What are the most effective teaching methods and resources? How can research findings inform classroom practice? The fully revised second edition of the best-selling "Teaching Number Sense" is the book to help you answer these questions, and more. This new edition boasts a new chapter on 'The empty number line' as well as a wealth of material on all the latest trends and innovations in mathematics teaching to support children's learning. It is a specialist text that uses a balance of theory and practice to help teachers deal with the problems and issues they will encounter in mathematics teaching, including examples for use specifically in the classroom. This book will prove essential reading for trainee and established mathematics teachers alike.
Outros livros da mesma autora disponível para download:Children's Mathematical Thinking In the Primary Years: Perspectives on Children's Learning (link)
Outros livros da mesma autora não disponíveis para download:

Principles and Practice in Arithmetic Teaching
Buckingham: Open University Press, 2001
ISBN 0335206336, 9780335206339

206 páginas

Developing Number Sense Progression in the Middle YearsContinuum International Publishing Group, 2008
ISBN 1847061265, 9781847061263
176 páginas

The Historical Roots of Elementary Mathematics

(Dover books explaining science)
Lucas N. H. Bunt, Phillip S. Jones, Jack D. Bedient
Dover Publications | 1988 | 320 páginas | djvu | 5 Mb

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depositfiles.com

Descrição: Exciting, hands-on approach to understanding fundamental underpinnings of modern arithmetic, algebra, geometry and number systems, by examining their origins in early Egyptian, Babylonian and Greek sources. Students can do division like the ancient Egyptians, solve quadratic equations like the Babylonians and more.

Aha! Solutions

(MAA Problem Book Series)

Martin J. Erickson
(página do autor: erickson.sites.truman.edu)

The Mathematical Association of America | 2008 | 207 páginas | rar - PDF |  1,2 Mb

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Descrição: Every mathematician (beginner, amateur, and professional alike) thrills to find simple, elegant solutions to seemingly difficult problems. Such happy resolutions are called ``aha! solutions,'' a phrase popularized by mathematics and science writer Martin Gardner. Aha! solutions are surprising, stunning, and scintillating: they reveal the beauty of mathematics.This book is a collection of problems with aha! solutions. The problems are at the level of the college mathematics student, but there should be something of interest for the high school student, the teacher of mathematics, the ``math fan,'' and anyone else who loves mathematical challenges.This collection includes one hundred problems in the areas of arithmetic, geometry, algebra, calculus, probability, number theory, and combinatorics. The problems start out easy and generally get more difficult as you progress through the book. A few solutions require the use of a computer. An important feature of the book is the bonus discussion of related mathematics that follows the solution of each problem. This material is there to entertain and inform you or point you to new questions. If you don't remember a mathematical definition or concept, there is a Toolkit in the back of the book that will help.

Contents

Preface
1 Elementary Problems
2 Intermediate Problems
3 Advanced Problems
A Toolkit
B List of Bonuses
Bibliography
Index

Outros livros do mesmo autor:

Beautiful Mathematics
Principles of Mathematical Problem Solving

Sherlock Holmes in Babylon and Other Tales of Mathematical History

(Spectrum)
Victor Katz, Robin Wilson

The Mathematical Association of America | 2004 | 398 páginas | pdf | 7
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Descrição: This book is a collection of 44 articles on the history of mathematics, published in MAA journals over the past 100 years. Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, it chronicles the enormous changes in mathematical thinking over this time, as viewed by distinguished historians of mathematics from the past (Florian Cajori, Max Dehn, David Eugene Smith, Julian Lowell Coolidge and Carl Boyer) and the present.Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included, to show how knowledge and vies about the topic changed over the years.This book will be enjoyed by anyone interested in mathematics and its history – and in particular by mathematics teachers at secondary, college, and university level.