Abacus Yr4/P5: Numeracy Support Book

Abacus Yr4/P5: Numeracy Support Book

Author: Ruth Merttens

Publisher: Ginn

Published: 2000-04-14

Total Pages: 68

ISBN-13: 9780602290849

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Aimed at pupils who are struggling with basic number work, this book is divided into maths skills. Each section provides alternative teaching strategies and practical techniques. Straightforward practical activities are suitable for a individual or group work.


Abacus Yr4/P5: Teacher Cards

Abacus Yr4/P5: Teacher Cards

Author: Ruth Merttens

Publisher: Ginn

Published: 2000-04-14

Total Pages: 132

ISBN-13: 9780602290771

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Each unit in the "New Abacus" programme begins with whole-class teaching. All the direct teaching to introduce a concept is on the front of the Teacher Card; the back has: further teaching; references to differentiated practical activities, workbook or textbook pages and photocopy masters.


1999 Abacus Year 4 / P5: Textbook Number 2

1999 Abacus Year 4 / P5: Textbook Number 2

Author: Ruth Merttens

Publisher: Ginn

Published: 2000-04-21

Total Pages: 76

ISBN-13: 9780602290801

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These textbooks allow independent practice of mathematical skills. They present the concepts at an appropriate reading level. Activities with an investigative or process-skill focus encourage creative and mathematical thinking. Problem-solving is included.


1999 Abacus Year 4 / P5: Textbook Number 1

1999 Abacus Year 4 / P5: Textbook Number 1

Author: Ruth Merttens

Publisher: Ginn

Published: 2000-04-14

Total Pages: 78

ISBN-13: 9780602290795

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These textbooks allow independent practice of mathematical skills. They present the concepts at an appropriate reading level. Activities with an investigative or process-skill focus encourage creative and mathematical thinking. Problem-solving is included.


Abacus Yr4/P5: Teacher Book (England and Wales)

Abacus Yr4/P5: Teacher Book (England and Wales)

Author: Ruth Merttens

Publisher: Ginn

Published: 2000-04-14

Total Pages: 52

ISBN-13: 9780602290887

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Covering the background and philosophy of the "New Abacus" programme, this book shows how it delivers UK curricula requirements, offering examples of good practice in planning, and record-keeping and assessment. It has a specific correlation including NNF matching charts for England and Wales.


Making up Numbers: A History of Invention in Mathematics

Making up Numbers: A History of Invention in Mathematics

Author: Ekkehard Kopp

Publisher: Open Book Publishers

Published: 2020-10-23

Total Pages: 280

ISBN-13: 1800640978

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Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.


National Curriculum Maths Practice Book for Year 5

National Curriculum Maths Practice Book for Year 5

Author: Scholastic

Publisher: 100 Practice Activities

Published: 2014-07-10

Total Pages: 128

ISBN-13: 9781407128924

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This book can help your child by providing a whole year of ready to go activities and support on key Mathematics topics which will be being taught in school from 2014. Did you know that children in Year 5 now need to; know and use prime numbers, prime factors and composite numbers; know all tables facts up to 12 x 12; understand and use equivalences between metric and imperial units such as inches, pounds and pints? * Workbooks for home learning * Linked directly to what your children will be learning in school * A linked website provides additional activities, answers and support for parents * Developed by teachers to ensure the best possible support for the new 2014 National Curriculum.


Mathematics Across Cultures

Mathematics Across Cultures

Author: Helaine Selin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 489

ISBN-13: 9401143013

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Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.


Astronomy and Calendars – The Other Chinese Mathematics

Astronomy and Calendars – The Other Chinese Mathematics

Author: Jean-Claude Martzloff

Publisher: Springer

Published: 2018-04-22

Total Pages: 0

ISBN-13: 9783662570302

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Presented from the viewpoint of the history of mathematics, this book explores both epistemological aspects of Chinese traditional mathematical astronomy and lunisolar calendrical calculations. The following issues are addressed: (1) connections with non-Chinese cultural areas; (2) the possibility or impossibility of using mathematics to predict astronomical phenomena, a question that was constantly raised by the Chinese from antiquity through medieval times; (3) the modes of representation of numbers, and in particular the zero, found in the context of Chinese calendrical calculations; and (4) a detailed analysis of lunisolar calendrical calculations. Fully worked-out examples and comparisons between the results of calculations and the content of Chinese historical calendars from various periods are provided. Traditional Chinese calendrical and mathematical astronomy consists of permanently reformed mathematical procedures designed to predict, but not explain, phenomena pertaining to astronomy and related areas. Yet, despite appearances, models of the mathematical techniques hidden behind this voluminous corpus reveal that they depend on a limited number of clear-cut mathematical structures. Although only a small fraction of these techniques have been fully studied, what is known surprisingly broadens our knowledge of the history of Chinese mathematics. Sinologists interested in the history of Chinese science, and anyone interested in the history of Chinese mathematics, the Chinese calendar, and the history of Chinese mathematical astronomy from its origin (104 BC) to its European reform (AD 1644) will find this book very useful. The present English language edition is a fully revised and updated version of the French original. Even though this is a research monograph in sinology, no particular sinological background is required, although a basic understanding of ‘concrete mathematics’ is needed. From the reviews of the French edition: This is a demanding, rigorous book to read ... worth the concentrated study it requires. The rewards are not only in the details but in the general overview that ...[it] provides. Joseph Dauben, EASTM, 2011 ...first Work in a Western language to turn to for anyone interested in the details of Chinese calendrical computations. Benno Van Dalen, ISIS, 2011 Martzloff’s careful scholarship and his overall look at the calendar beyond astronomical calculations, ..., make this book a most valuable contributions to a field of increasing interest. U. D’Ambrosio, Mathematical Reviews, 2013


Grade 4 Decimals and Fractions

Grade 4 Decimals and Fractions

Author: Kumon Publishing

Publisher: Kumon Math Workbooks

Published: 2008-07

Total Pages: 0

ISBN-13: 9781933241586

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Our Calculation Workbooks follow the Kumon Method, a proven learning system that helps children succeed and excel in math. Kumon Workbooks gradually introduce new topics in a logical progression and always include plenty of practice. As a result, children master one skill at a time and move forward without anxiety or frustration.