Mathematics Explained for Primary Teachers

Author: Derek Haylock,Ralph Manning

Publisher: SAGE

ISBN: 1526454483

Category: Education

Page: 504

View: 4942

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To help teachers confidently teach mathematics in primary school, this book develops their understanding of mathematical concepts and processes and how children learn them. This sixth edition of Derek Haylock's popular book has been updated to highlight mastery approaches to teaching mathematics and how to apply these in the classroom. Every chapter integrates children's learning, classroom practice, and teacher subject knowledge, making this the ultimate primary mathematics resource for teacher training and beyond. Online resources accompanying the book include: An interactive ebook, carefully integrating video, activities and questions with book chapters Expanded and enhanced downloadable lesson plans for use in the classroom Revised solution videos taking readers through key concepts step-by-step Revised and reworked professional development tasks to extend teachers further

Student Workbook for Mathematics Explained for Primary Teachers

Author: Derek Haylock,Ralph Manning

Publisher: SAGE

ISBN: 147390627X

Category: Education

Page: 168

View: 5241

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Do you understand the difference between a square and a rhombus well enough to explain it to a child? Could you weigh out 12 grams of sand if you were given weights of 3 grams, 7 grams and 16 grams? Can you spot common errors in subtraction calculations and identify the likely misconceptions behind them? This Student Workbook reinforces and applies concepts introduced in Derek Haylock’s Mathematics Explained for Primary Teachers. With over 700 tested questions endorsed by primary PGCE trainees, along with detailed solutions and explanatory notes, the Student Workbook helps you gain the confidence you need to understand, apply and teach the primary maths curriculum. Checking Understanding questions are designed to help you check your own knowledge of terminology, understanding of key concepts and principles, and your mastery of important skills. Reasoning and Problem-solving questions encourage you to use and apply mathematical concepts in solving mathematical puzzles or problems in real life situations. Learning and Teaching solutions include responses to children’s errors and misunderstandings, development of teaching ideas, evaluation of teaching approaches, and consideration of objectives to promote understanding. Visit the companion website for Mathematics Explained for Primary Teachers at study.sagepub.com/haylock5e to take advantage of even more learning resources, such as step-by-step solution videos, additional practice questions, activities to include in lesson plans and access to Derek Haylock’s blog. Derek Haylock is an education consultant and writer with a background in mathematics teaching, teacher education and classroom-based research in mathematics education.

Mathematics Explained for Primary Teachers - 4/Ed / Student Wkbk for Mathematics Explained for Primary Teachers

Author: Derek Haylock,Ralph Manning

Publisher: Sage Publications

ISBN: 9780857021120

Category: Education

Page: N.A

View: 9474

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This specially discounted book pack combines the new fourth edition of Derek Haylock's much loved textbook Mathematics Explained for Primary Teachers with the brand new accompanying Student Workbook. Mathematics Explained for Primary Teachers The new fourth edition of Mathematics Explained for Primary Teachers has been fully revised and restructured to match the current Attainment Targets for mathematics in England. Every chapter is written in a way that integrates children's learning, classroom practice and the teacher's own requirements for subject knowledge, making this the ideal text for primary PGCE courses. Some of the changes in the new edition include: -Two new chapters on mathematics in the primary curriculum and learning to learn mathematics -More prominence given to using and applying mathematics -Sections matching the attainment targets for mathematics -More learning and teaching points highlighted throughout the text -Further material on number, risk, use of ICT, graphs and data-handling. -A research focus in every chapter. The companion website www.sagepub.co.uk/haylock provides a glossary and additional material to enable primary trainees to prepare with confidence for the ITT Numeracy test, and provides details of how each chapter of the book is linked to the National Curriculum. This will be updated to reflect any updates to the National Curriculum as they are introduced. Extensively used on primary PGCE courses and undergraduate courses leading to QTS, this bestselling book is an essential resource for all trainee primary teachers. Student Workbook The new companion workbook to Mathematics Explained for Primary Teachers provides students with an attractive and engaging means of reviewing, reinforcing and applying the material of Mathematics Explained for Primary Teachers 4th Edition, chapter by chapter. The material in the workbook has been tested and endorsed by primary PGCE trainees. Detailed solutions and explanatory notes are provided at the end of the book for each task. The self-assessment tasks are of three kinds: A. Checking Understanding Tasks designed to help the reader to check their own understanding of key concepts and principles and their mastery of important skills in each chapter. B. Processes and Applications Tasks that provide opportunities to apply the mathematical content of each chapter in real-life situations, and in puzzles, problems, investigations and other mathematical challenges. C. Teaching and Learning Tasks that provide opportunities for the reader to consider their responses to children's errors and misunderstandings, and to consider the content of each chapter in terms of approaches to teaching and learning in a primary school context.

Understanding Mathematics for Young Children

A Guide for Foundation Stage and Lower Primary Teachers

Author: Derek Haylock,Anne D Cockburn

Publisher: SAGE

ISBN: 1446204979

Category: Education

Page: 272

View: 1063

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'This book is the ideal way to dispel some of the fears which surround the subject area of mathematics and should be an essential part of the professional development library of every early years setting provider for children aged three and over' - Early Years Update 'A book that is both readable and rigorous. [Its] guidance will help teachers to make mathematics meaningful to young children. Throughout the book connections are made which relate language, symbols, concrete materials and pictures to the key ideas that are central to effective learning for the 21st century. This book will help teachers gain a depth of understanding that will make them confident in engaging children with real mathematical thinking' - Dr J.E. Anghileri, Senior Lecturer in Mathematics and Mathematics Education, Faculty of Education, University of Cambridge 'This is an updated version of a classic text which has been a best -seller among teachers and student teachers for many years. Being always strongly grounded in the classroom, it develops in a non-intimidating way teachers' own understanding of the mathematics they are teaching. Many insightful examples of children's thinking and appropriate activities help to illustrate the points. This is an essential book for teachers of Early Years and Key Stage 1' - Margaret Brown, Professor of Mathematics Education, King's College London, UK This is a fully revised version of the authors' successful and much-used book, Understanding Mathematics in the Lower Primary Years, updated to include the current Foundation Stage Curriculum and the new Primary Framework in England. The authors empower the reader to have a clearer understanding of the mathematical ideas behind the material they use in the classroom. They also show how children can be helped to develop an understanding of mathematics for themselves, rather than just learning recipes and routines with little meaning. Major themes are: - Understanding through making connections - Equivalence and transformation - Using and applying mathematics It is written for teachers and teacher trainees engaged in teaching mathematics to children aged 3 to 8 years. It is an essential student text and professional reference work for all teachers of children aged 3 to 8 years. Dr Derek Haylock is an education consultant and author, working in the field of mathematics education. His book Mathematics Explained for Primary Teachers has been a leader in the field for many years, with a third edition published in 2006. Dr Anne Cockburn is a Reader in the School of Education and Lifelong Learning at the University of East Anglia, Norwich. Watch the authors talking about their book here: YouTube

Didaktische Kompetenz

Zugänge zu einer theoriegestützten bildungsorientierten Planung und Reflexion des Unterrichts

Author: Hans Berner

Publisher: N.A

ISBN: 9783258060330

Category: Teaching

Page: 293

View: 7477

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Teaching Mathematics to Low Attainers, 8-12

Author: Dr Derek Haylock

Publisher: SAGE

ISBN: 9781446237557

Category:

Page: 240

View: 7153

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This is a super, practical book on a neglected area of concern' - "Times Education Supplement " This book for student-teachers and teachers is concerned with the problems of teaching primary and middle school children whose attainment in mathematics compares unfavourably with that of their contemporaries. Drawing on his classroom-based research with low-attaining children in the age range of eight to 12 years years, the author discusses the factors associated with their low attainment and proposes a strategy for teaching them.

ITIL Foundation Handbook

[German Translation of ITIL Foundation Handbook - Pack Of 10]

Author: itSMF Foundation,Claire Agutter

Publisher: N.A

ISBN: 9780113314706

Category:

Page: 364

View: 7731

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Now updated in line with the 2011 syllabus, this quick-reference revision guide has been designed to help students prepare for their foundation exam. It is also a key reference aid for managers, practitioners, vendors and consultants in the workplace and while travelling. This handbook provides an introduction to the ITIL service lifecycle model and an overview of the ITIL qualification structure. It contains a chapter on each of the components of the lifecycle: service strategy, service design, service transition, service operation and continual service improvement.

Understanding Mathematics in the Lower Primary Years

Author: Derek Haylock,Anne D Cockburn

Publisher: Paul Chapman Educational Publishing

ISBN: N.A

Category: Education

Page: 208

View: 3490

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`There have been few mathematical texts which cause readers to smile, but one of the great strengths of this book is the consistent good humour. Hiding in the explanations of more abstract concepts are unexpected images, such as the "two thousand sets of zero elephants placed inside these brackets [ ]", which surprise and entertain, and so render difficult ideas memorable' - Mathematics Education Review This is a substantially revised and expanded edition of the authors’ earlier book, Understanding Early Years Mathematics. It is written for teachers and student-teachers working with children aged four to eight year olds. It provides them with a clearer understanding of the mathematical material they d

Wie kleine Kinder schlau werden

selbständiges Lernen im Alltag

Author: John Caldwell Holt

Publisher: Beltz

ISBN: 9783407228550

Category:

Page: 232

View: 5240

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Ausgehend von der Beobachtung des kindlichen Spielens erläutert der Autor, wie Kinder denken und lernen.

Der Zahlensinn oder Warum wir rechnen können

Author: Stanislas Dehaene

Publisher: Springer-Verlag

ISBN: 3034878257

Category: Science

Page: 311

View: 6218

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Wir sind umgeben von Zahlen. Ob auf Kreditkarten gestanzt oder auf Münzen geprägt, ob auf Schecks gedruckt oder in den Spalten computerisierter Tabellen aufgelistet, überall beherrschen Zahlen unser Leben. Sie sind auch der Kern unserer Technologie. Ohne Zahlen könnten wir weder Raketen starten, die das Sonnensystem erkunden, noch Brücken bauen, Güter austauschen oder Rech nungen bezahlen. In gewissem Sinn sind Zahlen also kulturelle Erfindungen, die sich ihrer Bedeutung nach nur mit der Landwirtschaft oder mit dem Rad vergleichen lassen. Aber sie könnten sogar noch tiefere Wurzeln haben. Tausende von Jahren vor Christus benutzten babylonische Wissenschaftler Zahlzeichen, um erstaun lich genaueastronomische Tabellen zu berechnen. Zehntausende von Jahren zuvor hatten Menschen der Steinzeit die ersten geschriebenen Zahlenreihen geschaffen, indem sie Knochen einkerbten oder Punkte auf Höhlenwände malten. Und, wie ich später überzeugend darzustellen hoffe, schon vor weiteren Millionen von Jahren, lange bevor es Menschen gab, nahmen Tiere aller Arten Zahlen zur Kenntnis und stellten mit ihnen einfache Kopfrechnungen an. Sind Zahlen also fast so alt wie das Leben selbst? Sind sie in der Struktur unseres Gehirns verankert? Besitzen wir einen Zahlensinn, eine spezielle Intuition, die uns hilft, Zahlen und Mathematik mit Sinn zu erfüllen? Ich wurde vor fünfzehn Jahren, während meiner Ausbildung zum Mathema tiker, fasziniert von den abstrakten Objekten, mit denen ich umzugehen lernte, vor allem von den einfachsten von ihnen- den Zahlen.

Das BilderBuch -

des nützlichen und unnützen Wissens

Author: David McCandless

Publisher: Albrecht Knaus Verlag

ISBN: 3641091993

Category: Political Science

Page: 256

View: 649

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Sehen und verstehen – was Sie in diesem Buch entdecken, wird Ihnen nicht mehr aus dem Kopf gehen. Noch nie war Wissen so schön anzusehen. Noch nie waren Zusammenhänge so leicht zu durchschauen. Das Visualisierungsgenie David McCand less erschafft aus Zahlen, Daten und Fakten einzigartige und unvergessliche Grafiken und Bilder, die unsere Synapsen zum Schwingen bringen. In welchem Land werden die meisten Bücher gelesen? Welcher Bart passt zu welchem Gesicht? Welche Musikstile beeinflussen sich wie? Welche Moralvorstellungen verbinden sich mit welcher Religion? Was verbraucht mehr Kalorien: Blümchensex oder Lesen? Welche alternativen Heilmethoden haben welche wissenschaftliche Evidenz? David McCandless ist einer der angesagtesten Informationsdesigner und gehört zu einer neuen Generation von Journalisten. Er setzt spannende Fakten ebenso überzeugend ins Bild wie komplizierte Zusammenhänge. Mithilfe von Farben und Formen macht er Wissen sichtbar. So entsteht aus über einhundert originellen Bildern ein Kaleidoskop aus nützlichem und unnützem Wissen, das einfach Spaß macht. Hoher Spaßfaktor! Ein »Lesegenuss« voller Anregungen und Überraschungen, bestens als Geschenk geeignet.

Entwurfsmuster

Elemente wiederverwendbarer objektorientierter Software

Author: Erich Gamma,Ralph Johnson,Richard Helm,John Vlissides

Publisher: Pearson Deutschland GmbH

ISBN: 9783827330437

Category: Agile software development

Page: 479

View: 9795

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Primary Mathematics: Teaching For Understanding

Teaching for Understanding

Author: Barmby, Patrick,Bilsborough, Lynn,Harries, Tony

Publisher: McGraw-Hill Education (UK)

ISBN: 0335229263

Category: Education

Page: 232

View: 6528

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This book addresses the particular areas of mathematics within the primary curriculum that teachers find difficult to teach and in which children struggle to achieve.. .It begins with introductory sections on how children learn mathematics and is then organised on a subject area basis, dealing with the teaching of particular maths topics. Key topics addressed include rounding and measuring, means and medians, fractions, negative numbers, commutative and associative laws in number operations, and shape and space. .Within each chapter, the authors examine the themes of representing, reasoning and communicating, drawing out both the subject knowledge and ways of teaching each topic. A reference section for studies drawn upon is provided at the end of each chapter.....

Was ist Mathematik?

Author: Richard Courant,Herbert Robbins

Publisher: Springer-Verlag

ISBN: 3662000539

Category: Mathematics

Page: N.A

View: 6689

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47 brauchen nur den Nenner n so groß zu wählen, daß das Intervall [0, IJn] kleiner wird als das fragliche Intervall [A, B], dann muß mindestens einer der Brüche m/n innerhalb des Intervalls liegen. Also kann es kein noch so kleines Intervall auf der Achse geben, das von rationalen Punkten frei wäre. Es folgt weiterhin, daß es in jedem Intervall unendlich viele rationale Punkte geben muß; denn wenn es nur eine endliche Anzahl gäbe, so könnte das Intervall zwischen zwei beliebigen benachbarten Punkten keine rationalen Punkte enthalten, was, wie wir eben sahen, unmöglich ist. § 2. Inkommensurable Strecken, irrationale Zahlen und der Grenzwertbegriff 1. Einleitung Vergleicht man zwei Strecken a und b hinsichtlich ihrer Größe, so kann es vor kommen, daß a in b genau r-mal enthalten ist, wobei r eine ganze Zahl darstellt. In diesem Fall können wir das Maß der Strecke b durch das von a ausdrücken, indem wir sagen, daß die Länge von b das r-fache der Länge von a ist.