Big Ideas in Primary Mathematics

Author: Robert Newell

Publisher: SAGE

ISBN: 147398789X

Category: Education

Page: 320

View: 5401

Lightbulb moments for you and your pupils This book explores the ‘big ideas’ in maths to help trainee teachers confidently teach the curriculum in a way that engages children and focuses on understanding, rather than memory, for those lightbulb moments. Covering the major concepts in simple terms, whilst carefully linking to the National Curriculum, it shows how they can be used to enable learning and support mathematical mastery. A focus on explaining misconceptions and errors will strengthen trainees and teachers own mathematical subject knowledge, while also giving them the confidence to deepen their understanding of the children they teach. Key topics include: Problem-solving, reasoning and developing fluency in maths Place value and counting systems Measuring money, time and weight Geometry, and understanding space and shape Fractions and statistics for the primary classroom This is essential reading for anyone studying primary mathematics on initial teacher education courses, including undergraduate (BEd, BA with QTS) and postgraduate (PGCE, PGDE, School Direct, SCITT) routes, and also NQTs. Robert Newell is a tutor in primary education at the UCL Institute of Education, London.
Posted in Education

Lernen sichtbar machen

Überarbeitete deutschsprachige Ausgabe von "Visible Learning"

Author: John Hattie

Publisher: N.A

ISBN: 9783834014504

Category:

Page: 472

View: 8009

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Mentoring Mathematics Teachers

Supporting and inspiring pre-service and newly qualified teachers

Author: Rosalyn Hyde,Julie-Ann Edwards

Publisher: Routledge

ISBN: 1134609930

Category: Education

Page: 224

View: 2427

Designed to support both teachers and university-based tutors in mentoring pre-service and newly qualified mathematics teachers at both primary and secondary levels, Mentoring Mathematics Teachers offers straightforward practical advice that is based on practice, underpinned by research, and geared specifically towards this challenging subject area. Developed by members of The Association of Mathematics Education Teachers, the authors draw upon the most up-to-date research and theory to provide evidence-based practical guidance. Themes covered include: the recognition of the importance of pedagogical content knowledge building upon subject knowledge developing skills of self-evaluation in order to reflect and develop your own practice the on-going need to address issues of equity and diversity within the profession the need for pre-service teachers and their mentors to work together effectively as a partnership the importance of collaboration, shared goals, mutual benefit and growth. Addressing issues of mentoring for all trainee and practising mathematics teachers, Mentoring Mathematics Teachers demonstrates both the importance of mentoring in the development of new teachers of mathematics, but also the benefits to all those who involve themselves in this challenging and rewarding task.
Posted in Education

Understanding and Teaching Primary Mathematics

Author: Tony Cotton

Publisher: Routledge

ISBN: 1317443217

Category: Education

Page: 290

View: 7941

Written by an education consultant with widespread experience of teaching mathematics in the UK and internationally, Understanding and Teaching Primary Mathematics seamlessly combines pedagogy and subject knowledge to build confidence and equip you with all the skills and know-how you need to successfully teach mathematics to children of any age. This 3rd edition has been fully updated to reflect the latest research developments and initiatives in the field, as well as key changes to both the UK National Curriculum and International Baccalaureate, including a brand new chapter on ‘Algebra’ and a reworked focus on the early years. Extra features also include helpful call-outs to the book’s revised and updated companion website, which offers a shared site with a range of resources relevant to both this book and its new companion volume, Teaching for Mathematical Understanding. Stimulating, accessible and well-illustrated, with comprehensive coverage of subject knowledge and pedagogy, Understanding and Teaching Primary Mathematics is an essential purchase for trainee and practising teachers alike. Companion website features new to this edition include: video clips in which the author demonstrates the concepts covered in the book through teaching to a real class PowerPoint presentations which provide support for those using the book as a part of a teacher training course updated weblinks to external sites with useful teaching information and resources
Posted in Education

Interactive Maths Teaching in the Primary School

Author: Nick Pratt

Publisher: SAGE

ISBN: 1847878423

Category: Education

Page: 152

View: 4017

'Nick Pratt's book looks in detail at the real meaning of teaching mathematics interactively in primary schools. Each section is set clearly within a context, is linked by 'key ideas' – the important bits to think about – and is summarised to give a succinct close to the chapter's content and thinking. It is a book that the reader will definitely find useful and thought provoking. It certainly made me consider how small changes and a wider variety of approaches in the classroom can make big changes in children's learning and understanding of mathematical concepts' - Mike Eatwell, Primary Maths Advisor, Bristol LEA Using a whole-class, interactive approach to teaching mathematics is a key feature of the National Numeracy Strategy (NNS), and this book looks at not only what works but also why things work. Teachers will be able to understand why and how the various teaching strategies they are using in their classrooms have a positive effect on children's learning. The book covers: " how to engage in meaningful reflective practice that will improve your lessons " how to use whiteboards " making mathematical meaning through talk " getting the whole class interacting " thinking, talking and acting mathematically " teaching number - starting points " teaching shape and space - starting points " developing your interactive teaching " a glossary of terms It is aimed at both practising and trainee teachers, and offers clear subject guidance as well as an explanation of a key part of the NNS. It supports both individuals and mathematics subject leaders delivering INSET to their colleagues.
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Beweise und Widerlegungen

Die Logik mathematischer Entdeckungen

Author: Imre Lakatos

Publisher: Springer-Verlag

ISBN: 3663001962

Category: Mathematics

Page: 163

View: 7263

Posted in Mathematics

Mathe-Magie

Verblüffende Tricks für blitzschnelles Kopfrechnen und ein phänomenales Zahlengedächtnis

Author: Arthur Benjamin,Michael Shermer

Publisher: Heyne Verlag

ISBN: 3641148472

Category: Self-Help

Page: 304

View: 1158

Zaubern mit Zahlen – wer dieses Buch gelesen hat, muss PISA nicht mehr fürchten Wer glaubt, Mathematik sei eine trockene Angelegenheit und Kopfrechnen eine unnötige Quälerei, der irrt sich gewaltig. Denn nach der Lektüre dieses Buches ist es für jeden ein Leichtes, Rechenoperationen mit vier- und fünfstelligen Zahlen in Sekundenschnelle im Kopf auszuführen. Und was wie Zauberei wirkt, ist letztendlich nichts anderes als mathematische Logik, die jedermann beherrschen kann und die dazu noch richtig Spaß macht. • So wird Kopfrechnen kinderleicht! • Mit zahlreichen Übungen und Lösungen
Posted in Self-Help

LION

Der lange Weg nach Hause

Author: Saroo Brierley

Publisher: Ullstein eBooks

ISBN: 384370970X

Category: Biography & Autobiography

Page: 304

View: 1180

Es ist ein Tag wie jeder andere im Leben des fünfjährigen Saroo: Auf dem Bahnhof einer indischen Kleinstadt sucht er nach Münzen und Essensresten. Schließlich schläft er vor Erschöpfung in einem wartenden Zug ein. Der fährt den kleinen Jungen ans andere Ende von Indien, nach Kalkutta. Völlig alleine an einem der gefährlichsten Orte der Welt schlägt er sich wochenlang auf der Straße durch, landet im Waisenhaus und gelangt so zu den Brierleys, die Saroo ein neues Zuhause in Australien schenken. Fünfundzwanzig Jahre später macht sich Saroo mit Hilfe von Google Earth auf die Suche nach seiner leiblichen Familie. Am Bildschirm fährt er Nacht für Nacht das Zugnetz von Indien ab. Das Unglaubliche passiert: Er findet ein Dorf, das dem Bild in seiner Erinnerung entspricht – und macht sich auf den Weg ...
Posted in Biography & Autobiography

Teaching Mathematics in Primary Schools

Author: Robyn Jorgensen,Shelley Dole

Publisher: Allen & Unwin

ISBN: 9781742694160

Category: Education

Page: 400

View: 9266

'Every chapter reeks of intellectual integrity, a strong knowledge of pertinent research literatures, and the wisdom of practice.' - Professor Ken Clements, co-founder of the Mathematics Education Research Group of Australasia 'This is an outstanding book: it should be high on the list of any primary school teacher's set of references and a required text for pre-service teachers.' - Kath Truran in Australian Primary Mathematics Classroom Teaching Mathematics in Primary Schools moves beyond traditional lock-step approaches to teaching mathematics to emphasise how students can learn to think mathematically in the new times of globalisation and a technology-rich society. Based on current international research, the book focuses on learning outcomes and the general principles that underlie educational practices rather than any specific curriculum. Current approaches to mathematics education are explained and critiqued, and insights into why some students have difficulties with mathematics are provided. Teachers are shown how to encourage their students to develop deep learning in mathematics, and to relate mathematics to the rest of the curriculum. The authors firstly examine the philosophy behind mathematics and its impact on curriculum design, the history of learning outcomes, and theories on how students learn mathematics. They then present the key areas of mathematics teaching in detail: number, chance and data, measurement, space, and algebra. In each area, the emphasis is on problem-solving. Finally, they discuss practical classroom issues such as the trend towards developing students' capacity to think mathematically, broad approaches to teaching mathematics, planning for a whole school approach to mathematics, diversity and access, and assessment, reporting and evaluation. New material on numeracy, early numbers and fractions has been added to this second edition. It also includes new material on teaching mathematics in the middle years of schooling. With practical activities that can be implemented in the classroom, this book is an invaluable resource for students and teachers.
Posted in Education

The Little Book of Maths Outdoors

Little Books with Big Ideas (75)

Author: Terry Gould

Publisher: Bloomsbury Publishing

ISBN: 1472923375

Category: Education

Page: 64

View: 8774

This is a unique book that supports the current thinking behind outdoor learning. It features over 40 ideas for outdoor activities that support mathematics in the early years and the specific areas of learning in the revised EYFS. All the ideas are tried and tested by Terry and this book will prove to be popular in the early years and well into Key stage 1.
Posted in Education

Der Zahlensinn oder Warum wir rechnen können

Author: Stanislas Dehaene

Publisher: Springer-Verlag

ISBN: 3034878257

Category: Science

Page: 311

View: 8644

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.
Posted in Science

Understanding Mathematics for Young Children

A Guide for Teachers of Children 3-8

Author: Derek Haylock,Anne D Cockburn

Publisher: SAGE

ISBN: 1446248666

Category: Education

Page: 344

View: 5066

A new edition of this bestselling book, which helps trainee and practising teachers understand mathematical concepts and how children learn them, as well as ably teach young children maths.
Posted in Education

Gute Reise, bunter Hahn!

Author: Eric Carle

Publisher: N.A

ISBN: 9783836949415

Category:

Page: 26

View: 9923

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Primary Mathematics

Capitalising on ICT for Today and Tomorrow

Author: Penelope Serow,Rosemary Callingham,Tracey Muir

Publisher: Cambridge University Press

ISBN: 1107729947

Category: Education

Page: 452

View: 4440

Primary Mathematics provides a comprehensive introduction to teaching and learning mathematics in today's classrooms. Drawing links to the Australian Curriculum, this book covers the core learning areas of measurement, space and geometry, early number concepts, data and statistics, chance and probability, and patterns and algebra. At the centre of this book is the belief that ICT can be a powerful tool for enhancing student learning. Although many classrooms have been resourced with computers, interactive whiteboards and mobile technology, teachers need to be able to transform these technological tools into meaningful teaching and learning experiences. This book explores the ways in which technology can be integrated into the mathematics classroom. The book also explores issues around student diversity, assessment 'for', 'of' and 'as' learning, and teaching in rural and remote areas. Primary Mathematics is an indispensable resource for pre- and in-service teachers alike.
Posted in Education

Becoming a Primary Mathematics Specialist Teacher

Author: Gina Donaldson,Jenny Field,Dave Harries,Clare Tope,Helen Taylor

Publisher: Routledge

ISBN: 0415604346

Category: EDUCATION

Page: 145

View: 8257

"Becoming a Primary Mathematics Specialist Teacher challenges teachers to think about the role and impact of the Mathematics Specialist in changing staff, parents and children's attitudes to the subject in the primary school. It explores what we really mean by deep mathematical subject knowledge, explains key pedagogical approaches to teaching mathematics, and demonstrates how you can effectively mentor less experienced or confident colleagues to improve teaching and learning. Illustrated throughout with classroom-based examples, research findings and theoretical ideas, this book considers a wide range of issues including the use and application of mathematics, the utilisation of practical resources, and the principles of progression. It also considers some common misconceptions in mathematics, and offers scenarios and reflection activities at the end of each chapter. This supportive text is centred around three key themes of deep subject knowledge, pedagogical knowledge and the skills required for mentoring, coaching and supporting colleagues - features which the authors explore first from a theoretical perspective, and secondly through the context of specific mathematical topics taken from the primary curriculum. Becoming a Primary Mathematics Specialist Teacher supports primary mathematics teachers in their development as reflective practitioners, who can confidently challenge practice in their own classroom and move the whole school forward through collaborative professional development"--
Posted in EDUCATION

Lessons in Teaching Number and Place Value in Primary Schools

Author: Kathleen Morgan,Stephanie Suter

Publisher: Learning Matters

ISBN: 1473908612

Category: Education

Page: 152

View: 3056

Lesson planning in line with the new Primary National Curriculum! Structured around the number and place value sections of the programmes of study within the National Curriculum (DfE, 2013), this book provides practical examples and lesson ideas on how number and place value can be taught within the primary classroom. Children need an in-depth understanding of our number system in order to access effectively other elements of the number curriculum; this is an area of maths that is a high focus throughout the primary curriculum. The accompanying commentary before and after each lesson plan, informs some of the decisions that you will make as part of the planning process. Potential challenges associated with the lesson, including common errors and misconceptions children encounter are also discussed. The authors recognise that each class is unique and so you will find suggestions after each lesson on how it can be adapted and developed to suit your teaching needs. Did you know that this book is part of the Lessons in Teaching series? Table of Contents Teaching the national curriculum for mathematics / Teaching number and place value / Planning: telling the ‘story’ of the lesson / Year 1: One more than, one less than / year 2: Place value / Year 2: Using and = signs / Year 3: Patterns when counting in multiples / Year 4: Negative numbers / Year 4: Roman Numerals / Year 5: Big numbers / Year 6: Understanding decimals / Year 6: Reading scales / Moving on / Glossary of terms / Models, images and practical resources WHAT IS THE LESSONS IN TEACHING SERIES? Suitable for any teacher at any stage of their career, the books in this series are packed with great ideas for teaching engaging, outstanding lessons in your primary classroom. The Companion Website accompanying the series includes extra resources including tips, lesson starters, videos and Pinterest boards. Visit ww.sagepub.co.uk/lessonsinteaching Books in this series: Lessons in Teaching Grammar in Primary Schools, Lessons in Teaching Computing in Primary Schools, Lessons in Teaching Number and Place Value in Primary Schools, Lessons in Teaching Reading Comprehension in Primary Schools, Lesson in Teaching Phonics in Primary Schools
Posted in Education

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: 792

`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
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Games, Ideas and Activities for Early Years Mathematics

Author: Alice Hansen

Publisher: Pearson UK

ISBN: 1408284863

Category: Education

Page: 328

View: 5920

Designed with busy teachers in mind, the Classroom Gems series draws together an extensive selection of practical, tried-and-tested, off-the-shelf ideas, games and activities, guaranteed to transform any lesson or classroom in an instant. Easily navigable, allowing you to choose the right activity quickly and easily, these invaluable resources are guaranteed to save you time and are a must-have tool to plan, prepare and deliver first-rate lessons. Games, Ideas and Activities for Early Years Maths provides a wealth of activities to supplement and support the teaching of maths in a fun and appealing way. Designed to enable practitioners to effectively support children’s mathematical development across the EYFS, this is the resource that will bring maths to life in any early years setting. Alice Hansen provides easy-to-access and implement mathematical ideas that practitioners and teachers can use straight away, through topics that are commonly used in early years settings and classrooms. 150 unique ideas designed to enhance the teaching and learning of maths in the early years Activities that enable practitioners to integrate mathematical thinking into everyday activities ‘How is this maths?’ feature to support practitioners in identifying opportunities for emergent maths Step-by-step instructions for each activity Minimal preparation or resources required – easy to fit into a busy timetable
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Exploring Mathematics Through Play in the Early Childhood Classroom

Author: Amy Noelle Parks

Publisher: Teachers College Press

ISBN: 0807755893

Category: Education

Page: 148

View: 7255

This practical book provides pre- and inservice teachers with an understanding of how math can be learned through play. The author helps teachers to recognize the mathematical learning that occurs during play, to develop strategies for mathematizing that play, and to design formal lessons that make connections between mathematics and play. Common Core State Standards are addressed thorughout the text to demonstrate the ways in which play is critical to standards-based mathematics teaching, and to help teachers become more familiar with these standards. Classroom examples illustrate that, unlike most formal tasks, play offers children opportunities to solve nonroutine problems and to demonstrate a variety of mathematical ways of thinking, such as perseverence and attention to precision. This book will help put play back into the early childhood classrooms where it belongs. This book: makes explicit connections to play and the Common Core State Standards in Mathematics; offers many examples of free play activities in which mathematics can be highlighted, as well as formal lessons that are inspired by play; and provides strategies for making assessments more playful, helping teachers meet increasing demands for assessment data while also reducing child stress.
Posted in Education