*Research-based guidance for ages 9-19*

Author: Anne Watson,Keith Jones,Dave Pratt

Publisher: OUP Oxford

ISBN: 0191643424

Category: Mathematics

Page: 272

View: 3821

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Search Results for: key-ideas-in-teaching-mathematics

## Key Ideas in Teaching Mathematics

Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the strengths and pitfalls of various teaching approaches. Contemporary high-profile topics like modelling are included. The authors are experienced teachers, researchers and mathematics educators, and many teachers and researchers have been involved in the thinking behind this book, funded by the Nuffield Foundation. An associated website, hosted by the Nuffield Foundation, summarises the key messages in the book and connects them to examples of classroom tasks that address important learning issues about particular mathematical ideas.
## Teaching Mathematics in Secondary Schools

A companion to Aspects of Teaching Secondary Mathematics, this book introduces and explores the contemporary issues and key ideas entailed in the teaching and learning of this subject. This book is concerned with exploring the bigger picture of mathematics education, and is aimed particularly at those learning to teach mathematics; teachers in the classroom who want to continue thinking and developing as mathematics teachers; and those concerned with education who would like to be better informed about mathematics education. Divided into seven sections to help structure reading, this book offers a completely up-to-date, comprehensive overview, written by the most-known, well-respected experts in the field.
## Teaching Mathematics in Grades 6 - 12

Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a “researcher—constantly experimenting with methods for developing students’ mathematical thinking—and connecting this research to practices that enhance students’ understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students’ thinking may develop in response to different teaching strategies.
## Teaching Mathematics in the Primary School

Numerous examples from early years and primary classrooms are included as well as checklists and helpful advice. There are also suggestions for further reading to assist trainee and newly qualified teachers in meeting the Standards for Initial Teacher Training and Induction.
## Interactive Maths Teaching in the Primary School

'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.
## Key Concepts in Teaching Primary Mathematics

Covering the key principles and concepts in the teaching and learning of mathematics in primary schools, this text provides trainee and practising teachers with a quick and easy reference to what they need to know for their course, and in the classroom. The entries are arranged alphabetically, and each contains a brief definition, followed by an explanation and discussion, practical examples and annotated suggestions for further reading. Examples of the wide-ranging material include: Anxiety about mathematics; Assessment for Learning; Cognitive conflict; Concept learning; Creativity in mathematics; Differentiation; Equivalence; Explanation; Investigation; Low attainment; Making connections; Meaningful context; Mental calculation; Numeracy; Play as a context for learning mathematics; Problem-solving; Questioning; Talk.
## Teaching Mathematics in Primary Schools

'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.
## Teaching Mathematics in the Block

Provides detailed instructional strategies, sample lesson plans, and sample assessments so that mathematics teachers can make the best use of the additional time.
## Big Ideas in Primary Mathematics

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.
## Teaching Mathematics 3-5: Developing Learning In The Foundation Stage

The book places particular emphasis on adult-initiated, number-focused activities and playful, challenging and sensitive teaching strategies to engage younger children. The strategies are based on research and work with practitioners, and are illustrated by childrens own responses, such as making number jokes. It covers key areas of mathematics, including number, shape and space, measures and problem solving, with appropriate expectations and common difficulties as well as suggested activities.
## 101+ Great Ideas for Introducing Key Concepts in Mathematics

Invigorate instruction and engage students with this updated treasure trove of 114 ready-to-use techniques compiled by two of the greatest minds in mathematics.
## Knowing and Learning Mathematics for Teaching

There are many questions about the mathematical preparation teachers need. Recent recommendations from a variety of sources state that reforming teacher preparation in postsecondary institutions is central in providing quality mathematics education to all students. The Mathematics Teacher Preparation Content Workshop examined this problem by considering two central questions: What is the mathematical knowledge teachers need to know in order to teach well? How can teachers develop the mathematical knowledge they need to teach well? The Workshop activities focused on using actual acts of teaching such as examining student work, designing tasks, or posing questions, as a medium for teacher learning. The Workshop proceedings, Knowing and Learning Mathematics for Teaching, is a collection of the papers presented, the activities, and plenary sessions that took place.
## Teaching Mathematics Creatively

Are you looking for new ideas to capture the reluctant maths pupils in your class? How can story, drama and GIANTS help you teach maths? Teaching Mathematics Creatively is crammed full of practical approaches for bringing the teaching of mathematics to life. From an examination of where maths is failing to engage pupils in the 21st century, to a wide range of exciting approaches and ideas for ensuring it is possible to teach in a creative way, this is a stimulating and enjoyable source of inspiration for busy teachers. It promotes creativity as a key element to develop young children’s knowledge, understanding and enjoyment of mathematics and offers a range of strategies to enable teachers to take a playful approach to mathematics teaching. Imaginative ideas include: The power of story-telling and play to bring the subject alive for children and teachers alike. Learning maths outdoors - work on a larger scale, make more noise, make more mess! Making sense of the numbers, patterns, shapes and measures children see around them every day. Motivating children through problem-finding and problem-solving. Using music, rhythm and pattern to teach maths creatively. Giant maths - how much food does a giant need in a week? Underpinned by the latest research and theory and with contemporary and cutting-edge practice at the forefront, Teaching Mathematics Creatively includes a wealth of innovative ideas to enthuse teachers and enrich maths teaching. It is an essential purchase for every teacher who wishes to employ creative approaches to teaching in their classroom.
## Forging Connections in Early Mathematics Teaching and Learning

This edited book promotes thinking, dialogue, research and theorisation on multiple ways of making connections in mathematics teaching and learning in early childhood education. The book addresses some key challenges in research, policy and practice in early childhood mathematics education. It examines diverse ways for learning experiences to connect young children to mathematics, and the importance of forging connections between mathematics and young children’s lives as key elements in their engagement with mathematics. Each chapter provides research or theoretical provocations and pedagogical implications for connecting children’s lived experiences and ways of learning in mathematics teaching. The chapters are drawn from a range of international authors who raise important ideas within the overall context of current research and consider the theoretical and practical implications of their research. As such, the book advances current thinking on mathematics teaching and learning for children in the early years from birth to eight years with an emphasis on children aged birth to 5 years. It considers the purpose and value in connecting mathematics teaching and learning to children’s lives, and provides provocations for both educators and researchers on the many under-researched and under-represented aspects of early years mathematics teaching and learning.
## Teaching Mathematics

In this reader, maths teachers in the early years of their careers will find a concise yet comprehensive guide to developments in mathematics teaching in secondary schools and the controversies which currently surround it. After a brief summary of the historical context, a series of short articles provides a range of perspectives on various issues of current debate which will help new teachers in the development of their own teaching styles. These include the impact of computers and calculators in maths teaching, the various arguments about the use of published schemes and for more investigational approaches to the curriculum, and the way in which social and cultural factors can be approached through the teaching of various topics in mathematics. The final section looks at how teachers might continue their professional development through action research in their own classrooms.
## Mit Werkzeugen Mathematik und Stochastik lernen – Using Tools for Learning Mathematics and Statistics

Dieser Band mit Beiträgen aus der nationalen und internationalen Forschung zum 60. Geburtstag von Prof. Dr. Rolf Biehler (Universität Paderborn) präsentiert wissenschaftliche Arbeiten zum Werkzeugeinsatz beim Lehren und Lernen von Mathematik im Allgemeinen sowie von Statistik und Stochastik im Besonderen. Wie ein roter Faden durchzieht den Festband, wie auch schon das wissenschaftliche Oeuvre von Rolf Biehler, ein breites Verständnis des Begriffs „Werkzeug“ (engl. „tools“). Die Themen decken das komplette Spektrum der Mathematikdidaktik auf allen Schulstufen sowie auf dem tertiären Sektor ab. Es gibt Beiträge zum Einsatz von Tools in der Grundschule, ebenso wie aus den Sekundarstufen, der Hochschule und der Lehreraus- und -weiterbildung. Im Band werden sowohl Beispiele zum konkreten Einsatz von Werkzeugen im Unterricht aufgezeigt, als auch Studien zur Wirksamkeit von Werkzeugen im Kontext von Mathematiklernen, theoretische Artikel zum Einsatz von Werkzeugen und Neuentwicklungen von Werkzeug-Software vorgelegt.
## Concept Mapping in Mathematics

Concept Mapping in Mathematics: Research into Practice is the first comprehensive book on concept mapping in mathematics. It provides the reader with an understanding of how the meta-cognitive tool, namely, hierarchical concept maps, and the process of concept mapping can be used innovatively and strategically to improve planning, teaching, learning, and assessment at different educational levels. This collection of research articles examines the usefulness of concept maps in the educational setting, with applications and examples ranging from primary grade classrooms through secondary mathematics to pre-service teacher education, undergraduate mathematics and post-graduate mathematics education. A second meta-cognitive tool, called vee diagrams, is also critically examined by two authors, particularly its value in improving mathematical problem solving. Thematically, the book flows from a historical development overview of concept mapping in the sciences to applications of concept mapping in mathematics by teachers and pre-service teachers as a means of analyzing mathematics topics, planning for instruction and designing assessment tasks including applications by school and university students as learning and review tools. This book provides case studies and resources that have been field tested with school and university students alike. The findings presented have implications for enriching mathematics learning and making problem solving more accessible and meaningful for students. The theoretical underpinnings of concept mapping and of the studies in the book include Ausubel’s cognitive theory of meaningful learning, constructivist and Vygotskian psychology to name a few. There is evidence particularly from international studies such as PISA and TIMSS and mathematics education research, which suggest that students’ mathematical literacy and problem solving skills can be enhanced through students collaborating and interacting as they work, discuss and communicate mathematically. This book proposes the meta-cognitive strategy of concept mapping as one viable means of promoting, communicating and explicating students’ mathematical thinking and reasoning publicly in a social setting (e.g., mathematics classrooms) as they engage in mathematical dialogues and discussions. Concept Mapping in Mathematics: Research into Practice is of interest to researchers, graduate students, teacher educators and professionals in mathematics education.
## Mathematics For Primary Teachers

This book combines accessible explanations of mathematical concepts with practical advice on effective ways of teaching the subject. Section A provides a framework of good practice. Section B aims to support and enhance teachers subject knowledge in mathematical topics beyond what is taught to primary children. Each chapter also highlights teaching issues and gives examples of tasks relevant to the classroom. Section C is a collection of papers from tutors from four universities centred around the theme of effective teaching and quality of learning during this crucial time for mathematics educ.
## A Practical Guide to Teaching Mathematics in the Secondary School

A Practical Guide to Teaching Mathematics in the Secondary School offers straightforward advice, inspiration and support for mathematics teachers whether in training or newly qualified. Based on the best research and practice available, it offers a wide range of tried and tested approaches that succeed in secondary classrooms. Each chapter contains a wealth of tasks and ideas that allow teachers to reflect on the approaches and make plans for using them in their own classrooms, and offers ideas for lesson plans, learning activities and suggested further reading and development. Illustrated throughout with case studies and practical insights from classroom observations and experience, this book covers key aspects of mathematics teaching, including: managing the class and learning environment; teaching the topics of mathematics; encouraging mathematical thinking; choosing and using resources; using multi-media technology; assessing work in mathematics. A Practical Guide to Teaching Mathematics in the Secondary School is an essential companion to the core textbook Learning to Teach Mathematics in the Secondary School. Written by expert professionals, it supports you in your development of imaginative and effective lessons on a variety of curriculum topics in different teaching situations.
## Teaching Mathematics in the Secondary School

'Chambers and Timlin write with clarity and purpose. The authors link the theory of teaching mathematics with simple reflective questions and interesting maths tasks. There is practical advice on planning, assessment and differentiations, amongst other pertinent themes' -Jacqueline Oldham, PGCE Secondary Mathematics Course Tutor, St Mary's University College 'This is a very practical guide for learning to teach mathematics for student teachers on all training routes. Chapters are focused and readable but succeed in tackling issues in depth giving the reader strong academic support' -Anne Haworth, PGCE Secondary Mathematics Course Tutor, University of Manchester This book is an essential companion for anyone training to teach mathematics in secondary education. It offers clear and engaging coverage of all major aspects of mathematics teaching that you will need to engage with in order to successfully train for the classroom. This Second Edition includes: a new chapter exploring different teaching approaches including active learning, effective group work and creative mathematics teaching expanded coverage of assessment, using resources in the classroom and metacognition and learning updated coverage of recent developments in education policy and the 2012 Teachers' Standards This is essential reading for anyone training to teach secondary mathematics including postgraduate (PGCE, SCITT) and school-based routes into teaching. Free digital resources for extra support is available in the book's companion website. It includes: Web links and further reading for each chapter A video series of a sample classroom lesson filmed in a real-life setting Visit www.sagepub.co.uk/chamberstimlin

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