Primary Mathematics and the Developing Professional

Primary Mathematics and the Developing Professional

Author: Alison Millett

Publisher: Springer

Published: 2007-07-11

Total Pages: 310

ISBN-13: 1402019157

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Abstract. This introduction sets the scene for the remainder of the book by considering first the international context of widespread concern about the improvement of numeracy skills. This is related to reform movements in the United Kingdom, the United States and other countries aimed at modernising primary (elementary) school mathematics curricula. A detailed account is given of the National Numeracy Strategy in England, a systemic government-imposed response to concern about standards implemented in 1999/2000. This includes a discussion of the alternative meanings of numeracy. An earlier initiative sponsored by a United Kingdom charitable trust reacting to concern about primary numeracy was the Leverhulme Numeracy Research Programme. This large-scale longitudinal study and linked set of case-study projects, focusing on reasons for low attainment, took place during 1997-2002. This book, and each other in the same series, is based on results of that research. The timescale fortuitously enabled the research team to also report on some effects of the systemic reform in the National Numeracy Strategy. 1. THE INTERNATIONAL CONTEXT In many countries, there are recurring periods of national concern about the low standards of calculation skills shown by children in primary (elementary) schools. Recently, these concerns have become more urgent and more political with the publication of international comparisons of mathematical achievement, first at secondary and more recently at primary level (e. g. Lapointe, Mead, & Askew 1992; Mullis et al. , 1997).


Mathematics Professional Development

Mathematics Professional Development

Author: Hilda Borko

Publisher: Teachers College Press

Published: 2015-04-15

Total Pages: 161

ISBN-13: 0807756555

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This resource will help school leaders and other professional development providers conduct ongoing, structured learning opportunities for mathematics teachers (K-12). The authors present models for professional development and the preparation of PD leaders designed and field-tested as part of two research projects supported by the National Science Foundation. The Problem-Solving Cycle model and the Mathematics Leadership Preparation model focus on topics of primary interest to mathematics teachers - mathematics content, classroom instruction, and student learning. They are intentionally designed so that they can be tailored to meet the needs and interests of participating teachers and schools. Through engaging vignettes, the authors describe the models, summarize key research findings, and share lessons learned. The book also includes detailed examples of workshop activities for both teachers and PD leaders.


Tasks in Primary Mathematics Teacher Education

Tasks in Primary Mathematics Teacher Education

Author: Barbara Clarke

Publisher: Springer Science & Business Media

Published: 2008-10-25

Total Pages: 311

ISBN-13: 0387096698

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Tasks in Primary Mathematics Teacher Education is intended to advance relevant research and innovative international practices in the preparation and professional development of mathematics teachers. Emerging from discussion at the ICMI study on teacher professional development, this volume, focused on primary and elementary teachers, culls a richness that can only be found by gathering wisdom from varied experiences around the world. The choice of tasks, and the associated pedagogies, is a key aspect of teaching and learning mathematics. Arguing that what students learn is largely defined by the tasks they are given, several major themes are presented. One such major strand, the form, function and focus of tasks, is discussed throughout several chapters, offering analysis, discussion of implementation, and exemplars of a broader category of illustrative techniques for developing critical understanding.


Understanding and Teaching Primary Mathematics

Understanding and Teaching Primary Mathematics

Author: Tony Cotton

Publisher: Routledge

Published: 2014-04-29

Total Pages: 261

ISBN-13: 1317614399

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How would you teach the concept of odd and even numbers to a child? What is the probability of throwing a three on a six-sided die? How could you help a child who is confusing ratio and proportion? By seamlessly combining subject knowledge and pedagogy, the second edition of Understanding and Teaching Primary Mathematics will not only build your own confidence in mathematics, but also equip you with the curriculum understanding and pedagogical know-how to excel at teaching maths to children of any age. Written in a clear and accessible way, the book guides you through the fundamental ideas which are at the heart of teaching and learning maths, with special focus on observation and assessment of primary and early years children. Hallmark features Links to the classroom and research are provided throughout to help you relate educational theory to your own teaching practice. Portfolio and audit tasks allow you to assess your own subject knowledge and build up a portfolio of evidence to gain Qualified Teacher Status. The accompanying extra resources offers topic-specific self-audits for you to monitor your progress, exemplar lesson plans, a range of Portfolio Tasks mapped directly to current teacher standards and web-links to up-to-date online resources. New to this edition Resource Inspiration boxes give inviting examples of different activities to do with your class to provide inspiration for your own teaching. High quality videos with corresponding discussion, have been expertly selected from Teachers TV help to widen your skills and develop your practice, offering tips, lesson ideas and classroom resources.


Mastery in Primary Mathematics

Mastery in Primary Mathematics

Author: Tom Garry

Publisher: Bloomsbury Publishing

Published: 2020-02-06

Total Pages: 161

ISBN-13: 1472969758

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Mastery in Primary Mathematics contains clear, practical guidance for both teachers and leaders on how to implement a mastery approach in the classroom that transcends any particular context, school type or scheme currently being used. Filled with research-based evidence, case studies and concrete examples of teaching for mastery used successfully, this is the ideal toolkit to implementing a mastery approach across a school, regardless of expertise. Moulding pupils into confident and successful mathematicians is one of the most important jobs of a primary school. It can also be one of the most difficult. Teaching for mastery gives pupils the best possible understanding of mathematics and implementing it involves a two-pronged approach: mastery must be embedded in the classroom, but will only work with the full support of the school's leadership team. Based on educational research and school case studies, Mastery in Primary Mathematics gives practical advice on introducing and sustaining teaching for mastery, with sections for both class teachers and school leaders. In this must-have guide, Tom Garry, NCETM Maths Mastery Specialist Teacher, covers the areas of variation theory, mathematical reasoning and the use of correct mathematical language, and equips leaders with the necessary tools to make the mastery approach work across a school. With a view to planning at three levels – curricular, unit and lesson – in order to fully arm educators with the means to plan effectively, Tom draws on cognitive science as current developments in this field are crucial to understanding how children learn.


Designing Professional Development for Teachers of Science and Mathematics

Designing Professional Development for Teachers of Science and Mathematics

Author: Susan Loucks-Horsley

Publisher: Corwin Press

Published: 2010

Total Pages: 425

ISBN-13: 1412974143

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The revised classic for designing mathematics and science professional development presents an updated planning framework and many professional development strategies and emphasizes continuous program monitoring and building professional cultures.


Developing Primary Mathematics Teaching

Developing Primary Mathematics Teaching

Author: Tim Rowland

Publisher: SAGE

Published: 2009-03-09

Total Pages: 257

ISBN-13: 1446207315

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How can KS1/2 teachers improve their mathematics teaching? This book helps readers to become better, more confident teachers of mathematics by enabling them to focus critically on what they know and what they do in the classroom. Building on their close observation of primary mathematics classrooms, the authors provide those starting out in the teaching profession with a four-stage framework which acts as a tool of support for developing their teaching: - making sense of foundation knowledge - focusing on what teachers know about mathematics - transforming knowledge - representing mathematics to learners through examples, analogies, illustrations and demonstrations - connection - helping learners to make sense of mathematics through understanding how ideas and concepts are linked to each other - contingency - what to do when the unexpected happens Each chapter includes practical activities, lesson descriptions and extracts of classroom transcripts to help teachers reflect on effective practice.


Building the Foundation: Whole Numbers in the Primary Grades

Building the Foundation: Whole Numbers in the Primary Grades

Author: Maria G. Bartolini Bussi

Publisher: Springer

Published: 2018-03-29

Total Pages: 548

ISBN-13: 3319635557

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This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions. The broad area of Whole Number Arithmetic (WNA), including operations and relations and arithmetic word problems, forms the core content of all primary mathematics curricula. The study of this core content area is often regarded as foundational for later mathematics learning. However, the principles and main goals of instruction on the foundational concepts and skills in WNA are far from universally agreed upon, and practice varies substantially from country to country. As such, this study presents a meta-level analysis and synthesis of what is currently known about WNA, providing a useful base from which to gauge gaps and shortcomings, as well as an opportunity to learn from the practices of different countries and contexts.


Becoming a Primary Mathematics Specialist Teacher

Becoming a Primary Mathematics Specialist Teacher

Author: Gina Donaldson

Publisher: Routledge

Published: 2013-08-15

Total Pages: 153

ISBN-13: 1136322167

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What is the role of the mathematics specialist? What is deep subject knowledge in mathematics? What sort of pedagogical knowledge does a mathematics specialist need? How can you best support your colleagues to improve mathematics teaching and learning? Becoming a Primary Mathematics Specialist Teacher helps you explore the role of the specialist in promoting positive attitudes towards mathematics and developing the teaching and learning of mathematics in your primary school. Illustrated throughout with classroom-based examples and referenced to relevant research, it is designed to support your development as a reflective practitioner who can confidently review and develop practice in your own classroom, as well as challenge and move the whole school forward through collaborative professional development. Essential topics explored include: The nature of the role of the primary mathematics specialist Understanding how attitudes to mathematics evolve, and why it is crucial to challenge and change negativity What we mean by deep subject knowledge in primary mathematics Pedagogical knowledge of how mathematics is taught and learned The skills of coaching and mentoring to support teachers and teaching assistants Unpicking the principles of progression for high quality teaching in all years groups The key features of deep subject knowledge and pedagogy in three areas of the curriculum: multiplication, time and data handling. Becoming a Primary Mathematics Specialist Teacher is an essential source of guidance and ideas for all primary school teachers aiming to achieve Mathematics Specialist status or already taking this role, those studying primary mathematics as a specialism and at masters level, and for all primary mathematics co-ordinators.


Problem Solving in Mathematics Instruction and Teacher Professional Development

Problem Solving in Mathematics Instruction and Teacher Professional Development

Author: Patricio Felmer

Publisher: Springer Nature

Published: 2019-11-22

Total Pages: 418

ISBN-13: 3030292150

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Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the role of teachers in problem-solving classrooms and their professional development, moving onto—secondly—the role of students when solving problems, with particular consideration of factors like group work, discussion, role of students in discussions and the effect of students’ engagement on their self-perception and their view of mathematics. Finally, the book considers the question of problem solving in mathematics instruction as it overlaps with problem design, problem-solving situations, and actual classroom implementation. The volume brings together diverse contributors from a variety of countries and with wide and varied experiences, combining the voices of leading and developing researchers. The book will be of interest to any reader keeping on the frontiers of research in problem solving, more specifically researchers and graduate students in mathematics education, researchers in problem solving, as well as teachers and practitioners.