Thinking Deeply about Primary Mathematics is a comprehensive exploration of the ideas, theories and practices of most value to beginning teachers, as well as any teacher with the desire to improve their practice. Immediately applicable in the classroom and supported by robust analysis of research into mathematics teaching, this book is designed to provide inspiration for specialised teaching assignments with the power to enhance both the rate and quality of your professional development journey. Through the use of expertly crafted explanations, examples and tasks, each chapter will guide you step by step through the otherwise intimidating world of primary mathematics teaching. This book is perfect for teachers driven to become highly effective practitioners. It also serves as a blueprint for school leaders looking to develop the abilities of their teachers and ensure the highest quality mathematics education for all children. Teacher proficiency is a vast uneven continuum but in taking time to think deeply about primary mathematics we allow ourselves with the opportunity to build a solid base from which a successful, fulfilling career can be constructed. The insight and expertise provided by Thinking Deeply About Primary Mathematics is essential for anyone involved in the teaching of mathematics.

The essential guide to the science behind reading and its practical implications for classroom teaching in primary schools. Teaching children to read is one of the most important tasks in primary education and classroom practice needs to be underpinned by a secure foundation of knowledge. Teachers need to know what reading entails, how children learn to read and how it can be taught effectively. This book is an essential guide for primary teachers that explores the key technical and practical aspects of how children read with strong links to theory and how to translate this into the classroom. Bite-size chapters offer accessible research-informed ideas across all major key topics including phonics, comprehension, teaching children with reading difficulties and strategies for the classroom. Key features include: · Discussions of implications for the classroom · Questions for further professional discussions · Retrieval quizzes · Further reading suggestions · Glossary of key terms Christopher Such is a primary school teacher and the author of the education blog Primary Colour. He can be found on Twitter via @Suchmo83.

Winner of the Mathematics Association of America's 2021 Euler Book Prize, this is an inclusive vision of mathematics—its beauty, its humanity, and its power to build virtues that help us all flourish“This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart.”—James Tanton, Global Math Project"A good book is an entertaining read. A great book holds up a mirror that allows us to more clearly see ourselves and the world we live in. Francis Su’s Mathematics for Human Flourishing is both a good book and a great book."—MAA Reviews For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity’s most beautiful ideas.In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award‑winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires—such as for play, beauty, freedom, justice, and love—and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother’s, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher’s letters to the author appear throughout the book and show how this intellectual pursuit can—and must—be open to all.

If you are teaching or learning to teach primary mathematics, this is the toolkit to support you! Not only does it cover the essential knowledge and understanding that you and your pupils need to know, it also offers 176 great ideas for teaching primary mathematics - adaptable for use within different areas of mathematics and for different ages and abilities. Tackling children’s misconceptions in each topic area and differentiation through open-ended tasks and elements of choice, the book encourages you to think deeply about the teaching of the primary mathematics curriculum. The classroom activities, which are simple to resource and use, support you in meeting the Teachers’ Standards securely and encourage children to: Think deeply about mathematics and to challenge themselves Develop mathematical independence Engage in mathematical talk Work collaboratively with others to further understanding Whether you are just getting started in your teaching career or more experienced you will find a wealth of innovative activities to support you in teaching primary mathematics in effective and creative ways. "This book is an absolute must for every primary teacher. The perfect blend of subject knowledge, common misconceptions, pupil activities and self-assessment questions will support all those who are feeling slightly less than confident about teaching a mathematical topic. It will also be invaluable to experienced teachers and subject leaders who wish to think more deeply about how to teach mathematics effectively." Sue Davis, Primary PGCE Course Leader and Lecturer in Mathematics Education, University of Leicester, UK "This book has the conversational style of an excellent mentor and/or tutor of primary mathematics. It offers advice and guidance on how to be an effective teacher of mathematics whilst still drawing the reader’s attention to the importance of developing good subject knowledge, and how this can be addressed. Mathematical concepts are explained with reference to their theoretical underpinning and are then set in the context of real learning opportunities that illustrate good pedagogy. There is a real emphasis on teaching for learning, and this is most evident in the introductory chapter which provides a brief discussion of the big issues currently being debated in the field of primary mathematics. The consistent format of the subject chapters supports the reader’s ability to plan and teach a wide range of appropriate activities based on rich mathematics. These are all neatly illustrated by children’s drawings which bring the book to life.This is an all encompassing text for any student or teacher of mathematics and will feature on my highly recommended reading list." Paula Stone, Senior Lecturer Primary Education (Mathematics), Canterbury Christ Church University, UK "This book is ideal for student and practicing teachers alike. The user-friendly format such as the overview of contents at the beginning of each chapter and the highlighting of key misconceptions in each area, make it easy to locate relevant information. Each chapter evolves logically through subject knowledge and progression in learning for children. This book stands out from other texts I have used as there is an extremely helpful section at the end of each chapter which provides suggested classroom activities with associated learning objectives for each area of mathematics. As a final year student, I only wish this book had been available to me at the beginning of my course!" Shelley Rogers, Student Teacher, University of Chichester, UK "This book approaches the teaching of primary mathematics with a clear ethos, which is explained in the first chapter and then pervades all the suggestions and discussions which follow. The author deals with issues such as turning children’s misconceptions and ‘mistakes’ into learning opportunities, provoking the children into communicating their reasoning and differentiating lessons in ways that empower rather than categorise children. The author’s experience of having taught and observed hundreds of mathematics lessons is distilled into the essence of primary mathematics teaching." Dr Marcus Witt, Senior Lecturer in Primary and Early Years Mathematics Education, University of the West of England, UK "The theory sections of the book are really detailed which helps to provide a secure knowledge base for teaching primary mathematics. I especially like the way that the book is laid out; it is really easy to navigate. I love how the common misconceptions are outlined and explained in boxes separate to the body of the text but are also re-listed at the end of a chapter so that you could revise the potential issues which may arise before you start to teach a particular topic. The activities are well organised and adaptable but it is useful to see which age range each activity is suggested for at a glance, alongside the learning objective." Natalie Ridler, NQT

researchED is an educator-led organisation with the goal of bridging the gap between research and practice. This accessible and punchy series, overseen by founder Tom Bennett, tackles the most important topics in education, with a range of experienced contributors exploring the latest evidence and research and how it can apply in a variety of classroom settings. Literacy is one of the most powerful and transformative learning tools: making changes and improvements in Literacy will have a direct impact on your work, your learning and your aspirations across all subjects in the curriculum. In this book, Stephen Lockyer brings together contributions from expert writers, including Clare Sealy, Emma Stokes, Neil Almond and Andrew Percival, to show how making tiny, incremental changes with consistency and genuine purpose can have a big effect on your students, their literacy, and their learning. Each chapter has an abundance of ideas to take into your classroom and have a direct impact on the pupils.

This book examines how mathematical mastery, influenced by East Asian teaching approaches, can be developed in UK schools to enhance teaching and to deepen children’s mathematical knowledge. It gives guidance on using physical resources to demonstrate key concepts, extended examples on how to teach different curriculum topics and how to plan for small-step progression. It argues that effective mastery teaching requires careful and knowledgeable support for primary teachers who may not yet be maths specialists. New to this second edition: New chapter on variation theory and practice Updated case studies exploring how mastery teaching has evolved Updated review of current mastery resources available to UK teachers Robert Newell is a lecturer at the UCL Institute of Education, London.

An all-encompassing guide to mastering teaching maths in secondary schools, Succeeding as a Maths Teacher is a unique manual that gives advice and guidance for maths teachers at all stages of their career. This handbook not only offers foundational advice on how to deliver the most effective maths lessons, but also delves deeper into key ideas for more experienced teachers, such as how the science of learning applies to mathematics and nuances in instructional design. Written by lead practitioners in maths at Ormiston Academies Trust, with a combined teaching experience of over 60 years, Succeeding as a Maths Teacher takes you from your first days in the classroom through to leading a department. Along the way, the authors explore the purpose of a maths education, topics such as modelling and questioning, how to develop a high-quality maths curriculum and the importance of planning learning over lessons, adapting your teaching in light of feedback, reasoning and solving problems, and enriching pupils' experiences of learning maths. The Succeeding As... series offers practical, no-nonsense guidance to help you excel in a specific role in a secondary school. Including everything you need to be successful in your teaching career, the books are ideal for those just starting out as well as more experienced practitioners looking to develop their skill sets.

There is more than one way to think. Most people are familiar with the systematic, rule-based thinking that one finds in a mathematical proof or a computer program. But such thinking does not produce breakthroughs in mathematics and science nor is it the kind of thinking that results in significant learning. Deep thinking is a different and more basic way of using the mind. It results in the discontinuous "aha!" experience, which is the essence of creativity. It is at the heart of every paradigm shift or reframing of a problematic situation. The identification of deep thinking as the default state of the mind has the potential to reframe our current approach to technological change, education, and the nature of mathematics and science. For example, there is an unbridgeable gap between deep thinking and computer simulations of thinking. Many people suspect that such a gap exists, but find it difficult to make this intuition precise. This book identifies the way in which the authentic intelligence of deep thinking differs from the artificial intelligence of "big data" and "analytics." Deep thinking is the essential ingredient in every significant learning experience, which leads to a new way to think about education. It is also essential to the construction of conceptual systems that are at the heart of mathematics and science, and of the technologies that shape the modern world. Deep thinking can be found whenever one conceptual system morphs into another. The sources of this study include the cognitive development of numbers in children, neuropsychology, the study of creativity, and the historical development of mathematics and science. The approach is unusual and original. It comes out of the author's lengthy experience as a mathematician, teacher, and writer of books about mathematics and science, such as How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics and The Blind Spot: Science and the Crisis of Uncertainty.

Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you show students math’s essential elegance, as well as its practicality—and help them discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way —through a conceptual lens—helping students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and even guides you through an ideal concept-based classroom. Practical tools include: Examples from arithmetic to calculus Inquiry tasks, unit planners, templates, and activities Sample assessments with examples of student work Vignettes from international educators A dedicated companion website with additional resources, including a study guide, templates, exemplars, discussion questions, and other professional development activities. Everyone has the power to understand math. By extending Erickson and Lanning’s work on Concept-Based Curriculum and Instruction specifically to math, this book helps students achieve the deep understanding and skills called for by global standards and be prepared for the 21st century workplace. "Jennifer Wathall’s book is one of the most forward thinking mathematics resources on the market. While highlighting the essential tenets of Concept-Based Curriculum design, her accessible explanations and clear examples show how to move students to deeper conceptual understandings. This book ignites the mathematical mind!" — Lois A. Lanning, Author of Designing Concept-based Curriculum for English-Language Arts, K-12 "Wathall is a master at covering all the bases here; this book is bursting with engaging assessment examples, discussion questions, research, and resources that apply specifically to mathematical topics. Any math teacher or coach would be hard-pressed to read it and not come away with scores of ideas, assessments, and lessons that she could use instantly in the classroom. As an IB Workshop Leader and instructional coach, I want this book handy on a nearby shelf for regular referral – it′s a boon to any educator who wants to bring math to life for students." — Alexis Wiggins, Instructional Coach, IB Workshop Leader and Consultant

This book stems from the authors’ shared passion for primary mathematics teaching and offers an exploration of contemporary issues facing teachers. Drawing on research and case studies from practice, the book explores a wide range of concepts as starting points for professional reflection and personal development to improve teaching and learning in primary mathematics. Topics covered include: Using children’s mathematical misconceptions to support teaching and learning The role of talk in developing mathematical understanding Evidence-based teaching and learning Making mathematics real and purposeful beyond the classroom The role of games in teaching and learning mathematics ICT and mathematics The book illustrates the ways in which professional development that is rooted in practitioner inquiry and research enables teachers to advance their practice, resulting in improved outcomes for their pupils. Improving Primary Mathematics Teaching and Learning is appropriate for teachers undertaking professional development programmes (e.g. MaST, MA programmes), trainee teachers and staff on those programmes, both local authority and independent. Contributors: Mike Askew, Sue Bailey, Elizabeth Carruthers, Victoria Grinyer, Alice Hansen, Lynne McClure, Effie Maclellan, Suzan Nelson, Carol Rushworth-Little, Steve Sherer, Ian Thompson, Vivien Townsend, Maulfry Worthington. "In this book Mary McAteer brings together contributors with a wealth of experience in research and practice. The way in which practical and theoretical perspectives are brought to life with case studies and examples make it a highly readable text and every chapter adds new insights into children's mathematics learning." Dr Julia Anghileri, University of Cambridge (retired)