Download or read book Tackling Misconceptions in Primary Mathematics written by Kieran Mackle and published by Routledge. This book was released on 2016-10-04 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Did you know that a circle has more than one side? Are you aware of the difference between 1:2 and 1⁄2? Could you spot when a 2D shape is actually 3D? Tackling Misconceptions in Primary Mathematics is a practical guide based on the principles that sound subject knowledge is key to fostering understanding, and addressing misconceptions is central to pupil progress. With an emphasis on preventing as well as unpicking misconceptions in the classroom, it offers trainee and practising teachers clear explanations, practical strategies, and examples of the classroom language and dialogue that will help pupils successfully navigate tricky topics. The book demonstrates the importance of preventing misconceptions through what is said, done and presented to children, giving a variety of examples of common misconceptions and exploring how they can be addressed in a classroom environment. Proper intervention at the point of misconception is regarded as a key skill for any outstanding classroom practitioner and the author stresses the value in understanding how the pupil got there and explaining that it’s okay to make mistakes. Misconceptions are only one step away from correctly formed concepts if harnessed with care and skill. This comprehensive text is designed to be read as either a short course introduction, or dipped into as a guide to assist teaching. It is essential reading for trainee primary school teachers on all routes to QTS, as well as mathematics subject leaders and practising teachers looking to inspire the next generation of confident and inquisitive mathematicians.
Download or read book Tackling Misconceptions in Primary Mathematics written by Kieran Mackle and published by . This book was released on 2016-09-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sound subject knowledge is key to fostering understanding and addressing misconceptions is central to pupil progress. Proper intervention at the point of misconception is regarded as a key skill for any outstanding classroom practitioner. This comprehensive guide to the most common misconceptions in primary mathematics is designed to be read as either a short course or dipped into to guide teaching that week. With an emphasis on preventing as well as unpicking misconceptions in the classroom, it offers trainee and beginning teachers clear explanations, practical strategies and examples of the classroom language and dialogue that will help pupils successfully navigate tricky topics.
Download or read book Children s Errors in Mathematics written by Alice Hansen and published by Learning Matters. This book was released on 2014-06-23 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical guide to children’s common errors and misconceptions in mathematics is a popular planning tool for primary trainees. It supports a deeper understanding of the difficulties encountered in mathematical development. This third edition has been updated to link to the new National Curriculum. New for this edition is a chapter on addressing errors misconceptions which explores how errors can best be identified and countered. The text examines misconceptions individually and in each case provides a description of the error alongside an explanation of why the error happens. The text also considers the role of the teacher in understanding and addressing children’s common mathematical misconceptions.
Download or read book Children s Errors in Mathematics written by Alice Hansen and published by Learning Matters. This book was released on 2017-07-29 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical and popular guide to children’s common errors and misconceptions in primary mathematics is an essential tool for teachers and trainees. It supports them in planning for and tackling potential errors and enhances their understanding of the difficulties encountered in mathematical development. This fourth edition explores how a Growth Mindset approach works alongside an awareness of children′s errors and how mistakes themselves are powerful learning tools. This edition includes 50 new identifiable misconceptions children have of mathematics. The text also considers the role of the teacher in understanding and addressing children’s common mathematical misconceptions. Key features: Linked to the new National Curriculum and covers every objective Provides an essential tool for planning primary mathematics lessons Explores how common misconceptions can be anticipated and addressed
Download or read book Essential Primary Mathematics written by Caroline Rickard and published by McGraw-Hill Education (UK). This book was released on 2013-05-16 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Mathematics Inside the Black Box written by Dylan Wiliam and published by Granada Learning. This book was released on 2006 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Misconceptions written by Anne D Cockburn and published by SAGE. This book was released on 2008-11-19 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do children relate to numbers and mathematics? How can they be helped to understand and make sense of them? People are rarely ambivalent towards mathematics, having either a love or hate relationship with the subject, and our approach to it is influenced by a variety of factors. How we are taught mathematics as children plays a big role in our feelings towards it. Numbers play a large part in our lives, and it is therefore beneficial to inspire a positive attitude towards them at a young age. With contributors comprised of teachers, teacher educators, mathematicians and psychologists, Mathematical Misconceptions brings together information about pupils′ work from four different countries, and looks at how children, from the ages of 3 - 11, think about numbers and use them. It explores the reasons for their successes, misunderstandings and misconceptions, while also broadening the reader′s own mathematical knowledge. Chapters explore: - the seemingly paradoxical number zero - the concept of equality - children′s perceptions and misconceptions of adding, subtracting, multiplying and dividing - the learning process - the ways in which children acquire number concepts. This unique book will transform the way in which primary school teachers think about mathematics. Fascinating reading for anyone working with children of this age, it will be of particular interest to teachers, trainee teachers and teaching assistants. It will show them how to engage children in the mysteries and delights of numbers.
Download or read book Student Misconceptions and Errors in Physics and Mathematics written by Teresa Neidorf and published by Springer Nature. This book was released on 2019-10-30 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access report explores the nature and extent of students’ misconceptions and misunderstandings related to core concepts in physics and mathematics and physics across grades four, eight and 12. Twenty years of data from the IEA’s Trends in International Mathematics and Science Study (TIMSS) and TIMSS Advanced assessments are analyzed, specifically for five countries (Italy, Norway, Russian Federation, Slovenia, and the United States) who participated in all or almost all TIMSS and TIMSS Advanced assessments between 1995 and 2015. The report focuses on students’ understandings related to gravitational force in physics and linear equations in mathematics. It identifies some specific misconceptions, errors, and misunderstandings demonstrated by the TIMSS Advanced grade 12 students for these core concepts, and shows how these can be traced back to poor foundational development of these concepts in earlier grades. Patterns in misconceptions and misunderstandings are reported by grade, country, and gender. In addition, specific misconceptions and misunderstandings are tracked over time, using trend items administered in multiple assessment cycles. The study and associated methodology may enable education systems to help identify specific needs in the curriculum, improve inform instruction across grades and also raise possibilities for future TIMSS assessment design and reporting that may provide more diagnostic outcomes.
Download or read book Science Teaching Reconsidered written by National Research Council and published by National Academies Press. This book was released on 1997-03-12 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Effective science teaching requires creativity, imagination, and innovation. In light of concerns about American science literacy, scientists and educators have struggled to teach this discipline more effectively. Science Teaching Reconsidered provides undergraduate science educators with a path to understanding students, accommodating their individual differences, and helping them grasp the methodsâ€"and the wonderâ€"of science. What impact does teaching style have? How do I plan a course curriculum? How do I make lectures, classes, and laboratories more effective? How can I tell what students are thinking? Why don't they understand? This handbook provides productive approaches to these and other questions. Written by scientists who are also educators, the handbook offers suggestions for having a greater impact in the classroom and provides resources for further research.
Download or read book Thinking Deeply About Primary Mathematics written by Kieran Mackle and published by John Catt. This book was released on 2020-09-07 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mastery in Primary Mathematics written by Tom Garry and published by Bloomsbury Publishing. This book was released on 2020-02-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Transforming Primary Mathematics written by Mike Askew and published by Routledge. This book was released on 2012-02-07 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: "What is good mathematics teaching? What is mathematics teaching good for? Who is mathematics teaching for? These are just some of the questions addressed in Transforming Primary Mathematics, a highly timely new resource for teachers which accessibly sets out the key theories and latest research in primary maths today. Under-pinned by findings from the largest research programme into primary mathematics funded in recent years, it offers a clear, practical approach to implementing fundamental change in curriculum, classroom environment and teaching styles. Written by one of the top experts in mathematics education, it offers an inspiring, sometimes controversial, and often unconventional look at the subject of mathematics, by: - Endorsing the use of a 'new mathematics' - one based on problem solving, modelling and inquiry, not on abstract rules, memorising, and regurgitation - Arguing that there is more to maths teaching than 'death by a thousand worksheets' - Challenging norms, such as the practice of sorting children into sets based on their perceived mathematical ability - Asking whether this mathematical ability is innate or a result of social practices - Upholding the idea that mathematics teaching is an adaptive challenge, rather than a technical problem - Advocating an environment where teachers are encouraged to take risks - Looking at how best to prepare learners for an unknown future - Encouraging reflection on teachers' own beliefs and values about mathematics. Transforming Primary Mathematics is for all primary school teachers who want to make mathematics welcoming, engaging, inclusive and successful"--Résumé de l'éditeur.
Download or read book Common Misconceptions in Mathematics written by Bobby Ojose and published by University Press of America. This book was released on 2015-05-01 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book should be a handy tool for teachers of mathematics as they develop plans to confront the problem of misconceptions, which are common with students that often have their own notion of certain mathematical concepts, right or not. The onus is on the teacher to detect those misconceptions and help students remedy them. This book is written for that purpose. Teachers could emulate the presented strategies that the book has elucidated. Teachers may also devise their own strategies based on the source of the misconception as presented in the book. The research segment of each identified misconception will be helpful if teachers want to apprise themselves with what the literature says about the concept. In general, the book is meant for teachers who want to help students engage in mathematics that emphasize conceptual understanding.
Download or read book Tasks in Primary Mathematics Teacher Education written by Barbara Clarke and published by Springer Science & Business Media. This book was released on 2008-10-25 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mind the Gap written by Devon Primary Maths Team and published by . This book was released on 2011 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Overcoming Students Misconceptions in Science written by Mageswary Karpudewan and published by Springer. This book was released on 2017-03-07 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the importance of identifying and addressing misconceptions for the successful teaching and learning of science across all levels of science education from elementary school to high school. It suggests teaching approaches based on research data to address students’ common misconceptions. Detailed descriptions of how these instructional approaches can be incorporated into teaching and learning science are also included. The science education literature extensively documents the findings of studies about students’ misconceptions or alternative conceptions about various science concepts. Furthermore, some of the studies involve systematic approaches to not only creating but also implementing instructional programs to reduce the incidence of these misconceptions among high school science students. These studies, however, are largely unavailable to classroom practitioners, partly because they are usually found in various science education journals that teachers have no time to refer to or are not readily available to them. In response, this book offers an essential and easily accessible guide.
Download or read book Primary Mathematics written by Patrick Barmby and published by Open University Press. This book was released on 2009-09-01 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: "One feature of this book that sets it apart from others is the care that is taken to clarify the authors’ interpretation of the phrase 'teaching for understanding'. Each component of this interpretation – connections, representations, reasoning, communication and misconceptions – is then successfully incorporated as a theme in the subsequent chapters that develop important mathematical topics." Ian Thompson, Visiting Professor at Edge Hill University and Northumbria University, UK This important book aims to support and develop teachers' understanding of the key primary mathematics topics. It takes an innovative approach by defining exactly what is meant by 'understanding' and uses this model to examine and explain various mathematical topics. The authors emphasize the importance of the different representations that can be used for mathematical concepts and inform the reasoning process. By focusing on understanding, the book also draws attention to common misconceptions that teachers may encounter in the classroom. Key features: Specific focus on 'understanding' to offer new insights in to how to teach the topics Case studies to demonstrate how to communicate mathematical topics in the classroom End of chapter questions to stimulate discussion The authors integrate research and theory throughout, to highlight core issues. This theoretical background is also linked directly to classroom practice and informs suggestions for how topics can be communicated in the classroom. This offers valuable guidance to trainee teachers on how to teach the topics and presents experienced teachers with the opportunity to develop their subject and pedagogical knowledge.
