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Author: Kieran Mackle
Publisher: Routledge
ISBN: 1317443357
Category : Education
Languages : en
Pages : 249
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Book Description
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.
Author: Kieran Mackle
Publisher: Routledge
ISBN: 1317443357
Category : Education
Languages : en
Pages : 249
Get Book Here
Book Description
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.
Author: Alice Hansen
Publisher: Learning Matters
ISBN: 1473905532
Category : Education
Languages : en
Pages : 305
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Book Description
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.
Author: Kieran Mackle
Publisher: Taylor & Francis
ISBN: 1317443365
Category : Education
Languages : en
Pages : 143
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Book Description
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.
Author: Teresa Neidorf
Publisher: Springer Nature
ISBN: 3030301885
Category : Education
Languages : en
Pages : 173
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Book Description
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.
Author: Kieran Mackle
Publisher:
ISBN: 9781138903784
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Prologue -- Introduction -- Part I Common misconceptions -- 1 Common misconceptions -- Part II Preventing, addressing and identifying children's errors -- 2 Statistics -- 3 Algebra -- 4 Number and place value -- 5 Addition and subtraction -- 6 Multiplication and division -- 7 Fractions -- 8 Ratio and proportion -- 9 Measurement -- 10 Geometry - properties of shape -- 11 Geometry - position and direction -- 12 Epilogue -- Index.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309175445
Category : Education
Languages : en
Pages : 102
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Book Description
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.
Author: Kieran Mackle
Publisher: John Catt
ISBN: 1913808602
Category : Education
Languages : en
Pages : 358
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Book Description
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.
Author: Tom Garry
Publisher: Bloomsbury Publishing
ISBN: 1472969758
Category : Education
Languages : en
Pages : 161
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Book Description
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.
Author: Barbara Clarke
Publisher: Springer Science & Business Media
ISBN: 0387096698
Category : Education
Languages : en
Pages : 311
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Book Description
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.
Author: Barmby, Patrick
Publisher: McGraw-Hill Education (UK)
ISBN: 0335229263
Category : Education
Languages : en
Pages : 232
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Book Description
This book addresses the particular areas of mathematics within the primary curriculum that teachers find difficult to teach and in which children struggle to achieve.. .It begins with introductory sections on how children learn mathematics and is then organised on a subject area basis, dealing with the teaching of particular maths topics. Key topics addressed include rounding and measuring, means and medians, fractions, negative numbers, commutative and associative laws in number operations, and shape and space. .Within each chapter, the authors examine the themes of representing, reasoning and communicating, drawing out both the subject knowledge and ways of teaching each topic. A reference section for studies drawn upon is provided at the end of each chapter.....
