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Childrens Mathematics 4 15 Learning From Errors And Misconceptions
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Book Synopsis Children'S Mathematics 4-15: Learning From Errors And Misconceptions by : Ryan, Julie
Download or read book Children'S Mathematics 4-15: Learning From Errors And Misconceptions written by Ryan, Julie and published by McGraw-Hill Education (UK). This book was released on 2007-04-01 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work uses data from the authors' own research on children's performance, errors and misconceptions across the mathematics curriculum. It develops concepts for teachers to use in organising their understanding and knowledge of children's mathematics, and concludes with theoretical accounts of learning and teaching.
Book Synopsis Presenting Children to Maths: Stronger Character for Better Learning by : David Shattock
Download or read book Presenting Children to Maths: Stronger Character for Better Learning written by David Shattock and published by John Catt. This book was released on 2023-09-22 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is not a universally popular subject, neither within nor outside of school. There are those who love it but many do not, and it is not uncommon for people to take a perverse pride in being bad at it. This book argues that, while much-needed improvements to mathematics teaching are necessary to address such issues, they are insufficient without also imbuing children with the character required to learn it effectively. Teachers of mathematics are responsible not only for applying skilful pedagogy but also for developing a productive learning culture within the mathematics classroom. We need to consider the emotional and social impact on children of teachers' own attitudes and beliefs about mathematics and how children should be taught it. Sometimes provocative and irreverent but always stimulating and lucid, Presenting Children to Maths is an original and profound discussion about how students' ability and success in mathematics depends largely on how their disposition and will are shaped towards learning it.
Book Synopsis Social Psychology Matters by : Hollway, Wendy
Download or read book Social Psychology Matters written by Hollway, Wendy and published by McGraw-Hill Education (UK). This book was released on 2006-12-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Social Psychology Matters explores the significance of social psychology in the twenty-first century and the important contribution it can and does make to understanding ourselves and others in today?s world. This book is designed to help the reader navigate the complex and ever-changing nature of the discipline and gain an overview of the key concepts, methods and theories. The authors adopt a broad approach to trace the roots and legacies of social psychology with a keen eye to the future. Each chapter provides an in-depth look at a social psychological topic of significance, ranging from self and conflict to families and embodiment. Four theoretical perspectives ? cognitive social, discursive psychological, phenomenological and social psychoanalytic ? enable students to critically analyse social psychological research. These perspectives are interpreted through the interrogative themes of: Individual?society dualism Agency?structure dualism Situated knowledges Power relations This stimulating and accessible text uses real-life experience to demonstrate why social psychology matters and how our understanding of these topics can be continually enhanced and constructively applied.
Book Synopsis Children's Errors in Mathematics by : Alice Hansen
Download or read book Children's Errors in Mathematics written by Alice Hansen and published by SAGE. This book was released on 2011-02-01 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical guide to children's common errors and misconceptions in mathematics is ideal for primary trainees, helping them gain a deeper understanding of the difficulties encountered in mathematical development. This Second Edition has been fully revised and all links to the EYFS and the Revised Primary Framework have been updated. New research and literature are included, additional errors are considered, and using and applying mathematics is fully embedded throughout. Individual misconceptions are dealt with and in each case a description and explanation of the error is provided. The teacher's role in understanding and addressing common misconceptions is also covered.
Book Synopsis Learning and Teaching Mathematics 0-8 by : Helen Taylor
Download or read book Learning and Teaching Mathematics 0-8 written by Helen Taylor and published by SAGE. This book was released on 2013-11-14 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: ′What a super book! It is absolutely packed with practical ideas and activities to help you love maths, and love teaching and/or learning it. It certainly helps to develop an enthusiasm for a subject most adults tend to say "I′m no good at..."′ - Early Years Educator ‘A wonderful book, packed with practical ideas and activities to help all students love maths.’ - Jo Boaler, Professor of Mathematics Education, Stanford University Fostering an enthusiasm for mathematics in young children is a vital part of supporting their mathematical development. Underpinned by subject and pedagogical knowledge, case studies and research-based perspectives, the authors provide clear guidance on how to support young children′s learning and understanding in an effective and engaging way. Contemporary approaches to developing essential mathematical learning for young children are explored, including: play, practical activities and talk for mathematics outdoor learning understanding pattern counting, calculation and place value measures and shape problem solving and representing mathematics assessment working with parents. Written for both trainees and practitioners working with children aged 0 to 8 years, including those studying for Early Years and Early Childhood degrees and those on Primary PGCE and Primary Education courses, this book offers mathematical subject knowledge and teaching ideas in one volume. Helen Taylor is Course Leader of PGCE Primary Part-time Mathematics at Canterbury Christ Church University. Andrew Harris is Course Leader of PGCE Modular Mathematics at Canterbury Christ Church University.
Book Synopsis Mentoring Mathematics Teachers in the Secondary School by : Rosa Archer
Download or read book Mentoring Mathematics Teachers in the Secondary School written by Rosa Archer and published by Taylor & Francis. This book was released on 2023-12-01 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical workbook assists school-based mentors of mathematics teachers to develop their mentoring skills, offering mentors the essential guidance needed in order to effectively support trainee or newly qualified secondary mathematics teachers, as well as in their overall career development. Offering tried and tested strategies based on research and evidence, Mentoring Mathematics Teachers in the Secondary School covers the knowledge, skills and understanding every mentor needs and offers practical tools such as lesson plans and feedback sheets, observation sheets, case studies, sample dialogues and other learning activities and exercises. Together with analytical tools for self-evaluation, this book is a vital source of support and inspiration for all those involved in developing the next generation of outstanding mathematics teachers, whether in teacher training or as newly qualified or early-career teachers. Key topics explored include: Roles and responsibilities of mentors within mathematics education, and understanding yourself as a mentor The mentor–mentee relationship, and helping develop a beginning teacher’s identity Supporting specific aspects of beginning mathematics teachers’ knowledge, skills and understanding, including developing reflective practice, lesson planning and mathematical misconceptions Strategies for observation and analysis of lessons, marking, assessment and the use of data Mentoring for long-term career and teacher development Filled with the key tools needed for the mentor’s individual development, Mentoring Mathematics Teachers in the Secondary School offers an accessible and practical guide to mentoring trainee teachers and early-career teachers with ready-to-use strategies that support, inspire and elevate both mentors and teachers alike. This book also includes an online eResource offering downloadable resources and web-based training material.
Book Synopsis Math Instruction for Students with Learning Problems by : Susan Perry Gurganus
Download or read book Math Instruction for Students with Learning Problems written by Susan Perry Gurganus and published by Taylor & Francis. This book was released on 2017-02-24 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math Instruction for Students with Learning Problems, Second Edition provides a research-based approach to mathematics instruction designed to build confidence and competence in pre- and in-service PreK–12 teachers. This core textbook addresses teacher and student attitudes toward mathematics, as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. The material is rich with opportunities for class activities and field extensions, and the second edition has been fully updated to reference both NCTM and CCSSM standards throughout the text and includes an entirely new chapter on measurement and data analysis.
Book Synopsis The Creative Enterprise of Mathematics Teaching Research by : Bronislaw Czarnocha
Download or read book The Creative Enterprise of Mathematics Teaching Research written by Bronislaw Czarnocha and published by Springer. This book was released on 2016-07-28 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Creative Enterprise of Mathematics Teaching Research presents the results and methodology of work of the teaching-research community of practice of the Bronx (TR Team of the Bronx). It has a twofold aim of impacting both teachers of Mathematics and researchers in Mathematics Education. This volume can be used by teachers of mathematics who want to use research to reflect upon and to improve their teaching craft, as well as by researchers who are interested in uncovering riches of classroom learning/teaching for research investigations. This book represents the results of a collaboration of instructors discussing their own instruction research, analyzed through a conceptual framework obtained via the synthesis of creativity research and educational learning theories, based upon the work of Piaget and Vygotsky. The editors see an urgent need for creative synthesis of research and teaching, an example of which is presented in the book. Two central themes of the book are the methodology of TR/NYCity model and creativity, more precisely, creativity of the Aha moment formulated by Arthur Koestler (1964) in a very profound but little known theory of bisociation exposed in his work “The Act of Creation”. Incorporation of the theory of bisociation into classroom teaching of mathematics provides the key to enable students who may struggle with mathematics to engage their own creativity, become involved in their learning process and thus reach their full potential of excellence. Creativity in teaching remedial mathematics is teaching gifted students how to access their own giftedness.
Book Synopsis Mathematical Knowledge in Teaching by : Tim Rowland
Download or read book Mathematical Knowledge in Teaching written by Tim Rowland and published by Springer Science & Business Media. This book was released on 2011-01-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.
Book Synopsis Math Instruction for Students with Learning Difficulties by : Susan Perry Gurganus
Download or read book Math Instruction for Students with Learning Difficulties written by Susan Perry Gurganus and published by Routledge. This book was released on 2021-11-29 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This richly updated third edition of Math Instruction for Students with Learning Difficulties presents a research-based approach to mathematics instruction designed to build confidence and competence in preservice and inservice PreK- 12 teachers. Referencing benchmarks of both the National Council of Teachers of Mathematics and Common Core State Standards for Mathematics, this essential text addresses teacher and student attitudes towards mathematics as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. Chapters on assessment and instruction precede strands that focus on critical concepts. Replete with suggestions for class activities and field extensions, the new edition features current research across topics and an innovative thread throughout chapters and strands: multi-tiered systems of support as they apply to mathematics instruction.
Book Synopsis Primary Mathematics: Volume 4 by : Penelope Baker
Download or read book Primary Mathematics: Volume 4 written by Penelope Baker and published by Cambridge University Press. This book was released on 2023-08-31 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primary Mathematics: Integrating Theory with Practice is a comprehensive introduction to teaching mathematics in Australian primary schools. Closely aligned with the Australian Curriculum, it provides a thorough understanding of measurement, geometry, patterns and algebra, data and statistics, and chance and probability. The fourth edition provides support for educators in key aspects of teaching: planning, assessment, digital technologies, diversity in the classroom and integrating mathematics content with other learning areas. It also features a new chapter on the role of education support in the mathematics classroom. Each chapter has been thoroughly revised and is complemented by classroom snapshots demonstrating practical application of theories, activities to further understanding and reflection questions to guide learning. New in this edition are 'Concepts to consider', which provide a guided explanation and further discussion of key concepts to support pre- and in-service teachers' learning and teaching of the fundamentals of mathematics.
Book Synopsis Primary Mathematics: Teaching For Understanding by : Barmby, Patrick
Download or read book Primary Mathematics: Teaching For Understanding written by Barmby, Patrick and published by McGraw-Hill Education (UK). This book was released on 2009-09-01 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.....
Book Synopsis Learning to Teach Mathematics in the Secondary School by : Sue Johnston-Wilder
Download or read book Learning to Teach Mathematics in the Secondary School written by Sue Johnston-Wilder and published by Routledge. This book was released on 2016-09-13 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning to Teach Mathematics in the Secondary School combines theory and practice to present a broad introduction to the opportunities and challenges of teaching mathematics in the secondary school classroom. This fourth edition has been fully updated to reflect the latest changes to the curriculum and research in the field, taking into account key developments in teacher training and education, including examinations and assessment. Written specifically with the new and student teacher in mind, the book covers a wide range of issues related to the teaching of mathematics, such as: why we teach mathematics the place of mathematics in the National Curriculum planning, teaching and assessing for mathematics learning how to communicate mathematically using digital technology to advance mathematical learning working with students with special educational needs post-16 teaching the importance of professional development the affective dimension when learning mathematics, including motivation, confidence and resilience Already a major text for many university teaching courses, this revised edition features a glossary of useful terms and carefully designed tasks to prompt critical reflection and support thinking and writing up to Masters Level. Issues of professional development are also examined, as well as a range of teaching approaches and styles from whole-class strategies to personalised learning, helping you to make the most of school experience, during your training and beyond. Designed for use as a core textbook, Learning to Teach Mathematics in the Secondary School provides essential guidance and advice for all those who aspire to be effective mathematics teachers.
Book Synopsis Primary Mathematics by : Penelope Baker
Download or read book Primary Mathematics written by Penelope Baker and published by Cambridge University Press. This book was released on 2023-08-31 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primary Mathematics: Integrating Theory with Practice is a comprehensive introduction to teaching mathematics in Australian primary schools. Closely aligned with the Australian Curriculum, it provides a thorough understanding of measurement, geometry, patterns and algebra, data and statistics, and chance and probability. The fourth edition provides support for educators in key aspects of teaching: planning, assessment, digital technologies, diversity in the classroom and integrating mathematics content with other learning areas. It also features a new chapter on the role of education support in the mathematics classroom. Each chapter has been thoroughly revised and is complemented by classroom snapshots demonstrating practical application of theories, activities to further understanding and reflection questions to guide learning. New in this edition are 'Concepts to consider', which provide a guided explanation and further discussion of key concepts to support pre- and in-service teachers' learning and teaching of the fundamentals of mathematics.
Book Synopsis The 'BrainCanDo' Handbook of Teaching and Learning by : Julia Harrington
Download or read book The 'BrainCanDo' Handbook of Teaching and Learning written by Julia Harrington and published by Routledge. This book was released on 2020-07-12 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 'BrainCanDo' Handbook of Teaching and Learning provides teachers and school leaders with a concise summary of how some of the latest research in educational neuroscience and psychology can improve learning outcomes. It aims to create a mechanism through which our growing understanding of the brain can be applied in the world of education. Subjects covered include memory, social development, mindsets and character. Written by practising teachers working in collaboration with researchers, the chapters provide a toolkit of practical ideas which incorporate evidence from psychology and neuroscience into teaching practice with the aim of improving educational outcomes for all. By increasing both teachers’ and pupils’ understanding of the developing brain, ‘BrainCanDo’ aims to improve cognitive performance and attainment, foster a love of learning and enable a healthy and productive approach to personal development. This book will appeal to educators, primarily those working in secondary schools, but also those within higher and primary school education. It will also be of interest to students of education, professionals looking to enhance their teaching and researchers working in the fields of education, psychology and neuroscience.
Book Synopsis How Chinese Teach Mathematics by : Lianghuo Fan
Download or read book How Chinese Teach Mathematics written by Lianghuo Fan and published by World Scientific. This book was released on 2015-03-13 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book represents another concerted research effort concerning Chinese mathematics education, with contributions from the world's leading scholars and most active researchers. The book presents the latest original research work with a particular focus on the "teaching" side of Chinese mathematics education to a wide international audience. There are mainly three sections in the book. The first section introduces readers to a historical and contemporary perspective, respectively, on traditional mathematical teaching in ancient China and on how modern Chinese mathematics teachers teach and pursue their pre-service training and in-service professional development. The second section presents studies investigating a wide range of issues at both the macro- and micro-levels on how Chinese mathematics teachers teach mathematics. The third section focuses on Chinese mathematics teachers, investigating issues about their knowledge, belief, teacher training and professional development. Like its predecessor, "How Chinese Learn Mathematics: Perspectives from Insiders," this book is a must for educational researchers, practitioners, and policy-makers who are interested in knowing more about mathematics teaching, teachers, teacher education and professional development concerning Chinese teachers and learners.Contents: Focusing on Chinese Mathematics Teaching, Teachers and Teacher Education: An Introduction"Historical and Contemporary Perspectives: "The Wisdom of Traditional Mathematical Teaching in China "(DAI Qin and CHEUNG Ka Luen)" How Chinese Teachers Teach Mathematics and Pursue Professional Development: Perspectives from ContemporaryInternational Research "(FAN Lianghuo, MIAO Zhenzhen and MOK Ah Chee Ida)" "Understanding the Chinese Ways of Teaching Mathematics: " Mathematics Teaching in a Chinese Classroom: A Hybrid-Model Analysis of Opportunities for Students' Learning "(HUANG Rongjin, MILLER L Diane and TZUR Ron)"Achieving Coherence in the Mathematics Classroom: Toward a Framework for Examining Instructional Coherence "(WANG Tao, CAI Jinfa and HWANG Stephen)" Elementary School Teachers' Instruction in Measurement: Cases of Classroom Teaching of Spatial Measurement in Taiwan "(HUANG Hsin-Mei E)" Pedagogical and Curriculum Potentials of Homework: A Case Study about Geometric Proofs in Shanghai "(FANG Yanping)" Teaching Calculation of Time Intervals: Comparing Mathematics Competence of Students in Macau, Hong Kong and the Netherlands "(LI Titus Siu Pang)" Teaching Number Sense via Interactive Multimedia in a Primary School in Taiwan "(YANG Der-Ching, CHEN Pei-Chieh, TSAI Yi Fang and HSIEH Tien-Yu)"Teaching Geometrical Theorems in Grade 8 Using the "Shen Tou" Method: A Case Study in Shanghai "(DING Liping, JONES Keith and ZHANG Dianzhou)" Implementation of Objectives Based on the Curriculum Standards: A Case of Teaching Using Letter to Represent Number at a Chinese Primary School in Chinese Mainland "(HUANG Xingfeng, YANG Jinglei and LI Shiqi)" Chinese Project-based Classroom Practices: Promoting Students' Engagement in Mathematical Activities "(XU Binyan and ZHU Guangtian)"A Large-Scale Video Survey on Taiwanese Fourth-Grade Classrooms of Mathematical Teaching Behaviors "(LEE Yuan-Shun and LIN Fou-Lai)" Features of Exemplary Lessons under the Curriculum Reform in Chinese Mainland: A Study of Thirteen Elementary Mathematics Lessons "(MA Yunpeng and ZHAO Dongchen)" Qingpu Mathematics Teaching Reform and Its Impact on Student Learning "(GU Lingyuan, YANG Yudong and HE Zhenzhen)""Chinese Mathematics Teachers, Teacher Educati
Book Synopsis Mathematics as the Science of Patterns by : Patrick M. Jenlink
Download or read book Mathematics as the Science of Patterns written by Patrick M. Jenlink and published by IAP. This book was released on 2022-02-01 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics as the Science of Patterns: Making the Invisible Visible to Students through Teaching introduces the reader to a collection of thoughtful, research-based works by authors that represent current thinking about mathematics, mathematics education, and the preparation of mathematics teachers. Each chapter focuses on mathematics teaching and the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. The value of patterns to the teaching and learning of mathematics is well understood, both in terms of research and application. When we involve or appeal to pattern in teaching mathematics, it is usually because we are trying to help students to extract greater meaning, or enjoyment, or both, from the experience of learning environments within which they are occupied, and perhaps also to facilitate remembering. As a general skill it is thought that the ability to discern a pattern is a precursor to the ability to generalize and abstract, a skill essential in the early years of learning and beyond. Research indicates that the larger problem in teaching mathematics does not lie primarily with students; rather it is with the teachers themselves. In order to make changes for students there first needs to be a process of change for teachers. Understanding the place of patterns in learning mathematics is a predicate to understanding how to teach mathematics and how to use pedagogical reasoning necessary in teaching mathematics. Importantly, the lack of distinction created by the pedagogical use of patterns is not immediately problematic to the student or the teacher. The deep-seated cognitive patterns that both teachers and students bring to the classroom require change. Chapter 1 opens the book with a focus on mathematics as the science of patterns and the importance of patterns in mathematical problem solving, providing the reader with an introduction. The authors of Chapter 2 revisit the work of Po lya and the development and implementation of problem solving in mathematics. In Chapter 3, the authors present an argument for core pedagogical content knowledge in mathematics teacher preparation. The authors of Chapter 4 focus on preservice teachers’ patterns of conception as related to understanding number and operation. In Chapter 5 the authors examine the role of visual representation in exploring proportional reasoning, denoting the importance of helping learners make their thinking visible. The authors of Chapter 6 examine patterns and relationships, and the importance of each in assisting students’ learning and development in mathematical understanding. The authors of Chapter 7 examine the use of worked examples as a scalable practice, with emphasis on the importance of worked examples in teaching fraction magnitude and computation is discussed. In Chapter 8, the authors expand on the zone of proximal development to investigate the potential of Zankov’s Lesson in terms of students analyzing numerical equalities. The authors of Chapter 9 focus on high leverage mathematical practices in elementary pre-service teacher preparation, drawing into specific relief the APEX cycle to develop deep thinking. In Chapter 10, the author focuses on number talks and the engagement of students in mathematical reasoning, which provides opportunities for students to be sensemakers of mathematics. Chapter 11 presents an epilogue, focusing on the importance of recognizing the special nature of mathematics knowledge for teaching.
