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The Learning And Teaching Of Number


The Learning And Teaching Of Number
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The Learning And Teaching Of Number


The Learning And Teaching Of Number
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Author : Rina Zazkis
language : en
Publisher: Taylor & Francis
Release Date : 2021-05-23

The Learning And Teaching Of Number written by Rina Zazkis and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-23 with Education categories.


Numbers are the backbones of mathematics. From 1 to infinity, numbers accompany and underlie the learning of mathematics and research. While perceived as familiar and understood, numbers present fascinating and often mysterious patterns, relationships and pedagogical issues. The Learning and Teaching of Number explores how mathematics education research has addressed issues related to the structure of numbers and number operations and provides a classroom context. It invites readers to explore less-travelled paths through a well-trodden terrain of number. This fascinating book combines mathematical content with pedagogical ideas and research results. Focusing on number, the book illustrates central ideas related to numbers via a variety of tasks at different levels of complexity. The Learning and Teaching of Number will allow the reader to examine and develop personal understanding of number sets and the relationships among them; enhance personal understanding of familiar topics associated with number operations; engage in a variety of tasks and strengthen personal problem-solving skills; enrich their repertoire of mathematical tasks and pedagogical actions; and consider research ideas and results related to teaching numbers, number operations and number relationships. This is a valuable resource for teacher education courses, graduate programs in mathematics education and professional development programs. Teacher trainers and maths teachers will find their personal understanding of numbers and relationships enriched and will draw connections between research and classroom pedagogy which will extend and enhance their teaching.



Learning And Teaching Mathematics 0 8


Learning And Teaching Mathematics 0 8
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Author : Helen Taylor
language : en
Publisher: SAGE
Release Date : 2013-11-14

Learning And Teaching Mathematics 0 8 written by Helen Taylor and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-14 with Education categories.


′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.



Learning And Teaching Number Theory


Learning And Teaching Number Theory
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Author : Stephen R. Campbell
language : en
Publisher: Praeger
Release Date : 2002

Learning And Teaching Number Theory written by Stephen R. Campbell and has been published by Praeger this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Education categories.


Annotation Essential to developing deeper understandings of mathematics, number theory has received scant attention in mathematics education research. This volume redresses this matter and serves as a launch point for further research in this important area.



Teaching Number In The Classroom With 4 8 Year Olds


Teaching Number In The Classroom With 4 8 Year Olds
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Author : Robert J Wright
language : en
Publisher: SAGE
Release Date : 2006-01-05

Teaching Number In The Classroom With 4 8 Year Olds written by Robert J Wright and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-05 with Education categories.


`At last a book is written by teachers for teachers based on sound research that will generate enquiry based learning. It is essential for every classroom with lots of mathematical activities. These will purposefully engage children and allow for differentiation for those who require additional support to understand the number system and the more able children who require to be challenged. Mathematical standards in our schools will improve tremendously following these instructional activities' - Carole Cannon, Development Officer for Mathematics Recovery 'This book ‘Teaching Number in the Classroom with 4-8 year olds’ is an absolute "must have" for all educators involved in early number. Based on sound theoretical foundations, it offers a wealth of down-to-earth, tried and tested, effective approaches to teaching early number concepts and skills. It is a clearly a book written by teachers for teachers. Every single activity in the book is a nugget. Engaging with these activities will change your whole approach to teaching early number' - Noreen O’Loughlin, Associate Vice-President/Lecturer in Maths Education, Mary Immaculate College, University of Limerick, Ireland. 'The authors prove it is possible to write a teacher friendly/teacher useful mathematics book that connects theory and practice. This book may become the primary teacher's "Math Bible"' - Angela Giglio Andrews, Primary Intervention Specialist and Coordinator, and Assistant Professor of Mathematics Education, National Louis University 'Teaching Number in the Classroom translates years of research into a very understandable and comprehensive approach for teaching children how the number system is structured and how to think like a mathematician. For too many years there has been the perception that children who are struggling with mathematics don't know the basic facts. The reality is that these children lack number knowledge and skills. Teaching Number in the Classroom will guide the educational professional through the steps of understanding the development of "number sense", identifying the current levels of knowledge and providing instruction that helps children use the "framework of mathematics" to solve number problems. Teaching Number in the Classroom is a thinking skills approach to mathematics. Children are taught a variety of strategies for solving mathematical problems. The teacher using this book will be able to help all children develop a strong foundation of mathematical understanding' - Carol Meland, K-3rd Grade Principal for the School District of Milton Wisconsin, USA Teaching Number in the Classroom with 4-8 year olds is an absolute "must-have" for all educators involved in early number. Based on sound theoretical foundations, it offers a wealth of down-to-earth, tried and tested, effective approaches to teaching early number concepts and skills. It is a clearly a book written by teachers for teachers. Every single activity in the book is a nugget. Engaging with these activities will change your whole approach to teaching early number' - Noreen O'Loughlin, Associate Vice-President/Lecturer in Maths Education, Mary Immaculate College, University of Limerick Following the success of their previous bestselling titles, Early Numeracy and Teaching Number, the authors of this brand-new text now bring the principles and practice of their acclaimed Mathematics Recovery Programme to whole-class teaching. Central to the book is the concept of an inquiry-based approach to classroom instruction, and topics covered range from beginning number and early counting strategies to multi-digit addition and subtraction right through to multiplication and division. As world leaders in the field of Mathematics Recovery, this book's authors have drawn on their vast experience to create a user-friendly, practical guide focusing on classroom teaching. With its step-by-step approach, the text can be used as a training manual and course reference by teachers everywhere. Key features which make the book such a valuable tool include: - Real-life examples from classroom work - Teaching activities - Assessment tasks - Guidance on classroom organization and teaching specific topics - Activities for parents to do with children An invaluable resource for experienced mathematics recovery teachers, as well as all primary classroom teachers, from kindergarten level to Year three, this text will also be of use to classroom assistants and learning support personnel. Primary mathematics advisors, numeracy consultants and educational psychologists will also find it helpful.



Teaching Number


Teaching Number
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Author : Ann K Stafford
language : en
Publisher: SAGE
Release Date : 2006-09-14

Teaching Number written by Ann K Stafford and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-14 with Education categories.


The book presents nine guiding principles for advancing children's early number skills and offers clear strategies more advanced instruction in addition, subtraction, multiplication, and division .



Learning To Teach Number


Learning To Teach Number
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Author : Len Frobisher
language : en
Publisher: Nelson Thornes
Release Date : 1999

Learning To Teach Number written by Len Frobisher and has been published by Nelson Thornes this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Education categories.


"Organised into 21 independent modules covering number concepts and systems, the four number operations and pre-algebra, the book provides models for pupils' learning as well as seeking to develop the reader's own understanding of the subject"--Back cover.



Teaching And Learning About Whole Numbers In Primary School


Teaching And Learning About Whole Numbers In Primary School
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Author : Terezinha Nunes
language : en
Publisher: Springer
Release Date : 2016-08-29

Teaching And Learning About Whole Numbers In Primary School written by Terezinha Nunes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-29 with Education categories.


This book offers a theory for the analysis of how children learn and are taught about whole numbers. Two meanings of numbers are distinguished – the analytical meaning, defined by the number system, and the representational meaning, identified by the use of numbers as conventional signs that stand for quantities. This framework makes it possible to compare different approaches to making numbers meaningful in the classroom and contrast the outcomes of these diverse aspects of teaching. The book identifies themes and trends in empirical research on the teaching and learning of whole numbers since the launch of the major journals in mathematics education research in the 1970s. It documents a shift in focus in the teaching of arithmetic from research about teaching written algorithms to teaching arithmetic in ways that result in flexible approaches to calculation. The analysis of studies on quantitative reasoning reveals classifications of problem types that are related to different cognitive demands and rates of success in both additive and multiplicative reasoning. Three different approaches to quantitative reasoning education illustrate current thinking on teaching problem solving: teaching reasoning before arithmetic, schema-based instruction, and the use of pre-designed diagrams. The book also includes a summary of contemporary approaches to the description of the knowledge of numbers and arithmetic that teachers need to be effective teachers of these aspects of mathematics in primary school. The concluding section includes a brief summary of the major themes addressed and the challenges for the future. The new theoretical framework presented offers researchers in mathematics education novel insights into the differences between empirical studies in this domain. At the same time the description of the two meanings of numbers helps teachers distinguish between the different aims of teaching about numbers supported by diverse methods used in primary school. The framework is a valuable tool for comparing the different methods and identifying the various assumptions about teaching and learning.



Teaching And Learning Early Number


Teaching And Learning Early Number
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Author : Thompson, Ian
language : en
Publisher: McGraw-Hill Education (UK)
Release Date : 2008-10-01

Teaching And Learning Early Number written by Thompson, Ian and has been published by McGraw-Hill Education (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-01 with Education categories.


For all trainee and practising early years teachers and classroom assistants, this is an accessible guide to a wide range of research evidence about the teaching and learning of early number.



Writing In The Teaching And Learning Of Mathematics


Writing In The Teaching And Learning Of Mathematics
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Author : John Meier
language : en
Publisher: Cambridge University Press
Release Date : 1998-09-17

Writing In The Teaching And Learning Of Mathematics written by John Meier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-17 with Mathematics categories.


This book examines the hows and whys of writing in mathematics.



Learning To Teach And Teaching To Learn Mathematics


Learning To Teach And Teaching To Learn Mathematics
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Author : Matt Delong
language : en
Publisher: Mathematical Association of America (MAA)
Release Date : 2002

Learning To Teach And Teaching To Learn Mathematics written by Matt Delong and has been published by Mathematical Association of America (MAA) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Business & Economics categories.


Addressing the need for tools to train college mathematics instructors in both basic teaching skills and innovative methods, this work describes training and mentoring activities that have been used in a variety of settings with new instructors, including graduate student teaching assistants, undergraduate tutors, graders, and lab assistants, as well as faculty. The book offers ideas for the structure of an integrated program of professional development, support material for a brief pre-semester orientation session, material for a semester-long program of weekly training meetings, and procedures and forms for conducting a system of class visits and feedback. This work lacks a subject index. DeLong is affiliated with Taylor University. Winter is affiliated with Harvard University. Annotation copyrighted by Book News Inc., Portland, OR.