The Learning And Teaching Of Number
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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.
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.
Teaching Number
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Author : Robert J Wright
language : en
Publisher: SAGE
Release Date : 2006-08-30
Teaching Number 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 2006-08-30 with Education categories.
The book lets teachers identify where their students are in terms of number skills, and sets out a strategy for developing their knowledge. The authors show how to advance children′s learning across five stages of early arithmetical learning - emergent, perceptual, figurative, initial number, and facile number. This provides for increasingly sophisticated number strategies across addition, subtraction, multiplication and division, as well as developing children′s number word and numeral knowledge, and their ability to structure number and have grouping strategies. The approach used nine guiding principles for teaching. Each chapter has clearly defined teaching procedures which show how to take the children onto the next more sophisticated stage. The teaching procedures are organized into key teaching topics, and each includes: a clearly defined purpose detailed instructions, activities, learning tasks and reinforcing games lists of responses which children may make application in whole class, small group and individualised settings a link to the Learning Framework in Number (see Early Numeracy- second edition, 2005) how the guiding principles for teaching can be used to allow teachers to evaluate and reflect upon their practice Primary practitioners in Australia, the United States, the United Kingdom and Canada have tested the teaching procedures which can be used in conjunction with each country′s numeracy strategy. Primary teachers, especially of the early years, mathematics co-ordinators, heads of school, mathematics advisers, special educationalists, learning support personnel, teacher assistants, lecturers in initial teacher training and educational psychologists will all find this book invaluable.
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
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Author :
language : en
Publisher:
Release Date : 1999
Learning To Teach Number written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
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.
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 Number In The Classroom With 4 8 Year Olds
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Author : Ann K Stafford
language : en
Publisher: SAGE
Release Date : 2006-01-05
Teaching Number In The Classroom With 4 8 Year Olds 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 2006-01-05 with Education categories.
This user-friendly resource presents an inquiry-based approach to classroom instruction and covers beginning number and early counting strategies as well as multi-digit addition, subtraction, multiplication, and division.
Making Sense Of Number K 10
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Author : Mary Fiore
language : en
Publisher: Pembroke Publishers Limited
Release Date : 2018-11-27
Making Sense Of Number K 10 written by Mary Fiore and has been published by Pembroke Publishers Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-27 with Education categories.
This practical book shows you how to get to know the needs and abilities of your students and help them make sense of math concepts. Designed to enhance your professional learning, the book shows you how to notice, interpret, confirm, and respond to student thinking. You will discover how to structure learning experiences around key number concepts — quantity, counting, relating, and representing — developed across various strands: patterning and algebra, numbers and operations, measurement, geometry, and data and probability. Powerful examples of questions and prompts guide you to create a classroom where students get the support they need as they develop confidence in their number sense.
Teaching And Learning About Whole Numbers In Primary School
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Author : Pi-Jen Lin
language : en
Publisher:
Release Date : 2020-10-08
Teaching And Learning About Whole Numbers In Primary School written by Pi-Jen Lin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-08 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. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.