Teaching Number in the Classroom with 4-8 year olds

Author: Robert J Wright
Publisher: SAGE
ISBN: 1446203832
Category : Education
Languages : en
Pages : 225

Book Description
`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 Sense, Grade 1

Author: Chris Confer
Publisher: Math Solutions
ISBN: 0941355594
Category : Education
Languages : en
Pages : 158

Book Description
The teaching number sense series focuses on the critical role that number sense plays in students' developing mathematical understanding. Number sense encompasses a wide range of abilities, including being able to make reasonable estimates and to think and reason flexibly.

Teaching Number

Author: Robert J Wright
Publisher: SAGE
ISBN: 1446204243
Category : Education
Languages : en
Pages : 265

Book Description
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.

Developing Number Knowledge

Author: Robert J Wright
Publisher: SAGE
ISBN: 1446253686
Category : Education
Languages : en
Pages : 313

Book Description
Following the great success of the earlier books, this fourth book in the Mathematics Recovery series equips teachers with detailed pedagogical knowledge and resources for teaching number to 7 to 11-year olds. Drawing on extensive programs of research, curriculum development, and teacher development, the book offers a coherent, up-to-date approach emphasising computational fluency and the progressive development of students′ mathematical sophistication. The book is organized in key domains of number instruction, including structuring numbers 1 to 20, knowledge of number words and numerals, conceptual place value, mental computation, written computation methods, fractions, and early algebraic reasoning. Features include: fine-grained progressions of instruction within each domain; detailed descriptions of students′ strategies and difficulties; assessment tasks with notes on students′ responses; classroom-ready instructional activities; This book is designed for classroom and intervention teachers, special education teachers and classroom assistants. The book is an invaluable resource for mathematics advisors and coaches, learning support staff, numeracy consultants, curriculum developers, teacher educators and researchers.

Number Sense Routines

Author: Jessica F. Shumway
Publisher: Stenhouse Publishers
ISBN: 1571107908
Category : Education
Languages : en
Pages : 194

Book Description
Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.

Number Talks

Author: Sherry Parrish
Publisher: Math Solutions
ISBN: 1935099116
Category : Education
Languages : en
Pages : 434

Book Description
"A multimedia professional learning resource"--Cover.

Developing Essential Understanding of Number and Numeration for Teaching Mathematics in Prekindergarten--grade 2

Author: Barbara J. Dougherty
Publisher:
ISBN: 9780873536295
Category : Number concept
Languages : en
Pages : 60

Book Description
How do composing and decomposing numbers connect with the properties of addition? Focus on the ideas that you need to thoroughly understand in order to teach with confidence. The mathematical content of this book focuses on essential knowledge for teachers about numbers and number systems. It is organised around one big idea and supported by smaller, more specific, interconnected ideas (essential understandings). Gaining this understanding is essential because numbers and numeration are building blocks for other mathematical concepts and for thinking quantitatively about the real-world. Essential Understanding series topics include: Number and Numeration for Grades Pre-K-2 Addition and Subtraction for Grades Pre-K-2 Geometry for Grades Pre-K-2 Reasoning and Proof for Grades Pre-K-8 Multiplication and Division for Grades 3-5 Rational Numbers for Grades 3-5 Algebraic Ideas and Readiness for Grades 3-5 Geometric Shapes and Solids for Grades 3-5 Ratio, Proportion and Proportionality for Grades 6-8 Expressions and Equations for Grades 6-8 Measurement for Grades 6-8 Data Analysis and Statistics for Grades 6-8 Function for Grades 9-12 Geometric Relationships for Grades 9-12 Reasoning and Proof for Grades 9-12 Statistics for Grades 9-12

Teaching Number Sense

Author: Julia Anghileri
Publisher: A&C Black
ISBN: 0826448194
Category : Education
Languages : en
Pages : 167

Book Description
A specialist text that uses a balance of theory and practice to help teachers deal with the problems and issues they will encounter in teaching mathematics. It includes examples for use in the classroom, and addresses the issue of how to teach most effectively in light of curriculum changes.

The Learning and Teaching of Number

Author: Rina Zazkis
Publisher: Routledge
ISBN: 0429757956
Category : Education
Languages : en
Pages : 0

Book Description
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.

Early Numeracy

Author: Robert J Wright
Publisher: SAGE
ISBN: 1446227146
Category : Education
Languages : en
Pages : 226

Book Description
′Unlike many books based on research work this book doesn′t just let teachers know what is going wrong with children′s learning it actually gives some practical advice about what to do next. The whole book is based upon extensive observation and recording of individual children and their difficulties with mathematics. These children are the most difficult to plan for in a busy classroom and the authors appreciate the small steps and the different learning styles approaches needed for these children. This approach fits well with the NNS wave and springboard materials but takes the analysis of the individual′s difficulties to a more detailed level. The book brings together research carried out across a range of countries and therefore shows the versatility of the approaches taken. This will be a very useful book for trainee teachers as it exemplifies how to use assessment to feed into teaching. It will be helpful for class teachers and mathematics co-ordinators as well as SENCOs to assist in improving the teaching and learning for specific children in our schools′ - Mary Briggs, Primary and Early Years PGCE Co-ordinator, Institute of Education, University of Warwick ′This is a highly practical resource that will be appreciated by classroom and specialist teachers alike. It will provide teachers new to the Math Recovery program with practical help and support to diagnose errors and misconceptions in early numeracy. Practicing Math Recovery Specialists will be thrilled with the addition of four new highly focused assessments and an elaboration of the Learning Framework in Number. Early Numeracy is admirably grounded in international research and well-established theory, characteristics that are much sought after in the current data driven educational environment. Like many others, I was drawn to Math Recovery after reading the first edition of Early Numeracy. This second edition is a treasure - it is exciting to consider the impact it will have on children and teachers, and to the growth of the Math Recovery program′ - Audrey Murray, Lead Teacher, Midwest Math Recovery Training Center, Minneapolis This text has been fully updated to include developments and refinements brought about by widespread international application of the assessment tools in the Mathematics Recovery Programme. The book will help practitioners to identify and provide detailed analyses of all children but especially those who are able and those who underachieve in early numeracy. It will enable teachers, learning support personnel, numeracy consultants and educational psychologists to advise colleagues and parents on children′s number knowledge and strategies for early numeracy. The Mathematics Recovery Programme has been successfully applied in Australia, the United Kingdom and Ireland, the United States and Canada, both in specialist interventions and classroom settings. The revised version shows how familiarisation with, and understanding of, the diagnostic assessment tools has allowed teachers to become more knowledgeable in understanding children′s difficulties and misconceptions, and more skilled and confident in planning programmes of intervention and monitoring the children′s progress. This new edition includes: - Integrated frameworks of useful tasks for assessing children′s number knowledge and strategies; - Four separate and revised diagnostic assessment interviews; - Assessments for addition and subtraction strategies, Base Ten Arithmetical strategies, Early Grouping strategies, and Advanced Grouping strategies in the four operations; - How the assessment process has impacted significantly on teachers′ professional development and contributed to the raising of standards in early numeracy.