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Number Sense Routines: Building Mathematical Understanding Every Day in Grades 3-5

Following up her' best-selling book, Number Sense Routines: Building Numerical Literacy Every Day in Grades K-3, Jessica Shumway turns her focus to upper elementary classrooms. Number Sense Routines: Developing Mathematical Understanding Every Day in Grades 3-5 is about tapping into every child' s innate number sense and providing daily, connected experiences that are responsive to children's learning needs. Consistent, Daily Routines Work:' Adaptable to any curriculum, Shumway' s 5, 10, or 15 minute warm-up routines are an easy and effective way to build and solidify students' number sense foundations as a supplement to any program Planning and Facilitating Your Classroom:' No matter how familiar the routine, Shumway provides insight on how to keep daily warm-ups fresh. She reveals careful thinking and planning that goes into each routine and offers detailed vignettes and dialogues of how they unfold in real classrooms Assessment Strategies:' As students engage in the process, each routine becomes an exciting opportunity to gain insight into where they are in their understanding and help students articulate their mathematical thinking Identify Big Ideas: Not only will these math routines help develop students' mathematical understanding as they move towards using standard algorithms, but teachers will learn to better recognize the big ideas that emerge in discussions, how to encourage important strategies based in number sense, and how to facilitate conversations on key mathematical concepts. ' 'These routines may appear in other places, [but] I have never seen them written in such detail and with so many variations.. . .. Although she makes what she does sound easy, we all know that teaching math well is anything but easy. It is challenging and complex. Unpacking what students are saying, helping them make connections not only to the math but to each other's ideas, while simultaneously recording their ideas using mathematical models, visuals, or equations is no easy task. Jessica provides wonderful visuals, examples of student work, and so much more to help educators develop the tools they need to improve their practice and in so doing improve student learning. ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' – From the Foreword by math coach and consultant Lucy West

Number Sense Routines: Building Numerical Literacy Every Day in Grades K-3

In this groundbreaking and highly practical book,Number Sense Routines: Building Numerical Literacy Every Day in Grades K-3, author Jessica Shumway proposes that all children have innate number sense which can be developed through daily exercise. Shumway createda series of math routines designed to help young students strengthen and build their facility with numbers. These quick 5, 10, or 15 minute exercises are easy to implement as an add-on to any elementary math curriculum. Understanding Number Sense: Students with strong number sense understand numbers, how to subitize, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies, and use visual models to solve problems. Number Sense Routines supports the early learner by instilling the importance of daily warm-ups and explains how they benefit developing math minds for long-term learning. Real Classroom Examples: Shumway compiled her classroom observations from around the country. She includes conversations among students who practice number sense routines to illustrate them in action, how children's number sense develops with daily use, and math strategies students learn as they develop their numerical literacy through self-paced practice. Assessment Strategies: Number Sense Routines demonstrates the importance of listening to your students and knowing what to look for. Teachers will gain a deeper understanding of the underlying math skills and strategies students learn as they develop numerical literacy. Shumway writes, As you read, you will step into various classrooms and listen in on students' conversations, which I hope will give you insight into the power of number sense routines and the impact they have on students' number sense development. My hope is that going into the classroom, into students' conversations, and into their thought processes, you will come away with new ideas and tools to use in your own classroom.

Number Theory in Mathematics Education: Perspectives and Prospects (Studies in Mathematical Thinking and Learning Series)

This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics teacher education.Topics variously engaged include:*understanding particular concepts related to numerical structure and number theory;*elaborating on the historical and psychological relevance of number theory in concept development;*attaining a smooth transition and extension from pattern recognition to formative principles;*appreciating the aesthetics of number structure;*exploring its suitability in terms of making connections leading to aha! insights and reaching toward the learner's affective domain;*reexamining previously constructed knowledge from a novel angle;*investigating connections between technique and theory;*utilizing computers and calculators as pedagogical tools; and*generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers.Overall, the chapters of this book highlight number theory-related topics as a stepping-stone from arithmetic toward generalization and algebraic formalism, and as a means for providing intuitively grounded meanings of numbers, variables, functions, and proofs.Number Theory in Mathematics Education: Perspectives and Prospects is of interest to researchers, teacher educators, and students in the field of mathematics education, and is well suited as a text for upper-level mathematics education courses.

Number Theory in Mathematics Education: Perspectives and Prospects (Studies in Mathematical Thinking and Learning Series)

This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics teacher education.Topics variously engaged include:*understanding particular concepts related to numerical structure and number theory;*elaborating on the historical and psychological relevance of number theory in concept development;*attaining a smooth transition and extension from pattern recognition to formative principles;*appreciating the aesthetics of number structure;*exploring its suitability in terms of making connections leading to aha! insights and reaching toward the learner's affective domain;*reexamining previously constructed knowledge from a novel angle;*investigating connections between technique and theory;*utilizing computers and calculators as pedagogical tools; and*generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers.Overall, the chapters of this book highlight number theory-related topics as a stepping-stone from arithmetic toward generalization and algebraic formalism, and as a means for providing intuitively grounded meanings of numbers, variables, functions, and proofs.Number Theory in Mathematics Education: Perspectives and Prospects is of interest to researchers, teacher educators, and students in the field of mathematics education, and is well suited as a text for upper-level mathematics education courses.

Number Theory, Madras 1987: Proceedings of the International Ramanujan Centenary Conference, held at Anna University, Madras, India, December 21, 1987 (Lecture Notes in Mathematics #1395)

Numbers: The Road to Freedom (T&T Clark’s Study Guides to the Old Testament)

Davies outlines the composition and date of Numbers, and the various attempts that have been made to establish a coherent and meaningful structure in its arrangement. Davies also shows how the application of reader-response criticism, feminist criticism and postcolonial criticism have contributed to our understanding of selected passages in the book. Addressing theological issues, Davies considers three themes that occupy much of the content of Numbers, namely; land, purity and holiness, and rebellion. The concluding chapter considers the contentious issue of the historicity of the book of Numbers in the light of recent discussions concerning the historical value of the Old Testament. Davies shows how some of the issues Numbers raises – war, disease, survival, hunger, race relations – are among the perennial problems faced by nations across the centuries and across cultures. While individual passages within Numbers may reflect a questionable sense of morality, Davies demonstrates that the book, when viewed in its totality, encompasses a number of important theological themes which recur throughout the Old Testament: the interplay of forgiveness and judgment, and of sin and punishment, and the need to trust in the power of God rather than human might.

Numbers: The Road to Freedom (T&T Clark’s Study Guides to the Old Testament)

Davies outlines the composition and date of Numbers, and the various attempts that have been made to establish a coherent and meaningful structure in its arrangement. Davies also shows how the application of reader-response criticism, feminist criticism and postcolonial criticism have contributed to our understanding of selected passages in the book. Addressing theological issues, Davies considers three themes that occupy much of the content of Numbers, namely; land, purity and holiness, and rebellion. The concluding chapter considers the contentious issue of the historicity of the book of Numbers in the light of recent discussions concerning the historical value of the Old Testament. Davies shows how some of the issues Numbers raises – war, disease, survival, hunger, race relations – are among the perennial problems faced by nations across the centuries and across cultures. While individual passages within Numbers may reflect a questionable sense of morality, Davies demonstrates that the book, when viewed in its totality, encompasses a number of important theological themes which recur throughout the Old Testament: the interplay of forgiveness and judgment, and of sin and punishment, and the need to trust in the power of God rather than human might.

Numbers 0-20 Age 3-5 Wipe Clean Activity Book: Ideal For Home Learning (Collins Easy Learning Preschool Ser.)

Level: EYFSSubject: MathsIntroduce young learners to numbers with this fun and engaging activity book.Lots of practice opportunities to help children learn the numbers 0-20.Wipe-clean pages and pen so that children can try the activities again and again.Colourful, motivating activities to help boost confidence.

Numbers Ages 3-5 (PDF)

Level: EYFS. Subject: Maths. An engaging Numbers activity book to really help boost your child’s progress at every stage of their learning! Fully in line with the Early Years Foundation Stage, this Maths book provides reassurance whilst supporting your child’s learning at home. Combining useful Maths practice with engaging, colourful illustrations, this Numbers practice book helps to boost your child’s confidence and develop good learning habits for life. Each fun activity is designed to give your child a real sense of achievement.

Numberverse: How numbers are bursting out of everything and just want to have fun (Philosophy Foundation Ser.)

A journey into the world of numbers, which are over our heads, under our feet, and all around us. The Numberverse is especially for people who don't like maths. If you're one of those people who find maths boring, hard, annoying or pointless then The Numberverse is for you to enjoy.

Numeracy Across the Curriculum: Research-based strategies for enhancing teaching and learning

Being numerate involves more than mastering basic mathematics. Numeracy connects the mathematics learned at school with out-of-school situations that require capabilities such as problem solving, critical judgment, and sense-making related to non-mathematical contexts. This book provides prospective and practising teachers with practical, research-based strategies for embedding numeracy across the primary and secondary school curriculum. Based on the authors' ten-year research program, the text explains what numeracy is and how numeracy has developed as an educational goal. It describes in detail the five dimensions of the authors' model: attention to real-life contexts; application of mathematical knowledge; use of physical, representational and digital tools; the promotion of positive dispositions towards the use of mathematics to solve problems encountered in day-to-day life; and a critical orientation to interpreting mathematical results and making evidence-based judgements. There is guidance on how to embed numeracy across all subjects within the curriculum, how to assess numeracy learning and how to deal with challenges and dilemmas including working with discipline boundaries and developing support resources.Featuring practical examples and case studies throughout, this book will build pre-service teacher confidence, demystify common misconceptions and grounds theory into practice in this vital area of student competency.'The authors of this text are recognised authorities on numeracy. They have engaged heavily in numeracy research over many years and this text reflects the depth of their understanding and knowledge.' - Geoff Hilton, University of Queensland

Numeracy Across the Curriculum: Research-based strategies for enhancing teaching and learning

Being numerate involves more than mastering basic mathematics. Numeracy connects the mathematics learned at school with out-of-school situations that require capabilities such as problem solving, critical judgment, and sense-making related to non-mathematical contexts. This book provides prospective and practising teachers with practical, research-based strategies for embedding numeracy across the primary and secondary school curriculum. Based on the authors' ten-year research program, the text explains what numeracy is and how numeracy has developed as an educational goal. It describes in detail the five dimensions of the authors' model: attention to real-life contexts; application of mathematical knowledge; use of physical, representational and digital tools; the promotion of positive dispositions towards the use of mathematics to solve problems encountered in day-to-day life; and a critical orientation to interpreting mathematical results and making evidence-based judgements. There is guidance on how to embed numeracy across all subjects within the curriculum, how to assess numeracy learning and how to deal with challenges and dilemmas including working with discipline boundaries and developing support resources.Featuring practical examples and case studies throughout, this book will build pre-service teacher confidence, demystify common misconceptions and grounds theory into practice in this vital area of student competency.'The authors of this text are recognised authorities on numeracy. They have engaged heavily in numeracy research over many years and this text reflects the depth of their understanding and knowledge.' - Geoff Hilton, University of Queensland

Numeracy and Beyond (UK Higher Education OUP Humanities & Social Sciences Education OUP)

One of the fundamental problems in education is that of applying skills and knowledge which learners have gained in one context to problems they encounter in another. This is particularly so in mathematics, where the problems encountered by learners in applying mathematical knowledge are well documented.Using and applying mathematics has been a central component of the National Curriculum in mathematics. However, the National Numeracy Strategy has adopted a new approach, in which 'using and applying' is integrated throughout the mathematics curriculum. This book aims to help teachers develop their understanding and practice in this crucial area. It is based on the findings of a major research study, funded by the Nuffield Foundation, in which a group of primary teachers worked closely with the research team to develop their thinking and practice. The book provides a clear conceptual analysis of the problem of application, together with extensive examples of ways in which teachers can address it in their classrooms at Key Stages 1 and 2. A novel feature of the book is that it includes first-hand accounts of practice in Japanese classrooms, and outlines what teachers in the UK and elsewhere may learn from Japanese methods.

Numeracy and Learning Difficulties: Approaches to Teaching and Assessment

By understanding why children struggle with maths, teachers are better equipped to provide effective support and nurture confidence in low-achievers. Numeracy and Learning Difficulties includes how to tackle common learning difficulties by following different teaching practices and principles, identifying gaps in students' knowledge and developing curricula that bridges these gaps, improves numerical literacy using problem-solving strategies and skills, and a handy checklist of benchmarks in achievement.

Numeracy and Learning Difficulties: Approaches to Teaching and Assessment (Learning Difficulties Ser.)

By understanding why children struggle with maths, teachers are better equipped to provide effective support and nurture confidence in low-achievers. Numeracy and Learning Difficulties includes how to tackle common learning difficulties by following different teaching practices and principles, identifying gaps in students' knowledge and developing curricula that bridges these gaps, improves numerical literacy using problem-solving strategies and skills, and a handy checklist of benchmarks in achievement.

Numeracy and Mathematics Across the Primary Curriculum: Building Confidence and Understanding

The key to good primary teaching of numeracy and mathematics is confidence in mathematical knowledge and its relevance to the real world. In particular, effective implementation of the National Numeracy Strategy requires student teachers, primary teachers and mathematics coordinators to realize the place of mathematics across the range of National Curriculum subjects. This book explores mathematics as a set of tools for thinking about, designing, evaluating and changing the world of the child through the broader curriculum, rather than focusing on skills and concept building exclusively in the 'mathematical world.' Practical activities are included to stimulate readers to apply these ideas with confidence both within and beyond the mathematics lesson.

Numeracy and Mathematics Across the Primary Curriculum: Building Confidence and Understanding

The key to good primary teaching of numeracy and mathematics is confidence in mathematical knowledge and its relevance to the real world. In particular, effective implementation of the National Numeracy Strategy requires student teachers, primary teachers and mathematics coordinators to realize the place of mathematics across the range of National Curriculum subjects. This book explores mathematics as a set of tools for thinking about, designing, evaluating and changing the world of the child through the broader curriculum, rather than focusing on skills and concept building exclusively in the 'mathematical world.' Practical activities are included to stimulate readers to apply these ideas with confidence both within and beyond the mathematics lesson.

Numeracy as Social Practice: Global and Local Perspectives (Rethinking Development)

Learning takes place both inside and outside of the classroom, embedded in local practices, traditions and interactions. But whereas the importance of social practice is increasingly recognised in literacy education, Numeracy as Social Practice: Global and Local Perspectives is the first book to fully explore these principles in the context of numeracy. The book brings together a wide range of accounts and studies from around the world to build a picture of the challenges and benefits of seeing numeracy as social practice ̶ that is, as mathematical activities embedded in the social, cultural, historical and political contexts in which these activities take place. Drawing on workplace, community and classroom contexts, Numeracy as Social Practice shows how everyday numeracy practices can be used in formal and non-formal maths teaching and how, in turn, classroom teaching can help to validate and strengthen local numeracy practices. At a time when an increasingly transnational approach is taken to education policy making, this book will appeal to development practitioners and researchers, and adult education, mathematics and numeracy teachers, researchers and policy makers around the world.

Numeracy as Social Practice: Global and Local Perspectives (Rethinking Development)

Learning takes place both inside and outside of the classroom, embedded in local practices, traditions and interactions. But whereas the importance of social practice is increasingly recognised in literacy education, Numeracy as Social Practice: Global and Local Perspectives is the first book to fully explore these principles in the context of numeracy. The book brings together a wide range of accounts and studies from around the world to build a picture of the challenges and benefits of seeing numeracy as social practice ̶ that is, as mathematical activities embedded in the social, cultural, historical and political contexts in which these activities take place. Drawing on workplace, community and classroom contexts, Numeracy as Social Practice shows how everyday numeracy practices can be used in formal and non-formal maths teaching and how, in turn, classroom teaching can help to validate and strengthen local numeracy practices. At a time when an increasingly transnational approach is taken to education policy making, this book will appeal to development practitioners and researchers, and adult education, mathematics and numeracy teachers, researchers and policy makers around the world.

Numeracy for All Learners: Teaching Mathematics to Students with Special Needs (Math Recovery)

Numeracy for All Learners is a wide-ranging overview of how Math Recovery® theory, pedagogy, and tools can be applied meaningfully to special education to support learners with a wide range of educational needs. It builds on the first six books in the Math Recovery series and presents knowledge, resources, and examples for teachers working with students with special needs from Pre-K through secondary school. Key topics include: dyscalculia, what contemporary neuroscience tells us about mathematical learning, and differentiating assessment and instruction effectively to meet the needs of all students in an equitable framework.

Numeracy for All Learners: Teaching Mathematics to Students with Special Needs (Math Recovery)

Numeracy for All Learners is a wide-ranging overview of how Math Recovery® theory, pedagogy, and tools can be applied meaningfully to special education to support learners with a wide range of educational needs. It builds on the first six books in the Math Recovery series and presents knowledge, resources, and examples for teachers working with students with special needs from Pre-K through secondary school. Key topics include: dyscalculia, what contemporary neuroscience tells us about mathematical learning, and differentiating assessment and instruction effectively to meet the needs of all students in an equitable framework.

Numeracy for All Learners: Teaching Mathematics to Students with Special Needs (Math Recovery)

Numeracy for All Learners is a wide-ranging overview of how Math Recovery® theory, pedagogy, and tools can be applied meaningfully to special education to support learners with a wide range of educational needs. It builds on the first six books in the Math Recovery series and presents knowledge, resources, and examples for teachers working with students with special needs from Pre-K through secondary school. Key topics include: dyscalculia, what contemporary neuroscience tells us about mathematical learning, and differentiating assessment and instruction effectively to meet the needs of all students in an equitable framework.

Numeracy for Childcare Students: A Basic Skills Guide

First Published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

Numeracy for Childcare Students: A Basic Skills Guide

First Published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

Numeracy for QTLS: Achieving the Minimum Core

By 2010 the Government requires all teaching staff in the Lifelong Learning Sector to gain the QTLS (Qualified Teacher Learning and Skills) teaching qualification. In addition to the new qualification, all those training to teach in the post compulsory/FE sector must also have reached an acceptable skill level in literacy, numeracy and ICT before they qualify, this is referred to as 'the minimum core' and states that literacy skills must be equivalent to a level 3 qualification (A Level standard) and numeracy skills must be equivalent to level 2 (GSCE). This aims to be the first core textbook in the market to support those undertaking initial teacher training in the post-compulsory/learning and skills sector (formerly FE). The text is structured in line with the requirements and specifications of the minimum core and therefore guides students to achieve the minimum core and pass the new national tests in order to achieve their QTLS qualification. This is achieved by developing the student's personal knowledge, skills, and strategies in order to ensure that they support their own students when they start teaching/training themselves. In addition a self-audit of numeracy skills is available online in order to identify areas of personal strengths and weakness.