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This practical guide for teaching numeracy to children with a developmental disability is based on core concepts from the landmark Mathematics Recovery® text Teaching Number (aka ‘the green book') that have been adapted for children with developmental disabilities. It sets out key principles of teaching and learning underpinning an evidence-based teaching approach and provides clear guidance on how educators can plan and implement a structured teaching program so that every child can be given a positive experience in learning numeracy and achieve significant outcomes, maximizing their potential. The book is supported by a comprehensive set of online resources for use in the classroom, including 90+ lesson plans carefully tailored to provide sequenced learning experiences for children and school students who may need them most...

This latest book in the bestselling Mathematics Recovery® series gives mathematics educators a complete research-based framework for assessment, instruction and intervention in whole number arithmetic across grades K to 5. The integrated set of classroom tools includes: Nine carefully designed schedules of assessment tasks Nine models of learning progressions Ten teaching maps that guide the instructional progressions across key topics The book offers guidance on innovative video-based assessment, and an overview of principles of intervention instruction, giving you an integrated resource for supporting the children you teach. The Learning Framework in Number will be a useful guide for all primary and elementary school classroom teachers and assistants, and specialist teachers, including experienced Mathematics Recovery® instructors. The book will also be of significant interest to teacher educators and researchers.

Supporting and understanding your students'fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralizing around three key stages of development, this effective guide will help you to assess your students'understanding of fractions and modify your teaching accordingly. These key stages are identified as: Stage 1a: Fair Sharing Stage 1b: Part-Whole Stage 2a: Disembedding and IteratingStage 2b: Measuring with Unit Fractions Stage 2c: Reversing Fractions Stage 3a: Fractions as Numbers Stage 3b: Operating with Fractions As the newest addition to the bestselling Maths Recovery Series, this book will be a useful guide for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors.

Bring the principles and practice of the acclaimed Mathematics Recovery Programme to whole-class teaching! WHY INVEST IN THE NEW EDITION? In full-colour with a revised layout for clearer navigation More up-to-date tasks, activities and real classroom examples Learning trajectories for guiding instruction and tracking progress on key topics Extra resources online on the companion website Part of the best-selling Maths Recovery series, this practical, step-by-step guide to classroom instruction takes an inquiry-based approach to assess children′s knowledge and build on this to develop a firm foundation of understanding and confidence in mathematics. Topics covered range from beginning number and early counting strategies to multi-digit addition and subtraction right through to multiplication and division. An invaluable resource for use on pre-service teacher training courses and for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors, as well as learning support personnel, primary mathematics advisors, numeracy consultants and educational psychologists. WHAT EXTRAS ARE ON THE COMPANION WEBSITE? Downloadable extra chapter resources like print-out grids, worksheets, cards and much more A Facilitator's Guide that can be used either individually or in group study to help you get the most out of the material In-class video demonstrations to clearly show how the instructional activities in the book are used in the classroom Webinar discussing the key points in the book and how it supports your teaching'Research informs practice in this easy to access resource. Each chapter gives educators practical, bite-sized assessments, linked to a host of activities that helps them target teaching and develop the firm foundations which are so vital for confident and competent mathematicians.'- Jill Piotrowski, Numeracy Consultant, Wigan Local Authority, UK'′The Classroom Instructional Framework in Early Number is research-based and provides a roadmap of not only the what, but the when and the how to teach all aspects of early number.'- Vicki Nally, Mathematics Consultant at Catholic Education Office, Melbourne'The structured approach offers a wealth of rich and easily implemented classroom-based activities that work - thousands of teachers in Ireland attest to this!'- Noreen O′Loughlin, Director Maths Recovery and Maths Education Lecturer, Mary Immaculate College, Limerick, Ireland

This text provides a rich, culturally sensitive presentation of current research techniques in counseling. Author Robert J. Wright introduces the theory and research involved in research design, measurement, and assessment with an appealingly clear writing style. He addresses ways to meet the requirements of providing the data needed to facilitate evidence-based therapy and interventions with clients, and also explains methods for the evaluation of counseling programs and practices. This comprehensive resource covers a broad range of research methods topics including qualitative research, action research, quantitative research including, sampling and probability, and probability-based hypothesis testing. Coverage of both action research and mixed methods research designs are also included.

Soil acidity is a major limitation to crop production in many parts of the world. Plant growth inhibition results from a combination of factors, including aluminum, manganese, and hydrogen ion toxicities and deficiencies of essential elements, particularly calcium, magnesium, phosphorus, and molybdenum. Agricultural management practices and acid precipitation have increased acid inputs into the ecosystem and heightened concern about soil acidity problems. While application of lime has proved to be effective in ameliorating surface soil acidity in many areas, significant soil acidity problems still exist. Scientists from Alberta, Canada, recognized the need to provide a forum for researchers from different disciplines to exchange information and ideas on solving problems of plant growth in acid soils. As a result of their efforts, the First International Symposium on Plant-Soil Interactions at Low pH was held at Grande Prairie, Alberta, Canada, in July 1987. In many acid soil areas, liming materials are not readily available, the cost may be prohibitive, or subsoil acidity cannot be corrected by surface application of lime. New management approaches involving both the plant and the soil are needed in these situations. Progress has been made in the selection and breeding of acid-tolerant plants. However, continued progress will be limited by our lack of understanding of the physiological and biochemical basis of differential acidity tolerance among plants.

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.

A practical guide that helps readers meet the challenges they′ll face as professional school counselors This comprehensive graduate-level text prepares readers to handle the problems and responsibilities they′ll face as professional school counselors, preschool through high school. It covers a wide range of topics in-depth, including: effective interventions for racism and bullying, the continuing score gap between ethnic groups, a school counselor′s leadership role in implementing school-based action research, a model for advocating on behalf of, and providing services to children with disabilities. The book is packed with real life examples and case descriptions: it provides strategies for preventing and responding to social and emotional problems, improving educational outcomes, and helping children score at optimum levels on high-stakes tests.

An engaging examination of current issues and practices involved in assessing young children A highly readable integration of the latest assessment practices and policies, this text includes valuable information regarding young children with special needs and English language learners—topics that are insufficiently addressed in other assessment texts. Focusing on practical applications of key concepts, Multifaceted Assessment for Early Childhood Education provides a knowledge base of what every early childhood teacher should know about assessing young children. Key Features Comprehensive coverage examines the full range of assessments, including formative, summative, authentic, and standardized. Cases in Point provide practical implications and examples from real life. Objectives for Learning alert students as to central concepts and provide guidance for reading and studying. Discussion Questions encourage analysis and class discussions, promoting higher order thinking on the topics. Ancillaries Password-protected instructor resources, available, feature PowerPoint slides, a test bank, Internet resources, and additional activities.

′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.

Grounded in the real world of public schools and students, this engaging, insightful, and highly readable text introduces the inner-workings of K–12 educational assessment. There has never been a time when it is more important for educators to have an understanding of testing and assessments. Accountability is now a fact of life for all public school educators, and testing is at the core of all educational assessment programs. It is no longer prudent or even possible for educators to ignore this national zeitgeist. Educational Assessment: Tests and Measurements in the Age of Accountability addresses all of the constructs central to understanding the design, construction and evaluation of educational measures. It goes on to provide students with insight into the link between today′s high-stakes testing mandates and the traditions of the past 125 years of'scientific'measurement in the United States. It addresses the problem of understanding and correctly interpreting test scores on local, statewide, national, and international assessments. It also addresses how certain issues such as institutionalized cheating, test preparation, and individual differences among students and their families influence test score outcomes. Key Features Covers traditional topics in an approachable and understandable way: Reliability, validity, performance assessments, standardized achievement tests, and many more topics are included. Analyzes and interprets'hot-button'issues of today′s complex measurement concerns: The score-gap, high-stakes testing, grade retention, drop-out crises,'academic redshirting,', diversity, family influence, and educational technology, are examined. Relates theory to practice: Each chapter includes relevant real-life examples and case studies to demonstrate how the technical-measurement principles impact those involved. Addresses the needs of diverse students: Issues related to students with special needs and the testing of English Language Learners are discussed. Intended Audience: Educational Assessment: Tests and Measurements in the Age of Accountability has been written to meet the needs of students in graduate programs of special education, reading, school counseling, school social work, curriculum supervision, or administration. Providing grounding in all aspects of measurement, this book is perfect for undergraduate and graduate courses such as Educational Tests and Measurements, Assessment in Education, and Student Assessment.

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.