Developing Number Knowledge

Author: Robert J Wright
Publisher: SAGE
ISBN: 1446253686
Format: PDF, ePub
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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; " an accompanying CD with extensive instructional resources. 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.

Developing Fractions Knowledge

Author: Amy J. Hackenberg
Publisher: SAGE
ISBN: 1473986850
Format: PDF, Mobi
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Supporting and understanding your students’ fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralising 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 Iterating · Stage 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.

The Learning Framework in Number

Author: Robert J Wright
Publisher: SAGE
ISBN: 1526415445
Format: PDF, Mobi
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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 over the first 5-6 years of school.

Teaching Number in the Classroom with 4 8 Year Olds

Author: Robert J Wright
Publisher: SAGE
ISBN: 1473908744
Format: PDF, ePub, Mobi
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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 Visit the companion website at https://study.sagepub.com/wrighttnc "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

Teaching Number

Author: Robert J Wright
Publisher: SAGE
ISBN: 9781446237571
Format: PDF, ePub, Mobi
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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: o a clearly defined purpose o detailed instructions, activities, learning tasks and reinforcing games o lists of responses which children may make o application in whole class, small group and individualised settings o a link to the Learning Framework in Number (see Early Numeracy- second edition, 2005) o 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.

Reading Writing Mathematics and the Developing Brain Listening to Many Voices

Author: Zvia Breznitz
Publisher: Springer Science & Business Media
ISBN: 9400740867
Format: PDF
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This valuable addition to the literature offers readers a comprehensive overview of recent brain imaging research focused on reading, writing and mathematics—a research arena characterized by rapid advances that follow on the heels of fresh developments and techniques in brain imaging itself. With contributions from many of the lead scientists in this field, a number of whom have been responsible for key breakthroughs, the coverage deals with the commonalities of, as well as the differences between, brain activity related to the three core educational topics. At the same time, the volume addresses vital new information on both brain and behavior indicators of developmental problems, and points out the new directions being pursued using current advances in brain imaging technologies as well as research-based interventions. The book is also a tribute to a new Edmund, J Safra Brain center for the study of learning Disabilities at the University of Haifa-Israel.

UML for Developing Knowledge Management Systems

Author: Anthony J. Rhem
Publisher: CRC Press
ISBN: 9780203492451
Format: PDF, Kindle
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UML for Developing Knowledge Management Systems provides knowledge engineers the framework in which to identify types of knowledge and where this knowledge exists in an organization. It also shows ways in which to use a standard recognized notation to capture, or model, knowledge to be used in a knowledge management system (KMS). This volume enables knowledge engineers, systems analysts, designers, developers, and researchers to understand the concept of knowledge modeling with Unified Modeling Language (UML). It offers a guide to quantifying, qualifying, understanding, and modeling knowledge by providing a reusable framework that can be adopted for KMS implementation. Following a brief history of knowledge management, the book discusses knowledge acquisition and the types of knowledge that can be discovered within a domain. It offers an overview of types of models and the concepts behind them. It then reviews UML and how to apply UML to model knowledge. The book concludes by defining and applying the Knowledge Acquisition framework via a real-world case study.

Developing Professional Knowledge and Competence

Author: Michael Eraut
Publisher: Psychology Press
ISBN: 9780750703314
Format: PDF, ePub, Mobi
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This volume analyzes different types of knowledge and know-how used by practising professionals in their work and how these different kinds of knowledge are acquired by a combination of learning from books, learning from people and learning from personal experience.; Drawing on various examples, problems addressed include the way theory changes and is personalized in practice, and how individuals form generalizations out of their practice. Eraut considers the meaning of client-centredness and its implications, and to what extent professional knowledge is based on intuition, understanding and learning. He considers the issue of competence versus knowledge and the effect of lifelong learning on the quality of practice.