Assessing Children S Mathematical Knowledge
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Assessing Children S Mathematical Knowledge
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Author : Cooper, Barry
language : en
Publisher: McGraw-Hill Education (UK)
Release Date : 1999-12-01
Assessing Children S Mathematical Knowledge written by Cooper, Barry 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 1999-12-01 with Education categories.
'this work is highly relevant to the proliferation of accountability measures worldwide' James Scheurich and Douglas Foley In many countries, the lives of teachers and children are increasingly dominated by programmes of national testing of mathematics and other subjects. In England, the majority of the items in such tests have set mathematical tasks in every day situations such as 'shopping'. This requires children to make decisions about whether to use or not their own every day knowledge and experience in their problem-solving. Some children are likely to have a better 'feel for this game' than others. Assessing Children's Mathematical Knowledge draws on the analysis of national curriculum test data from more than 600 children of 10-11 and 13-14 years of age, as well as in-depth interviews with 250 of these as they attempt to solve test problems, in order to explore the nature of the difficulties children experience with 'realistic' items. The book shows, by comparing test and interview data, that many children, as a consequence of their confusion over the requirements of 'realistic' test items, fail in tests to demonstrate mathematical knowledge and understanding that they actually possess. The book also explores whether this problem of invalid measurement is equally spread across children from different social backgrounds, and across the sexes. The book will be of interest to academics and teachers studying for advanced degrees in mathematics education, sociology of education and educational assessment.
Mathematical Knowledge In Teaching
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Author : Tim Rowland
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-06
Mathematical Knowledge In Teaching written by Tim Rowland and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-06 with Education categories.
The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.
Engaging Young Children In Mathematics
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Author : Douglas H. Clements
language : en
Publisher: Routledge
Release Date : 2004
Engaging Young Children In Mathematics written by Douglas H. Clements and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Education categories.
Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's mathematics; federal government officials; mathematicians; mathematics educators; researchers from mathematics education, early childhood education, and psychology; curriculum developers; teachers; policymakers; and professionals from organizations such as the National Conference of Teachers of Mathematics and the National Association for the Education of Young Children. The main goal of the Conference was to work collectively to help those responsible for framing and implementing early childhood mathematics standards. Although it has its roots in the Conference, the expanded scope of the standards and recommendations covered in this book includes the full range of kindergarten to grade 2. The volume is organized into two main parts and an online appendix (http://www.gse.buffalo.edu/org/conference/). Part One, Major Themes and Recommendations, offers a framework for thinking about pre-kindergarten - grade 2 mathematics education and specific recommendations. Part Two, Elaboration of Major Themes and Recommendations, provides substantive detail regarding young students' understandings of mathematical ideas. Each Part includes five parallel subsections: "Standards in Early Childhood Education"; "Math Standards and Guidelines"; "Curriculum, Learning, Teaching, and Assessment"; "Professional Development"; and "Toward the Future: Implementation and Policy." As a whole the book: * presents comprehensive summaries of research that provide specific guidelines for standards, curriculum, and teaching; * takes the recent reports and recommendations for early childhood mathematics education to the next level; * integrates practical details and research throughout; and * provides a succinct, but thorough review of research on the topics, sequences, and learning trajectories that children can and should learn at each of their first years of life, with specific developmental guidelines that suggest appropriate content for each topic for each year from 2-year-olds to 7-year-olds. This is an indispensable volume for mathematics educators, researchers, curriculum developers, teachers and policymakers, including those who create standards, scope and sequences, and curricula for young children and professional teacher development materials, and students in mathematics education, early childhood trainers, teacher educators, and faculty in mathematics education.
Primary Maths Assessment Tool
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Author : Charlotte Wilkinson
language : en
Publisher:
Release Date : 2018
Primary Maths Assessment Tool written by Charlotte Wilkinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
The Primary Maths Assessment Tool is for teachers of Levels 1 to 4 Mathematics in the New Zealand Curriculum. It is designed to assess the intent of the mathematics curriculum by assessing students ability to use mathematics to solve problems. It uses carefully designed and sequenced questions to tease out and record each students level of understanding in maths against the mathematics learning progressions and curriculum levels. The data gathered will assist teachers to group students according to their learning needs and can be used for planning and developing appropriate maths programmes with where next statements and links to learning opportunities in Pearson Mathematics. Complementary to this assessment tool are Level 2, 3 and 4 Wilkie Way Assessment Screens for Mathematical Knowledge and Skills, also with where next information and resource links to Pearson Mathematics and Wilkie Way. Both of these assessment tools are included in beagle, a cloud-based, New Zealand app that transforms your data into powerful insights - driving smarter instruction to raise student achievement. Charlotte Wilkinson is a private education consultant specialising in the teaching and learning of mathematics. She has been a classroom teacher with experience in NZ and the UK across the primary age range from New Entrant to Year 8 as well as a deputy principal, and has also taught teachers at tertiary level. She is an MOE accredited facilitator for in-school professional development. Charlotte has written the Pearson Mathematics series for New Zealand schools and is the coordinator and author for the foundation phase of the One Africa Numeracy Project. She designs and produces numeracy resources under the registered trademark The Wilkie Way.
Mathematics In The Early Years
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Author : Juanita V. Copley
language : en
Publisher:
Release Date : 1999
Mathematics In The Early Years written by Juanita V. Copley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Education categories.
Noting that young children are capable of surprisingly complex forms of mathematical thinking and learning, this book presents a collection of articles depicting children discovering mathematical ideas, teachers fostering students' informal mathematical knowledge, adults asking questions and listening to answers, and researchers examining children's mathematical thinking. The chapters are: (1) "Why Do We Teach Young Children So Little Mathematics? Some Historical Considerations" (Balfanz); (2) "Children's Ways of Knowing: Lessons from Cognitive Development Research" (Sophian); (3) "The Sociology of Day Care" (McDill and Natriello); (4) "Cultural Aspects of Young Children's Mathematics Knowledge" (Guberman); (5) "Ready To Learn: Developing Young Children's Mathematical Powers" (Greenes); (6) "The Development of Informal Counting, Number, and Arithmetic Skills and Concepts" (Baroody and Wilkins); (7) "Geometric and Spatial Thinking in Young Children" (Clements); (8) "Rational-Number Learning in the Early Years: What Is Possible?" (Hunting); (9) "Young Children Doing Mathematics: Observations of Everyday Activities" (Ginsburg, Inoue, and Seo); (10) "Cognitively Guided Instruction in One Kindergarten Classroom" (Warfield and Yttri); (11) "Supporting Students' Ways of Reasoning about Patterns and Partitions" (McClain and Cobb); (12) "The Effective Use of Computers with Young Children" (Clements); (13) "Making Connections: A 'Number Curriculum' for Preschoolers" (Shane); (14) "Within Easy Reach: Using a Shelf-Based Curriculum To Increase the Range of Mathematical Concepts Accessible to Young Children" (Nelson); (15) "Teaching Mathematics through Musical Activities" (Kim); (16) "The Boston University--Chelsea Project" (Greenes); (17) "The Outdoors as a Context for Mathematics in the Early Years" (Basile); (18) "Using Storybooks To Help Young Children Make Sense of Mathematics" (Hong); (19) "Movement, Mathematics, and Learning: Experiences Using a Family Learning Model" (Coates and Franco); (20) "Math in Motion" (Goodway, Rudisill, Hamilton, and Hart); (21) "Assessing the Mathematical Understanding of the Young Child" (Copley); (22) "Improving Opportunities and Access to Mathematics Learning in the Early Years" (Padron); (23) "What To Do When They Don't Speak English: Teaching Mathematics to English-Language Learners in the Early Childhood Classroom" (Weaver and Gaines); (24) "Involving Parents of Four- and Five-Year-Olds in Their Children's Mathematics Education: The FAMILY MATH Experience" (Coates and Thompson); (25) "Perspectives on Mathematics Education and Professional Development through the Eyes of Early Childhood Administrators" (Weber); and (26) "Early Childhood Mathematics in Japan" (Hatano and Inagaki). (Each chapter contains references.) (KB)
Early Numeracy
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Author : Robert J Wright
language : en
Publisher: SAGE
Release Date : 2006-01-05
Early Numeracy 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 2006-01-05 with Education categories.
′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.
Research Trends In Mathematics Teacher Education
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Author : Jane-Jane Lo
language : en
Publisher: Springer
Release Date : 2014-05-28
Research Trends In Mathematics Teacher Education written by Jane-Jane Lo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-28 with Education categories.
Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching. Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers’ learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to student learning) and illustrate how knowledge can be accessed, assessed, and nurtured over the course of a teaching career. Commentaries provide context for current research while identifying areas deserving future study. Included among the topics: Teachers’ curricular knowledge Teachers’ personal and classroom mathematics Teachers’ learning journeys toward reasoning and sense-making Teachers’ transitions in noticing Teachers’ uses of a learning trajectory as a tool for mathematics lesson planning A unique and timely set of perspectives on the professional development of mathematics teachers at all stages of their careers, Research Trends in Mathematics Teacher Education brings clarity and practical advice to researchers as well as practitioners in this increasingly critical arena.
Ebook Assessing Children S Mathematical Knowledge
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Author : Barry Cooper
language : en
Publisher: McGraw-Hill Education (UK)
Release Date : 1999-12-16
Ebook Assessing Children S Mathematical Knowledge written by Barry Cooper 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 1999-12-16 with Education categories.
'this work is highly relevant to the proliferation of accountability measures worldwide' James Scheurich and Douglas Foley In many countries, the lives of teachers and children are increasingly dominated by programmes of national testing of mathematics and other subjects. In England, the majority of the items in such tests have set mathematical tasks in every day situations such as 'shopping'. This requires children to make decisions about whether to use or not their own every day knowledge and experience in their problem-solving. Some children are likely to have a better 'feel for this game' than others. Assessing Children's Mathematical Knowledge draws on the analysis of national curriculum test data from more than 600 children of 10-11 and 13-14 years of age, as well as in-depth interviews with 250 of these as they attempt to solve test problems, in order to explore the nature of the difficulties children experience with 'realistic' items. The book shows, by comparing test and interview data, that many children, as a consequence of their confusion over the requirements of 'realistic' test items, fail in tests to demonstrate mathematical knowledge and understanding that they actually possess. The book also explores whether this problem of invalid measurement is equally spread across children from different social backgrounds, and across the sexes. The book will be of interest to academics and teachers studying for advanced degrees in mathematics education, sociology of education and educational assessment.
Children S Reading And Mathematics Achievement In Kindergarten And First Grade
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Author : Kristin Denton
language : en
Publisher: DIANE Publishing
Release Date : 2002
Children S Reading And Mathematics Achievement In Kindergarten And First Grade written by Kristin Denton and has been published by DIANE Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This report is the third in a series based on findings about young children's early experiences with school from the Early Childhood Longitudinal Study, Kindergarten Class of 1998-99 (ECLS-K). Sponsored by the U.S. Department of Education, National Center for Education Statistics, the ECLS-K study selected a nationally representative sample of kindergartners in the fall of 1998 and is following these children through the spring of their fifth-grade year. The study collects information directly from the children, their families, teachers, and schools. This report looks at children's school performance during first grade in terms of their reading and mathematical knowledge and skills by relating them to child, family, and school characteristics. The report finds that some of the differences in children's reading and mathematics knowledge and skills by child, family, and school characteristics that are present as they enter kindergarten persist into the spring of their kindergarten and spring of their first-grade year. For example, poor children consistently score below the national average in both reading and mathematics across the kindergarten year and into the spring of first grade. These findings also suggest differences that are beginning to emerge by children's sex. By spring of first grade, females are more likely to be reading (understanding words in context), whereas, males are more likely be proficient at advanced mathematics (multiplication and division). However, some differences do seem to wane. For example, in both reading and mathematics, Hispanic children's scores tend to move upward toward the national mean over these two school years. The longitudinal nature of the ECLS-K will enable researchers to track these differences in terms of children's third- and fifth-grade reading and mathematics performance. The report also notes that children who bring certain knowledge and skills with them to kindergarten are likely to be at an advantage in classroom learning compared to peers who do not possess such resources. The descriptive analyses of the report show that children who have specific cognitive knowledge and skills, are read to frequently, possess positive approaches to learning, and enjoy very good or excellent general health, perform better in reading and mathematics than those without these resources. (Includes data and standard error tables. Appended is a table of regression coefficients for the relationship between children's resources and skills to their spring kindergarten and spring first-grade reading performance. Contains 18 references.) (HTH)
Developing Number Knowledge
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Author : Robert J Wright
language : en
Publisher: SAGE
Release Date : 2011-11-04
Developing Number Knowledge 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 2011-11-04 with Education categories.
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.