EBOOK: Assessing Children's Mathematical Knowledge

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Publisher : McGraw-Hill Education (UK)
ISBN 13 : 0335231179
Total Pages : 236 pages
Book Rating : 4.3/5 (352 download)

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Book Synopsis EBOOK: Assessing Children's Mathematical Knowledge by : Barry Cooper

Download or read book EBOOK: Assessing Children's Mathematical Knowledge written by Barry Cooper and published by McGraw-Hill Education (UK). This book was released on 1999-12-16 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: '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.

The Young Child and Mathematics, Third Edition

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Publisher :
ISBN 13 : 9781938113932
Total Pages : 128 pages
Book Rating : 4.1/5 (139 download)

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Book Synopsis The Young Child and Mathematics, Third Edition by : Angela Chan Turrou

Download or read book The Young Child and Mathematics, Third Edition written by Angela Chan Turrou and published by . This book was released on 2021-10 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tap into the Power of Child-Led Math Teaching and Learning Everything a child does has mathematical value--these words are at the heart of this completely revised and updated third edition of The Young Child and Mathematics. Grounded in current research, this classic book focuses on how teachers working with children ages 3 to 6 can find and build on the math inherent in children's ideas in ways that are playful and intentional. This resource - Illustrates through detailed vignettes how math concepts can be explored in planned learning experiences as well as informal spaces - Highlights in-the-moment instructional decision-making and child-teacher interactions that meaningfully and dynamically support children in making math connections - Provides an overview of what children know about counting and operations, spatial relations, measurement and data, and patterns and algebra - Offers examples of informal documentation and assessment approaches that are embedded within classroom practice Deepen your understanding of how math is an integral part of your classroom all day, every day. Includes online video!

Investigations into Assessment in Mathematics Education

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Publisher : Springer Science & Business Media
ISBN 13 : 9401719748
Total Pages : 286 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Investigations into Assessment in Mathematics Education by : M. Niss

Download or read book Investigations into Assessment in Mathematics Education written by M. Niss and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is one of the first to attempt a systematic in-depth analysis of assessment in mathematics education in most of its important aspects: it deals with assessment in mathematics education from historical, psychological, sociological, epistmological, ideological, and political perspectives. The book is based on work presented at an invited international ICMI seminar and includes chapters by a team of outstanding and prominent scholars in the field of mathematics education. Based on the observation of an increasing mismatch between the goals and accomplishments of mathematics education and prevalent assessment modes, the book assesses assessment in mathematics education and its effects. In so doing it pays particular attention to the need for and possibilities of assessing a much wider range of abilities than before, including understanding, problem solving and posing, modelling, and creativity. The book will be of particular interest to mathematics educators who are concerned with the role of assessment in mathematics education, especially as regards innovation, and to everybody working within the field of mathematics education and related areas: in R&D, curriculum planning, assessment institutions and agencies, teacher trainers, etc.

Helping Children Learn Mathematics

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Publisher : National Academies Press
ISBN 13 : 0309131987
Total Pages : 53 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Helping Children Learn Mathematics by : National Research Council

Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Uncovering Student Thinking in Mathematics, Grades K-5

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Publisher : Corwin Press
ISBN 13 : 1452223866
Total Pages : 233 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Uncovering Student Thinking in Mathematics, Grades K-5 by : Cheryl Rose Tobey

Download or read book Uncovering Student Thinking in Mathematics, Grades K-5 written by Cheryl Rose Tobey and published by Corwin Press. This book was released on 2010-10-04 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides 25 easily administered assessments of learners' math knowledge that help teachers monitor learning in real time and improve all students' math skills.

EBOOK: Raising Achievement in Secondary Mathematics

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Publisher : McGraw-Hill Education (UK)
ISBN 13 : 0335228348
Total Pages : 203 pages
Book Rating : 4.3/5 (352 download)

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Book Synopsis EBOOK: Raising Achievement in Secondary Mathematics by : Anne Watson

Download or read book EBOOK: Raising Achievement in Secondary Mathematics written by Anne Watson and published by McGraw-Hill Education (UK). This book was released on 2006-06-16 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together research and professional knowledge to enhance the teaching of lower attaining students in secondary mathematics. Attainment in mathematics is an important social issue, since underachievement can make a difference to future life choices, particularly amongst certain groups of students. Raising Achievement in Secondary Mathematics shows how well-meant teaching strategies and approaches can in practice exacerbate underachievement in maths by making inappropriate demands on learners. As well as criticizing some of the teaching and grouping practices that are considered normal in many schools, the book also offers an alternative view of attainment and capability, based on real classroom incidents in which ‘low attaining students’ show themselves to be able to think about mathematics in quite sophisticated ways. The author argues that teaching could be based on learners’ proficiency, rather than on correcting deficits in knowledge and behaviour. She describes how a group of teachers who believed that their students could do better with higher expectations developed a range of principles and strategies to support their work – the students showed significant progress and the teachers felt they were doing a better job. With numerous case studies, ideas and teaching strategies, this book is for anyone who is teaching, or learning to teach, mathematics.

EBOOK: Promoting Children's Learning from Birth to Five

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Publisher : McGraw-Hill Education (UK)
ISBN 13 : 0335224040
Total Pages : 208 pages
Book Rating : 4.3/5 (352 download)

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Book Synopsis EBOOK: Promoting Children's Learning from Birth to Five by : Angela Anning

Download or read book EBOOK: Promoting Children's Learning from Birth to Five written by Angela Anning and published by McGraw-Hill Education (UK). This book was released on 2006-03-16 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviews of the first edition “At a time of constant and rapid change in education, this book will inform and reassure early childhood professionals.” Practical Pre-School “Besides advice on the most helpful ways to develop learning in areas such as maths and literacy, there are suggestions and comments about further reading at the end of each chapter, and examples of the thoughts and responses of real children are never far from the page.” TES “Innovative, resourceful and thoroughly researched… a challenge to existing and emerging early childhood professionals.” Contemporary Issues in Early Childhood Promoting Children's Learning from Birth to Five supports early years professionals as they develop new practices to promote young children’s learning. This second edition fully reflects the enormous changes in early childhood education and care since the publication of the first edition. Retaining its successful focus on literacy and mathematical development as key exemplars of promoting young children's learning, the book considers new ways of working with parents, promoting inter-professional collaboration, and achieving sustainable, systematic change in children's services. The second edition: Draws on current research in early literacy and mathematical thinking Focuses on multiprofessional practice, showing how practitioners who work from evidence across professional boundaries are able to give strong, interactive and sensitive support to young children and their parents Takes into account policies and practices such as Every Child Matters, the Primary Strategy and Children's Centres Includes updated material on aspects of leadership, and on the role of the Senior Practitioner in developing innovative services for children and their families Explores the importance of personal, social and emotional development in the curriculum for under-fives Working from the basis that children learn most readily in contexts where parents and professionals are keen to learn, the authors help early childhood professionals to meet the challenges of reshaping children's services. This is key reading for all early childhood professionals and students.

Visible Learning for Mathematics, Grades K-12

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Publisher : Corwin Press
ISBN 13 : 1506362958
Total Pages : 209 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Visible Learning for Mathematics, Grades K-12 by : John Hattie

Download or read book Visible Learning for Mathematics, Grades K-12 written by John Hattie and published by Corwin Press. This book was released on 2016-09-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

Children's Mathematics

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Publisher : Heinemann Educational Books
ISBN 13 : 9780325052878
Total Pages : 0 pages
Book Rating : 4.0/5 (528 download)

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Book Synopsis Children's Mathematics by : Thomas P. Carpenter

Download or read book Children's Mathematics written by Thomas P. Carpenter and published by Heinemann Educational Books. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.

Mathematics Content for Elementary Teachers

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Publisher : Routledge
ISBN 13 : 1135633797
Total Pages : 525 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Mathematics Content for Elementary Teachers by : Douglas K. Brumbaugh

Download or read book Mathematics Content for Elementary Teachers written by Douglas K. Brumbaugh and published by Routledge. This book was released on 2004-09-22 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE book for elementary education mathematics content courses! Designed to help prospective teachers of elementary school mathematics learn content beyond the rote level, this text stimulates readers to think beyond just getting the problem right and fosters their development into thoughtful, reflective, self-motivated, life-long learners. It stresses the what and why of elementary school mathematics content. Hints are provided about how to teach the content but this is mostly left to courses and texts that are dedicated to that purpose. The text is organized around the National Council for Teachers of Mathematics' Principles and Standards for School Mathematics. The Standards dictate the basic sections of the text. Within each section, appropriate specific topics are developed, intertwined with technology, problem solving, assessment, equity issues, planning, teaching skills, use of manipulatives, sequencing, and much more. In addition, major focal points of the Standards are emphasized throughout: effective teachers of mathematics should be able to motivate all students to learn, should understand the developmental levels of how children learn, should concentrate on what children need to become active participants in the learning environment, and should be engaged in ongoing investigations of new mathematical concepts and teaching strategies. Mathematics Content for Elementary Teachers is based on several fundamental premises: *The focus of mathematics education should be on the process, not the answer. *Elementary teachers should know the mathematics content they are teaching, know more than the content they are teaching, and teach from the overflow of knowledge. *It is important for teachers to be flexible in allowing students to use different procedures--teaching from the "overflow of knowledge" implies knowing how to do a given operation more than one way and being willing to examine many different ways. *Teachers need to learn to carefully cover the topics to be taught, to reflect upon them, and to be able to organize them. To help prospective elementary teachers concentrate on the mathematics content they will be expected to teach and begin to build the foundation for the methods they will use, this text includes only elementary mathematics content and does not address middle school concepts. Pedagogical features: *The text is organized according to NCTM Standards. *An informal writing style speaks directly to readers and is geared to pre-service teachers. *Focus is given to multiple methods of problem solving at four developmental levels. *Questions, exercises, and activities are interspersed throughout each section rather than gathered at the end of each chapter. *Complete solutions for exercises are provided.

Assessing Mathematical Proficiency

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Publisher : Cambridge University Press
ISBN 13 : 9780521697668
Total Pages : 412 pages
Book Rating : 4.6/5 (976 download)

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Book Synopsis Assessing Mathematical Proficiency by : Alan H. Schoenfeld

Download or read book Assessing Mathematical Proficiency written by Alan H. Schoenfeld and published by Cambridge University Press. This book was released on 2007-05-21 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Testing matters! It can determine kids' and schools' futures. In a conference at the Mathematical Sciences Research Institute, mathematicians, math education researchers, teachers, test developers, and policymakers gathered to work through critical issues related to mathematics assessment. This volume presents the results of the discussions. It highlights the kinds of information that different assessments can offer, including many examples of some of the best mathematics assessments worldwide. A special feature is an interview with a student about his knowledge of fractions and a demonstration of what interviews (versus standardized tests) can reveal.

Mathematics in the Primary School

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Publisher : Routledge
ISBN 13 : 1317796705
Total Pages : 190 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis Mathematics in the Primary School by : Sandy Pepperell

Download or read book Mathematics in the Primary School written by Sandy Pepperell and published by Routledge. This book was released on 2014-03-18 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its third edition, Mathematics in the Primary School has been updated to reflect recent mathematics curriculum documentation and revised standards for QTS. Key areas include: The role of talk in learning maths Teacher questioning Development of children’s reasoning Creative engagement with maths Assessment for learning and self assessment Suggested resources for teachers including ICT Providing a coherent set of principles for teaching primary mathematics across the main topics in the curriculum, the authors explore children’s understanding of key areas of mathematics, at reception, infant and junior levels. Important principles and teaching approaches are identified, including the use of calculators and computers, and there is an emphasis on mental mathematics and problem solving supporting key issues raised by the Williams review (2008). Case studies are used throughout to illustrate how different teaching approaches are put into practice and how children respond to them, and there is advice on planning, organisation and assessment of mathematical learning in the classroom. Emphasising the importance of teachers’ own mathematical knowledge and offering clear guidance and practical advice, this book is essential reading for students, NQTs and practising teachers with a focus on primary mathematics.

Writing Mathematically

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Publisher : Routledge
ISBN 13 : 113570953X
Total Pages : 252 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis Writing Mathematically by : Candia Morgan

Download or read book Writing Mathematically written by Candia Morgan and published by Routledge. This book was released on 2002-01-04 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: School mathematics curricula internationally tend to emphasise problem-solving and have led to the development of opportunities for children to do maths in a more open, creative way. This has led to increased interest in 'performance-based' assessment, which involves children in substantial production of written language to serve as 'evidence' of their mathematical activity and achievement. However, this raises two important questions. Firstly, does this writing accurately present children's mathematical activity and ability? Secondly, do maths teachers have sufficient linguistic awareness to support their students in developing skills and knowledge necessary for writing effectively in their subject area? The author of this book takes a critical perspective on these questions and, through an investigation of teachers' readings and evaluations of coursework texts, identifies the crucial issues affecting the accurate assessment of school mathematics.

Spotlight on Young Children

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Publisher : Spotlight on Young Children
ISBN 13 : 9781938113345
Total Pages : 112 pages
Book Rating : 4.1/5 (133 download)

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Book Synopsis Spotlight on Young Children by : Holly Bohart

Download or read book Spotlight on Young Children written by Holly Bohart and published by Spotlight on Young Children. This book was released on 2018-06-05 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The debate surrounding testing and accountability in early childhood education continues, but one thing is universally agreed upon: effective observation and assessment of young children's learning are critical to supporting their development. Educators balance what they know about child development with observation and assessment approaches that both inform and improve the curriculum. This foundational resource for all educators of children from birth through third grade explores What observation and assessment are, why to use them, and how Ways to integrate documentation, observation, and assessment into the daily routine Practices that are culturally and linguistically responsive Ways to engage families in observation and assessment processes How to effectively share children's learning with families, administrators, and others Find inspiration to intentionally develop and implement meaningful, developmentally appropriate observation and assessment practices to build responsive, joyful classrooms.

Thinking KidsÕ Math , Grade K

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Publisher : Carson-Dellosa Publishing
ISBN 13 : 1483802043
Total Pages : 196 pages
Book Rating : 4.4/5 (838 download)

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Book Synopsis Thinking KidsÕ Math , Grade K by : Brighter Child

Download or read book Thinking KidsÕ Math , Grade K written by Brighter Child and published by Carson-Dellosa Publishing. This book was released on 2014-05-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Kids'(R) Math is a fun and hands-on approach to learning math! Increase your kindergartenerÕs critical thinking and problem solving skills with the colorful, interactive activities. Each activity supports early learning standards and uses a variety of manipulatives to encourage your child to connect with the math skills he or she is learning. In Thinking Kids Math, your child will learn about counting, sequencing, ordinal numbers, graphing, time, and money. Thinking Kids'(R) Math is a series of hands-on, manipulative math activities aligned to the Common Core State Standards. Each 192-page book consists of different types of grade-appropriate hands-on activities. This series was built on the idea that children learn math concepts best through hands-on experiences. These activities will provide hours of fun while encouraging Common Core Standards through active learning.

Teaching Math to Multilingual Students, Grades K-8

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Publisher : Corwin Press
ISBN 13 : 1071810839
Total Pages : 317 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Teaching Math to Multilingual Students, Grades K-8 by : Kathryn B. Chval

Download or read book Teaching Math to Multilingual Students, Grades K-8 written by Kathryn B. Chval and published by Corwin Press. This book was released on 2021-01-07 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.

Mathematical Knowledge and Skills

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Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (77 download)

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Book Synopsis Mathematical Knowledge and Skills by : National Assessment of Educational Progress

Download or read book Mathematical Knowledge and Skills written by National Assessment of Educational Progress and published by . This book was released on 1979 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: