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Author: Thomas P. Carpenter
Publisher: Heinemann Educational Books
ISBN: 9780325052878
Category : Education
Languages : en
Pages : 0
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Book Description
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.
Author: Thomas P. Carpenter
Publisher: Heinemann Educational Books
ISBN: 9780325052878
Category : Education
Languages : en
Pages : 0
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Book Description
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.
Author: Susan B. Empson
Publisher: Heinemann Educational Books
ISBN: 9780325030531
Category : Education
Languages : en
Pages : 0
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Book Description
"With the collaboration of a number of dedicated teachers and their students, Susan Empson and Linda Levi have produced a volume that is faithful to the basic principles of CGI while at the same time covering new ground with insight and innovation." -Thomas P. Carpenter This highly anticipated follow-up volume to the landmark Children's Mathematics: Cognitively Guided Instruction addresses the urgent need to help teachers understand and teach fraction concepts. Fractions remain one of the key stumbling blocks in math education, and here Empson and Levi lay a foundation for understanding fractions and decimals in ways that build conceptual learning. They show how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals. Just as they did in Children's Mathematics and Thinking Mathematically, Empson and Levi provide important insights into children's thinking and alternative approaches to solving problems. Three themes appear throughout the book: building meaning for fractions and decimals through discussing and solving word problems the progression of children's strategies for solving fraction word problems and equations from direct modeling through relational thinking designing instruction that capitalizes on students' relational thinking strategies to integrate algebra into teaching and learning fractions. With illuminating examples of student work, classroom vignettes, "Teacher Commentaries" from the field, sample problems and instructional guides provided in each chapter, you'll have all the tools you need to teach fractions and decimals with understanding and confidence.
Author: David Jackman Whitin
Publisher: Heinemann Educational Books
ISBN:
Category : Education
Languages : en
Pages : 228
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Book Description
Demonstrates the potential for literature in learnersin a variety of mathematical investigations.
Author: Douglas H. Clements
Publisher: Routledge
ISBN: 0805842101
Category : Education
Languages : en
Pages : 474
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Book Description
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.
Author: Elizabeth Carruthers
Publisher: SAGE
ISBN: 1847878814
Category : Education
Languages : en
Pages : 282
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Book Description
′In Case Study 5 (a grassroots ′Children′s Mathematics Network group′) the initiative supported the participants in their professional change by giving them a space for the detailed and joint consideration of children′s mathematical thinking. Another significant feature of this initiative is its focus on careful consideration and analysis of children′s mathematics, and the ways in which professionals can support and encourage the children′s mathematical thinking and reasoning... The standard of the mathematical understanding, thinking and reasoning that the displays revealed was far higher than the specified curriculum objectives for children of this age...′ - Researching Effective CPD in Mathematics Education (RECME) project: (NCETM, 2009) ′The review also plays great score by play-based learning of a mathematical nature, and makes specific recommendations regarding early mark-making as a precursor to abstract mathematical symbolism′. Section 115 features children′s mathematical graphics and emphasises: ′The role of mark-making in children′s cognitive development is set out in the taxonomy (Carruthers and Worthington, 2006)′. The report recommends that ′local authorities, leaders, managers and head teachers should provide a culture with a significant focus on mathematical mark-making′ and ′a learning environment that encourages children to choose to use their own mathematical graphics to support their mathematical thinking and processes′ - The Williams Maths Review: (DCSF, 2008) `At the very heart of the success of the book is the authors′ ability to see mathematics through young children′s eyes by listening to and reflecting on the constant efforts made by children to make sense of their world. This is a liberating book which proposes that the teaching of mathematics could and should be a highly creative and enjoyable proceess′ - Branwen Llewelyn Jones, Early Years Consultant at PACE Ltd / TACTYC ′Ground breaking... To single out any one chapter would be unfair because there is something thought-provoking and inspirational throughout. If you want to expand your understanding upwards and outwards then get a copy soon′ - Times Educational Supplement ′I first read Children′s Mathematics, Making Marks, Making Meaning a couple of years ago and it had an immediate impact on my own thinking and teaching, and the work I do with trainee teachers. I′m sure you will find it compelling reading too. I think it has the potential to change, in a fundamental way, how we think about early mathematical development′ - Lynne McClure, Editor, Math Co-ordiator′s File, Mathematics Association ′In their exceptionally readable and informative book, Children′s Mathematics, Making Marks, Making Meaning Carruthers and Worthington (2006) draw attention to one of the main goals of early years teaching, that is, to help children make links between the mathematics they have already encountered (and continue to engage with) at home and the more abstract mathematics of the school. These authors suggest that by encouraging children to represent mathematical ideas in their own ways and, crucially, by talking to the pupils about the marks they have made, we are given a "window" onto their thinking that may otherwise be inaccessible′ - Liz Pumphrey, NRICH This book draws on the authors′ many years of teaching children aged three to eight years and also on their extensive research with children in the home, nursery and school. The authors explain the development and range of young children′s mathematical marks and visual representations, showing how children make mental connections between their own early marks and subsequent abstract mathematical symbolism, and go on to develop their own written methods. Combining theory and practice, this acclaimed book demonstrates how children′s own mathematical graphics are highly creative and show deep levels of thinking. The authors show how this is the key to success in school mathematics and to higher levels of achievement. The authors are winners of TACTYC′s (2003) Jenefer Joseph Award for the Creative Arts (3 - 8) - awarded for their innovative work with children on mathematical graphics.
Author: Terezinha Nunes
Publisher: Wiley-Blackwell
ISBN: 9780631184720
Category : Psychology
Languages : en
Pages : 292
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Book Description
Children Doing Mathematics provides a reliable and up to date review of the substantial recent work in children' mathematical understanding. The authors also present important new research on children's understanding of number, measurement, arithmetic operation and fractions both in and out of school. The central theme of Children Doing Mathematics is that there are crucial conditions for children's mathematical learning. Firstly, children have to come to grips with conventional mathematical systems. Secondly, but equally important, they have to be able to present mathematical knowledge in a way that solves problems. The book also discusses how mathematical activities and knowledge involve much more than what is currently viewed as mathematics in the school curriculum. Most recent work illustrates how children can be successful in mathematical activities outside school whereas they fail in similar activities in the classroom. Through these two underlying themes the authors bring together discussions on conventional mathematical learning and on real life mathematical success. In so doing, they also highlight new and better ways of analysing children's abilities and of advancing their learning in school.
Author: Pamela Liebeck
Publisher: Penguin UK
ISBN:
Category : Education
Languages : en
Pages : 268
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Book Description
Author: Bill McCandliss
Publisher:
ISBN: 9780898240337
Category : Mathematical recreations
Languages : en
Pages : 98
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Book Description
Author: Jon Scieszka
Publisher: Penguin
ISBN: 0670861944
Category : Juvenile Fiction
Languages : en
Pages : 34
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Book Description
Did you ever wake up to one of those days where everything is a problem? You have 10 things to do, but only 30 minutes until your bus leaves. Is there enough time? You have 3 shirts and 2 pairs of pants. Can you make 1 good outfit? Then you start to wonder: Why does everything have to be such a problem? Why do 2 apples always have to be added to 5 oranges? Why do 4 kids always have to divide 12 marbles? Why can't you just keep 10 cookies without someone taking 3 away? Why? Because you're the victim of a Math Curse. That's why. But don't despair. This is one girl's story of how that curse can be broken.
Author: Mary Hynes-Berry
Publisher:
ISBN: 9781938113512
Category : Education
Languages : en
Pages : 160
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Book Description
Use the powerful strategies of play and storytelling to help young children develop their "math brains." This easy-to-use resource includes fun activities, routines, and games inspired by children's books that challenge children to recognize and think more logically about the math all around them.
