Children'S Mathematics 4-15: Learning From Errors And Misconceptions PDF Download
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Author: Ryan, Julie
Publisher: McGraw-Hill Education (UK)
ISBN: 0335220428
Category : Education
Languages : en
Pages : 262
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Book Description
This work uses data from the authors' own research on children's performance, errors and misconceptions across the mathematics curriculum. It develops concepts for teachers to use in organising their understanding and knowledge of children's mathematics, and concludes with theoretical accounts of learning and teaching.
Author: Ryan, Julie
Publisher: McGraw-Hill Education (UK)
ISBN: 0335220428
Category : Education
Languages : en
Pages : 262
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Book Description
This work uses data from the authors' own research on children's performance, errors and misconceptions across the mathematics curriculum. It develops concepts for teachers to use in organising their understanding and knowledge of children's mathematics, and concludes with theoretical accounts of learning and teaching.
Author: Julie Ryan
Publisher: McGraw-Hill Education (UK)
ISBN: 0335230202
Category : Education
Languages : en
Pages : 264
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Book Description
The mistakes children make in mathematics are usually not just ‘mistakes’ - they are often intelligent generalizations from previous learning. Following several decades of academic study of such mistakes, the phrase ‘errors and misconceptions’ has recently entered the vocabulary of mathematics teacher education and has become prominent in the curriculum for initial teacher education. The popular view of children’s errors and misconceptions is that they should be corrected as soon as possible. The authors contest this, perceiving them as potential windows into children’s mathematics. Errors may diagnose significant ways of thinking and stages in learning that highlight important opportunities for new learning. This book uses extensive, original data from the authors’ own research on children’s performance, errors and misconceptions across the mathematics curriculum. It progressively develops concepts for teachers to use in organizing their understanding and knowledge of children’s mathematics, offers practical guidance for classroom teaching and concludes with theoretical accounts of learning and teaching. Children’s Mathematics 4-15 is a groundbreaking book, which transforms research on diagnostic errors into knowledge for teaching, teacher education and research on teaching. It is essential reading for teachers, students on undergraduate teacher training courses and graduate and PGCE mathematics teacher trainees, as well as teacher educators and researchers.
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: Vladimir I. Arnold
Publisher: Springer Science & Business Media
ISBN: 9783540206149
Category : Mathematics
Languages : en
Pages : 664
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Book Description
Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research
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: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53
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Book Description
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.
Author: Patricia Clark Kenschaft
Publisher: Courier Corporation
ISBN: 0486782158
Category : Mathematics
Languages : en
Pages : 340
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Book Description
Critically acclaimed and commercially successful, this resource is packed with useful information and instruction. Features proven teaching techniques, games, and more. Suitable for parents of children from preschool to age 10. 2006 edition.
Author: Pamela Liebeck
Publisher: Penguin UK
ISBN:
Category : Education
Languages : en
Pages : 268
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Book Description
Author: Robert E. Reys
Publisher:
ISBN: 9780730350675
Category : Mathematics
Languages : en
Pages : 720
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Book Description
Helping Children Learn Mathematics, 1st Australian Edition reflects the ever changing world of learning and teaching in early childhood to primary level mathematics. Teachers of mathematics not only experience change but more importantly, have an opportunity to lead the way. This text empowers pre-service teachers to successfully navigate the new Australian Curriculum and NAPLAN testing with practical, engaging strategies to help children learn mathematics in tomorrow’s classroom. With an appealing, visual design that focuses on real world classroom applications, this text will provide preservice teachers with the tools they require to cater to diverse student learning styles with a broad range of useful techniques. Complemented by the latest research in the field, this text will equip tomorrow’s teachers with a clear roadmap to help children learn mathematical concepts and skills, as well as important problem-solving strategies.
Author: Elizabeth Carruthers
Publisher: Paul Chapman Educational Publishing
ISBN: 9781412922838
Category : Business & Economics
Languages : en
Pages : 286
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Book Description
Offering practical guidance to teachers and novice teachers the authors explore a number of ways of helping children make sense of mathematics and suggest alternatives to the excessive use of worksheets.
