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A Focus on Fractions: Bringing Research to the Classroom: Studies in Mathematical Thinking and Learning

Autor Marjorie M. Petit, Robert E. Laird, Edwin L. Marsden, Caroline B. Ebby
en Limba Engleză Hardback – 9 aug 2015

A Focus on Fractions is a groundbreaking effort to make the mathematics education research on how students develop their understanding of fraction concepts readily accessible and understandable to pre- and in-service K 8 mathematics educators. Using extensive annotated samples of student work, as well as vignettes characteristic of classroom teachers experiences, this book equips educators with the knowledge and tools to reveal" "students thinking so that they can modify their teaching and improve student learning of fraction concepts. "A Focus on Fractions 2nd edition" includes sections on the Common Core State Standards for Mathematics and the "Ongoing Assessment Project (OGAP) Fraction Framework integrated into each chapter "as well as a new chapter on the "OGAP Fraction Progression" and how it can be used for formative assessment purposes. This updated edition assists teachers in translating research findings into their classroom practice by conveying detailed information about how students develop fraction understandings. Additional images and examples serve to flesh out and supplement the newly-introduced concepts in this updated and expanded edition.

Special Features:

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  • Looking Back Questions "at the end of each chapter provide teachers the opportunity to analyze student thinking and consider instructional strategies for their own students.
  • "

  • Instructional Links" help teachers relate concepts from the chapter to their own instructional materials and programs.
  • "

  • Big Ideas" frame the chapters and provide a platform for meaningful exploration of the teaching of fractions.
  • "

  • Answer Key" posted online offers extensive explanations of in-chapter questions.
  • New sections devoted to the CCSSM and "OGAP Fraction Progression" are woven throughout the book as well as a new stand alone chapter on the "OGAP Fraction Progression."
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  • The OGAP Fraction Framework" is an all-new eResource, now available as a free download from the book s website: www.routledge.com/9781138816442.
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Specificații

ISBN-13: 9781138816435
ISBN-10: 1138816434
Pagini: 244
Ilustrații: 14 black & white tables, 285 black & white line drawings
Dimensiuni: 152 x 229 x 14 mm
Greutate: 0.49 kg
Ediția:Revised
Editura: Taylor & Francis Group
Seria Studies in Mathematical Thinking and Learning


Cuprins

1 Understanding Fractions as a Number
2 Developing Understanding of Fractions Through Visual Models
3 What is the Whole?
4 Equipartitioning
5 Understanding the OGAP Fraction Framework and Progression
6 Using the OGAP Fraction Progression to Inform Instruction and Support Student Learning
7 Equivalence
8 Comparing and Ordering
9 Number Lines and Fractions
10 The Density of Fractions
11 Addition and Subtraction of Fractions
12 Multiplication and Division of Fractions

Notă biografică

Marjorie M. Petit has provided leadership in the development and ongoing implementation of the Ongoing Assessment Project (OGAP) and is a partner in OGAPMath LLC.
Robert E. Laird is Co-director of Teaching, Learning, and Research for the Vermont Mathematics Institute (VMI), USA. Bob is a OGAP National Facilitator and a partner in OGAPMath LLC.
Caroline B. Ebby is Senior Researcher at the Consortium for Policy Research in Education (CPRE) and Adjunct Associate Professor at the Graduate School of Education at the University of Pennsylvania, USA. Caroline is a National OGAP Facilitator.
Edwin L. Marsden was Professor of Mathematics and Former Chair of the Department of Mathematics at Norwich University, USA.

Descriere

Descriere de la o altă ediție sau format:
The third edition of this book offers a unique approach to making mathematics education research on the teaching and learning of fraction concepts readily accessible and understandable to pre-service and in-service K-8 mathematics teachers.