
A Focus on Fractions
Bringing Mathematics Education Research to the Classroom
Routledge (Publisher)
3rd Edition
Published on 29. July 2022
Book
Paperback/Softback
216 pages
978-1-032-02845-3 (ISBN)
Description
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.
Revealing students' thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers' experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP), and updated throughout, this engaging and easy-to-use resource also features:
Two new chapters dedicated to understanding the OGAP Fraction Framework and Progression-based on research conducted with hundreds of teachers-to gather and interpret evidence of student learning along a learning progression, referenced throughout the book so readers can apply the concepts to their instruction
A close focus on student work, including 180+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students' errors and misconceptions, as well as their developing conceptual understanding
A discussion of decimal fractions, also new to the third edition
In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research
End-of-chapter Looking Back questions to allow teachers to analyze student thinking and consider instructional strategies for their own students
Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs
Accompanying online Support Material includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression
A Focus on Fractions is part of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and multiplication and division, this updated new edition bridges the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.
Revealing students' thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers' experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP), and updated throughout, this engaging and easy-to-use resource also features:
Two new chapters dedicated to understanding the OGAP Fraction Framework and Progression-based on research conducted with hundreds of teachers-to gather and interpret evidence of student learning along a learning progression, referenced throughout the book so readers can apply the concepts to their instruction
A close focus on student work, including 180+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students' errors and misconceptions, as well as their developing conceptual understanding
A discussion of decimal fractions, also new to the third edition
In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research
End-of-chapter Looking Back questions to allow teachers to analyze student thinking and consider instructional strategies for their own students
Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs
Accompanying online Support Material includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression
A Focus on Fractions is part of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and multiplication and division, this updated new edition bridges the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.
More details
Series
Edition
3rd edition
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Postgraduate, Professional, Professional Practice & Development, and Undergraduate Advanced
Illustrations
328 s/w Abbildungen, 328 s/w Zeichnungen, 19 s/w Tabellen
19 Tables, black and white; 328 Line drawings, black and white; 328 Illustrations, black and white
Dimensions
Height: 254 mm
Width: 178 mm
Thickness: 13 mm
Weight
445 gr
ISBN-13
978-1-032-02845-3 (9781032028453)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Marjorie M. Petit | Robert E. Laird | Caroline B. Ebby
A Focus on Fractions
Bringing Mathematics Education Research to the Classroom
E-Book
07/2022
3rd Edition
Routledge
€41.99
Available for download

Marjorie M. Petit | Robert E. Laird | Caroline B. Ebby
A Focus on Fractions
Bringing Mathematics Education Research to the Classroom
E-Book
07/2022
3rd Edition
Routledge
€41.99
Available for download

Marjorie M. Petit | Robert E. Laird | Caroline B. Ebby
A Focus on Fractions
Bringing Mathematics Education Research to the Classroom
Book
07/2022
3rd Edition
Routledge
€205.00
Shipment within 10-20 days
Previous edition

Marjorie M. Petit | Robert E. Laird | Caroline B. Ebby
A Focus on Fractions
Bringing Research to the Classroom
Book
07/2015
2nd Edition
Routledge
€75.70
Article exhausted; check for reprint
Persons
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.
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.
Author
Vermont Mathematics Partnership Ongoing Assessment Project, USA
Vermont Mathematics Institute, USA
University of Pennsylvania, USA
Norwich University, USA
Content
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
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