3rd Edition

A Focus on Fractions Bringing Mathematics Education Research to the Classroom

230 Pages 328 B/W Illustrations
by Routledge

230 Pages 328 B/W Illustrations
by Routledge

230 Pages 328 B/W Illustrations
by Routledge

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... Read more

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

Biography

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.