Pin it!
Google Plus

(eBook) Putting Essential Understanding of Fractions into Practice, Grades 3-5 (PDF Downloads)

List Price$25.16
Member Price$20.13
Your Price $25.16
Available Product Available Yes
Add to Cart

Product Details

Stock # 14745
ISBN # 978-0-87353-858-9
Published 4/1/2013
Pages 148
Grades Grades 3-5,

See What's Inside

Table of Contents (PDF)

Read an Excerpt (PDF)


Product Description

By Kathryn Chval, John Lannin, Dustin Jones, Barbara Dougherty

Do your students suppose that 1/3 is greater than 1/2, since 3 is greater than 2? Do they believe that having “halves” means having two, and only two, congruent “pieces” of a whole?

What tasks can you offer—what questions can you ask—to determine what your students know or don’t know—and move them forward in their thinking?

This book focuses on the specialized pedagogical content knowledge that you need to teach fractions effectively in grades 3–5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with fractions—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts.

Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of fractions. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.

About the Series:

You have essential understanding. It’s time to put it into practice in your teaching.

The Putting Essential Understanding into Practice Series moves NCTM’s Essential Understanding Series into the classroom. The new series details and explores best practices for teaching the essential ideas that students must grasp about fundamental topics in mathematics—topics that are challenging to learn and teach but are critical to the development of mathematical understanding.

Classroom vignettes and samples of student work bring each topic to life, and questions for reader refl¬ection open it up for hands-on exploration. Each volume underscores connections with the Common Core State Standards for Mathematics while highlighting the knowledge of learners, curriculum, understanding into practice, instructional strategies, and assessment that pedagogical content knowledge entails. Resources and tasks are available at

Maximize the potential of student-centered learning and teaching by putting essential understanding into practice
All Categories : Publications : Education Materials

Related Products

ProductDescriptionList Price 
Developing Essential Understanding of Statistics for Teaching Mathematics in Grades 9-12This book examines five big ideas and twenty-four related essential understandings for teaching statistics in grades 9–12.$32.95
Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9-12Help your high school students develop a robust understanding of functions.$35.95
Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12This book focuses on essential knowledge for teachers about proof and the process of proving. It is organized around five big ideas, supported by multiple smaller, interconnected ideas—essential understandings.$35.95
Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12This book focuses on essential knowledge for teachers about geometry. It is organized around four big ideas, supported by multiple smaller, interconnected ideas--essential understandings. $35.95

Customers Who Bought This Also Bought...

Product DescriptionList Price 
Putting Essential Understanding of Multiplication and Division into Practice in Grades 3-5
Do your students believe that division "doesn't make sense" if the divisor is greater than the dividend?

Explore rich, researched-based strategies and tasks that show how students are reasoning about and making sense of mulitplication and division.
5 Practices for Orchestrating Productive Mathematics Discussions
NCTM'S Best Selling Book!

Learn the 5 practices for Orchestrating Productive Mathematics Discussions:

Anticipating what students will do--what strategies they will use--in solving a problem
Monitoring their work as they approach the problem in class
Selecting students whose strategies are worth discussing in class
Sequencing those students' presentations to maximize their potential to increase students' learning
Connecting the strategies and ideas in a way that helps students understand the mathematics learned

Includes a Professional Development Guide.

Copublished with Corwin Press
High-Yield Routines for Grades K-8
Boost student participation and proficiency with high-yield, effective mathematical routines.$24.95
Navigating through Data Analysis and Probability in Grades 3–5 (with CD-ROM)
An assortment of discussions, activities, and investigations emphasize the collection and analysis of data and develop the idea of probability as a measure of the likelihood of events that are meaningful and real to students.$34.95
Good Questions: Great Ways to Differentiate Mathematics, Second Edition
Expanded to include connections to Common Core State Standards, as well as National Council of Teachers of Mathematics standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K–8 classroom. In this bestseller, math education expert Marian Small explains two powerful and universal strategies that teachers can use across all math content: Open Questions and Parallel Tasks. $30.95
Navigating through Number and Operations in Grades 3-5 (with CD-ROM)
Activities in this book invite students to use fraction circles to compare fractions and dot arrays to explore multiplication and the distributive property. The authors present many other hands-on approaches as well.$46.95
Developing Essential Understanding of Mathematical Reasoning for Teaching Mathematics in Grades Pre-K-8
This book focuses on essential knowledge for teachers about mathematical reasoning. It is organized around one big idea, supported by multiple smaller, interconnected ideas—essential understandings.Taking you beyond a simple introduction to mathematical reasoning, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students' understanding of the topic.

Do MATH Window Cling
This clear static window cling is a great decoration for any home, school, or car window.$1.95
The Elementary Mathematics Specialist’s Handbook
An influential new member joins the elementary school team…
In this handbook—

  • Vignettes flesh out the elementary mathematics specialist’s many responsibilities.
  • Experienced specialists offer tips on gaining teachers’ trust—and access to their classrooms.
  • Special guidance highlights effective collaboration between the principal and the specialist.

Do Math Poster- Middle School
Do Math Poster- Middle School$9.00
View Cart