Children’s Reasoning While Building Fraction Ideas / edited by Carolyn A. Maher, Dina Yankelewitz.

Format:

Book

Contributor:

Maher, Carolyn A., Editor.

Yankelewitz, Dina., Editor.

Series:

Mathematics Teaching and Learning

Language:

English

Subjects (All):

Education.

Local Subjects:

Education.

Physical Description:

1 online resource (CCXXII, 16 p.)

Edition:

1st ed. 2017.

Place of Publication:

Rotterdam : SensePublishers : Imprint: SensePublishers, 2017.

Summary:

This book may be used for research, graduate and undergraduate teacher education, and teacher development. It presents an integrated set of studies of a heterogeneously grouped class of twenty-one nine-year olds, engaged in exploring fraction ideas prior to classroom instruction under conditions that supported investigation, collaboration and argumentation. It demonstrates with text and video narrative how young children can reason about mathematics in surprisingly sophisticated ways when provided the opportunity to do so in the proper classroom environment. In this volume, fourth grade students’ reasoning about fraction concepts is described through careful analysis and accompanying video excerpts showcasing the variety and originality of their thinking. These children will serve as an inspiration for educators to encourage the development of reasoning and argumentation in their students as part of a mathematics curriculum designed to produce critical thinkers.

Contents:

Preliminary Material / Carolyn A. Maher and Dina Yankelewitz

The Experiment / Carolyn A. Maher and Dina Yankelewitz

Establishing A Mathematical Community / Miriam Gerstein

A Problem With No Solution / Dina Yankelewitz and Esther Winter

Designing A New Rod / Dina Yankelewitz and Miriam Gerstein

Reasoning by Cases While Exploring Fractions as Numbers / Esther Winter and Dina Yankelewitz

Developing the Foundation for Proportional Reasoning / Esther Winter

Establishing the Importance of the Unit / Cheryl K. Van Ness and Alice S. Alston

Switching the Unit / Alice S. Alston and Cheryl K. Van Ness

Justifying the Choice of the Unit / Cheryl K. Van Ness and Alice S. Alston

Determining Fraction Equivalence / Miriam Gerstein and Dina Yankelewitz

Using Reasoning to Resolve Conjectures / Suzanne Reynolds and Elizabeth B. Uptegrove

The Development of Upper and Lower Bounds Arguments While Comparing Fractions / Dina Yankelewitz and Esther Winter

Using Generic Reasoning to Compare Fractions / Dina Yankelewitz

Recursive Reasoning / Dina Yankelewitz and Baila Salb

From Rod Models To Line Segments / Suzanna Schmeelk

Students’ Argumentation About Ahe Density Of Fractions / Cheryl K. Van Ness

Comparing And Ordering Fractions / Kenneth Horwitz and Suzanna Schmeelk

Extending Fraction Placement From Segments To A Number Line / Kenneth Horwitz

Epilogue / Carolyn A. Maher , Alice S. Alston and Dina Yankelewitz

Fraction Tasks And Activities By Chapter / Carolyn A. Maher and Dina Yankelewitz

Fraction Dissertations From The Colts Neck Intervention / Carolyn A. Maher and Dina Yankelewitz

Video Narratives By Chapter And Author(s) / Carolyn A. Maher and Dina Yankelewitz

Index / Carolyn A. Maher and Dina Yankelewitz.

Notes:

Includes bibliographical references and index.

Description based on publisher supplied metadata and other sources.

ISBN:

9789463510080

9463510087

OCLC:

995130619