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Extending Children's Mathematics

Extending Children's Mathematics
Author: Susan B. Empson
Publisher: Heinemann Educational Books
Total Pages: 0
Release: 2011
Genre: Education
ISBN: 9780325030531

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"With the collaboration of a number of dedicated teachers and their students, Susan Empson and Linda Levi have produced a volume that is faithful to the basic principles of CGI while at the same time covering new ground with insight and innovation." -Thomas P. Carpenter This highly anticipated follow-up volume to the landmark Children's Mathematics: Cognitively Guided Instruction addresses the urgent need to help teachers understand and teach fraction concepts. Fractions remain one of the key stumbling blocks in math education, and here Empson and Levi lay a foundation for understanding fractions and decimals in ways that build conceptual learning. They show how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals. Just as they did in Children's Mathematics and Thinking Mathematically, Empson and Levi provide important insights into children's thinking and alternative approaches to solving problems. Three themes appear throughout the book: building meaning for fractions and decimals through discussing and solving word problems the progression of children's strategies for solving fraction word problems and equations from direct modeling through relational thinking designing instruction that capitalizes on students' relational thinking strategies to integrate algebra into teaching and learning fractions. With illuminating examples of student work, classroom vignettes, "Teacher Commentaries" from the field, sample problems and instructional guides provided in each chapter, you'll have all the tools you need to teach fractions and decimals with understanding and confidence.


Developing Fractions Knowledge

Developing Fractions Knowledge
Author: Amy J. Hackenberg
Publisher: SAGE
Total Pages: 343
Release: 2016-07-21
Genre: Education
ISBN: 147398761X

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Supporting and understanding your students’ fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralizing around three key stages of development, this effective guide will help you to assess your students’ understanding of fractions and modify your teaching accordingly. These key stages are identified as: Stage 1a: Fair Sharing Stage 1b: Part-Whole Stage 2a: Disembedding and IteratingStage 2b: Measuring with Unit Fractions Stage 2c: Reversing Fractions Stage 3a: Fractions as Numbers Stage 3b: Operating with Fractions As the newest addition to the bestselling Maths Recovery Series, this book will be a useful guide for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors.


Fractions in Disguise

Fractions in Disguise
Author: Edward Einhorn
Publisher: Charlesbridge
Total Pages: 32
Release: 2014-03-25
Genre: Juvenile Nonfiction
ISBN: 1607347288

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Crack the case with George Cornelius Factor in this entertaining math adventure that introduces simplified and reduced fractions with equal parts intrigue and humor. When a valuable fraction goes missing, George Cornelius Factor (a.k.a. GCF) vows to track it down. Knowing that the villainous Dr. Brok likes to disguise his ill-gotten fractions, GCF invents a Reducer—half ray gun, half calculator— that strips away the disguise, reducing the fraction to its lowest common denominator and revealing its true form. With the Reducer in hand, George seeks out Dr. Brok in hopes of retrieving the missing fraction. Back matter includes more detail on simplifying, or reducing, fractions.


Apple Fractions

Apple Fractions
Author: Jerry Pallotta
Publisher: Turtleback Books
Total Pages: 32
Release: 2003-07-01
Genre: Juvenile Nonfiction
ISBN: 9780613670548

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For use in schools and libraries only. Describes a variety of apples and uses them to introduce fractions.


The Hershey's Milk Chocolate Bar Fractions Book

The Hershey's Milk Chocolate Bar Fractions Book
Author: Jerry Pallotta
Publisher: Scholastic
Total Pages: 36
Release: 1999
Genre: Juvenile Nonfiction
ISBN: 9780439135191

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A collection of children's books on the subject of numbers and counting.


Eating Fractions

Eating Fractions
Author:
Publisher: Scholastic Inc.
Total Pages: 44
Release: 1991
Genre: Big books
ISBN: 0590437704

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Food is cut into halves, quarters, and thirds to illustrate how parts make a whole. Simple recipes included.


Fractions are Parts of Things

Fractions are Parts of Things
Author: J. Richard Dennis
Publisher:
Total Pages: 46
Release: 1971
Genre: Juvenile Nonfiction
ISBN: 9780690315202

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Describes, through use of diagrams and illustrations, the basic concept of fractions, specifically halves, thirds, and fourths.


Mastering Fractions

Mastering Fractions
Author: Said Hamilton
Publisher:
Total Pages: 0
Release: 1996
Genre: Fractions
ISBN: 9780964995406

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Introduction to the concept of fractions with over 1,600 problems with step-by-step solutions.


Visual Fractions

Visual Fractions
Author: Pi Squared
Publisher: Createspace Independent Publishing Platform
Total Pages: 0
Release: 2011-05-28
Genre: Fractions
ISBN: 9781463542795

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This math workbook from the Dr. Pi Squared Math Workbooks series aims to teach what a fraction is and help kids visualize fractions. It is designed for kids who are just learning about fractions. The problems consist of colorful pictures from which kids are to determine fractions. The book begins with circles cut into pie slices, from halves to twelfths. The students need to determine what fraction of each pie is blue, yellow, and red. For example, if a pie is divided into fourths, two of which are blue, one yellow, and the other red, the student would answer one-half, one-fourth, and one-fourth. After ample practice with pie slices, the workbook moves onto triangles, squares, and hexagons. A couple of pages include groups of circles where kids need to determine fractions greater than one - for example, two and a half circles might be colored green. Other visual fraction problems include rectangles, smiley faces, arrows, letters, and numbers. Toward the end of the workbook, some questions ask about more than just colors - like what fraction of the arrows point up, or what fraction of the letters are vowels. Answers are nicely organized by page number in the back of the book to allow students, parents, or teachers to quickly check the answers. There is ample workspace for students to write large answers and still fit their solutions comfortably into the space provided. The problems appear in a large font size, since students usually write larger than standard textbook fonts. High-quality, durable, bright paper is used (instead of standard workbook paper, which often tears easily and appears dull in color).


Working with Fractions

Working with Fractions
Author: David A. Adler
Publisher: National Geographic Books
Total Pages: 0
Release: 2009-03-05
Genre: Juvenile Nonfiction
ISBN: 0823422070

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Fractions are everywhere you look -- on the playground, at school, even at birthday parties! When it comes to counting money, playing games, or making sure you get your fair share of the pizza, fractions are there to help you. Add David A. Adler's handy text to Edward Miller's lively art and you get not just a fraction -- but a whole lot -- of fun.