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Making sense of fractions, ratios, and proportions / Bonnie Litwiller, George Bright.

By: Contributor(s): Series: Yearbook (National Council of Teachers of Mathematics) ; 2002.Publication details: Reston, Va. : National Council of Teachers of Mathematics, c2002.Description: x, 261 p. : ill. ; 24 cmISBN:
  • 0873535197
Subject(s): LOC classification:
  • QA1 .N3 2002
Contents:
Elementary School -- Introduction / Judith Sowder -- The development of students' knowledge of fractions and ratios / John P. Smith III -- Children's development of meaningful fraction algorithms: A kid's cookies and a puppy's pills / Janet M. Sharp, Joe Garofalo, Barbara Adams -- Organizing diversity in early fraction thinking / Susan B. Empson -- Using manipulative models to build number sense for addition and fractions / Kathleen Cramer, Apryl Henry -- Young children's growing understanding of fraction ideas / Elena Steencken, Carolyn A. Maher -- Go ask Alice about multiplication of fractions / Susan B. Taber -- Examining dimensions of fraction operation sense / DeAnn Huinker -- Part-whole comparisons with unitizing / Sue Lamon -- Butterflies and caterpillars: Multiplicative and proportional reasoning in the early grades / Patricia Ann Kenney, Mary M. Lindquist, Cristina L. Heffernan -- Classroom challenges: Exploring proportional reasoning: Mr. Tall/Mr. Short : 3/5's problem : The part-whole relationship -- Middle School -- Introduction / Teresa Yazujian -- Percents and proportion at the center: Altering the teaching sequences for rational number / Joan Moss --Making explicit what students know about representing fractions / Barbara M. Moskal, Maria E. Magone -- Using literature as a vehicle to explore proportional reasoning / Denisse R. Thompson, Richard A. Austin, Charlene E. Beckmann -- Proportional reasoning: One problem, many solutions / Suzanne Levin Weinberg -- Using representational contexts to support multiplicative reasoning / Laura B. Kent, Joyce Arnosky, Judy McMonagle -- Fraction division interpretations / Rose Sinicrope, Harold W. Mick, John R. Kolb -- Developing understanding of ratio and measure as a foundation for slope / Joanne Lobato, Eva Thanheiser -- Using technology to teach concepts of speed / Janet Bowers, Susan Nickerson, Garrett Kenehan -- Classroom challenges: Number patterns; Candy bars and lawns; Condo problem -- Professional development -- Introduction / David Duncan -- Developing students' proportional reasoning: a Chinese perspective / Jinfa Cai, Wei Sun -- The development of rational number sense / Irene T. Miura, Jennifer M. Yamagishi -- Multiplicative reasoning: Developing student's shared meanings / Cristina Gomez -- Fraction instruction that fosters multiplicative reasoning / Lee Vanhille, Arthur J. Baroody -- Profound understanding of division of fractions / Alfinio Flores -- Connecting informal thinking and algorithms: the case of division of fractions / Daniel Siebert -- Classroom challenges: Fraction problem; Fraction problem; A fraction activity.

Supplement: Classroom Activities for Making sense of fractions, ratios, and proportions

Includes bibliographical references.

Elementary School -- Introduction / Judith Sowder -- The development of students' knowledge of fractions and ratios / John P. Smith III -- Children's development of meaningful fraction algorithms: A kid's cookies and a puppy's pills / Janet M. Sharp, Joe Garofalo, Barbara Adams -- Organizing diversity in early fraction thinking / Susan B. Empson -- Using manipulative models to build number sense for addition and fractions / Kathleen Cramer, Apryl Henry -- Young children's growing understanding of fraction ideas / Elena Steencken, Carolyn A. Maher -- Go ask Alice about multiplication of fractions / Susan B. Taber -- Examining dimensions of fraction operation sense / DeAnn Huinker -- Part-whole comparisons with unitizing / Sue Lamon -- Butterflies and caterpillars: Multiplicative and proportional reasoning in the early grades / Patricia Ann Kenney, Mary M. Lindquist, Cristina L. Heffernan -- Classroom challenges: Exploring proportional reasoning: Mr. Tall/Mr. Short : 3/5's problem : The part-whole relationship -- Middle School -- Introduction / Teresa Yazujian -- Percents and proportion at the center: Altering the teaching sequences for rational number / Joan Moss --Making explicit what students know about representing fractions / Barbara M. Moskal, Maria E. Magone -- Using literature as a vehicle to explore proportional reasoning / Denisse R. Thompson, Richard A. Austin, Charlene E. Beckmann -- Proportional reasoning: One problem, many solutions / Suzanne Levin Weinberg -- Using representational contexts to support multiplicative reasoning / Laura B. Kent, Joyce Arnosky, Judy McMonagle -- Fraction division interpretations / Rose Sinicrope, Harold W. Mick, John R. Kolb -- Developing understanding of ratio and measure as a foundation for slope / Joanne Lobato, Eva Thanheiser -- Using technology to teach concepts of speed / Janet Bowers, Susan Nickerson, Garrett Kenehan -- Classroom challenges: Number patterns; Candy bars and lawns; Condo problem -- Professional development -- Introduction / David Duncan -- Developing students' proportional reasoning: a Chinese perspective / Jinfa Cai, Wei Sun -- The development of rational number sense / Irene T. Miura, Jennifer M. Yamagishi -- Multiplicative reasoning: Developing student's shared meanings / Cristina Gomez -- Fraction instruction that fosters multiplicative reasoning / Lee Vanhille, Arthur J. Baroody -- Profound understanding of division of fractions / Alfinio Flores -- Connecting informal thinking and algorithms: the case of division of fractions / Daniel Siebert -- Classroom challenges: Fraction problem; Fraction problem; A fraction activity.

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