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catalog abstract "Excellent resource for mathematics educators that emphasizes the importance of understanding fractions, ratios, and proportions as early as elementary school. Also provides classroom challenges.".
catalog contributor b12549527.
catalog contributor b12549528.
catalog created "c2002.".
catalog date "2002".
catalog date "c2002.".
catalog dateCopyrighted "c2002.".
catalog description "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 divisions interpretations / Rose Sinicrope, Harold W. Mick, John R. Kolb -- Developing understanding of ratio and measure as a foundation for slope / Joanne Lobato, Eva Thanheiser --".
catalog description "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 --".
catalog description "Excellent resource for mathematics educators that emphasizes the importance of understanding fractions, ratios, and proportions as early as elementary school. Also provides classroom challenges.".
catalog description "Includes bibliographical references.".
catalog description "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 -- t Developing students' proportional reasoning / 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.".
catalog extent "x, 261 p. :".
catalog hasFormat "Making sense of fractions, ratios, and proportions.".
catalog identifier "0873535197".
catalog isFormatOf "Making sense of fractions, ratios, and proportions.".
catalog isPartOf "Yearbook (National Council of Teachers of Mathematics) ; 2002.".
catalog isPartOf "Yearbook ; 2002".
catalog issued "2002".
catalog issued "c2002.".
catalog language "eng".
catalog publisher "Reston, Va. : National Council of Teachers of Mathematics,".
catalog relation "Making sense of fractions, ratios, and proportions.".
catalog subject "510 s 372.7/2 21".
catalog subject "Fractions Study and teaching (Elementary)".
catalog subject "QA1 .N3 2002 QA137".
catalog subject "Ratio and proportion Study and teaching (Elementary)".
catalog tableOfContents "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 divisions interpretations / Rose Sinicrope, Harold W. Mick, John R. Kolb -- Developing understanding of ratio and measure as a foundation for slope / Joanne Lobato, Eva Thanheiser --".
catalog tableOfContents "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 --".
catalog tableOfContents "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 -- t Developing students' proportional reasoning / 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.".
catalog title "Making sense of fractions, ratios, and proportions : 2002 yearbook / Bonnie Litwiller, George Bright.".
catalog type "text".