Making sense of fractions, ratios, and proportions
By: Bonnie Litwiller, 2002 yearbook editor ; George Bright, general yearbook editor.
Contributors: Litwiller, Bonnie H.; Bright, George W.; National Council of Teachers of Mathematics.
Series: Yearbook -- 2002; Yearbook (National Council of Teachers of Mathematics) -- 2002.
Publisher: National Council of Teachers of Mathematics
Published: 2002
Place of publication: Reston, Va
Language: eng
Number of pages: 261
Subjects: Fractions -- Study and teaching (Elementary); Fractions -- Study and teaching (Middle school); Ratio and proportion -- Study and teaching (Elementary); Ratio and proportion -- Study and teaching (Middle school)
Description: "Emphasizes that fractions, ratios, and proportions are pivotal concepts in the middle school but that their development and understandings begin in the elementary school. Shows the importance of proportional reasoning as a foundation of many applications of mathematics to real life and as an essential element of more sophisticated mathematics (e.g., algebra). Also features a professional development section. The companion booklet presents activities that illustrate some of the ideas in the yearbook as well as activities that go beyond the content of the yearbook itself."--P. [4] of cover of accompanying classroom activities book.
Notes: Includes bibliographical references.
Table of contents: value: Elementary school : introduction / Judith Sowder; value: The development of students' knowledge of fractions and ratios / John P. Smith III; value: Children's development of meaningful fraction algorithms : a kid's cookies and a puppy's pills / Janet M. Sharp, Joe Garofalo, Barbara Adams; value: Organizing diversity in early fraction thinking / Susan B. Empson; value: Using manipulative models to build strong number sense for addition and fractions / Kathleen Cramer, Apryl Henry; value: Young children's growing understanding of fraction ideas / Elena Steencken, Carolyn A. Maher; value: Go ask Alice about multiplication of fractions / Susan B. Taber; value: Examining dimensions of fraction operation sense / DeAnn Huinker; value: Part-whole comparisons with unitizing / Sue Lamon; value: Butterflies and caterpillars : multiplicative and proportional reasoning in the early grades / Patricia Ann Kenney, Mary M. Lindquist, Cristina L. Heffernan; value: Middle school : introduction / Teresa Yazujian; value: Percents and proportion at the center : altering the teaching sequence for rational number / Joan Moss; value: Making explicit what students know about representing fractions / Barbara M. Moskal, Maria E. Magone; value: Using literature as a vehicle to explore proportional reasoning / Denisse R. Thompson, Richard A. Austin, Charlene E. Beckmann; value: Proportional reasoning : one problem, many solutions! / Suzanne Levin Weinberg; value: Using representational contexts to support multiplicative reasoning / Laura B. Kent, Joyce Aronsky, Judy McMonagle; value: Fraction division interpretations / Rose Sinicrope, Harold W. Mick, John R. Kolb; value: Developing understanding of ratio and measure as a foundation for slope / Joanne Lobato, Eva Thanheiser; value: Using technology to teach concepts of speed / Janet Bowers, Susan Nickerson, Garrett Kenehan; value: Professional development : introduction / David Duncan; value: Developing students' proportional reasoning : a Chinese perspective / Jinfa Cai, Wei Sun; value: The development of rational number sense / Irene T. Miura, Jennifer M. Yamagishi; value: Multiplicative reasoning : developing student's shared meanings / Cristina Gomez; value: Fraction instruction that fosters multiplicative reasoning / Lee Vanhille, Arthur J. Baroody; value: Profound understanding of division of fractions / Alfinio Flores; value: Connecting informal thinking and algorithms : the case of division of fractions / Daniel Siebert.