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University of Illinois at Urbana-Champaign

A study of children's understanding of fraction size and its relationship to proportional reasoning

Abstract

dc:description

One purpose of this study was to investigate children's understanding of fraction size; specifically, their ability to order fractions and to relate the size of a fraction to whole numbers. Other purposes were to examine the relationships between children's understanding of fraction size and their knowledge of the multiplicative relationship between numbers as measured by a proportional-reasoning task and to explore the commonality among children's strategies for tasks involving multiplicative structures.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Education
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Yiu, Tzu-Ta
Contributors dc:contributor
  • Baroody, Arthur J.

Subjects

dc:subject × 2

Rights

dc:rights
Statement dc:rights
  • Copyright 1992 Yiu, Tzu-Ta
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
AAI9215916
(UMI)AAI9215916
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/20187

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Yiu, Tzu-Ta. A study of children's understanding of fraction size and its relationship to proportional reasoning. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/20187