Fraction Instruction That Fosters Multiplicative Reasoning
Vanhille, Lee Stuart
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https://hdl.handle.net/2142/79757
Description
Title
Fraction Instruction That Fosters Multiplicative Reasoning
Author(s)
Vanhille, Lee Stuart
Issue Date
2003
Doctoral Committee Chair(s)
Baroody, Arthur J.
Department of Study
Education
Discipline
Education
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Education, Elementary
Language
eng
Abstract
Also of interest in the experimental instruction is the development of a model for partitive division of fractions, which model can be a valuable tool in understanding and determining unit rates. In partitive division, the task is to find the amount of the first quantity in one unit of the second quantity. For example, in the problems $6 ÷ 2 lbs., $6 ÷ 1 1/2 lbs., and $3/4 ÷ 2/3 lb., the student must determine the cost of one pound. Little work has been done to develop models for such problems.
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