Title page for ETD etd-07092009-100847

Type of Document Master's Thesis
Author Vincent, Christina
Author's Email Address cgrose1@tigers.lsu.edu
URN etd-07092009-100847
Title Ratio and Proportion: Mapping the Conceptual Field
Degree Master of Natural Sciences (M.N.S.)
Department Natural Sciences (Interdepartmental Program)
Advisory Committee
Advisor Name Title
James J. Madden Committee Chair
Frank Neubrander Committee Member
Padmanaban Sundar Committee Member
  • teaching proportional reasoning
  • middle school proportional reasoning
  • teaching ratio and proportion
  • ratio
  • middle school
  • proportional reasoning conceptual field
  • proportional reasoning concept map
  • proportional reasoning
  • ratio and proportion
  • proportion
Date of Defense 2009-07-08
Availability unrestricted
Ratio and proportion are central to the middle school mathematics curriculum, but the full scope and extent of this topic is not described in detail in most state curriculum standards. In this thesis, numerous textbooks from the past one hundred years are sampled, along with several state‟s standards and the Louisiana state comprehensive curriculum. These sources are used to develop a more defined map of ratio and proportion as a conceptual field and a structured collection of problems. Proportional reasoning involves three phases: 1) the comparison of two magnitudes, expressed as ratio or rate, 2) the comparison of two ratios, called a proportion, and 3) the expression of proportional relationships as functions. As we follow this progression, proportional reasoning tasks change accordingly, through ratios, rates, missing-value proportions, similarity situations, and ultimately functions that express proportionality.
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