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Identification of Error Types in Preservice Teachers' Attempts to Create Fraction Story Problems for Specified Operations
Author(s) -
McAllister Cheryl J.,
Beaver Cheryl
Publication year - 2012
Publication title -
school science and mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.135
H-Index - 2
eISSN - 1949-8594
pISSN - 0036-6803
DOI - 10.1111/j.1949-8594.2011.00122.x
Subject(s) - fraction (chemistry) , set (abstract data type) , identification (biology) , computer science , expression (computer science) , mathematics education , error analysis , work (physics) , type i and type ii errors , mathematics , statistics , programming language , engineering , mechanical engineering , chemistry , botany , organic chemistry , biology
The purpose of this research was to determine if recognizable error types exist in the work of preservice teachers required to create story problems for specific fraction operations. Students were given a particular single‐operation fraction expression and asked to do the calculation and then create a story problem that would require the use of both the expression and calculation to answer the story problem. Distinct error types, determined by mathematical and grammatical characteristics, were identified by the researchers. These error types were then used to analyze an additional set of work samples to determine frequency rates of error types. Future research will involve evaluating the efficacy of specific instructional methods with the goal of reducing the frequency of certain error types.