Masters Thesis

The determination of data-based mastery levels for a hierarchy of basic arithmetic operations

This study was designed to determine specific computation rates for basic addition, subtraction, multiplication, and division facts which may be regarded as mastery levels in that they predict that students who reach those levels will continue to master subsequent skills that comprise the basic computation hierarchy. Rated assessments of eight basic arithmetic operations were taken of 191 fifth, sixth, and seventh grade students. Data from the rated assessments were programmed into a CDC 3150 series computer and analyzed by Guttman Scalogram Analysis. Results from the Scalogram Analysis revealed the most optimum hierarchy as well as specific mastery levels for the arithmetic operations which were assessed.

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