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Analyzing and Modeling Arithmetic Errors
John A. Blando, Anthony E. Kelly, Beth R. Schneider and D. Sleeman
Journal for Research in Mathematics Education
Vol. 20, No. 3 (May, 1989), pp. 301-308
Published by: National Council of Teachers of Mathematics
Stable URL: http://www.jstor.org/stable/749518
Page Count: 8
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Thirty-nine seventh-grade students completed an arithmetic test designed to uncover errors involving misunderstandings of (a) operations with whole numbers, (b) grouping symbols, and (c) rules of precedence (order of operations). Both the students' final answers and the intermediate steps for each test item were analyzed, and models to represent students' behaviors were developed. Certain types of errors were common across students. Errors were found to be closely tied to the format of the test item. Variations in the formats of test items that left the underlying computations unchanged exposed some students' superficial understandings of mathematical concepts.
Journal for Research in Mathematics Education © 1989 National Council of Teachers of Mathematics