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Peer reviewedCox, L. S. – Arithmetic Teacher, 1975
Types of errors made by children in addition and subtraction are presented and discussed. Suggestions are given for testing, diagnosing, and prescribing for instruction. (MNS)
Descriptors: Addition, Algorithms, Diagnostic Teaching, Elementary Education
Smith, Charles Winston, Jr. – 1968
Reported are the results of a study to determine if specific errors in subtraction occur when students demonstrate ability to apply selected decimal numeration system principles. A secondary purpose was to examine and compare errors made by various subsets of the sample population characterized by grade level, arithmetic achievement, mental…
Descriptors: Achievement, Algorithms, Arithmetic, Doctoral Dissertations
Peer reviewedKilian, Lawrence; And Others – Arithmetic Teacher, 1980
A study to determine if "random" or "careless" errors in multiplication made by individual students take on discernible patterns is described. Implications for teaching are discussed. (MK)
Descriptors: Algorithms, Educational Research, Elementary Education, Elementary School Mathematics
Download full textResnick, Lauren B. – 1984
Research recurrently indicates that children who have difficulty with arithmetic often use systematic routines that yield wrong answers. Recent research has focused less on identifying the most common errors among groups of children and more on analyzing individual children's errors. This paper considers the source of systematic errors in…
Descriptors: Algorithms, Arithmetic, Cognitive Processes, Educational Research
Cox, Linda S. – 1974
Five reports from a 2-year study are presented. Frequencies and descriptions of systematic errors in the four algorithms in arithmetic were studied in upper-middle income, regular, and special education classrooms involving 744 children. Children were screened for adequate knowledge of basic facts and for receiving prior instruction on the…
Descriptors: Addition, Algorithms, Computation, Division
Peer reviewedCox, L. S. – Journal for Research in Mathematics Education, 1975
In a two-year study, frequencies and descriptions of systematic errors in four algorithms in arithmetic were studied in regular and special education classrooms. (Author/SD)
Descriptors: Algorithms, Basic Skills, Elementary Education, Elementary School Mathematics
Burrows, J. K. – 1976
Research on error patterns associated with whole number computation is reviewed. Details of the results of some of the individual studies cited are given in the appendices. In Appendix A, 33 addition errors, 27 subtraction errors, 41 multiplication errors, and 41 division errors are identified, and the frequency of these errors made by 352…
Descriptors: Algorithms, Basic Skills, Computation, Elementary School Mathematics
Omanson, Susan F.; And Others – 1982
This study was designed to follow up earlier work on mapping instruction. The two main goals were to: (1) test the effectiveness of mapping instruction as a general cure for "buggy" subtraction algorithms, and (2) explore two alternative explanations of how this new form of instruction works. It was hypothesized that mapping cures bugs…
Descriptors: Algorithms, Basic Skills, Cognitive Processes, Computation
