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Some Cognitive Factors as Causes of Mistakes in the Addition of Fractions.
Peer reviewed Peer reviewed
Vinner, Shlomo; And Others – Journal for Research in Mathematics Education, 1981
Common mistakes pupils make when adding fractions are categorized and analyzed. (MP)
Descriptors: Algorithms, Cognitive Processes, Error Patterns, Fractions
A Comparison of Achievement and Attitudes of Students Using Conventional or Calculator-Based Algorithms for Operations on Positive Rational Numbers in Ninth-Grade General Mathematics
Peer reviewed Peer reviewed
Gaslin, William L. – Journal for Research in Mathematics Education, 1975
Descriptors: Algorithms, Attitudes, Calculators, Fractions
Retroactive Interference of Similar Methods to Teach Translation of Base Systems in Mathematics
Peer reviewed Peer reviewed
Barszcz, Edward L.; Gentile, J. Ronald – Journal for Research in Mathematics Education, 1976
When two methods of transforming numbers from one base to another were taught sequentially, the first interfered with learning of the second. (SD)
Descriptors: Algorithms, Instruction, Learning, Mathematics Education
A Comparison of Two Methods of Column Addition
Peer reviewed Peer reviewed
Wheatley, Grayson H. – Journal for Research in Mathematics Education, 1976
Two methods of adding columns of single digits were compared in terms of the speed and accuracy with which sums are produced. The direct method (successive addition) was found to be better than the method of looking for combinations which sum to ten. (SD)
Descriptors: Addition, Algorithms, Elementary Education, Elementary School Mathematics
Systematic Errors in the Four Vertical Algorithms in Normal and Handicapped Populations
Peer reviewed Peer reviewed
Cox, 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
Analyzing and Modeling Arithmetic Errors.
Peer reviewed Peer reviewed
Blando, John A.; And Others – Journal for Research in Mathematics Education, 1989
Seventh-grade students were tested to uncover arithmetic errors. Answers and intermediate steps were analyzed and models to represent students' behavior were developed. Certain errors were common across students. Others were tied to the format of the test item. Some superficial understandings of mathematical concepts were exposed. (Author/DC)
Descriptors: Algorithms, Arithmetic, Computation, Error Patterns