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Callahan, Leroy G.; Charles, Desiree – Focus on Learning Problems in Mathematics, 1985
Previous studies indicate that many early elementary school children have the misconception that whole number subtraction is a commutative operation. The degree and character of this subtraction error was investigated in this longitudinal study. Results obtained from three groups of students with different number abilities provided further…
Descriptors: Arithmetic, Cognitive Processes, Elementary Education, Elementary School Mathematics
Markovits, Zvia; Sowder, Judith T. – Focus on Learning Problems in Mathematics, 1991
Discussed are students' understandings of the relationship between fraction and decimal interpretations of rational numbers, where both interpretations are represented symbolically. The methodology employed in this study, interviews, results, and a discussion of the implications of the results are presented. (CW)
Descriptors: Arithmetic, Communication (Thought Transfer), Computation, Decimal Fractions
Nik Pa, Nik Azis – Focus on Learning Problems in Mathematics, 1989
Concepts of fractions from an adult perspective as well as from a child's perspective are examined. Types of students' schemes for some terms related to fractions are reported. (YP)
Descriptors: Arithmetic, Concept Formation, Elementary Education, Elementary School Mathematics
Ross, Sharon H. – Focus on Learning Problems in Mathematics, 1990
The 5-stage model of Ross was used to examine the role of instruction in facilitating children's acquisition of place value knowledge. Compares children from 2 samples on 10 tasks designed to reveal their thinking about place value. Discusses implications for theory and classroom. (YP)
Descriptors: Arithmetic, Elementary Education, Elementary School Mathematics, Mathematical Concepts
Davydov, V. V.; TSvetkovich, ZH. – Focus on Learning Problems in Mathematics, 1991
Discussed are the background and implementation of a method of teaching fractions to primary children referred to as "The Visual Concept of Fractions." The advantages and criticisms of the use of this method are stressed. (CW)
Descriptors: Arithmetic, Communication (Thought Transfer), Computation, Decimal Fractions
Tirosh, Dina; Graeber, Anna O. – Focus on Learning Problems in Mathematics, 1990
Discussed are preservice elementary teachers' misconceptions and inconsistent beliefs about multiplication and division with decimals. Sources of inconsistencies and recommendations for overcoming inconsistencies are included. (KR)
Descriptors: Abstract Reasoning, Arithmetic, Cognitive Development, Cognitive Structures