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Direct linkTzur, Ron; Hunt, Jessica – Teaching Children Mathematics, 2015
Often, students who solve fraction tasks respond in ways that indicate inadequate conceptual grounding of unit fractions. Many elementary school curricula use folding, partitioning, shading, and naming parts of various wholes to develop children's understanding of unit and then nonunit fractions (e.g., coloring three of four parts of a pizza and…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Concepts, Concept Formation
Pieper, Edward – Pointer, 1983
The article describes the oral interview, a mathematics assessment technique in which the learning disabled adolescent's thinking stragegies are examined. Both efficient and inefficient thinking strategies related to multiplication are discussed, and implications for instruction considered. (Author/CL)
Descriptors: Cognitive Processes, Evaluation Methods, Interviews, Learning Disabilities
Rittner, Max – Special Education in Canada, 1982
The article reviews the development of mathematics error analysis as a means of diagnosing students' cognitive reasoning. Errors specific to addition, subtraction, multiplication, and division are described, and suggestions for remediation are provided. (CL)
Descriptors: Addition, Cognitive Development, Cognitive Processes, Diagnostic Teaching
Peer reviewedFielker, David S. – For the Learning of Mathematics, 1986
How children perceive doubling and halving numbers is discussed, with many examples. The use of calculators is integrated. The tendency to avoid division if other ways of solving a problem can be found was noted. (MNS)
Descriptors: Calculators, Cognitive Processes, Computation, Division
Davydov, V. V. – Focus on Learning Problems in Mathematics, 1992
Describes the psychological analysis of the instruction of the concept of multiplication in the former Soviet Union. Presents a system of instructional situations in introducing multiplication and the main results of instruction for grade two. (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Concept Formation, Elementary Education
Lampert, Magdalene – 1985
The concept of multiplication is described and illustrated using several different representational systems. A conceptual approach to teaching mathematics is compared with the procedural approach commonly found in the school curriculum. Four different methods of representing the multiplication process with numbers larger than ten are presented:…
Descriptors: Algorithms, Cognitive Processes, Computation, Educational Research
Download full textSowder, Larry – 1992
Recent research suggests that many middle school students approach mathematical story problems with strategies that are not based on possible meanings for the operations, yielding success for one-step problems, but providing a weak background for approaching algebra story problems. This document reports the findings and the materials developed by…
Descriptors: Addition, Cognitive Development, Cognitive Processes, Curriculum Development
