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Palatnik, Alik; Koichu, Boris – For the Learning of Mathematics, 2015
The paper presents and analyses a sequence of events that preceded an insight solution to a challenging problem in the context of numerical sequences. A threeweek long solution process by a pair of ninth-grade students is analysed by means of the theory of shifts of attention. The goal for this article is to reveal the potential of this theory…
Descriptors: Attention, Grade 9, Attention Control, Educational Theories
Peer reviewedHefendehl-Hebeker, Lisa – For the Learning of Mathematics, 1991
The teaching of negative numbers poses problems at the school level. A historical account of the intellectual difficulties in the evolution of negative numbers and a method of viewing negative numbers as an extension of the number system to help overcome these difficulties are presented. (MDH)
Descriptors: Learning Strategies, Mathematics Education, Mathematics History, Mathematics Instruction
Peer reviewedSteinberg, Heinz – For the Learning of Mathematics, 1989
The question is raised: What comes first: rules of calculation or the meaning of concepts? The pressures on the teacher to teach and simplify knowledge to algorithms are discussed. The relation between conceptual and procedural knowledge in school mathematics and consequences for the teacher's professional knowledge are considered. (DC)
Descriptors: Algorithms, Concept Formation, Decimal Fractions, Elementary School Mathematics
Peer reviewedComiti, Claude; Bessot, Annie – For the Learning of Mathematics, 1987
Teaching sequences designed to develop strategies for comparing numerals in grade two (in France) were analyzed. Children's strategies were noted, and an experiment confirmed underlying misconceptions concerning number. (MNS)
Descriptors: Cognitive Processes, Elementary Education, Elementary School Mathematics, Error Patterns

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