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Palatnik, Alik; Koichu, Boris – For the Learning of Mathematics, 2019

This study aims to explore a phenomenon of a one-off manifestation of mathematical creativity on the part of a student, against the background of her normative and not especially creative behavior--a flash of creativity. We seek to elaborate on this phenomenon in terms of the 4P (person, press, process and product) model of creativity. Namely,…

Descriptors: Creativity, Mathematics Instruction, Models, Personality Traits

Kontorovich, Igor' – For the Learning of Mathematics, 2018

How do students cope with and make sense of polysemy in mathematics? Zazkis (1998) tackled these questions in the case of 'divisor' and 'quotient'. When requested to determine the quotient in the division of 12 by 5, some of her pre-service teachers operated in the domain of integers and argued for 2, while others adhered to rational numbers and…

Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Arithmetic

Peer reviewed

Hazzan, Orit; Leron, Uri – For the Learning of Mathematics, 1996

Explores (n=113) computer science majors' understanding of Lagrange's Theorem (the order of a subgroup divides the order of a finite group), its converse, and its applications. (SW)

Descriptors: Foreign Countries, Higher Education, Mathematics Instruction, Misconceptions

Peer reviewed

Fischbein, Efraim; And Others – For the Learning of Mathematics, 1990

Described is research which sought to prove the hypothesis that mental models tend to preserve their autonomy with regard to the originals they are meant to represent. The results of this investigation involving 200 Israeli students are presented. (CW)

Descriptors: Cognitive Structures, Foreign Countries, Geometry, Learning Processes

Peer reviewed

Arcavi, Abraham; And Others – For the Learning of Mathematics, 1987

Described is the development and implementation of a course on the history of irrational numbers for inservice mathematics teachers in Israel. Some of the materials included in the course are discussed. (RH)

Descriptors: College Mathematics, Course Objectives, Higher Education, Mathematics