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Olteanu, Lucian – International Journal of Mathematical Education in Science and Technology, 2014
This paper contains a discussion of how the concept of critical aspects and the principle of compositionality can provide a powerful tool to analyse and understand the communications that occur in the classroom. It is grounded in data collected in a longitudinal study. The content chosen is algebra. It is argued that the critical aspects and the…
Descriptors: Classroom Communication, Mathematics Instruction, Algebra, Longitudinal Studies
Olteanu, Constanta; Olteanu, Lucian – International Journal of Mathematical Education in Science and Technology, 2013
This article deals with two prominent topics in the field of mathematics education: the communication in mathematics and its teaching and learning and the continuous professional development of mathematics teachers. In this article, a framework is proposed for analysing the effectiveness of communication in mathematics classrooms. The presentation…
Descriptors: Mathematics Instruction, Classroom Communication, Mathematics Teachers, Preschool Teachers
Jones, Dustin L. – International Journal of Mathematical Education in Science and Technology, 2011
This article was inspired by a set of 12 cylindrical cups, which are volumetrically indexed; that is to say, the volume of cup "n" is equal to "n" times the volume of cup 1. Various sets of volumetrically indexed cylindrical cups are explored. I demonstrate how this children's toy is ripe for mathematical investigation, with connections to…
Descriptors: Calculus, Mathematics Instruction, Investigations, Geometry

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