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Direct linkMills, Terence; Sacrez, Aimé – Australian Mathematics Education Journal, 2020
Thomas Kuhn (1962/2012) introduced the term "paradigm shift" to the scientific literature to describe how knowledge in science develops. The aims of this article are to identify paradigm shifts, or revolutions, that have occurred in mathematics, and to discuss their relevance to teaching mathematics in schools. The authors argue that…
Descriptors: Mathematics Instruction, Cultural Differences, Models, Change
Fosnot, Catherine Twomey; Jacob, Bill – National Council of Teachers of Mathematics, 2010
This book provides a landscape of learning that helps teachers recognize, support, and celebrate their students' capacity to structure their worlds algebraically. It identifies the models, contexts, and landmarks that facilitate algebraic thinking in young students and provides insightful and practical methods for teachers, math supervisors, and…
Descriptors: Mathematics Education, Elementary School Mathematics, Investigations, Number Systems
Hierarchical Classes Models for Three-Way Three-Mode Binary Data: Interrelations and Model Selection
Ceulemans, Eva; Van Mechelen, Iven – Psychometrika, 2005
Several hierarchical classes models can be considered for the modeling of three-way three-mode binary data, including the INDCLAS model (Leenen, Van Mechelen, De Boeck, and Rosenberg, 1999), the Tucker3-HICLAS model (Ceulemans,VanMechelen, and Leenen, 2003), the Tucker2-HICLAS model (Ceulemans and Van Mechelen, 2004), and the Tucker1-HICLAS model…
Descriptors: Test Items, Models, Vertical Organization, Emotional Response
Download full textBergeron, Jacques C., Ed.; And Others – 1987
The Proceedings of PME-XI has been published in three separate volumes because of the large total of 161 individual conference papers reported. Volume I contains four plenary papers, all on the subject of "constructivism," and 44 commented papers arranged under 4 themes. Volume II contains 56 papers (39 commented; 17 uncommented)…
Descriptors: Addition, Affective Behavior, Algebra, Arithmetic
