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Download full textPeña Acuña, Cristian Andrey; Rigo-Lemini, Mirela – North American Chapter of the International Group for the Psychology of Mathematics Education, 2020
The document presents a set of categories for the analysis of the conceptualization of the congruence of polygons--a central theme in school mathematics--and details the application of the analytical tools used, derived from Grounded Theory, in this construction. This set of categories is called 'Interpretive Model of the Conceptualization of…
Descriptors: Geometric Concepts, Plane Geometry, Concept Formation, Models
Totikova, Guldana A.; Yessaliyev, Aidarbek A.; Madiyarov, Nurlybai K.; Medetbekova, Nurgul – European Journal of Contemporary Education, 2020
The use of planar and volumetric geometric figures in the form of didactic games and exercises, the participants in the experiment showed a significant improvement in the results of the level of spatial representation compared with the control group. The methodology of the use of didactic games and exercises with geometric figures showed the…
Descriptors: Thinking Skills, Skill Development, Spatial Ability, Visualization
Direct linkWest, John – Australian Primary Mathematics Classroom, 2018
The importance of mathematical reasoning is unquestioned and providing opportunities for students to become involved in mathematical reasoning is paramount. The open-ended tasks presented incorporate mathematical content explored through the contexts of problem solving and reasoning. This article presents a number of simple tasks that may be…
Descriptors: Mathematics Instruction, Mathematical Logic, Problem Solving, Fractions
Sandoval, Ivonne; Possani, Edgar – Educational Studies in Mathematics, 2016
The purpose of this paper is to present an analysis of the difficulties faced by students when working with different representations of vectors, planes and their intersections in R[superscript 3]. Duval's theoretical framework on semiotic representations is used to design a set of evaluating activities, and later to analyze student work. The…
Descriptors: Models, Semiotics, Undergraduate Students, Higher Education
