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Robotti, Elisabetta – Educational Studies in Mathematics, 2012
In the field of human cognition, language plays a special role that is connected directly to thinking and mental development (e.g., Vygotsky, "1938"). Thanks to "verbal thought", language allows humans to go beyond the limits of immediately perceived information, to form concepts and solve complex problems (Luria, "1975"). So, it appears language…
Descriptors: Cognitive Processes, Plane Geometry, Researchers, Natural Language Processing
Bodroza-Pantic, O.; Matic-Kekic, Snezana; Jakovljev, Bogdanka; Markovic, Doko – International Journal of Mathematical Education in Science and Technology, 2008
In this paper the didactically-methodological procedure named the MTE-model of mathematics teaching (Motivation test-Teaching-Examination test) is suggested and recommended when the teacher has subsequent lessons. This model is presented in detail through the processing of a nonstandard theme--the theme of decomposition of planes. Its efficiency…
Descriptors: Vocational Schools, Foreign Countries, Control Groups, Models

Rogers, Pat – Mathematical Spectrum, 1972
Criteria for a reasonable axiomatic system are discussed. A discussion of the historical attempts to prove the independence of Euclids parallel postulate introduces non-Euclidean geometries. Poincare's model for a non-Euclidean geometry is defined and analyzed. (LS)
Descriptors: College Mathematics, Geometric Concepts, Mathematical Concepts, Mathematical Logic

Hurd, Spencer P. – Mathematics Teacher, 1988
Establishes that the congruence criteria for polygons with more than three sides (such as ASASA for Quadrilaterals) are easily proved within the scope of the standard high school geometry course. Also argues that elegant applications of these criteria are more easily found once these new criteria are known. (PK)
Descriptors: Geometric Concepts, Geometry, Mathematical Concepts, Mathematical Logic

Thomaidis, Yannis – For the Learning of Mathematics, 1991
Presents an attempt to combine the history of mathematics of ancient Greece with the course on theoretical geometry taught in Greek secondary schools. Three sections present the history of ancient Greek geometry, geometrical constructions using straightedges and compasses, and an application of Ptolemy's theorem in solving ancient astronomy…
Descriptors: Foreign Countries, Geometric Concepts, Geometric Constructions, Integrated Activities