Search results for "Elementary geometry"
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Pieri’s 1900 Point-and-Motion Memoir
2021
This chapter contains an English translation of Mario Pieri’s 1900a memoir, On Elementary Geometry as a Hypothetical Deductive System: Monograph on Point and on Motion.1 By elementary geometry, Pieri meant Euclidean geometry as taught then in elementary courses, except for the theorems dependent on the Euclidean parallel axiom.
Use of Language in Elementary Geometry by Students and Textbooks
1996
This chapter presents some results of a study on the definitions that appear in the Spanish textbooks for Primary School (Jaime, Chapa, and Gutierrez, 1992). Its aim is to point out the errors in the statements of definitions and inconsistent or inappropriate uses of definitions made in individual textbooks, or in series of textbooks. This study concerned geometry and, more specifically, triangles and quadrilaterals. Most of the problems that arose were strongly related to the understanding and use of language.
A continuing debate in elementary geometry: the Simson–Wallace line and its many generalisations
2016
For some years now the importance has been appraised of demonstrating elementary geometry to pupils and future teachers through interactive geometry software. This fits within a view of the teaching of geometry that stresses a hands-on approach, thanks to which it is possible to teach the subject via historical syllabi, touching on ideas from different origins and of a transversal nature. The debate about the role of elementary geometry in the last 30 years is connected to this, with contributions by scholars such as Yaglom, Scimemi and Betti. In the perspective of following a sequence of elementary geometry constructions historically connected with each other, we suggest a path that analys…