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Byrd, James L., III; Bossé, Michael J.; Spurr, Michael J. – International Journal of Mathematical Education in Science and Technology, 2021
Often, straightforward notions from one mathematical domain, when altered even slightly, can become rich and rewarding investigations involving numerous additional domains -- particularly when the investigation includes rigorous proof. This study begins with a familiar high school geometry problem (namely finding the circumcentre of a triangle),…
Descriptors: High School Students, Secondary School Mathematics, Geometric Concepts, Mathematics Skills
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Peña 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
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Grigoropoulos, Jenny E. – International Journal of Progressive Education, 2019
Business ethics is a highly discussed and debated subject in today's corporate and business world, as well as in educational and academic circles. There are certain parameters, which influence the extensive level and degree to which ethics has been analyzed by scholars and researchers in recent years, such as globalization, technology, intangible…
Descriptors: Foreign Countries, Middle School Students, Blindness, Concept Formation
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Perry, Patricia; Camargo, Leonor; Samper, Carmen; Sáenz-Ludlow, Adalira; Molina, Óscar – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
To interpret in detail the meaning-making in the classroom and the corresponding teacher semiotic mediation, we have resorted to Peirce's triadic ign theory, interpreted by Sáenz-Ludlow and Zellweger. We present an example of the use of a few elements of that theory in the analysis of a classroom episode in which meaning is constructed with the…
Descriptors: Mathematics Instruction, Plane Geometry, Preservice Teachers, Preservice Teacher Education
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Miyakawa, Takeshi; Winslow, Carl – Educational Studies in Mathematics, 2009
In this paper, we analyze and compare two didactical designs for introducing primary school pupils to proportional reasoning in the context of plane polygons. One of them is well-documented in the literature; the other one is based on our own data and is accordingly presented and discussed in more detail in this paper. The two designs come from…
Descriptors: Foreign Countries, Mathematics Instruction, Research and Development, Theory Practice Relationship
Cozza, Barbara; Foley, Mary; Laboranti, Carol – Online Submission, 2009
Trends in International Mathematics and Science Study raised the concern that the United States (US) mathematics teachers place less emphasis on topics and teach a variety of content strands (Goldsmith, Mark & Kantrov, 2000; Kerachsky, 2008). The overall pattern in the US mathematics classrooms today is that primary and upper elementary…
Descriptors: Classrooms, Grade 6, Grade 4, Mathematics Teachers
United States Bureau of Education, Department of the Interior, 1911
The work of this committee has been done in large part by three subcommittees, as follows: (1) On men's colleges; (2) On women's colleges; and (3) On coeducational colleges. The facts presented in these reports have been gathered from 60 or more leading colleges by the Bureau of Education through the use of a questionnaire, and have been…
Descriptors: Undergraduate Students, Criticism, College Mathematics, Inferences