Results 1 to 10 of about 201,103 (244)
Algebra, Geometry, and Mathematical Physics [PDF]
The intention of the AGMF worskhops is to further understanding of the fundamental role of non-commutative and non-associative structures in Mathematics, Theoretical and Mathematical Physics. The Goteborg meeting was dedicated to memory of Professor Isaiah Kantor (1936- 2006).
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A Synergy between History of Mathematics and Mathematics Education: A Possible Path from Geometry to Symbolic Algebra [PDF]
This paper proposes an experimental path aimed at guiding upper secondary school students to overcome that discontinuity, often perceived by them, between learning geometry and learning algebra. This path contributes to making students aware of how the algebraic language, formalized in the most powerful form by Descartes, grafts itself onto the ...
Emilia Florio
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Linking Geometry and Algebra in the School Mathematics Curriculum [PDF]
This chapter focuses on the linking of geometry and algebra in the teaching and learning of mathematics - and how, through such linking, the mathematics curriculum might be strengthened. Through reviewing the case of the school mathematics curriculum in England, together with examples of how the power of geometry can bring contemporary mathematics to ...
Keith Jones
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Perceptual Learning in Mathematics: The Algebra-Geometry Connection [PDF]
Important component of expertise is the rapid pickup complex. task-relevant pattern structure, yet such skills seldom trained explicitly. We report initial results ying principles of perceptual learning to the essing of structure in mathematics, specifically the ection between graphed functions and their symbolic essions.
Ana Beatriz V. e Silva +1 more
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Stone duality between condensed mathematics and algebraic geometry [PDF]
We extend Stone duality to a fully faithful embedding of condensed sets into fpqc sheaves over an arbitrary field, which preserves colimits and finite limits. We study how familiar notions from condensed mathematics/topology and algebraic geometry correspond to each other under this form of Stone duality.
Rok Gregoric
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Metaphors in Mathematics: Introduction and the Case of Algebraic Geometry
Analogies play an essential role in Mathematics. George Lakoff and Rafael E. Nunez have shown in 'Where Mathematics Comes From' that our understanding of basic mathematics is deeply linked to our experience of the world. They claim that we understand mathematics throught Conceptual Metaphors between source domains (for example spatial relationships ...
Mathieu Aubry
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The Department of Mathematics of the University of Pécs, Pollack Mihály Engineering Faculty organized in the year 2003 a conference on the role of CAS and DGS in the Mathematics education. We discuss – based on the authors' abstracts – the conference's activities.
Csaba Sárvári
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Properads in Algebra, Topology, Geometry and Mathematical Physics
Ce mémoire contient un résumé de mes travaux sur le thème des propérades et de leurs applications en algèbre, topologie, géométrie et physique mathématique.
Bruno Vallette
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Unveiling Mathematical Elegance: Exploring The Synergy Between Algebra and Geometry
In today’s dynamic and complex society, the ability to represent mathematical concepts and solve real-world problems is essential for mathematics education students. This study explores how algebraic and geometric representations can be synergized to solve environmental problems commonly faced in everyday life, particularly through the “builder’s ...
Muhammad Aswal Anshari +2 more
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