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A Synergy between History of Mathematics and Mathematics Education: A Possible Path from Geometry to Symbolic Algebra [PDF]

open access: yesEducation Sciences, 2020
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 ...
E. Florio
openaire   +4 more sources

Surveys in Contemporary Mathematics: Algebraic geometry over Lie algebras [PDF]

open access: yes, 2006
This is a survey paper on Alegbraic Geometry over Lie ...
I. Kazachkov
semanticscholar   +1 more source

Algebra, Geometry, and Mathematical Physics 2010 [PDF]

open access: yesJournal of Physics: Conference Series, 2012
This proceedings volume presents results obtained by the participants of the 6th Baltic?Nordic workshop 'Algebra, Geometry, and Mathematical Physics (AGMP-6)' held at the Sven Lov?n Centre for Marine Sciences in Tj?rn?, Sweden on October 25?30, 2010. The Baltic?Nordic Network AGMP 'Algebra, Geometry, and Mathematical Physics' http://www.agmp.eu was ...
A Stolin   +3 more
openaire   +1 more source

Towards Massively Parallel Computations in Algebraic Geometry [PDF]

open access: yesFoundations of Computational Mathematics, 2018
Introducing parallelism and exploring its use is still a fundamental challenge for the computer algebra community. In high-performance numerical simulation, on the other hand, transparent environments for distributed computing which follow the principle ...
J. Böhm   +5 more
semanticscholar   +1 more source

Algebraic Geometry Tools in Systems Biology

open access: yes, 2020
Many models in the sciences and engineering are expressed as solution sets to systems of polynomial equations, that is, as affine algebraic varieties. This is a basic notion in algebraic geometry, a vibrant area of mathematics which is particularly good ...
A. Dickenstein
semanticscholar   +1 more source

Tropical Geometry and Machine Learning

open access: yesProceedings of the IEEE, 2021
Tropical geometry is a relatively recent field in mathematics and computer science, combining elements of algebraic geometry and polyhedral geometry.
P. Maragos   +2 more
semanticscholar   +1 more source

Algebra, Geometry, and Mathematical Physics [PDF]

open access: yesJournal of Generalized Lie Theory and Applications, 2008
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).
openaire   +1 more source

Perceptual Learning in Mathematics: The Algebra-Geometry Connection [PDF]

open access: yes, 2020
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.
Silva, Ana Beatriz V. e   +1 more
openaire   +1 more source

Algebraic Geometry between Noether and Noether — a forgotten chapter in the history of Algebraic Geometry

open access: yesRevue d'Histoire des Mathematiques, 2018
Mathematicians and historians generally regard the modern period in algebraic geometry as starting with the workof Kroneck er and Hilbert. But the relevant papers by Hilbert are often regarded as reformulating invariant theory, a much more algebraic ...
J. Gray
semanticscholar   +1 more source

GEOMETRY REPRESENTATION TO DEVELOP ALGEBRAIC THINKING: A RECOMMENDATION FOR A PATTERN INVESTIGATION IN PRE-ALGEBRA CLASS

open access: yes, 2019
The present study is a part of design research in local instructional theory in a pre-algebraic lesson using the Realistic Mathematics Education (RME) approach.
R. Apsari   +4 more
semanticscholar   +1 more source

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