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AIP Conference Proceedings, 2017
In this article we address how Realistic Mathematics Education (RME) principles, including the intertwinement and the reality principles, are used to analyze geometry tasks. To do so, we carried out three phases of a small-scale study. First we analyzed four geometry problems – considered as tasks inviting the use of problem solving and reasoning ...
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In this article we address how Realistic Mathematics Education (RME) principles, including the intertwinement and the reality principles, are used to analyze geometry tasks. To do so, we carried out three phases of a small-scale study. First we analyzed four geometry problems – considered as tasks inviting the use of problem solving and reasoning ...
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Algebra, Geometry, Analysis: The Mathematical Mindsets
2021Richard Garfinkle, David Garfinkle
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Computer Algebra Systems and Dynamic Geometry for Mathematical Thinking
2021Marcelo de Carvalho-Borba+4 more
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Algebra, Geometry and Mathematical Physics
2011We discuss the consequences of the Poincaré duality, versus AS-Gorenstein property, for Koszul algebras (homogeneous and non homogeneous). For homogeneous Koszul algebras, the Poincaré duality property implies the existence of twisted potentials which characterize the corresponding algebras while in the case of quadratic linear Koszul algebras, the ...
Makhlouf, Abdenacer+3 more
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ALGEBRAIC GEOMETRY An Introduction to Birational Geometry of Algebraic Varieties (Graduate Texts in Mathematics, 76) [PDF]
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The principle of topological economy in algebraic geometry
2005This part of the lecture is not related to the first part, so it can be understood independently. We start with an example. Example 1. In ℂP n , consider two algebraic varieties X and Y of complementary dimensions. In general position, they intersect in finitely many points. Let [ X ] and [ Y ] be the homology classes realized by the varieties
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Studies in Algebraic Geometry (M.A.A. Studies in Mathematics, Vol. 20).
The American Mathematical Monthly, 1983Kenneth R. Mount, A. Seidenberg
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Categories in Algebra, Geometry and Mathematical Physics
2007Michael Batanin+4 more
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BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES (Cambridge Tracts in Mathematics 134) [PDF]
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MIRROR SYMMETRY AND ALGEBRAIC GEOMETRY (Mathematical Surveys and Monographs 68) [PDF]
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