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INFINITE DIMENSIONAL LIE ALGEBRAS, VERTEX ALGEBRAS AND W-ALGEBRAS(Developments of Cartan Geometry and Related Mathematical Problems)openaire
An Algebraic Foundation for Object-Oriented Euclidean Geometry (Innovative Teaching of Mathematics with Geometric Algebra)openaire
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Algebra and geometry; mathematics or science?
The Mathematics Teacher, 1961For the nonspecialist in mathematics, which subject makes the greater educational contribution, algebra or geometry?
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Self-regulated Learning and Mathematics Instruction of Algebra I, Geometry, and Algebra II
2018The benefits of self-regulated learning have been well documented in relation to various academic content areas. Students who are successful in their academic learning are likely to initiate learning processes and monitor their actions, thinking, and emotions until they complete tasks.
Peggy P. Chen +2 more
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The Mathematics Teacher, 1988
This article is the second of two articles reporting on the seventh-grade and eleventh-grade results of the fourth mathematics assessment of the National Assessment of Educational Progress (NAEP) administered in 1986. The first article (Brown et al.
Catherine A. Brown +5 more
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This article is the second of two articles reporting on the seventh-grade and eleventh-grade results of the fourth mathematics assessment of the National Assessment of Educational Progress (NAEP) administered in 1986. The first article (Brown et al.
Catherine A. Brown +5 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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Quantum Algebras and Poisson Geometry in Mathematical Physics
2005Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances by M. Karasev Algebras with polynomial commutation relations for a quantum particle in electric and magnetic fields by M. Karasev and E. Novikova Poisson structures and linear Euler systems over symplectic manifolds by Y. Vorobjev Poisson equivalence over a symplectic
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Metaphors in Mathematics: Introduction and the Case of Algebraic Geometry
SSRN Electronic Journal, 2009Analogies 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 ...
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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 ...
openaire +1 more source