Results 221 to 230 of about 201,103 (244)

The Place of the History and Recreations of Mathematics in Teaching Algebra and Geometry

The Mathematics Teacher, 1923
Longfellow1, in the story of the schoolmaster, says, “There is something divine in the science of numbers. Like God, it holds the sea in the hollow of its hand. It measures the earth; it weighs the stars; it illumines the universe; it is law, it is order, it is beauty,” and the master goes on to say, “and yet we imagine—that is, most of us—that its ...
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Quantum Algebras and Poisson Geometry in Mathematical Physics

2005
Noncommutative 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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Krichever-Novikov algebras, their representations and applications in geometry and mathematical physics

Proceedings of the Steklov Institute of Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fibonacci Numbers and an Area Puzzle: Connecting Geometry and Algebra in the Mathematics Classroom

School Science and Mathematics, 1997
A mathematical puzzle that asks about “missing” area leads to an exploration of the Fibonacci sequence as well as genuine inquiry in plane geometry connected to algebra. This article discusses the inquiry, the concepts, the solution, and an extension that deepens all students’ understanding of connections between algebra and geometry.
Mary M. Sullivan, Regina M. Panasuk
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On the Concept of Curve: Geometry and Algebra, from Mathematical Modernity to Mathematical Modernism

2019
We consider the concept of curve in the context of the transition from mathematical “modernity” to mathematical “modernism,” the transition defined, the article argues, by the movement from the primacy of geometrical to the primacy of algebraic thinking.
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Algebra, Geometry, Analysis: The Mathematical Mindsets

2021
Richard Garfinkle, David Garfinkle
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From geometry to algebra and vice versa: Realistic mathematics education principles for analyzing geometry tasks

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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Computer Algebra Systems and Dynamic Geometry for Mathematical Thinking

2021
Jhony Alexander Villa-Ochoa, Liliana Suárez-Téllez   +1 more
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Some Applications of Mathematical Analysis in Higher Algebra and Analytic Geometry

Advances in Education, 2022
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ALGEBRAIC GEOMETRY An Introduction to Birational Geometry of Algebraic Varieties (Graduate Texts in Mathematics, 76)

Bulletin of the London Mathematical Society, 1983
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