Results 31 to 40 of about 1,438,246 (328)

Making Euclidean geometry compulsory: Are we prepared?

open access: yesPerspectives in Education, 2010
This study investigated the attitude towards, as well as the level of understanding of Euclidean geometry in pre-service mathematics education (PME) students.
Sonja van Putten   +2 more
doaj   +3 more sources

The Challenges of South African Teachers in Teaching Euclidean Geometry

open access: yes, 2020
The current study identifies challenges confronting teachers in the teaching of Euclidean geometry in schools. This qualitative case study purposefully selected ten schools situated in the Motheo District of Education, Free State, South Africa.  Data was
S. A. Tachie
semanticscholar   +1 more source

Boxing Partula

open access: yesSubstantia, 2022
The comprehension of form generally assumes a euclidean three-dimensional perspective. I argue here that non-euclidean geometry has much to offer in understand­ing structures of atomic crystals, molecular liquid crystals and related mesoporous inorganic
Stephen Hyde
doaj   +1 more source

Conformal Powers of the Laplacian via Stereographic Projection [PDF]

open access: yes, 2007
A new derivation is given of Branson's factorization formula for the conformally invariant operator on the sphere whose principal part is the k-th power of the scalar Laplacian. The derivation deduces Branson's formula from knowledge of the corresponding
Graham, C. Robin
core   +4 more sources

Statics and kinematics of frameworks in Euclidean and non-Euclidean geometry [PDF]

open access: yesEighteen Essays in Non-Euclidean Geometry, 2017
This is a survey article on the infinitesimal rigidity of frameworks in Euclidean, hyperbolic, and spherical geometry. We discuss the equivalence of the static and kinematic formulations of the infinitesimal rigidity, the projective interpretation of ...
Ivan Izmestiev
semanticscholar   +1 more source

NeutroGeometry & AntiGeometry are alternatives and generalizations of the Non-Euclidean Geometries [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric spaces, by founding the NeutroGeometry & AntiGeometry.
Florentin Smarandache
doaj   +1 more source

Partialy Paradoxist Smarandache Geometries [PDF]

open access: yes, 1996
A paradoxist Smarandache geometry combines Euclidean, hyperbolic, and elliptic geometry into one space along with other non-Euclidean behaviors oflines that would seem to require a discrete space.
Iseri, Howard
core   +1 more source

On Angular Measures in Axiomatic Euclidean Planar Geometry

open access: yesMeasurement Science Review, 2022
We address the issue of angular measure, which is a contested issue for the International System of Units (SI). We provide a mathematically rigorous and axiomatic presentation of angular measure that leads to the traditional way of measuring a plane ...
Grötschel Martin   +3 more
doaj   +1 more source

Studying the status of fractal geometry in art and its appearance in artwork [PDF]

open access: yesپیکره, 2015
Euclid was one of the first who attempted to explain natural phenomena in terms of mathematical concepts. His efforts were called Euclidean geometry.
Mahtab Mobini, Nooshin Fatholahi
doaj   +1 more source

An Exploration of Learners’ Understanding of Euclidean Geometric Concepts: A Case Study of Secondary Schools in the OR Tambo Inland District of the Eastern Cape [PDF]

open access: yesE-Journal of Humanities, Arts and Social Sciences
A major concern in South Africa is the poor performance of learners in mathematics, particularly in geometry. This paper therefore sought to explore the learners’ understanding of Euclidean geometric concepts.
Thabisa Maqoqa
doaj   +1 more source

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