Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 37 for “"Euclidean Geometry"”.
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Secondary preservice teachers' understanding of Euclidean geometry
1 PDF file (vii, 125 pages)
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Application of geogebra on euclidean geometry in rural high schools - Grade 11 learners
… in improving poor performance in respect of Euclidean geometry or geometry of the circle. Students’ interests, in learning about circle geometry in mathematics, are also being tested. GeoGebra is an innovative, dynamic mathematics software which integrates algebra, geometry and calculus to …
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Dynamic Geometry Environment And Its Relation To Thai Students’ Higher-Order Thinking: Reasoning In Euclidean Geometry
Since its introduction in the late 1980s, Dynamic Geometry Software (DGS) has become one of the most innovative tools in mathematics education. It is defined as graphical software, where geometric figures can be constructed with pre-defined relationships, which will retain when the figures are …
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Euclidean geometry problem-solving using the geometer’s sketchpad: a focus on national certificate vocational level 4 students
… (NCV) level 4 students with problem solving in geometry. NCV level 4 students continually underperform in Euclidean geometry since they perceive it as a difficult section of mathematics. As a result, the researcher saw the need to study the use of GSP in the teaching of geometry. Problem solving …
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Modelos para geometria hiperbólica.
… description of the discovery of a type of non-Euclidean geometry, namely the hyperbolic geometry. Featuring some of their properties and that the models represent.
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Foundations of geometry
Geometry has been called the science of in-direct measurement, and as such is founded on certain definitions, postulates, and some assumptions or axioms which are said to be self-evident. It is a physical science idealized. The oldest and best known form of this science is the Euclidean Geometry …
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The hyperboloid model of hyperbolic geometry
… and develop the hyperboloid model of Hyperbolic Geometry. In order to do that, some time is spent on Neutral Geometry as well as Euclidean Geometry; these are used to build several models of Hyperbolic Geometry. At this point the hyperboloid model is introduced, related to the other models …
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The hyperboloid model of hyperbolic geometry
… and develop the hyperboloid model of Hyperbolic Geometry. In order to do that, some time is spent on Neutral Geometry as well as Euclidean Geometry; these are used to build several models of Hyperbolic Geometry. At this point the hyperboloid model is introduced, related to the other models …
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Geometric, Algebraic, and Topological Connections in the Historical Sphere of the Platonic Solids
… of mathematical development that have connected Euclidean geometry, non-commutative algebra and topology in important ways.
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The Role of Geometry in Wordsworth's "Science of Feelings"
… as imaginatively reprocessing the discipline of geometry through poetry, or what he refers to as a “science of feelings.” Despite the many developments occurring in the realm of mathematics in the eighteenth century, Euclid’s Elements remained the primary source for math and logic in secondary …
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A History of Complex Simple Lie Algebras
… the same time, Wilhelm Killing’s work on non-Euclidean geometry encountered related topics. As mathematicians recognized this as a division of abstract algebra, the area became known as “continuous transformation groups," but we now refer to them as Lie groups.</p> <p>Patterns and structures …
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Discovering and Applying Geometric Transformations: Transformations to Show Congruence and Similarity
… of how transformations are the foundation for Euclidean geometry and begin to lay a foundation for the basics of rigid motion in the plane, with or without the use of coordinates. The results supported the claim that teachers’ transformation content knowledge needs to be deepened overall and in …
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Morphogenesis and ecology as a process of architecture : sea sand management strategies at Hout Bay
… that most manmade objects are created through Euclidean geometry, where form is derived and simplified through a mathematic process, whereas nature develops from adaptation and natural forces that has no limitation and is formed in an immensely complex manner. These two different processes …
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Lobachevski Illuminated: Content, Methods, and Context of the Theory of Parallels
… and began to explore the world's first non-Euclidean geometry. This crucial development in the history of mathematics was not recognized as such in his own lifetime. When his work finally found a sympathetic audience in the late 19th century, it was reinterpreted in the light of various …
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Lobachevski Illuminated: Content, Methods, and Context of the Theory of Parallels
… and began to explore the world's first non-Euclidean geometry. This crucial development in the history of mathematics was not recognized as such in his own lifetime. When his work finally found a sympathetic audience in the late 19th century, it was reinterpreted in the light of various …
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Impact of national senior certificate examination diagnostic report on learner performance in mathematics
… performers and high performers. Trigonometry, Euclidean Geometry and Counting Principle were some of the most challenging topics in Grade 12 Mathematics that were identified from the NSCEDR. Based on these results, it was recommended that the NSCEDR should be readily available to all teachers …
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Cosmographic Origins for a New Classicism
… of the Renaissance or of classical Greece. Non-Euclidean geometry and the math of higher dimensional space begin to break free of their abstract character as these symbolic disciplines now inform and reconcile the reality of cosmic space. It is therefore appropriate to understand the cosmography …
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The impact of using technology through cooperative learning on learners’ performance on grade 11 circle geometry
Euclidean geometry was recently re-introduced as a compulsory topic in the Mathematics Curriculum for learners in the Further Education and Training (FET) band in 2012. The diagnostic analysis reports on the National Senior Certificate (NSC) Mathematics Paper 2 examinations since 2014 has …
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Conjecturing in dynamic geometry: A model for conjecture-generation through maintaining dragging
… is to study aspects of the impact of Dynamic Geometry Systems (DGS) in the process of producing conjectures in Euclidean geometry. Previous research has identified and classified a set of dragging schemes spontaneously used by students. Building on these findings, the study focuses on …
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Linear Colour Image Processing in Hypercomplex Algebra guided by Genetic Algorithms
… out in projective 4D RGB colour space instead of Euclidean 3D RGB colour space as is conventionally done in quaternion-based CIP. In this new approach, colour image pixel values are mapped as projective vectors in form of full quaternions using homogeneous coordinates instead of Euclidean vectors …
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