Geometry Essays

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Geometric Thinking

Students’ Geometric Thinking 8 CHAPTER 1 Introduction In the last 20 years, the perception of learning as internalization of knowledge is criticized and problemized in mathematics education society (Lave & Wenger, 1991; Sfard, 2000; Forman & Ansell, 2001). Lave and Wenger (1991) describe learning as a process of “increasing participation in communities of practices” (p.49). […]

Pages: 26 Words: 7715 Topics: Curriculum, Epistemology, Geometry, Learning, Problem Solving, Research, Space

Axial Stresses

An analysis of the state of stresses generated by torsion in twisted non-circular bars Abstract One of the main problems that must be solved in the design of the machine components stressed in torsion is to establish their optimum shapes and dimensions in order to resist for a given twisting load. Also, in the case […]

Pages: 12 Words: 3697 Topics: Geometry, Mechanical Engineering, Mechanics, Space, Stress
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Geometry in Everyday Life

Geometry in everyday life Geometry was thoroughly organized in about 300bc, when the Greek mathematician, Euclid gathered what was known at the time; added original work of his own and arranged 465 propositions into 13 books, called Elements. Geometry was recognized to be not just for mathematicians. Anyone can benefit from the basic learning of […]

Pages: 2 Words: 574 Topics: Geometry, Space

Descartes’ Influence

The philosophical and mathematical advancements sparked by Rene Descartes, a French philosopher of the 17th century and Scientific Revolution, contributed to many of the main ideas seen currently in geometry. He is attributed with the development of influential ideas, theorems, and formulas in modern geometry, despite his ideas being from centuries ago. Arguably some of […]

Pages: 6 Words: 1698 Topics: Algebra, Geometry, Rene Descartes

An Analytical Genius René Descartes

René Descartes was an analytical genius. He conceived and articulated ideas about the nature of knowledge that were essential to the Enlightenment and created the philosophical underpinnings for the development of modern science, which included the idea that laws of nature are constant and are sufficient to explain natural phenomena. Descartes felt that truth was […]

Pages: 5 Words: 1471 Topics: Epistemology, Geometry, Metaphysics, Rene Descartes

Rene Descartes and Mathematics

Rene Descartes was born in La Haye, France on March 31, 1596. Descartes had a brilliant mind and was intensely educated. He was the youngest of 3 children. His mother died within his first year of life. Due to his passing of his mother, his father decides to send the children to live with their […]

Pages: 1 Words: 377 Topics: Algebra, Epistemology, Geometry, Rene Descartes
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