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Yong Li – ProQuest LLC, 2024
Geometry processing holds a foundational position within the realm of computer graphics, with advancements in this field regularly published at SIGGRAPH annually. The journey from writing the paper to implementing the algorithms is a meticulous and error-prone process, demanding significant dedication and attention to detail. Authors frequently…
Descriptors: Geometry, Mathematics Instruction, Programming Languages, Computer Software
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Davis, Anna A.; Joswick, Candace – Mathematics Teacher, 2018
The correct use of visual perspective is one of the main reasons that virtual reality environments and realistic works of art look lifelike. Geometric construction techniques used by artists to achieve an accurate perspective effect were developed during the Renaissance. With the rise of computer graphics, translating the geometric ideas of 600…
Descriptors: Mathematics Instruction, Computer Graphics, Computer Simulation, Teaching Methods
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Hoyles, Celia – Research in Mathematics Education, 2018
This article argues that mathematical knowledge, and its related pedagogy, is inextricably linked to the tools in which the knowledge is expressed. The focus is on digital tools and the different roles they play in shaping mathematical meanings and in transforming the mathematical practices of learners and teachers. Six categories of digital…
Descriptors: Mathematics Instruction, Teaching Methods, Educational Change, Educational Technology
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Kaneko, Masataka; Yamashita, Satoshi; Kitahara, Kiyoshi; Maeda, Yoshifumi; Nakamura, Yasuyuki; Kortenkamp, Ulrich; Takato, Setsuo – International Journal for Technology in Mathematics Education, 2015
Dynamic Geometry Software (DGS) is a powerful tool which enables students to move geometric objects interactively. Through experimental simulations with DGS, mathematical facts and background mechanisms are accessible to students. However, especially when those facts and mechanisms are complicated, it is not so easy for some students to record and…
Descriptors: Computer Software, Geometry, Technology Uses in Education, Educational Technology
Méxas, José Geraldo Franco; Bastos Guedes, Karla; da Silva Tavares, Ronaldo – International Association for Development of the Information Society, 2014
The representation of figures in mongean projection (double system planned orthographic projection used in the studies of Descriptive Geometry), specially when placed in a particular situation in relation to the projection plans, possesses the quality that, through them, the actual dimensions of represented spatial objects can be found directly…
Descriptors: Geometry, Mathematics Instruction, Visual Aids, Geometric Concepts
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Schwartz, Mark – College Mathematics Journal, 2011
The refraction problem, well-known in calculus and physics, continues to reveal new insights. This paper presents a geometric solution in which the trammel of Archimedes plays the prominent role. When properly configured, the trammel generates an ellipse and its family of normal lines. One normal line in particular intersects the boundary…
Descriptors: Animation, Computer Graphics, Geometric Concepts, Geometry
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Kang, Helen W.; Zentall, Sydney S. – Educational Technology Research and Development, 2011
This study hypothesized that increased intensity of graphic information, presented in computer-generated instruction, could be differentially beneficial for students with hyperactivity and inattention by improving their ability to sustain attention and hold information in-mind. To this purpose, 18 2nd-4th grade students, recruited from general…
Descriptors: Hyperactivity, Geometric Concepts, Geometry, Special Needs Students
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Goodson-Espy, Tracy; Lynch-Davis, Kathleen; Schram, Pamela; Quickenton, Art – SRATE Journal, 2010
This paper describes the genesis and purpose of our geometry methods course, focusing on a geometry-teaching technology we created using NVIDIA[R] Chameleon demonstration. This article presents examples from a sequence of lessons centered about a 3D computer graphics demonstration of the chameleon and its geometry. In addition, we present data…
Descriptors: Preservice Teachers, Methods Courses, Teacher Education Curriculum, Computer Graphics
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Wong, Wing-Kwong; Yin, Sheng-Kai; Yang, Hsi-Hsun; Cheng, Ying-Hao – Educational Technology & Society, 2011
Geometry theorem proving involves skills that are difficult to learn. Instead of working with abstract and complicated representations, students might start with concrete, graphical representations. A proof tree is a graphical representation of a formal proof, with each node representing a proposition or given conditions. A computer-assisted…
Descriptors: Foreign Countries, Geometry, Mathematical Logic, Validity
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Ruthven, Kenneth – Journal of Educational Computing Research, 2008
This article examines three important facets of the incorporation of new technologies into educational practice, focusing on emergent usages of the mathematical tools of computer algebra and dynamic geometry. First, it illustrates the interpretative flexibility of these tools, highlighting important differences in ways of conceptualizing and…
Descriptors: Mathematics Education, Educational Practices, Geometry, Algebra
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Hauptman, Hanoch – Computers & Education, 2010
Developing a software environment to enhance 3D geometric proficiency demands the consideration of theoretical views of the learning process. Simultaneously, this effort requires taking into account the range of tools that technology offers, as well as their limitations. In this paper, we report on the design of Virtual Spaces 1.0 software, a…
Descriptors: Computer Software, Educational Technology, Spatial Ability, Geometric Concepts
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Zsombor-Murray, Paul – Engineering Design Graphics Journal, 2007
Cubic symmetry is used to build the other four Platonic solids and some formalism from classical geometry is introduced. Initially, the approach is via geometric construction, e.g., the "golden ratio" is necessary to construct an icosahedron with pentagonal faces. Then conventional elementary vector algebra is used to extract quantitative…
Descriptors: Geometric Concepts, Geometry, Mathematics Instruction, Thinking Skills
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Perham, Arnold E.; Perham, Faustine L. – Mathematics Teacher, 2005
The article discusses the use of L-systems, which provide students with a unique method to construct line fractals, including the Koch snowflake, the Sierpinski triangle, and the Harter-Heighway dragon. Applets that use L-system theory offer a graphics tool that promotes geometric reasoning, sparks enthusiasm, and connects to historical themes in…
Descriptors: Geometric Concepts, Geometry, Mathematics Instruction, Computer Software
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Hoyles, Celia; Noss, Richard – Mathematics Teacher, 1994
Discusses the distinction between drawing and constructing in dynamic geometry environments. (MKR)
Descriptors: Computer Graphics, Computer Uses in Education, Drafting, Geometric Constructions
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Finzer, William F.; Bennett, Dan S. – Mathematics Teacher, 1995
Discusses the differences between mathematical constructions and drawing, offers tips for emphasizing construction, and discusses appropriate constraints of constructions. (MKR)
Descriptors: Computer Graphics, Educational Technology, Geometry, Mathematics Education
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