238,491 research outputs found
Theoretical frameworks for the learning of geometrical reasoning
With the growth in interest in geometrical ideas it is important to be clear about the nature of geometrical reasoning and how it develops. This paper provides an overview of three theoretical frameworks for the learning of geometrical reasoning: the van Hiele model of thinking in geometry, Fischbein’s theory of figural concepts, and Duval’s cognitive model of geometrical reasoning. Each of these frameworks provides theoretical resources to support research into the development of geometrical reasoning in students and related aspects of visualisation and construction. This overview concludes that much research about the deep process of the development and the learning of visualisation and reasoning is still needed
The shaping of student knowledge: learning with dynamic geometry software
The focus of this paper is a software genre usually referred to as ‘dynamic geometry’ because of the ability of the user to dynamically manipulate geometrical figures created with the software tool. Using data from a longitudinal study of 12-13 students’ use of dynamic geometry software, the focus of the analysis is on the interpretations the students make of geometrical objects and relationships when using this form of software. The analysis suggests that the students’ mathematical reasoning is shaped by their interactions with the software in that their ability to explain geometrical facts and relationships evolves from imprecise, ‘everyday’ expressions, through reasoning that is overtly mediated by the software environment, to mathematical explanations of the geometric situation that transcend the particular tool being used. Such findings suggest that curriculum initiatives that encourage the use of dynamic geometry software are appropriate but that the incorporation of such software into classroom practices is unlikely to be straightforward
Proclamation Recognizing the Contribution and Service of Dr. Keith Price
A proclamation recognizing the contribution and service of Dr. Keith Price as the first Warden of the Terrell Unit, signed by County Judge John P. Thompson of Polk County, Texas on January 13, 1995
Elements of the visualisation process within a dynamic geometry environment
The advent of powerful computer graphic packages has coincided with renewed interest in all forms of visual representation in mathematics. As a result, we need to be clear about what we mean by the visual processing necessary to solve mathematical problems involving visual phenomena. Visual processing involves the ability to mentally manipulate and transform visual representations and visual imagery. This paper describes three different elements of the visualisation process: crude visualisation, visualisation as the reading of visual information, and visual processing. Illustrations are given of how the use of a dynamic geometry package such as Cabri-Géomètre both needs and contributes to developing visualisation in all these three senses
The mediation of mathematical learning through the use of pedagogical tools: a sociocultural analysis
A sociocultural analysis suggests that pedagogical artifacts employed in the teaching and learning of mathematics both enable and constrain learning. This paper summarises three classroom studies of mathematics learning that have utilised a sociocultural approach. Each of the studies indicates how insight can be gained into the ways in which students attempt to make sense of the mathematics they encounter
Managers of Managers Program Certificate for Keith Price
A certificate awarded to Keith Price on February 11, 1988 by the Texas State Management Development Center for the successful completion of the Managers of Managers Program, signed by the Governor of Texas, Bill Clements
Item 33, Juan P. Moreno portrait with guitar for Voltage Discos/Sony (4-color offset, 17 x 25 inches), undated
The Keith Ferguson collection includes artifacts, manuscripts, and audio-visual materials from the childhood and professional career of the internationally respected musician.Keith Ferguson, noted bass guitarist, was born on July 23, 1946. He was raised in the Sixth Ward of Houston, Texas, and graduated from San Jacinto High School in 1964. Ferguson, who played left-handed, worked with Carlos Santana, Johnny Winter, Peter Kaukonen, Jimmy and Stevie Ray Vaughn. He was a founding member of The Fabulous Thunderbirds and played with groups such as Night Crawlers, Texas Cajun Trio, The Tail Gators, and Big Guitars from Texas.Ferguson was nominated for a Grammy in 1986 for his work with the Big Guitars (a strictly instrumental, Austin-based band). He also won the Austin Music Award for Best Bass Guitar in 1985, and in 1997 he was inducted into the Austin Music Hall of Fame. Keith Ferguson died in Austin on April 29, 1997, of liver failure
Australia [music] : a national anthem /
2nd and 3rd verses printed as text at bottom of p. [2].; Also available online http://nla.gov.au/nla.mus-vn2931317; NLA's NL copy from the collection of Keith Watson. ANL
Using imagery to solve spatial problems
This report focuses on the use of imagery to solve a range of spatial problems. The research projects reviewed in this report offer some insight into the range of strategies used by solvers of spatial problems and point to relationships between spatial and verbal skills
Keith Lauer
Marietta High School; studio portrait of Keith Lauer (Orian, v.21, 1939, p. 48), names written in reverse
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