11,366 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
Pengilly, Keith Williams, Pa2015
This record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/410289Surname: PENGILLY. Given Name(s) or Initials: KEITH WILLIAMS. Military Service Number or Last Known Location: PA2015. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 44242.226005
Item: [2016.0049.42558] "Pengilly, Keith Williams, Pa2015
Jersey Homesteads -- A Triple Co-operative
Chapter 11, pages 256-276, of
Title: "Tomorrow a new world: the New Deal communuity program."
Publisher: Ithaca, NY, Published for the American Historical Association (by) Cornell University Press, 1959.
Author; Conkin, Paul Keith
Williams, K J (Keith John), NX35566
This record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/426008Surname: WILLIAMS. Given Name(s) or Initials: K J (KEITH JOHN). Military Service Number or Last Known Location: NX35566. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 14491.252871
Item: [2016.0049.58269] "Williams, K J (Keith John), NX35566
[News Clip: Williams]
Video footage from the WBAP-TV television station in Fort Worth, Texas, to accompany a news story about H. Keith Williams who goes to court to pay over 500-dollars fine for contempt of court in Dallas
Recommended from our members
[News Clip: Williams]
Video footage from the WBAP-TV television station in Fort Worth, Texas, to accompany a news story about H. Keith Williams who goes to court to pay over 500-dollars fine for contempt of court in Dallas
Recommended from our members
[News Clip: Williams]
Video footage from the WBAP-TV television station in Fort Worth, Texas, to accompany a news story about H. Keith Williams turning over a list of his creditors to federal bankruptcy referee
[News Clip: Williams]
Video footage from the WBAP-TV television station in Fort Worth, Texas, to accompany a news story about H. Keith Williams turning over a list of his creditors to federal bankruptcy referee
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
Art, Biography, Sexuality: Patrick Procktor and Keith Vaughan
This critical review forms a reflection on the research published within the following publications:
Patrick Procktor: Art and Life (Unicorn Press, 2010)
Keith Vaughan: The Mature Oils 1946-1977, (Sansom & Co., 2012)
The research is on two artists, Patrick Procktor (1936-2003), and Keith Vaughan (1912-1977). The monograph on Procktor – previously one of the least documented of the generation of artists who came to prominence in London in the Sixties – positions him in a history of art from which he had been notably absent. The research on Vaughan asserts a new reading of his work, one that is both deeper and more nuanced in its analysis of the ways in which personal experience and sexuality are encoded autobiographically within his work. Crucially, in both artists biography and work are symbiotically linked; the research therefore examines the links between life and art.
Revisionary in intent, the work examines trajectories of experience of gay British (or rather, English) artists in the twentieth century, artists who sought to express themselves and forge careers within the constraints of a heteronormative society, albeit one in which attitudes to sexuality were undergoing change. As gay men, both were constrained by the social mores of their times, and each used painting as a means to affirm personal and sexual identities. A key research interest is in the ways in which sexuality and persona are reflected in critical responses to the artist’s work: in Vaughan, Procktor and other gay male artists of the period. The writing on both Procktor and Vaughan examines the relationship between their personal and professional/artistic lives, framed within a broader socio-political and art historical context. It asserts the place of biography as a means to understand and form new readings of the work. The work adds substantially to the literature and wider discourse on post-war British painting and social history
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