1,985 research outputs found

    Theoretical frameworks for the learning of geometrical reasoning

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    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

    Certificate of Appreciation for Dr. Keith Price

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    A certificate awarded to Joseph Keith Price on April 21, 1993 in recognition of his concern for T.D.C.J. - I.D. Employees

    Renal disease in minority populations and developing nations - Foreword

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    Lawrence Agodoa, Keith C. Norris, Shahnaz Shahinfar, Kowdle S. Prabhakar and David Pugsle

    The shaping of student knowledge: learning with dynamic geometry software

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    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

    The mediation of mathematical learning through the use of pedagogical tools: a sociocultural analysis

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    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

    Keith C. Petersen

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    Keith Petersen (center), author of ""This Crested Hill: An Illustrated History of the University of Idaho,"" sits with two other people as they look at a copy of the book. The book was released by the University of Idaho Press in 1987

    Two tales of a city: Salford in regional filmmaking, 1957-1973

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    This discussion considers the role of moving image in constructing aspects of regional identity, with particular reference to footage produced by two very different filmmakers who filmed in Ordsall, Salford during the 1960s. Their respective footage covers a period of profound social and physical change associated with housing clearance and urban renewal schemes. This article, which is based upon archival film footage in the North West Film Archive at Manchester Metropolitan University, seeks to convey the richness and multi-facetted nature of this footage and to highlight its value in the historical exploration of identity formation. The piece begins with a brief consideration of archival film as a source of historical evidence and associated issues of interpretation. This is followed by an introduction to the locality that features in the two filmmakers’ work and brief reference to how it has been represented in the past. Attention then turns to each of the filmmakers: first, John Michael Goodger, former lecturer at the University of Salford, who made a trilogy of films to chart the changing character of Ordsall in the late 1960s; second, Ralph Brookes, an amateur home movie maker who also documented the transformation of the terraced streets around where he lived. These contrasting versions of Ordsall highlight some of the challenges offered by using film in a study of regional identities. They also illustrate the enormous potential of such material in helping to elucidate the shifting and multiple nature of place meanings

    The process of re-designing the geometry curriculum: the case of the Mathematical Association in England in the early twentieth century

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    This paper examines a key period of change in geometry teaching in England. Our focus is the character and nature of the recommendations of the 1902 geometry report of the UK Mathematical Association. We analyse historical documents of the Mathematical Association using a theoretical framework informed by work in the sociology of education. Our analysis shows that the character and recommendations of the Mathematical Association report were influenced by various factors including: that Mathematical Association members at the time still respected the traditional Euclidean approach to geometry as a basis for school geometry; that the academic and ‘power’ resources available to the Mathematical Association at the time were not sufficient to enable a complete change from the traditional approach; that a lack of consensus between the various members of the Mathematical Association prevented a more radical proposal; and that the general climate in schools at that time was not prepared for far-reaching changes to the teaching of geometry. These findings accord with other research on educational reform which indicates that curriculum change processes are invariably complex and often subject to much politicking

    Running your author business properly and its financial impact on you

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    Keith is a bookkeeping manager and tax preparer here in Stockton who also happens to write fantasy. Attend this class to go over the ins and outs of bookkeeping, recordkeeping, the schedule C for authors, 1099 requirements, and tax implications for being an author. We will also touch on good practices to keep in mind to run your author career as a successful business. This class is meant for authors who either have published a work that can be purchased by the public or plan to do so

    Interview with Dr. Michael C. Keith (Communication Department), author Of Night and Light: Stories (Blue Mustang Press, 2012)

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    Dr. Keith's latest book is a collection of shorts stories entitled Of Night and Light. This book collects more than 40 short stories covering all manner of speculative fiction, humor, and even a bit of romance. As the title notes, there are both light and dark themes within the book, though the author readily admits he leans a bit darker at times.Title supplied by cataloger
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