1,886 research outputs found
Establishing a professional development network around dynamic mathematics software in England
No full textIn this paper, we outline some results of a project funded by NCETM (the National Centre for Excellence in the Teaching of Mathematics) that aimed to establish a professional development network in England around an open-source mathematical software - GeoGebra. During the past few years a large international user and developer community has formed around various GeoGebra-related activities. Most teachers who are currently using GeoGebra have not received professional training in the implementation of the software in their teaching practices, but have begun using it due to their own enthusiasm or through encouragement by their colleagues. However, research suggests that, for the majority of teachers, solely providing technology is insufficient for the successful integration of technology into their teaching. It has been suggested that adequate training and collegial support can boost teachers' willingness to integrate technology into their teaching and to develop successful technology-assisted teaching practices. Thus, in our project, involving nine experienced teachers in England, we developed suitable priorities for professional development, including designing a range of supporting materials for use by teachers more widel
Al Keith, ca. 1980
No full textb&w photographVery good condition with small dent in top left corner.Portrait of Al Keith.Came in envelope marked 'Keith.' Author name came from proof sheet (03.04.0344) with this photo on i
Ice shelf/ocean interactions under the Amery Ice Shelf: seasonal variability and its effect on marine ice formation
No full textMarine ice is an important factor in ice shelf stability. An extensive marine ice layer is present under the Amery Ice Shelf (AIS), East Antarctica. This paper documents observations on the seasonal variability of the AIS–ocean interaction beneath its marine ice layer. We focus on data collected during 2002 through a borehole at AM01, 100 km from the ice shelf calving front, and use additional data from two other boreholes to complement the study. At AM01, the top ~20 m of the water column is super–cooled almost year–round, protecting the marine ice layer and promoting frazil ice formation. The mixed layer thickness varies from ~50 m in February to at least 160 m by June, as the water column cools and freshens. High Salinity Shelf Water (HSSW) abruptly arrives at AM01 in June–August as an eddy–like flow. We suggest that the flow characteristics are a result of baroclinic instabilities. In addition, the inflow of HSSW results in a steepening of the isopycnals that enhances the upwelling of Ice Shelf Water. This study documents, for the first time, a seasonal signal in the formation of marine ice under the AIS. Our results highlight the vulnerability of the marine ice layer to ocean variability with potential consequences for the overall ice shelf mass balance
The mediation of mathematical learning through the use of pedagogical tools: a sociocultural analysis
No full textA 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
On Nietzsche’s genealogical mode of inquiry
No full textThe subject of this thesis is Friedrich Nietzsche’s methodology, the genealogical mode of inquiry, which came to fruition in On the Genealogy of Morals. The precise nature of the genealogy, as a mode of inquiry, is a site of contest amongst scholars, with the central debates pivoting around four questions which arise upon considering the methodology: (1) what is the critical import of Nietzsche’s genealogical mode of inquiry? (2) What form of critique does it take? (3) To whom does Nietzsche address his reflections? And (4) what role, if any, does history play in Nietzsche’s genealogical narratives? Accordingly, this thesis seeks to offer and to defend answers to the central questions that are generated by the consideration of Nietzsche’s methodology.In order to get a foothold into these debates and to provide the boundary within which these disagreements occur the first chapter has as its object of inquiry an examination and evaluation of Nietzsche scholars’ responses to these issues. In chapter two I defend my interpretation against these rival views, and contend that the genealogy takes the form of an immanent critique, and that it is intended, at least, to reach all of Nietzsche’s contemporaries.The adage “genealogy is history correctly practiced” is treated in the remaining three chapters, in which I attempt to morph what appears to be at present an uninformative formulation into an informative one by arguing that for Nietzsche historiography is best seen as a form of artistry. And, this I submit, serves to shed light upon the genealogical mode of inquiry, and to shape the boundary by which the equation of genealogy as methodology with history becomes instructive
The process of re-designing the geometry curriculum: the case of the Mathematical Association in England in the early twentieth century
No full textThis 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
Some of the Current Methods of Assessing Railroad Companies Operating Properties for Property Tax Purposes by State Assessing Bodies
No full textThis independent study into the current methods of assessing railroad companies operating properties for ad valorem property tax purposes by State Assessing Bodies is by no means complete study in this field. However, many hours have been spent by the writer reading and studying from available sources prior to developing and writing on this subject. This survey does, I believe, bring to light the most current methods of assessing a railroad’s operating properties on a state level. It appears that some of the state appraisers are meeting together, comparing their assessment problems, and tending towards more uniformity in their railroad property tax assessing formulas. A survey has also been made of the results of assessing methods with respect to one railroads ad velorem property tax obligation the past several years. I assume the results shown for this company would be common, generally speaking, for the railroad industry as a whole. Some very valuable data has been obtained from many unpublished official records of the Union Pacific Railroad Company. Acknowledgments are due to them for kind permission to use some of their records and from numerous other studies prepared by other railroad companies. As with all other studies, the analysis and conclusions are those of the author, who alone assumes responsibility therefor.ProQuest Traditional Publishing Optio
Exploratory talk within collaborative small groups in mathematics
No full textThis report describes one aspect of a wider research study on exploratory talk within collaborative small groups in secondary mathematics lessons. It outlines students’ views of using collaborative activity to learn mathematics. The fuller research study explores the extent to which exploratory talk occurs in collaborative peer groups in secondary mathematics classrooms
The macrophage activating properties of growth hormone in vitro and in vivo: Comparison to interferon-gamma (IF N-gamma)
No full text"Macrophages (M) elicited by injections of inflammatory agents or obtained from animals infected with intracellular parasites are primed so that they respond to phagocytosis of opsonized particles such as opsonized-zymosan (Op-zym) with a marked increase in the respiratory burst, NADPH oxidase system. This capacity to increase the release of reactive oxygen metabolites, including superoxide anion (O\sb2\sp-), plays an important role in the enhanced microbicidal capacity of activated M. To date, Interferon- (IFN-), a classically defined macrophage activating factor (MAF), has been the most completely characterized substance both in vitro and in vivo known to be produced by mammalian cells that augments the production of reactive oxygen metabolites, including O\sb2\sp-, by M. Other MAF-like molecules such as Interleukin-4 and Granulocyte/Macrophage Colony Stimulating Factor are thought to exist. Growth hormone (GH) is synthesized by the adenohypophysis, and it has also been shown to be produced by activated lymphoid cells. Therefore, the role of GH in regulating M activation has been addressed in this dissertation. Data are presented which provide the first evidence that GH augments the production of O\sb2\sp- by mononuclear phagocytes in vitro and in vivo. When either native or recombinant GH were administered to hypophysectomized rats in vivo, activation of peritoneal M, as measured by O\sb2\sp- release, was equivalent to that of M from rats primed with IFN-. Because M are capable of exerting antimicrobial activities toward intracellular pathogens through an enhanced respiratory burst in vitro and in vivo, data are presented which indicate that rats treated with IFN- or GH have enhanced resistance to a Salmonella typhimurium infection over a 14-day period and this resistance was due in-part to the generation of reactive oxygen intermediates. Since it is important to know whether GH augments other M functional activities, other studies address the ability of IFN- or GH administered to hypophysectomized rats in vivo to up-regulate the cytokine Tumor Necrosis Factor-. The biological relevance of this observation is demonstrated by showing that in vivo priming of endotoxin induced hemorrhagic necrosis of murine tumors in mice can be mediated by IFN- and GH. In summary, the data presented in these experiments suggest that GH plays an important ""cytokine-like"" role in regulating M functional activities in vitro and in vivo."Made available in DSpace on 2011-05-07T12:41:59Z (GMT). No. of bitstreams: 2
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The place of experimental tasks in geometry teaching: learning from the textbook designs of the early 20th century
No full textThe dual nature of geometry, in that it is a theoretical domain and an area of practical experience, presents mathematics teachers with opportunities and dilemmas. Opportunities exist to link theory with the everyday knowledge of pupils but the dilemmas are that learners very often find the dual nature of geometry a chasm that is very difficult to bridge. With research continuing to focus on understanding the nature of this problem, with a view to developing better pedagogical techniques, this paper examines the place of experimental tasks in the process of learning geometry. In particular, the paper provides some results from an analysis of innovative geometry textbooks designed in the early part of the 20th Century, a time when significant efforts were being made to improve the teaching and learning of geometry. The analysis suggests that experimental tasks have a vital role to play and that a potent tool for informing the design of such tasks, so that they build effectively on pupils’ geometrical intuition, is the notion of the geometrical eye, a term coined by Charles Godfrey in 1910 as “the power of seeing geometrical properties detach themselves from a figure"
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