1,720,956 research outputs found
Learning that Matters is Messy: Experiments Revealing Hidden Potential in Higher Education
Full text linkWhy are some learning experiences so profound that they alter our worlds, whereas others don’t end up sticking at all? The author investigates this question in the context of undergraduate education, recounting several educational experiments that highlight subtle but powerful aspects of the student learning experience. By exploring a different approach to teaching a math course, an alternative framework for academic specialization instead of traditional majors, and a radical approach to designing new institutions, an encounter with the hidden, ontological dimension of learning becomes possible. Accessing the ontological experience of the learner opens up new possibilities for meaningful, deep, and transformative learning experiences in higher education
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Heegaard splittings of toroidal 3-manifolds
Full text linktextThis dissertation is an investigation into the Stabilization Problem for
Heegaard splittings of toroidal 3-manifolds. In several situations we obtain upper
bounds on the number of stabilizations needed for two Heegaard splittings
of a toroidal 3-manifold to become isotopic. Two corollaries of interest are:
(1) Two strongly irreducible Heegaard splittings of sufficiently large genus of
a graph manifold become isotopic after at most one stabilization of the higher
genus splitting, and (2) Two strongly irreducible Heegaard splittings of genus
g which are obtained by Dehn twisting along a canonical torus in the JSJ decomposition
of a 3-manifold become isotopic after at most 4g−4 stabilizations.Mathematic
Stabilizing Heegaard splittings of toroidal 3-manifolds
No full textAbstractLet T be a separating incompressible torus in a 3-manifold M. Assuming that a genus g Heegaard splitting V∪SW can be positioned nicely with respect to T (e.g., V∪SW is strongly irreducible), we obtain an upper bound on the number of stabi-lizations required for V∪SW to become isotopic to a Heegaard splitting which is an amalgamation along T. In particular, if T is a canonical torus in the JSJ decomposition of M, then the number of necessary stabilizations is at most 4g−4. As a corollary, this establishes an upper bound on the number of stabilizations required for V∪SW and any Heegaard splitting obtained by a Dehn twist of V∪SW along T to become isotopic
Lengths of Geodesics on Klein’s Quartic Curve
Full text linkA well-known and much studied Riemann surface is Klein’s quartic curve. This surface is interesting since it is the smallest complex curve with maximal symmetry. In addition to this high degree of symmetry, Klein’s quartic curve can be tiled by triangles,giving rise to a tiling group generated by reflections. Using the tiling group and the universal cover of the tiling group we are able to compile a list of the lengths of the short,simple,closed geodesics on this surface. In particular,w e are able to determine whether the geodesic loops generated by the tiling are the systoles,i.e.,the shortest closed geodesics
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Full text linkWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Dispelling the Myths Behind First-author Citation Counts
Full text linkWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
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