ALGEBRAIC AND GEOMETRIC THEORY OF THE TOPOLOGICAL RING OF COLOMBEAU GENERALIZED FUNCTIONS

We continue the investigation of the algebraic and topological structure of the algebra of Colombeau generalized functions with the aim of building up the algebraic basis for the theory of these functions. This was started in a previous work of Aragona and Juriaans, where the algebraic and topological structure of the Colombeau generalized numbers were studied. Here, among other important things, we determine completely the minimal primes of (K) over bar and introduce several invariants of the ideals of 9(Q). The main tools we use are the algebraic results obtained by Aragona and Juriaans and the theory of differential calculus on generalized manifolds developed by Aragona and co-workers. The main achievement of the differential calculus is that all classical objects, such as distributions, become Cl-functions. Our purpose is to build an independent and intrinsic theory for Colombeau generalized functions and place them in a wider context.

Polar orthogonal representations of real reductive algebraic groups

We prove that a polar orthogonal representation of a real reductive algebraic group has the same closed orbits as the isotropy representation of a pseudo-Riemannian symmetric space. We also develop a partial structural theory of polar orthogonal representations of real reductive algebraic groups which slightly generalizes some results of the structural theory of real reductive Lie algebras. (c) 2008 Elsevier Inc. All rights reserved.

Algebraic Bol loops

In this paper, we study the category of algebraic Bol loops over an algebraically closed field of definition. On the one hand, we apply techniques from the theory of algebraic groups in order to prove structural theorems for this category. On the other hand, we present some examples showing that these loops lack some nice properties of algebraic groups; for example, we construct local algebraic Bol loops which are not birationally equivalent to global algebraic loops.

An algebraic theory for generalized Jordan chains and partial signatures in the Lagrangian Grassmannian

We discuss an algebraic theory for generalized Jordan chains and partial signatures, that are invariants associated to sequences of symmetric bilinear forms on a vector space. We introduce an intrinsic notion of partial signatures in the Lagrangian Grassmannian of a symplectic space that does not use local coordinates, and we give a formula for the Maslov index of arbitrary real analytic paths in terms of partial signatures.

Assessing Threshold Concepts for Information Literacy

This presentation was offered as part of the CUNY Library Assessment Conference, Reinventing Libraries: Reinventing Assessment, held at the City University of New York in June 2014.

Hur eller Varför? : Kunskap i sociokulturellt eller existentialistiskt perspektiv? En kritisk betraktelse

This essay set out to propose a problematic interpretation of the socio-cultural perspective on learning. Its purpose is to show how the socio-cultural perspective on learning defines the concept of knowledge in an incomplete way. The aim becomes then that of giving a more comprehensive description of this concept, and, to this end, to construct a new, broader pedagogic discourse. The investigation starts with a deconstructive analysis of Roger Säljö’s socio-cultural text in order to point out the incompleteness of the concept of knowledge. The constructive part of the analysis proceeds using Heidegger’s and Sartre’s philosophical theories which take a general approach on human learning and on human knowledge as dependent on intuition. A dichotomy of two new concepts related to knowledge is thus defined: how-knowledge and why-knowledge. This reconceptualisation of the concept of knowledge allows a reinterpretation of any act of knowledge in a structural way. Hence any act of knowledge includes a moment (a) which defines the initial contextual (conceptual or practical) situation; a moment (b) which represents an algorithm, a procedure, or a theory; and a moment (c) which represents the result of the act, and is the direct application of knowledge as a finalized entity. Knowledge inbuilt in (a) and (c) is characterized as how-knowledge, while that in (b) is characterized as why-knowledge. In a learning situation a focus on how-knowledge implies finality and objectification of students. Conversely, why-knowledge implies students becoming subjects of their own learning.

Thick viewing : empirical examples of condensed moments of narrative impact in fiction film developing theoretical concepts for intensified engagements

Abstract  In a case study about viewing habits in a Swedish audience I sampled 309 questionnaires; interviews with five focus group were conducted together with ten in-depth individual interviews discussing altogether fifteen favorite films exploring specific scenes of idiosyncratic relevance.  The outcome supports claims about viewers as active and playful (cf. Höijer 1998, Frampton 2006, Hoover 2006, Plantinga 2009). In line with mediatization theory I also argue that spiritual meaning making takes place through mediated experiences and I support theories about fiction films as important sources for moral and spiritual reflection (Partridge 2004, Zillman 2005, Lynch 2007, Plantinga 2009). What Hjarvard calls the soft side of mediatization processes (2008) is illustrated showing adults experiencing enchantment through favorite films (Jerslev 2006, Partridge 2008, Klinger 2008, Oliver & Hartmann 2010).  Vernacular meaning making embedded in everyday life and spectators dealing with fiction narratives such as Gladiator, Amelie from Montmartre or Avatar highlights the need for a more nuanced understanding of elevated cinematic experiences. The reported impact of specific movies is analyzed through theories where cognition and affect are central aspects of spectators’ engagements with a film (Tan 1996, Caroll 1999, Grodal 2009). Crucially important are theories of meaning-making where viewers’ detailed interpretation of specific scenes are embedded in high-level meaning-making where world view issues and spectators’ moral frameworks are activated (Zillman 2005, Andersson & Andersson 2005, Frampton 2006, Lynch 2007, Avila 2007, Axelson 2008, Plantinga 2009).  Also results from a growing body of empirical oriented research in film studies are relevant with an interest in what happens with the flesh and blood spectator exposed to filmic narratives (Jerslev 2006, Klinger 2008, Barker 2009, Suckfüll 2010, Oliver & Hartmann 2010). Analyzing the qualitative results of my case study, I want to challenge the claim that the viewer has to suspend higher order reflective cognitive structures in order to experience suture (Butler & Palesh 2004). What I find in my empirical examples is responses related to spectators’ highest levels of mental activity, all anchored in the sensual-emotional apparatus (Grodal 2009). My outcome is in line with a growing number of empirical case studies which support conclusions that both thinking and behavior are affected by film watching (Marsh 2007, Sückfull 2010, Oliver & Hartmann 2010, Axelson forthcoming). The presentation contributes to a development of concepts which combines aesthetic, affective and cognitive components in an investigation of spectator’s moves from emotional evaluation of intra-text narration to extra-textual assessments, testing the narrative for larger significance in idiosyncratic ways (Bordwell & Thompson 1997, Marsh 2007, Johnston 2007, Bruun Vaage 2009, Axelson 2011). There are a several profitable concepts suggested to embrace the complex interplay between affects, cognition and emotions when individuals respond to fictional narratives. Robert K. Johnston label it “deepening gaze” (2007: 307) and “transformative viewing” (2007: 305). Philosopher Mitch Avila proposes “high cognition” (2007: 228) and Casper Thybjerg ”higher meaning” (2008: 60). Torben Grodal talks about “feelings of deep meaning” (Grodal 2009: 149). With a nod to Clifford Geertz, Craig Detweiler adopts “thick description” (2007: 47) as do Kutter Callaway altering it to ”thick interpretations” (Callaway 2013: 203).  Frampton states it in a paradox; ”affective intelligence” (Frampton 2006: 166). As a result of the empirical investigation, inspired by Geertz, Detweiler & Callaway, I advocate thick viewing for capturing the viewing process of these specific moments of film experience when profound and intensified emotional interpretations take place. The author As a sociologist of religion, Tomas Axelsons research deals with people’s use of mediated narratives to make sense of reality in a society characterized by individualization, mediatization and pluralized world views.  He explores uses of fiction film as a resource in every day life and he is currently finishing his three year project funded by the Swedish Research Council: Spectator engagement in film and utopian self-reflexivity. Moving Images and Moved Minds. http://www.du.se/sv/AVM/Personal/Tomas-Axelson Bibliography Axelson, T. (Forthcoming 2014). Den rörliga bildens förmåga att beröra.[1] Stockholm: Liber Axelson, T. (In peer review). Vernacular Meaning Making. Examples of narrative impact in fiction film questioning the ’banal’ notion in mediatization theory. Nordicom Review. Nordicom Göteborg. Axelson, T. (2011). Människans behov av fiktion. Den rörliga bildens förmåga att beröra människan på djupet.[2]Kulturella perspektiv. Volume 2. Article retrieved from www.kultmed.umu.se/digitalAssets/74/74304_axelson-22011.pdf Axelson, Tomas (2010) “Narration, Visualization and Mind. Movies in everyday life as a resource for utopian self-reflection.” Paper presentation at CMRC, 7th Conference of Media, Religion & Culture in Toronto, Canada 9 – 13th August 2010. Axelson, Tomas (2008) Movies and Meaning. Studying Audience, Favourite Films and Existential Matters. Particip@tions : Journal of Audience and Reception Studies. Volume 5, (1). Doctoral dissertation summary. ACTA UNIVERSITATIS UPSALIENSIS. Article retrieved from http://www.participations.org/Volume%205/Issue%201%20-%20special/5_01_axelson.htm  [1] English translation: Moving Images and Moved Minds. [2] English translation: Our need for fiction. Deeply Moved by Moving Images. Cultural Perspectives.

How initial vocational education and training (IVET) teachers in Sweden perceive their prospects of being able to prepare upper secondary school pupils for a future occupation

Vocational teachers in Swedish upper secondary schools are a heterogeneous category of teachers, connected to different types of trade. These teachers represent a broad set of trade skills varying in content and character. In their teacher role, they continue to wear the clothes, speak the language, share the culture and remain mentally in their former professions. Still, it is central that they keep up this contact to be able to school the pupils into the environment of the trade in question, but also to help them to understand what skills a profession demands. However, the individual teacher also has to distance himself from the negative elements in the culture of the profession: patterns and habits that, for various reasons, have to be broken or changed. This paper draws attention to the ways in which a group of vocational teachers, who were participants in a project that aimed to train unauthorized vocational teachers, expressed their ambitions to prepare the pupils for a future professional career. When collecting information, we used the degree dissertations they produced and discussed in seminars, and informal dialogues. The result shows that it is important that the instruction location resembles a real working site as far as possible. These places are more or less realistic copies of a garage, a restaurant kitchen, a hairdressing salon, and so on, in order to give the pupils a realistic setting for instruction. However, the fact that these simulated workplaces lack the necessary support functions that exist in a company creates problems, problems which make a lot of extra work for the teachers. Vocational teachers also have to instruct the pupil in the experienced practitioner’s professional skills and working situation, but the pupil herself/himself must learn the job by doing it in practice. Some vocational upper secondary programs lack relevant course literature and the businesses give little support. This also makes extra work for the teachers. Moreover, the distance between the vocational programs and the trainee jobs was experienced as being difficult to overcome. One reason seems to be differences between businesses and differing preconditions between small and big companies’ abilities to take care of these pupils. The upper secondary school vocational programs also play a role in cementing existing gender roles, as well as perpetuating class-related patterns on the labour market.

How initial vocational education and training (IVET) teachers in Sweden perceive their prospects of being able to prepare upper secondary school pupils for a future occupation

Vocational teachers in Swedish upper secondary schools are a heterogeneous category of teachers, connected to different types of trade. These teachers represent a broad set of trade skills varying in content and character. In their teacher role, they continue to wear the clothes, speak the language, share the culture and remain mentally in their former professions. Still, it is central that they keep up this contact to be able to school the pupils into the environment of the trade in question, but also to help them to understand what skills a profession demands. However, the individual teacher also has to distance himself from the negative elements in the culture of the profession: patterns and habits that, for various reasons, have to be broken or changed. This paper draws attention to the ways in which a group of vocational teachers, who were participants in a project that aimed to train unauthorized vocational teachers, expressed their ambitions to prepare the pupils for a future professional career. When collecting information, we used the degree dissertations they produced and discussed in seminars, and informal dialogues. The result shows that it is important that the instruction location resembles a real working site as far as possible. These places are more or less realistic copies of a garage, a restaurant kitchen, a hairdressing salon, and so on, in order to give the pupils a realistic setting for instruction. However, the fact that these simulated workplaces lack the necessary support functions that exist in a company creates problems, problems which make a lot of extra work for the teachers. Vocational teachers also have to instruct the pupil in the experienced practitioner’s professional skills and working situation, but the pupil herself/himself must learn the job by doing it in practice. Some vocational upper secondary programs lack relevant course literature and the businesses give little support. This also makes extra work for the teachers. Moreover, the distance between the vocational programs and the trainee jobs was experienced as being difficult to overcome. One reason seems to be differences between businesses and differing preconditions between small and big companies’ abilities to take care of these pupils. The upper secondary school vocational programs also play a role in cementing existing gender roles, as well as perpetuating class-related patterns on the labour market.