17 results on '"Michael Kopp"'
Search Results
2. Handlungsfelder und attraktive Lösungen für Open Educational Resources im österreichischen Hochschulraum
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Martin Ebner, Raman Ganguly, Ortrun Gröblinger, Claudia Hackl, Daniel Handle-Pfeiffer, Michael Kopp, Kristina Neuböck, Alexander Schmölz, Sandra Schön, and Charlotte Zwiauer
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Education - Abstract
Open Education Austria Advanced trägt zur Sichtbarmachung und Nutzung von Synergien aus Open Science und Open Education bei, um einen Beitrag zur freien Nutzung von Bildungsinhalten aus der Hochschullehre zu leisten und offene Praktiken analog zur Forschung zu etablieren (Open Access, Open Data). Es wird an attraktiven Lösungen für Open Educational Resources (OER) gearbeitet, welche u. a. den OERhub als Suchportal für OER aus dem gesamten Hochschulraum sowie den Aufbau lokaler OER-Repositorien, einer nationalen Zertifizierungsstelle und ein Qualifizierungsangebot umfassen. Der gezielte Wissenstransfer aus dem Projekt in die österreichischen Hochschulen an der Schnittstelle von Bibliotheken, Zentralen IT-Services und Einrichtungen für digitale Lehre stellt ein weiteres Handlungsfeld dar. Dieses Projekt wurde am 1. Juni 2023 im Rahmen einer Online-Veranstaltung des BMBWF präsentiert. Die Präsentationsunterlagen finden Sie hier.
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- 2023
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3. Editorial: Seamless Learning - Lernen überall und jederzeit
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Herwig Rehatschek, Ursula Leopold, Martin Ebner, Michael Kopp, Patrick Schweighofer, Manfred Rechberger, Martin Teufel, and Anastasia Sfiri
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Education - Abstract
12.08.2016 | Herwig Rehatschek, Ursula Leopold, Martin Ebner, Michael Kopp, Patrick Schweighofer, Manfred Rechberger, Martin Teufel & Anastasia Sfiri (Graz)
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- 2016
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4. Editorial: E-Learning-Strategien für die Hochschullehre
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Sabine Seufert, Martin Ebner, Michael Kopp, and Bettina Schlass
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Education - Abstract
27.04.2015 | Sabine Seufert (St. Gallen), Martin Ebner, Michael Kopp (Graz) & Bettina Schlass (Amsterdam)
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- 2015
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5. Entwicklung der E-Learning-Strategie für die Universität Graz
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Michael Kopp and Martin Polaschek
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E-Learning-Strategie ,Innovationsprozess ,Strategieentwicklung ,Education - Abstract
Die Universität Graz hat im Jahr 2014 mittels der Kombination eines Top-Down- und Bottom-Up-Ansatzes eine E-Learning-Strategie entwickelt und diese durch den Beschluss des Rektorates zu einem institutionalisierten Bestandteil der strategischen Überlegungen der Universität gemacht. Der vorliegende Beitrag beschreibt zunächst die Ausgangslage und die Rahmenbedingungen, die zur Entwicklung der Strategie führten. Im zweiten Teil werden allgemeine Parameter zur Strategieentwicklung unter besonderer Berücksichtigung des Einsatzes neuer Medien erörtert. Daran schließen die Beschreibung der konkreten Strategieentwicklung sowie ein Überblick über die wesentlichen Inhalte der E-Learning-Strategie an. Abschließend wird ein Ausblick über zukünftige Entwicklungen und Herausforderungen bei der Strategieumsetzung gegeben. 27.04.2015 | Michael Kopp & Martin Polaschek (Graz)
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- 2015
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6. Editorial: Videos in der (Hochschul-)Lehre
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Thomas Antretter, Johannes Dorfinger, Martin Ebner, Michael Kopp, Walther Nagler, Jutta Pauschenwein, Michael Raunig, Manfred Rechberger, Herwig Rehatschek, Patrick Schweighofer, Reinhard Staber, and Martin Teufel
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Education - Abstract
24.04.2014 | Thomas Antretter, Johannes Dorfinger, Martin Ebner, Michael Kopp, Walther Nagler, Jutta Pauschenwein, Michael Raunig, Manfred Rechberger, Herwig Rehatschek, Patrick Schweighofer, Reinhard Staber & Martin Teufel (Graz)
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- 2014
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7. Digital gestütztes Lehren mittels innovativem MOOC-Konzept
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Michael Kopp, Andreas Bollin, Martin Ebner, Simone Adams, and Martin Teufel
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0301 basic medicine ,Atmospheric Science ,Lehrerausbildung ,Physics and Astronomy (miscellaneous) ,E-learning (theory) ,Use of media ,Medicine (miscellaneous) ,Digitale Medien ,Blended Learning ,E-learning ,0302 clinical medicine ,Virtual learning ,Health Information Management ,Computer Science (miscellaneous) ,General Materials Science ,Österreich ,Hochschulbildung ,Waste Management and Disposal ,Water Science and Technology ,Mass media ,Higher education lecturing ,Global and Planetary Change ,Mediendidaktik ,Digitalization ,Massenmedien ,Condensed Matter Physics ,Pollution ,Agricultural and Biological Sciences (miscellaneous) ,Computer Science Applications ,Electronic, Optical and Magnetic Materials ,Computational Theory and Mathematics ,030220 oncology & carcinogenesis ,Medieneinsatz ,Austria ,Virtual learning environment ,Pulmonary and Respiratory Medicine ,Digitalisierung ,Lehramtsstudiengang ,Higher education ,Teacher education ,Teachers' training ,Computer Networks and Communications ,Erziehung, Schul- und Bildungswesen ,Materials Science (miscellaneous) ,Biomedical Engineering ,Media didactics ,Health Informatics ,Management, Monitoring, Policy and Law ,Biology ,Biochemistry, Genetics and Molecular Biology (miscellaneous) ,Education ,Technologieunterstütztes Lernen ,03 medical and health sciences ,University teaching ,ddc:370 ,Medienpädagogik ,Mathematics education ,Environmental Chemistry ,Lehrerbildung ,Electrical and Electronic Engineering ,Hochschulforschung und Hochschuldidaktik ,business.industry ,Hochschule ,Public Health, Environmental and Occupational Health ,Higher education institute ,Statistical and Nonlinear Physics ,Deployment of media ,Cell Biology ,Preservice Teacher Education ,Blended learning ,Teacher training ,030104 developmental biology ,Space and Planetary Science ,University level of education ,Technology uses in education ,Hochschullehre ,business ,Developmental Biology ,Food Science ,University lecturing - Abstract
Die Autoren beleuchten hochschulische Bildungsmöglichkeiten mit Massive Open Online Cours (MOOC) von der Erstellung bis zur Durchführung derartiger Kurse. Dabei scheinen die beliebige Wiederholbarkeit von Vorlesungen und die dauernde Abrufbarkeit von Lektionen wesentlich zum Erfolg des Formats beizutragen. (DIPF/Orig.)
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- 2020
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8. Phenotypic lag and population extinction in the moving-optimum model: insights from a small-jumps limit
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Michael Kopp, Etienne Pardoux, Elma Nassar, ALEA, Institut de Mathématiques de Marseille (I2M), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
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0301 basic medicine ,Mutation rate ,Exponential distribution ,Lag ,Population ,Environment ,Extinction, Biological ,Global Warming ,Models, Biological ,03 medical and health sciences ,Quantitative Trait, Heritable ,Quantitative Biology::Populations and Evolution ,Animals ,Computer Simulation ,Statistical physics ,Limit (mathematics) ,Stabilizing selection ,Selection, Genetic ,education ,Mathematics ,education.field_of_study ,Stochastic Processes ,Extinction ,Models, Genetic ,Applied Mathematics ,[SDV.BID.EVO]Life Sciences [q-bio]/Biodiversity/Populations and Evolution [q-bio.PE] ,Ornstein–Uhlenbeck process ,Mathematical Concepts ,Agricultural and Biological Sciences (miscellaneous) ,Adaptation, Physiological ,Biological Evolution ,030104 developmental biology ,Genetics, Population ,Phenotype ,Modeling and Simulation ,Mutation - Abstract
International audience; Continuous environmental change-such as slowly rising temperatures-may create permanent maladaptation of natural populations: Even if a population adapts evolutionarily, its mean phenotype will usually lag behind the phenotype favored in the current environment, and if the resulting phenotypic lag becomes too large, the population risks extinction. We analyze this scenario using a moving-optimum model, in which one or more quantitative traits are under stabilizing selection towards an optimal value that increases at a constant rate. We have recently shown that, in the limit of infinitely small mutations and high mutation rate, the evolution of the phenotypic lag converges to an Ornstein-Uhlenbeck process around a long-term equilibrium value. Both the mean and the variance of this equilibrium lag have simple analytical formulas. Here, we study the properties of this limit and compare it to simulations of an evolving population with finite mutational effects. We find that the small-jumps limit provides a reasonable approximation, provided the mean lag is so large that the optimum cannot be reached by a single mutation. This is the case for fast environmental change and/or weak selection. Our analysis also provides insights into population extinction: Even if the mean lag is small enough to allow a positive growth rate, stochastic fluctuations of the lag will eventually cause extinction. We show that the time until this event follows an exponential distribution, This study benefited from a PHC Amadeus exchange grant (project number 31642SJ) to whose mean depends strongly on a composite parameter that relates the speed of environmental change to the adaptive potential of the population.
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- 2018
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9. La certificación de los MOOC. Ventajas, desafíos y experiencias prácticas
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Michael Kopp and Martin Ebner
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Medical education ,05 social sciences ,Context (language use) ,MOOC ,Certification ,010501 environmental sciences ,01 natural sciences ,Education ,certificados ,iMoox ,0502 economics and business ,Individual learning ,distintivos en forma de credenciales ,retos ,Research questions ,Psychology ,experiencias prácticas ,Revista Española de Pedagogía ,050203 business & management ,0105 earth and related environmental sciences - Abstract
bstract: In general, participants use MOOCs for individual learning purposes by selecting certain contents of a MOOC in which they are interested. Simultaneously, MOOCs are used in the context of online-lectures offered to students who must or may enroll for a specific course to earn credits. However, many participants do not successfully complete all units of a MOOC. Therefore, completion rates —in general— are rather low. Certificates like PDF-documents or electronic badges can be an adequate stimulation to complete a course. This research raises the questions, how the certification of MOOC-participants can be managed and if certificates have an impact on completion rates. Firstly, general aspects of certification are discussed. This is followed by a practical insight into the certification practice based on experiences of the Austrian MOOC-platform iMooX operators. As a conclusion, results are summarized and related challenges and further research questions are addressed. De forma general, los participantes de los cursos MOOC acuden a ellos por deseos personales de aprender, por lo que seleccionan ciertos contenidos del MOOC en el que están interesados. A su vez, los MOOC también se emplean en el contexto de clases en línea que se ofrecen al alumnado que necesita alcanzar créditos académicos en su formación. Sin embargo, muchos participantes no finalizan todo el curso MOOC y las tasas de éxito son, en general, relativamente bajas. Los certificados en forma de documentos PDF, o distintivos en forma de credencial (badges), pueden resultar de estímulo para finalizar estos cursos. Esta investigación analiza cómo se puede afrontar la certificación de los participantes en un curso MOOC y si la certificación tiene, de alguna manera, incidencia en las tasas de éxito. En primer lugar, se discuten aspectos generales de la certificación y, a continuación, se realiza un análisis práctico con base en la plataforma MOOC austriaca iMooX. Las conclusiones muestran los principales retos e investigaciones derivadas del estudio y su desarrollo futuro.
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- 2017
10. Catch me if you can: Adaptation from standing genetic variation to a moving phenotypic optimum
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Sebastian Matuszewski, Joachim Hermisson, Michael Kopp, Mathematics and BioSciences Group, Faculty of Mathematics [Vienna], University of Vienna [Vienna]-University of Vienna [Vienna], ALEA, Institut de Mathématiques de Marseille (I2M), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), This study was supported by Austrian Science Fund, FWF (grant P 22581-B17 to MK and grant P22188 to Reinhard Bürger), Austrian Agency for International Cooperation in Education and Research, OEAD (grant FR06/2014 to JH), Campus France (grant PHC AMADEUS 31642SJ to MK),and a Writing-Up Fellowship from the Konrad Lorenz Institute for Evolution and CognitionResearch (KLI) to SM., Kopp, Michael, and Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)
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0106 biological sciences ,Population ,models/simulations ,Population genetics ,adaptation ,Environment ,Investigations ,Quantitative trait locus ,Biology ,010603 evolutionary biology ,01 natural sciences ,Evolution, Molecular ,03 medical and health sciences ,Genetic variation ,Genetic model ,[SDV.BID.EVO] Life Sciences [q-bio]/Biodiversity/Populations and Evolution [q-bio.PE] ,Genetics ,Genetic variability ,Allele ,education ,Population and Evolutionary Genetics ,Alleles ,Probability ,030304 developmental biology ,standing genetic variation ,0303 health sciences ,education.field_of_study ,Natural selection ,Models, Genetic ,[SDV.BID.EVO]Life Sciences [q-bio]/Biodiversity/Populations and Evolution [q-bio.PE] ,Genetic Variation ,population genetics ,natural selection ,Phenotype ,Adaptation, Physiological ,Fixation (population genetics) ,Evolutionary biology ,Mutation - Abstract
Adaptation lies at the heart of Darwinian evolution. Accordingly, numerous studies have tried to provide a formal framework for the description of the adaptive process. Of these, two complementary modeling approaches have emerged: While so-called adaptive-walk models consider adaptation from the successive fixation of de novo mutations only, quantitative genetic models assume that adaptation proceeds exclusively from preexisting standing genetic variation. The latter approach, however, has focused on short-term evolution of population means and variances rather than on the statistical properties of adaptive substitutions. Our aim is to combine these two approaches by describing the ecological and genetic factors that determine the genetic basis of adaptation from standing genetic variation in terms of the effect-size distribution of individual alleles. Specifically, we consider the evolution of a quantitative trait to a gradually changing environment. By means of analytical approximations, we derive the distribution of adaptive substitutions from standing genetic variation, that is, the distribution of the phenotypic effects of those alleles from the standing variation that become fixed during adaptation. Our results are checked against individual-based simulations. We find that, compared to adaptation from de novo mutations, (i) adaptation from standing variation proceeds by the fixation of more alleles of small effect and (ii) populations that adapt from standing genetic variation can traverse larger distances in phenotype space and, thus, have a higher potential for adaptation if the rate of environmental change is fast rather than slow.
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- 2015
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11. Estimating Students’ Satisfaction with Web Based Learning System in Blended Learning Environment
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Michael Kopp, Sanja Bauk, and Snežana Šćepanović
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Knowledge management ,Article Subject ,business.industry ,Process (engineering) ,Computer science ,media_common.quotation_subject ,Educational technology ,Survey result ,lcsh:Education (General) ,Education ,Blended learning ,Kano model ,Web based learning ,Information system ,Quality (business) ,lcsh:L7-991 ,business ,media_common - Abstract
Blended learning became the most popular educational model that universities apply for teaching and learning. This model combines online and face-to-face learning environments, in order to enhance learning with implementation of new web technologies and tools in learning process. In this paper principles of DeLone and Mclean success model for information system are applied to Kano two-dimensional model, for categorizing quality attributes related to satisfaction of students with web based learning system used in blended learning model. Survey results are obtained among the students at “Mediterranean” University in Montenegro. The (dys)functional dimensions of Kano model, including Kano basic matrix for assessment of the degree of students’ satisfaction level, have been considered in some more detail through corresponding numerical, graphical, and statistical analysis.
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- 2014
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12. Rapid evolution of quantitative traits: theoretical perspectives
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Sebastian Matuszewski, Michael Kopp, ALEA, Institut de Mathématiques de Marseille (I2M), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU), Mathematics and BioSciences Group, Faculty of Mathematics [Vienna], University of Vienna [Vienna]-University of Vienna [Vienna], FWF (Austrian Science Fund), and Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
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0106 biological sciences ,quantitative genetics ,Fitness landscape ,natural selection and contemporary evolution ,Population ,Population genetics ,Biology ,010603 evolutionary biology ,01 natural sciences ,phenotypic plasticity ,03 medical and health sciences ,Syntheses ,Genetic variation ,Genetics ,population dynamics ,Adaptation ,education ,Ecology, Evolution, Behavior and Systematics ,Selection (genetic algorithm) ,030304 developmental biology ,0303 health sciences ,Phenotypic plasticity ,education.field_of_study ,Ecology ,[SDV.BID.EVO]Life Sciences [q-bio]/Biodiversity/Populations and Evolution [q-bio.PE] ,population genetics ,Quantitative genetics ,habitat degradation ,15. Life on land ,climate change ,13. Climate action ,Evolutionary biology ,General Agricultural and Biological Sciences - Abstract
International audience; An increasing number of studies demonstrate phenotypic and genetic changes in natural populations that are subject to climate change, and there is hope that some of these changes will contribute to avoiding species extinctions ('evolutionary rescue'). Here, we review theoretical models of rapid evolution in quantitative traits that can shed light on the potential for adaptation to a changing climate. Our focus is on quantitative-genetic models with selection for a moving phenotypic optimum. We point out that there is no one-to-one relationship between the rate of adaptation and population survival, because the former depends on relative fitness and the latter on absolute fitness. Nevertheless, previous estimates that sustainable rates of genetically based change usually do not exceed 0.1 haldanes (i.e., phenotypic standard deviations per generation) are probably correct. Survival can be greatly facilitated by phenotypic plasticity, and heritable variation in plasticity can further speed up genetic evolution. Multivariate selection and genetic correlations are frequently assumed to constrain adaptation, but this is not necessarily the case and depends on the geometric relationship between the fitness landscape and the structure of genetic variation. Similar conclusions hold for adaptation to shifting spatial gradients. Recent models of adaptation in multispecies communities indicate that the potential for rapid evolution is strongly influenced by interspecific competition.
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- 2014
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13. Technologie in der Hochschullehre. Rahmenbedingungen, Strukturen und Modelle
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Michael Kopp, Martin Ebner, Walther Nagler, and Elke Lackner
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Erziehung, Schul- und Bildungswesen ,Massenlehrveranstaltung ,370 Erziehung, Schul- und Bildungswesen ,Technologieunterstütztes Lernen ,Education ,University teaching ,ddc:370 ,Medienpädagogik ,Aufzeichnungssystem ,didaktisches Modell ,Hochschulforschung und Hochschuldidaktik ,E-Bologna ,Higher education lecturing ,New technologien ,Organisationsentwicklung ,Hochschule ,Higher education institute ,Incentive system ,Lehrveranstaltung ,Organizational development ,Urheberrecht ,Interaktivität ,Technology uses in education ,Neue Technologien ,370 Education ,Hochschullehre ,Anreizsystem ,University lecturing ,New technologies - Abstract
Ebner, Martin [Hrsg.]; Schön, Sandra [Hrsg.]: L3T. Lehrbuch für Lernen und Lehren mit Technologien. 2. Auflage. 2013, [8] S., Das Lehren und Lernen mit Technologien bedarf einiger zentraler Grundvoraussetzungen, um sich an den Hochschulen möglichst effizient und nachhaltig etablieren zu können. Der Beitrag fokussiert daher zunächst die bestehenden und zu schaffenden Rahmenbedingungen, wobei der Schwerpunkt auf rechtlichen und organisationalen Fragestellungen liegt. Ausgehend von der ebenfalls notwendigen technischen Infrastruktur werden die besonderen Herausforderungen im Bereich der Präsenz-Massenlehrveranstaltungen analysiert. Konkrete Beispiele vermitteln, wie Technologien hier in Hinblick auf Interaktion, Aufzeichnung und Übertragung sowie bei Prüfungsdurchführungen unterstützen können. Abschließend erfolgt ein Überblick über die sich an den Lehrveranstaltungstypen orientierenden didaktischen Modelle. Beispiele aus der Praxis ergänzen das Kapitel. (DIPF/Orig.)
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- 2013
14. Effects of genetic architecture on the evolution of assortative mating under frequency-dependent disruptive selection
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Michael Kopp, Joachim Hermisson, Ulf Dieckmann, and Agnes Rettelbach
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Male ,Costs of choosiness ,Population ,Frequency-dependent selection ,Locus (genetics) ,Biology ,Evolution, Molecular ,Assortative mating ,Animals ,education ,Competitive sympatric speciation ,Ecology, Evolution, Behavior and Systematics ,Genetics ,education.field_of_study ,Disruptive selection ,Ecology ,Models, Genetic ,Invasion fitness ,Reproductive isolation ,Genetic architecture ,Sympatric speciation ,Evolutionary biology ,Mutational effect size ,Female - Abstract
We consider a model of sympatric speciation due to frequency-dependent competition, in which it was previously assumed that the evolving traits have a very simple genetic architecture. In the present study, we use numerical simulations to test the consequences of relaxing this assumption. First, previous models assumed that assortative mating evolves in infinitesimal steps. Here, we show that the range of parameters for which speciation is possible increases when mutational steps are large. Second, it was assumed that the trait under frequency-dependent selection is determined by a single locus with to alleles and additive effects. As a consequence, the resultant intermediate phenotype is always heterozygous and can never breed true. To relax this assumption, we now add a second locus influencing the trait. We find three new possible evolutionary outcomes: evolution of three reproductive isolated species, a monomorphic equilibrium with only the intermediate phenotype, and a randomly mating population with a steep unimodal distribution of phenotypes. Both extensions of the original model thus increase the likelihood of competitive speciation.
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- 2011
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15. The Genetic Basis of Phenotypic Adaptation II: The Distribution of Adaptive Substitutions in the Moving Optimum Model
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Michael Kopp and Joachim Hermisson
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Genetics ,education.field_of_study ,Mutation rate ,Time Factors ,Models, Genetic ,Population ,Biology ,Investigations ,Environment ,Adaptation, Physiological ,Evolution, Molecular ,Phenotype ,Mutation (genetic algorithm) ,Epistasis ,Allele ,Adaptation ,Stabilizing selection ,Selection, Genetic ,education ,Selection (genetic algorithm) - Abstract
We consider a population that adapts to a gradually changing environment. Our aim is to describe how ecological and genetic factors combine to determine the genetic basis of adaptation. Specifically, we consider the evolution of a polygenic trait that is under stabilizing selection with a moving optimum. The ecological dynamics are defined by the strength of selection, \documentclass[10pt]{article} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{pmc} \usepackage[Euler]{upgreek} \pagestyle{empty} \oddsidemargin -1.0in \begin{document} \begin{equation*}{\mathrm{\tilde {{\sigma}}}}\end{equation*}\end{document}, and the speed of the optimum, \documentclass[10pt]{article} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{pmc} \usepackage[Euler]{upgreek} \pagestyle{empty} \oddsidemargin -1.0in \begin{document} \begin{equation*}\tilde {{\upsilon}}\end{equation*}\end{document}; the key genetic parameters are the mutation rate Θ and the variance of the effects of new mutations, ω. We develop analytical approximations within an “adaptive-walk” framework and describe how selection acts as a sieve that transforms a given distribution of new mutations into the distribution of adaptive substitutions. Our analytical results are complemented by individual-based simulations. We find that (i) the ecological dynamics have a strong effect on the distribution of adaptive substitutions and their impact depends largely on a single composite measure \documentclass[10pt]{article} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{pmc} \usepackage[Euler]{upgreek} \pagestyle{empty} \oddsidemargin -1.0in \begin{document} \begin{equation*}{\mathrm{{\gamma}}}=\tilde {{\upsilon}}/({\mathrm{\tilde {{\sigma}}}}{\Theta}{\mathrm{{\omega}}}^{3})\end{equation*}\end{document}, which combines the ecological and genetic parameters; (ii) depending on γ, we can distinguish two distinct adaptive regimes: for large γ the adaptive process is mutation limited and dominated by genetic constraints, whereas for small γ it is environmentally limited and dominated by the external ecological dynamics; (iii) deviations from the adaptive-walk approximation occur for large mutation rates, when different mutant alleles interact via linkage or epistasis; and (iv) in contrast to predictions from previous models assuming constant selection, the distribution of adaptive substitutions is generally not exponential.
- Published
- 2009
16. THE EVOLUTION OF GENETIC ARCHITECTURE UNDER FREQUENCY-DEPENDENT DISRUPTIVE SELECTION
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Michael Kopp and Joachim Hermisson
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education.field_of_study ,Models, Genetic ,Disruptive selection ,Quantitative Trait Loci ,Assortative mating ,Population ,Population genetics ,Epistasis, Genetic ,Biology ,Biological Evolution ,Genetic architecture ,Evolutionary biology ,Genetics ,Epistasis ,Selection, Genetic ,Stabilizing selection ,General Agricultural and Biological Sciences ,education ,Alleles ,Ecology, Evolution, Behavior and Systematics ,Selection (genetic algorithm) - Abstract
We propose a model to analyze a quantitative trait under frequency-dependent disruptive selection. Selection on the trait is a combination of stabilizing selection and intraspecific competition, where competition is maximal between individuals with equal phenotypes. In addition, there is a density-dependent component induced by population regulation. The trait is determined additively by a number of biallelic loci, which can have different effects on the trait value. In contrast to most previous models, we assume that the allelic effects at the loci can evolve due to epistatic interactions with the genetic background. Using a modifier approach, we derive analytical results under the assumption of weak selection and constant population size, and we investigate the full model by numerical simulations. We find that frequency-dependent disruptive selection favors the evolution of a highly asymmetric genetic architecture, where most of the genetic variation is concentrated on a small number of loci. We show that the evolution of genetic architecture can be understood in terms of the ecological niches created by competition. The phenotypic distribution of a population with an adapted genetic architecture closely matches this niche structure. Thus, evolution of the genetic architecture seems to be a plausible way for populations to adapt to regimes of frequency-dependent disruptive selection. As such, it should be seen as a potential evolutionary pathway to discrete polymorphisms and as a potential alternative to other evolutionary responses, such as the evolution of sexual dimorphism or assortative mating.
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- 2006
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17. A robust new metric of phenotypic distance to estimate and compare multiple trait differences among populations
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Rebecca J. Safran, David P. L. Toews, Laurel B. Symes, Matthew R. Evans, Nathalie Seddon, Elizabeth S. C. Scordato, Michael Kopp, Darren E. Irwin, David A. Gray, Derek C. Briggs, W. Chris Funk, J. Albert C. Uy, Joe Tobias, Samuel M. Flaxman, Eileen A. Hebets, Kopp, Michael, ALEA, Institut de Mathématiques de Marseille (I2M), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)
- Subjects
0106 biological sciences ,0303 health sciences ,education.field_of_study ,Ecology ,[SDV.BID.EVO]Life Sciences [q-bio]/Biodiversity/Populations and Evolution [q-bio.PE] ,Population ,Phenotypic trait ,Biology ,010603 evolutionary biology ,01 natural sciences ,Genetic divergence ,03 medical and health sciences ,Sample size determination ,Statistics ,Metric (mathematics) ,Trait ,[SDV.BID.EVO] Life Sciences [q-bio]/Biodiversity/Populations and Evolution [q-bio.PE] ,Animal Science and Zoology ,Adaptation ,Divergence (statistics) ,education ,030304 developmental biology - Abstract
§ Equal contribution. Abstract Whereas a rich literature exists for estimating population genetic divergence, metrics of phenotypic trait divergence are lacking, particularly for comparing multiple traits among three or more populations. Here, we review and analyze via simula- tion Hedges' g, a widely used parametric estimate of effect size. Our analyses indicate that g is sensitive to a combination of un- equal trait variances and unequal sample sizes among populations and to changes in the scale of measurement. We then go on to derive and explain a new, non-parametric distance measure, "Δp", which is calculated based upon a joint cumulative distribution function (CDF) from all populations under study. More precisely, distances are measured in terms of the percentiles in this CDF at which each population's median lies. Δp combines many desirable features of other distance metrics into a single metric; namely, compared to other metrics, p is relatively insensitive to unequal variances and sample sizes among the populations sam- pled. Furthermore, a key feature of Δp—and our main motivation for developing it—is that it easily accommodates simultaneous comparisons of any number of traits across any number of populations. To exemplify its utility, we employ Δp to address a ques- tion related to the role of sexual selection in speciation: are sexual signals more divergent than ecological traits in closely related taxa? Using traits of known function in closely related populations, we show that traits predictive of reproductive performance are, indeed, more divergent and more sexually dimorphic than traits related to ecological adaptation (Current Zoology 58 (3): 426439, 2012).
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