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43Philosophy of Interdisciplinarity. Workshop ReportJournal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 42 (1): 169-175. 2011.
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Learning by Developing Knowledge Networks. A semiotic approach within a dialectical frameworkZdm. Zentralblatt Für Didaktik der Mathematik 36 196-205. 2004.A central challenge for research on how we should prepare students to manage crossing boundaries between different knowledge settings in life long learning processes is to identify those forms of knowledge that are particularly relevant here. In this paper, we develop by philosophical means the concept of a dialectical system as a general framework to describe the de-velopment of knowledge networks that mark the starting point for learning processes, and we use semiotics to discuss the epistemol…Read more
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41Studies in the Logic of Charles Sanders PeircePhilosophische Rundschau 51 (3): 193-211. 1997.This volume represents an important contribution to Peirce’s work in mathematics and formal logic. An internationally recognized group of scholars explores and extends understandings of Peirce’s most advanced work. The stimulating depth and originality of Peirce’s thought and the continuing relevance of his ideas are brought out by this major book
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2The "Realization of the Due-Measure" as Structural Principle in Plato's StatesmanPolis. Newsletter of the Society for the Study of Greek Political Thought 12. 1993.
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Einleitung. Lernen als ZeichenprozessZeitschrift Für Semiotik 22. 2000.VG Wort: auf einer Seite 3500 Anschläge!
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The paper aims to show how by elaborating the Peircean terms used in the title creativity in learning processes and in scientific discoveries can be explained within a semiotic framework. The essential idea is to emphasize both the role of external representations and of experimenting with those representations , and to describe a process consisting of three steps: First, looking at diagrams "from a novel point of view" offers opportunities to synthesize elements of these diagrams which have nev…Read more
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Peirce's philosophy on science, logic and perception theoryPhilosophische Rundschau 51 (4): 296-313. 2004.
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23This argument map justifies the claim that using only deductive argument schemes in computer-supported argument visualization stimulates reflection on some of one's implicit background assumptions.
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Jona oder die Kunst, unrecht haben zu können. Überlegungen zur hermeneutischen PraxisLesarten. Zeitschrift Für Interpretation 2. 1994.
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21What you should know to survive in knowledge societies: On a semiotic understanding of ‘knowledge’Semiotica 2005 (157): 105-142. 2005.Different situations — like school and workplace — demand different forms of knowledge. Even more important, in particular for lifelong learning, are forms of knowledge we need for managing movements between those situations. To develop a better understanding of how to ‘navigate’ knowledge boundaries, this paper analyzes, firstly, interviews with scientists interpreting familiar and unfamiliar graphs. Our goal is to identify those forms of knowledge that should receive special attention in educa…Read more
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15Diagrams as Scaffolds for CreativityAaai Workshops, North America. 2010.Based on a typology of five basic forms of abduction, I propose a new definition of abductive insight that empha sizes in particular the inferential structure of a belief system that is able to explain a phenomenon after a new, abductive ly created component has been added to this system or the entire system has been abductively restructured. My thesis is, first, that the argumentative structure of the pursued problem solution guides abductive creativity and, second, that diagrammatic reasoning—…Read more
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Rezension zu: Hans Jonas, Das Prinzip Verantwortung. Versuch einer Ethik für die technologische Zivilisation, Frankfurt a.M. 1984 (review)Zeitschrift Für Politik 35. 1988.
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Peirces Philosophie der Wissenschaft, Logik und Erkenntnistheorie.(Teil 2)Philosophische Rundschau 51 (4): 296-313. 2004.
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908Diagrammatic Reasoning as the Basis for Developing Concepts: A Semiotic Analysis of Students' Learning about Statistical DistributionEducational Studies in Mathematics 60. 2005.In recent years, semiotics has become an innovative theoretical framework in mathematics education. The purpose of this article is to show that semiotics can be used to explain learning as a process of experimenting with and communicating about one's own representations of mathematical problems. As a paradigmatic example, we apply a Peircean semiotic framework to answer the question of how students learned the concept of "distribution" in a statistics course by "diagrammatic reasoning" and by de…Read more
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146Learning from people, things, and signsStudies in Philosophy and Education 26 (3): 185-204. 2007.Starting from the observation that small children can count more objects than numbers—a phenomenon that I am calling the “lifeworld dependency of cognition”—and an analysis of finger calculation, the paper shows how learning can be explained as the development of cognitive systems. Parts of those systems are not only an individual’s different forms of knowledge and cognitive abilities, but also other people, things, and signs. The paper argues that cognitive systems are first of all semiotic sys…Read more
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Die Philosophie der Mathematik bei Charles S. Peirce im Kontext seines "evolutionären Realismus". Eine Untersuchung zum Peirceschen KontinuitätsprinzipDialektik. Enzyklopädische Zeitschrift Für Philosophie Und Wissenschaften 1994. 1994.
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15This argument map represents an argumentation from Heyns, C. . Report of the Special Rapporteur on extrajudicial, summary or arbitrary executions, Christof Heyns . S.l.: United Nations. Human Rights Council. The argument map is open for debate in AGORA-net, search for map ID 9206
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Einleitung: Semiotik in der Mathematikdidaktik. Lernen anhand von Zeichen und RepräsentationenJournal Für Mathematik-Didaktik 27 171-179. 2006.VG Wort 3740 Anschläge pro Seite
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1Skizze einer semiotischen Theorie des LernensJournal Für Mathematik-Didaktik 22 231-251. 2001.VG Wort 3740 Anschläge pro Seite
Ludwig Maximilians Universität, München
Faculty of Philosophy, Philosophy of Science and Study of Religion
PhD, 1993
Atlanta, Georgia, United States of America
Areas of Interest
Epistemology |
Applied Ethics |
General Philosophy of Science |