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928Diagrammatic 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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147Learning 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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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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1Skizze einer semiotischen Theorie des LernensJournal Für Mathematik-Didaktik 22 231-251. 2001.VG Wort 3740 Anschläge pro Seite
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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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320Problems with Peirce's concept of abductionFoundations of Science 4 (3): 271-305. 1999.Abductive reasoning takes place in forming``hypotheses'''' in order to explain ``facts.'''' Thus, theconcept of abduction promises an understanding ofcreativity in science and learning. It raises,however, also a lot of problems. Some of them will bediscussed in this paper. After analyzing thedifference between induction and abduction (1), Ishall discuss Peirce''s claim that there is a ``logic''''of abduction (2). The thesis is that this claim can beunderstood, if we make a clear distinction betw…Read more
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enlarged for homepage Atlanta
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10This argument map presents Paul Loewi’s crucial experiment in which he showed that neural transmissions of signals are chemical in nature, not electrical, in form of an argumentation. The map can be used in science education to show how the formulation of hypotheses should be related to a corresponding determination of experimental designs
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Logical argument mapping: A method for overcoming cognitive problems of conflict managementInternational Journal of Conflict Management 16 304-334. 2005.A crucial problem of conflict management is that whatever happens in negotiations will be interpreted and framed by stakeholders based on their different belief-value systems and world views. This problem will be discussed in the first part of this article as the main cognitive problem of conflict management. The second part develops a general semiotic solution of this problem, based on Charles Peirce's concept of "diagrammatic reasoning." The basic idea is that by representing one 's thought in…Read more
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44The 1903 Classification of Triadic Sign-RelationsDigital Encyclopedia of Charles S. Peirce. 2001.
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8This argument map represents the argumentation of Sparrow, R. . "Just say No" to Drones. IEEE Technology and Society Magazine, M 1932-4529/12, 56-63. doi: 10.1109/MTS.2012.2185275. The argument map is open for debate in AGORA-net, search for map ID 9712
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Die Paradoxie des Lernens und ein semiotischer Ansatz zu ihrer AuflösungZeitschrift Für Semiotik 22. 2000.
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Peirces Philosophie der Wissenschaft, Logik und Erkenntnistheorie. Neuere Publikationen und Editionen.(1. Teil)Philosophische Rundschau 51 (3): 193-211. 2004.Review of about ten books relating to Peirce's philosophy of science, of mathematics, and his logics
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57Climate ethics: Structuring deliberation by means of logical argument mappingJournal of Speculative Philosophy 25 (1): 64-97. 2011.One of the first things President Obama did after coming to office was the establishment of the Office of Public Engagement. As described on its Web site, this office "is the embodiment of the President's goal of making government inclusive, transparent, accountable and responsible." The Office of Public Engagement is supposed to "create and coordinate opportunities for direct dialogue between the Obama Administration and the American public, while bringing new voices to the table and ensuring t…Read more
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Signs in/of CommunicationIn Michael H. G. Hoffmann (ed.), Das Problem der Zukunft im Rahmen holistischer Ethiken. Im Ausgang von Platon und Peirce, Edition Tertium. 1996.
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212Das Problem der Zukunft im Rahmen holistischer Ethiken. Im Ausgang von Platon und PeirceIn Hans Werner Ingensiep & Richard Hoppe-Sailer (eds.), NaturStücke. Zur Kulturgeschichte der Natur, Edition Tertium. 1996.#
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Verzicht auf Wahrheit, Existenz von Tatsachen und die Frage nach der "Radikalität" der "Radikal-Konstruktivistischen Wissenstheorie"Ethik Und Sozialwissenschaften 9. 1998.
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16This argument map reconstructs David Hume's famous skeptical argument in logical form. The argument is open for debate and comments in AGORA-net . Search for map ID 9857
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22Robert Fogelin formulated the thesis “that deep disagreements cannot be resolved through the use of argument, for they undercut the conditions essential to arguing.” The possibility of arguing presupposes “a shared background of beliefs and preferences,” and if such a background is not given, there is no way of “rational” dispute resolution. By contrast to this pessimistic view, I will propose a method that has been developed to overcome difficulties as described by Fogelin.
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Collaborative, problem-based learning with the argument-visualization software “AGORA-net”4th International Conference on Argumentation, Rhetoric, Debate, and the Pedagogy of Empowerment. 2013.
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 |