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Full-Text Articles in Education
Cognitive Effects Of Argument Visualization Tools, Michael H.G. Hoffmann
Cognitive Effects Of Argument Visualization Tools, Michael H.G. Hoffmann
Michael H.G. Hoffmann
External representations play a crucial role in learning. At the same time, cognitive load theory suggests that the possibility of learning depends on limited resources of the working memory and on cognitive load imposed by instructional design and representation tools. Both these observations motivate a critical look at Computer-Supported Argument Visualization (CSAV) tools that are supposed to facilitate learning. This paper uses cognitive load theory to compare the cognitive efficacy of RationaleTM 2 and AGORA.
Learning From People, Things, And Signs, Michael H.G. Hoffmann
Learning From People, Things, And Signs, Michael H.G. Hoffmann
Michael H.G. Hoffmann
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 systems since they are dependent on signs and representations as mediators. The two main questions discussed here are how the external world constrains and …
The Complementarity Of A Representational And An Epistemological Function Of Signs In Scientific Activity, Michael H.G. Hoffmann, Wolff-Michael Roth
The Complementarity Of A Representational And An Epistemological Function Of Signs In Scientific Activity, Michael H.G. Hoffmann, Wolff-Michael Roth
Michael H.G. Hoffmann
Signs do not only “represent” something for somebody, as Peirce’s definition goes, but also “mediate” relations between us and our world, including ourselves, as has been elaborated by Vygotsky. We call the first the representational function of a sign and the second the epistemological function since in using signs we make distinctions, specify objects and relations, structure our observations, and organize societal and cognitive activity. The goal of this paper is, on the one hand, to develop a model in which both these functions appear as complementary and, on the other, to show that this complementarity is essential for the …
Learning By Developing Knowledge Networks. A Semiotic Approach Within A Dialectical Framework, Michael H.G. Hoffmann, Wolf-Michael Roth
Learning By Developing Knowledge Networks. A Semiotic Approach Within A Dialectical Framework, Michael H.G. Hoffmann, Wolf-Michael Roth
Michael H.G. Hoffmann
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 development of knowledge networks that mark the starting point for learning processes, and we use semiotics to discuss (a) the epistemological thesis that any cognitive access to our world of objects is mediated by signs and (b) diagrammatic reasoning and abduction as those …
Peirce's "Diagrammatic Reasoning" As A Solution Of The Learning Paradox, Michael H.G. Hoffmann
Peirce's "Diagrammatic Reasoning" As A Solution Of The Learning Paradox, Michael H.G. Hoffmann
Michael H.G. Hoffmann
How can we reach “new” levels of knowledge if “new” means that there is something “evolved” that cannot be generated simply by deduction or by induction from what has been given before. The paper’s first goal is to show that two paradigmatic attempts at solving this so-called “learning paradox,” Plato’s apriorism and Aristotle’s inductivism, form two horns of a dilemma: While the inductivist cannot justify any representation of data without assuming a priori given hypotheses, the apriorist cannot justify why a certain application of given ideas is correct without being caught in an infinite regress. The second goal is to …
Lernende Lernen Abduktiv: Eine Methodologie Kreativen Denkens, Michael H.G. Hoffmann
Lernende Lernen Abduktiv: Eine Methodologie Kreativen Denkens, Michael H.G. Hoffmann
Michael H.G. Hoffmann
No abstract provided.
Die Paradoxie Des Lernens Und Ein Semiotischer Ansatz Zu Ihrer Auflösung, Michael H.G. Hoffmann
Die Paradoxie Des Lernens Und Ein Semiotischer Ansatz Zu Ihrer Auflösung, Michael H.G. Hoffmann
Michael H.G. Hoffmann
No abstract provided.
Mathematik Als Prozess Der Verallgemeinerung Von Zeichen: Eine Exemplarische Unterrichtseinheit Zur Entdeckung Der Inkommensurabilität, Michael H.G. Hoffmann, Manfred Plöger
Mathematik Als Prozess Der Verallgemeinerung Von Zeichen: Eine Exemplarische Unterrichtseinheit Zur Entdeckung Der Inkommensurabilität, Michael H.G. Hoffmann, Manfred Plöger
Michael H.G. Hoffmann
No abstract provided.
Erkenntnistheoretische Grundlagen Des Lernens: Lernen Als Verallgemeinerung, Michael H.G. Hoffmann
Erkenntnistheoretische Grundlagen Des Lernens: Lernen Als Verallgemeinerung, Michael H.G. Hoffmann
Michael H.G. Hoffmann
Ziel dieses Beitrages ist es, ein Projekt der am Institut für Didaktik der Mathematik (IDM) in Bielefeld beheimateten Arbeitsgruppe Erkenntnistheoretische und semiotische Grundlagen des Mathematik-Lernens vorzustellen und in eine bestimmte Richtung mathematikdidaktischer Forschung einzuordnen, wie sie von Michael Otte vertreten wird, dem Leiter der genannten Arbeitsgruppe. Dabei geht es insbesondere um mögliche Beziehungen zwischen Philosophie und Mathematik-Didaktik.