Vortrag: Humanizing Mathematics: a Semiotic Approach

Stammdaten
Titel: Humanizing Mathematics: a Semiotic Approach
Beschreibung: The trivial fact that mathematics is a human activity is interpreted by viewing it as a semiotic activity with (systems of) signs and diagrams. Organizing learning as the progressive participation in this social practice with and on signs is deemed to make mathematics more accessible and intelligible and less often a cause of anxiety and frustration. Under all circumstances mathematics is done and produced by human beings. Any calculation, algorithm, proof, formulation of a theorem, drawing of a diagram, inferring a consequence from assumptions, etc., all this plainly and observably is carried out by somebody. And this somebody always is a member of a social context. Thus, mathematics is deeply and genuinely human. A question, often discussed and never resolved, then is if this human mathematics refers to, or is about, something essentially different from what we human mathematicians produce. As longs as mathematics, like in ancient Egypt or Mesopotamia, consists of a collection of recipes to solve (everyday life) problems this question is not asked. This might be so since the mathematical signs used have natural and immediate referents. But in more detached and generalized settings a kind of desire appears for genuine mathematical objects as referents for the used signs. This desire leads to well-known solutions ranging from Platonism to Empiricism. But, one should be aware that also all these kinds of ontology are devised by human thinkers, even if they postulate extremely non-human origins of mathematics. My first and basic thesis thus is: • Make the learners aware of the human origin and nature of all of mathematics and of all that is said about mathematics.
Schlagworte:
Typ: Vortrag auf Einladung
Homepage: -
Veranstaltung: PME 31 (Seoul, National University)
Datum: 11.07.2007
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Willibald Dörfler
Willi.Doerfler@aau.at
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