The role of technology for the development and use of mathematical understanding

Die Entwicklung der Corona-Infektionszahlen in Österreich werden für eine mathematische Datenanalyse genutzt und wichtige Begriffe der Analysis hergeleitet (in engl. Sprache).

Publisher: T³ Europe

Author: Helmut Heugl

Topic:  Mathematics


Anhand der Analyse eines Datensatzes der Entwicklung der Corana-Infektionszahlen in Österreich werden wichtige mathematische Verfahren und Begriffe entdeckt und hergeleitet:
Problemlösen, Modellierung mit Regression, exponentielles Wachstum, Differenzenquotient, Ableitung, Wachstumsrate, Verdopplungsregel bei expoentiellem Wachstum.

Der Artikel ist in englischer Sprache verfasst und basiert auf einem Vortrag anlässlich der virtuellen Konferenz Sharing Inspiration 2021

Aus dem Vorwort:

The most topical problem at the moment is the Corona pandemic. So many data are published and even politicians try to explain the exponential growth – not always successful.  A great advantage of technology in problem solving is the use of larger amounts of data.

The paper falls into two parts:

  1. Part 1: What can we learn from Mathematics about Corona?
  2. Part 2: What can we learn from Corona about mathematics?

Didactical comments:

  • Favorable for the stimulation of elaborative learning is that the given problem is also interesting for the students.
  • In the classroom one would start with open questions. Students should at first discuss what tasks are interesting or possible.
  • It is not enough to use technology as a black box for calculating and for experimenting. More than ever an exactifying learning phase is necessary.
  • The experimental learning phase often at first possible when using technology must not replace the exactifying phase, it must prepare it or show the necessity.
  • The goal of mathematics is not only to learn something about the applied problem it is also necessary to learn and to understand the used mathematics.

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