The present empirical study deals with the question of the (world) view of mathematics (i.e. the image of mathematics) held by university mathematics teachers in countries of German as a first lan-guage. The basis of this study is a voluntary survey by means of a closed questionnaire of 119 persons during an annual meeting of mathematicians. This questionnaire was on the whole employed for two other studies on mathematics teachers (N= 300) and pupils (N=1650). Four to five dimensions were defined by means of factor analysis and subsequently verified as relevant dimensions of the view of mathematics. These dimensions can be called the formalism aspect, the schema aspect, the process aspect, the application aspect and the Platonism aspect of mathematics. Attitudes towards these aspects differ on average, so that the "average" view of mathematics of university teachers is clearly accentuated in these five aspects. The process aspect acclaims the highest agreement, whereby the aspects formalism and application claim an average to above average assessment. In contrast, the Platonic aspect receives only weak to very weak agreement, and the schema aspect is on the whole rejected. Furthermore the structure of the view of mathematics resulting out of the relations between the dimensions is investigated. The part of the view of mathematics that is considered here contains two different viewpoints in content, namely the static view of mathematics as a system and the dynamic view of mathematics as a process. In contrast to the observa-tions in the other two populations the two viewpoints are not opposites. Mathematics is in the view of university teachers a comple-mentary toge-therness of both viewpoints. Their view of mathematics is insofar broader differentiated than the two other populations.
| Identifer | oai:union.ndltd.org:DUETT/oai:DUETT:duett-05272002-102811 |
| Date | 27 May 2002 |
| Creators | Grigutsch, Stefan & Toerner, Guenter |
| Contributors | none |
| Publisher | Gerhard-Mercator-Universitaet Duisburg |
| Source Sets | Dissertations and other Documents of the Gerhard-Mercator-University Duisburg |
| Language | German |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://www.ub.uni-duisburg.de/ETD-db/theses/available/duett-05272002-102811/ |
| Rights | unrestricted, I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. Hiermit erteile ich der Universitaet Duisburg das nicht-ausschliessliche Recht unter den unten angegebenen Bedingungen, meine Dissertation, Staatsexamens- oder Diplomarbeit, meinen Forschungs- oder Projektbericht zu veroeffentlichen und zu archivieren. Ich behalte das Urheberrecht und das Recht das Dokument zu veroeffentlichen und in anderen Arbeiten weiterzuverwenden. |
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