What exactly can we understand by "structural mathematics"? Mathematical structures was a concept which dominated images of mathematics of the twentieth century. It was followed by an effort to transpose the work of Nicolas Bourbaki and his contemporaries into high school education. Progress and results of so-called "modernization of school mathematics" were often received with criticism and hesitation. Using didactical-mathematical concepts of constructivism, languages of mathematics and their various representations and instrumental realism we analyze the principal reasons of that failure. Concurrently we show how it is possible to revive its teaching by broader conception of "structuring" in mathematics. So from mathematical structures we gradually pass to structural mathematics.
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:355994 |
| Date | January 2017 |
| Creators | Beran, Filip |
| Contributors | Kvasz, Ladislav, Boček, Leo |
| Source Sets | Czech ETDs |
| Language | Czech |
| Detected Language | English |
| Type | info:eu-repo/semantics/masterThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
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