Think! Evidence

Matematikens dubbelnatur - undflyende innehåll, självtillräckligt språk

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dc.creator Håkan Lennerstad
dc.date 2005-01-01T00:00:00Z
dc.date.accessioned 2015-07-20T22:11:54Z
dc.date.available 2015-07-20T22:11:54Z
dc.identifier 1102-6472
dc.identifier https://doaj.org/article/ddd88221e68c4076aab2710649766b2d
dc.identifier.uri http://evidence.thinkportal.org/handle/123456789/14793
dc.description This article discusses the role in mathematics of its formal language,here called Mathematish. This language became significant when sym-bolic mathematics gradually replaced rhetoric mathematics. Mathe-matics gained in efficiency and calculation became dominant. It isclaimed that this happened at the expense of mathematical interpreta-tion, except for those who intuitively understand Mathematish. Inlinguistic argumentation it is also claimed that the structure of alanguage is naturally non-articulated for intuitive learners, often teach-ers, while teaching requires articulation. Languages are often exclud-ing. The relationship between content and language in mathematics isdescribed from several viewpoints. Three distinct types of mathemat-ical knowledge are suggested: 1. How to successfully use Mathema-tish rules, 2. Mathematish rules (computer programmable grammar),3. Ideas and meanings of mathematics, e.g. applications and meta-phors. Non-formal ways of hinting at mathematical ideas and mean-ings, shedding light on both Mathematish and content, are suggested.
dc.language Swedish
dc.language Danish
dc.language Norwegian
dc.language English
dc.publisher Örebro University
dc.relation http://www.oru.se/Extern/Forskning/Forskningsmiljoer/HumUS/Utbildning_och_Demokrati/Tidskriften/2005/Nr%202_2005_pdf/Lennerstad.pdf
dc.relation https://doaj.org/toc/1102-6472
dc.source Utbildning & Demokrati : Tidsskrift för Didaktik och Utbildningspolitik, Vol 14, Iss 2, Pp 27-55 (2005)
dc.subject Education (General)
dc.subject L7-991
dc.subject Education
dc.subject L
dc.subject DOAJ:Education
dc.subject DOAJ:Social Sciences
dc.subject Education (General)
dc.subject L7-991
dc.subject Education
dc.subject L
dc.subject DOAJ:Education
dc.subject DOAJ:Social Sciences
dc.subject Education (General)
dc.subject L7-991
dc.subject Education
dc.subject L
dc.subject Education (General)
dc.subject L7-991
dc.subject Education
dc.subject L
dc.subject Education (General)
dc.subject L7-991
dc.subject Education
dc.subject L
dc.title Matematikens dubbelnatur - undflyende innehåll, självtillräckligt språk
dc.type article


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