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Reguladetri - En retorisk räknemetod speglad i svenska läromedel från 1600-talet till början av 1900-talet
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
2007 (Swedish)Licentiate thesis, monograph (Other academic)
Abstract [sv]

Abstract

In this dissertation the most common methods of solution, in which

The Rule of Three is included, are presented. The Rule of Three tasks

have been considered in various manners during the centuries. This

dissertation examines how The Rule of Three, as a rhetorical method

of calculus, is presented in Swedish textbooks from the 17th century

till the beginning of the 20th century. Moreover, a comparative

analysis, of The Rule of Three tasks and their solutions, is presented.

In addition, a variety of other rules are presented and treated as

examples of rhetorical mathematics. Similar to The Rule of Three,

these rules are built on proportionality.

The tradition that Björk started in using proportionality was continued

by Celsius, Beckmarck and Forsell and later by Björling and

Zweigbergk. Zweigbergk’s textbook is excellent from a mathematical

as well as from a pedagogical point-of-view. In Zweigbergks’s

account of Regula de Tri the emphasis is on comprehension and

mechanical skills.

The results of this thesis show that the textbooks can be divided into

three groups, based on their description of The Rule of Three. Group:

1. Include the (textbook) authors who strongly emphasize

algorithms and mechanical arithmetics.

2. Include the (textbook) authors who build their descriptions of

The Rule of Three on the theory of proportion.

3. Include the (textbook) authors who solve The Rule of Three

problems through going back to the unit.

Place, publisher, year, edition, pages
2007. , p. 213
Series
Reports from MSI, ISSN 1650-2647 ; 07005
Keywords [sv]
Matematikdidaktik, Reguladetri
National Category
Mathematics
Identifiers
URN: urn:nbn:se:vxu:diva-1407OAI: oai:DiVA.org:vxu-1407DiVA, id: diva2:205218
Supervisors
Available from: 2007-06-26 Created: 2007-06-26 Last updated: 2010-03-10Bibliographically approved

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fulltext(1160 kB)3678 downloads
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a62425bd56e66aca2d4fa20cefe5ab1273543f285712228bcd39c86e03625bda5c7029d3
Type fulltextMimetype application/pdf

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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  • asciidoc
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