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.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:vxu-1407 |
| Date | January 2007 |
| Creators | Hatami, Reza |
| Publisher | Växjö universitet, Matematiska och systemtekniska institutionen |
| Source Sets | DiVA Archive at Upsalla University |
| Language | Swedish |
| Detected Language | English |
| Type | Licentiate thesis, monograph, info:eu-repo/semantics/masterThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | Rapporter från MSI, 1650-2647 ; 07005 |
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