<p>Abstract</p><p>In this dissertation the most common methods of solution, in which</p><p>The Rule of Three is included, are presented. The Rule of Three tasks</p><p>have been considered in various manners during the centuries. This</p><p>dissertation examines how The Rule of Three, as a rhetorical method</p><p>of calculus, is presented in Swedish textbooks from the 17th century</p><p>till the beginning of the 20th century. Moreover, a comparative</p><p>analysis, of The Rule of Three tasks and their solutions, is presented.</p><p>In addition, a variety of other rules are presented and treated as</p><p>examples of rhetorical mathematics. Similar to The Rule of Three,</p><p>these rules are built on proportionality.</p><p>The tradition that Björk started in using proportionality was continued</p><p>by Celsius, Beckmarck and Forsell and later by Björling and</p><p>Zweigbergk. Zweigbergk’s textbook is excellent from a mathematical</p><p>as well as from a pedagogical point-of-view. In Zweigbergks’s</p><p>account of Regula de Tri the emphasis is on comprehension and</p><p>mechanical skills.</p><p>The results of this thesis show that the textbooks can be divided into</p><p>three groups, based on their description of The Rule of Three. Group:</p><p>1. Include the (textbook) authors who strongly emphasize</p><p>algorithms and mechanical arithmetics.</p><p>2. Include the (textbook) authors who build their descriptions of</p><p>The Rule of Three on the theory of proportion.</p><p>3. Include the (textbook) authors who solve The Rule of Three</p><p>problems through going back to the unit.</p>
| Identifer | oai:union.ndltd.org:UPSALLA/oai:DiVA.org:vxu-1407 |
| Date | January 2007 |
| Creators | Hatami, Reza |
| Publisher | Växjö University, School of Mathematics and Systems Engineering |
| Source Sets | DiVA Archive at Upsalla University |
| Language | Swedish |
| Detected Language | English |
| Type | Licentiate thesis, monograph, text |
| Relation | Rapporter från MSI, 1650-2647 ; 07005 |
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