Download e-book for iPad: African Mathematics: From Bones to Computers by Mamokgethi Setati, Abdul Karim Bangura

By Mamokgethi Setati, Abdul Karim Bangura

ISBN-10: 0761853480

ISBN-13: 9780761853480

ISBN-10: 0761853499

ISBN-13: 9780761853497

This can be the 1st accomplished textual content on African arithmetic that may be used to deal with a number of the problematical matters during this region. those matters comprise attitudes, curriculum improvement, academic switch, educational fulfillment, standardized and different checks, functionality elements, scholar features, cross-cultural ameliorations and reviews, literacy, local audio system, social classification and changes, equivalent schooling, instructing tools, wisdom point, academic instructions and guidelines, transitional faculties, comparative schooling, different matters comparable to physics and social reviews, surveys, expertise, academic examine, instructor schooling and skills, educational criteria, instructor effectiveness, lesson plans and modules, instructor features, directions, software effectiveness, application assessment, African tradition, African background, Black reviews, category actions, academic video games, quantity structures, cognitive skill, overseas impression, and basic ideas. What unifies the chapters during this e-book can seem really banal, yet many mathematical insights are so visible and so basic that they're tricky to take in, have fun with, and exhibit with clean readability. a few of the extra easy insights are remoted by means of money owed of investigators who've earned their contemporaries' recognize.

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For example, in the Kwanyama language (southwestern Africa), one finds the following: 6 tano-na-mwe 7 tano-na-vali 8 tano-na-tatu 9 tano-na-ne In other cases, the composition of one with five to express six may not be so obvious. As Maurice Dalafosse (1929) observes, in the Malinke language spoken on the upper Niger River, six is expressed by woro or wolo, where wo is an abbreviation of the word for five and ro or lo is a shortened form of one (also cited in Zaslavska 1973/1999:41). In many African languages, the words for six through nine are derived directly from the gestures of these numbers and are based on several different systems of gesture counting.

Gerdes’ first example is a traditional decorative design from Mozambique. He links four corresponding points on the circles by straight line segments and obtains a square. The corresponding points of intersection of these segments with the circles are also the vertices of a square. Instead of linking the four neighboring points of intersection points, Gerdes links the opposed intersection points and obtains a cross that divides the first square into four congruent parts. Both designs produced in this way lead easily to the Pythagorean proposition.

While this process was more taxing on memory, its economy, speed, conciseness and greater suitability for writing with pen and ink must have precipitated its early adoption in ancient Egypt. From the point of view of the history of Mathematics, the hieratic system may have inspired the development of the alphabetic Greek number system around the middle of the first millennium BC (Joseph 1991/2000:62-63). A great feat of the Egyptian method of duplication or division is that it requires prior knowledge of only addition and the two times table.

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African Mathematics: From Bones to Computers by Mamokgethi Setati, Abdul Karim Bangura

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