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

By Mamokgethi Setati, Abdul Karim Bangura

This can be the 1st accomplished textual content on African arithmetic that may be used to handle a number of the difficult matters during this sector. those matters comprise attitudes, curriculum improvement, academic switch, educational fulfillment, standardized and different assessments, functionality elements, scholar features, cross-cultural adjustments and stories, literacy, local audio system, social type and alterations, equivalent schooling, instructing equipment, wisdom point, academic instructions and regulations, transitional colleges, comparative schooling, different topics akin to physics and social reviews, surveys, expertise, academic study, instructor schooling and skills, educational criteria, instructor effectiveness, lesson plans and modules, instructor features, recommendations, software effectiveness, software overview, African tradition, African background, Black reports, category actions, academic video games, quantity platforms, cognitive skill, international impact, and basic suggestions. What unifies the chapters during this ebook can look relatively banal, yet many mathematical insights are so seen and so basic that they're tricky to soak up, have fun with, and exhibit with clean readability. the various extra uncomplicated insights are remoted by way of bills of investigators who've earned their contemporaries' appreciate.

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In “The Volume of a Truncated Pyramid in Ancient Egyptian Papyri” (1964), Gillings provides a method to derive the formula V = 3(a2 + ab + b2) for the volume of a truncated pyramid, employing only the formula for the volume of a complete pyramid and other methods that the Egyptians had utilized. He also shows how fairly simple arguments sufficed when b = a/2, a/3, . . , and also when b = la. In her book chapter titled “Egyptian Mathematics” (2007), Annette Imhausen presents a selection of sources and discusses the characteristic features of Egyptian Mathematics.

Indb 48 9/7/10 5:04 PM Beginnings of Written Mathematics: Egypt 49 V = (a2 + ab + b2)h/3 Three major explanations have been advanced for how the Egyptians arrived at the correct formula for the volume of a truncated pyramid. The first explanation is that the truncated pyramid was cut up into smaller and simpler solids whose volumes were then estimated before putting them back together. The reduction of the sum of the volumes of all the component solids to the final formula would require a very high degree of algebraic knowledge and sophistication (Joseph 1991/2000:87).

A large proportion of ancient Egyptian calculations utilized such operations. The great emphasis on fractions hinged on two reasons. The first reason is that since the society did not use money, transactions having to be carried out in kind, there was a need for accurate calculations with fractions, particularly in practical problems such as division of food, parceling out land, and mixing different ingredients for beer and bread. e. the process of halving in division often led to fractions (Joseph 1991/2000:66–67).

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