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

By Mamokgethi Setati, Abdul Karim Bangura

This is often the 1st accomplished textual content on African arithmetic that may be used to deal with a few of the difficult concerns during this sector. those concerns contain attitudes, curriculum improvement, academic swap, educational success, standardized and different checks, functionality components, scholar features, cross-cultural ameliorations and reports, literacy, local audio system, social type and adjustments, equivalent schooling, instructing tools, wisdom point, academic directions and regulations, transitional colleges, comparative schooling, different topics similar to physics and social experiences, surveys, expertise, academic examine, instructor schooling and skills, educational criteria, instructor effectiveness, lesson plans and modules, instructor features, directions, software effectiveness, application evaluate, African tradition, African heritage, Black reports, type actions, academic video games, quantity structures, cognitive skill, international effect, and basic techniques. What unifies the chapters during this booklet can look relatively banal, yet many mathematical insights are so noticeable and so primary that they're tricky to take in, delight in, and exhibit with clean readability. a number of the extra easy insights are remoted via debts of investigators who've earned their contemporaries' appreciate.

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Loomis provides 370 different proofs, each requiring its own figure, and he encourages others to find new proofs (1940/1972:13, 269). Gerdes’ reflection on a widespread African decorative motif leads him not only to an alternative, active way of introducing the Pythagorean proposition, but also to the generation of an infinite number of proofs of the theorem. For the toothed squares, Gerdes counts the number of unit squares in each of the horizontal rows. indb 28 9/7/10 5:04 PM Geometry South of the Sahara 29 1 + 2 + 3 + 4 + 3 + 2 + 1 = 42, or, taking into account the visionary line: (1 + 2 + 3 + 4) + (3 + 2 + 1) = 42.

Every integer can be expressed as the sum of integral powers. Thus, 15 = 20 + 21 + 22 + 23 23 = 20 + 21 + 22 + 24 The confidence with which the ancient Egyptians approached all forms of multiplication by this process suggests that they were aware of this general rule (Joseph 1991/2000:63-64). This ancient method of multiplication was the foundation for Egyptian calculation. The Greeks employed it with some modification and it continued to be used by Europeans well into the Middle Ages. A modern variation of the method is still popular among rural communities in Russia, Ethiopia and the Near East (Joseph 1991/2000:65).

Fletcher examines which units might have been utilized in the problem and proffers the postulate that the basket in question was in reality hemispherical and was designed to hold 100 Hekat of corn. Furthermore, he points out that the units utilized in ancient Egypt appear to have some interesting geometrical properties. An example is that a circle with a radius of 1 pes (or 1 “foot” = 16 digits) was approximately equal in area to a square with sides measuring 1 royal cubit. In two essays, R. J.

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