penta-vigesimal (10. 678)

Whilst mathematics is universal, there is no monopoly on notation and alternative numbering systems certainly do yield insight on cognition, computation and reckoning parallels. The Western hemisphere’s first new notational system in over a century was developed in the early 1990s, we learn via Clive Thompson’s Linkfest (previously), by a small class of middle school and high school students as part of maths enrichment project in Katovik, Alaska, noting that they didn’t have the numbers to represent all the numbers in Iñupiaq in Arabic-Hindi numerals alone for their base-twenty counting, scores used in Danish, French and for some other Inuit family languages), devising and refining a method of arithmetically representing all the native values reckoned on all one’s fingers and toes, with positional correspondence derived from native terms—for example, tallimat (5) coming from taliq (arm) for all of one’s five digits, iñuiññaq (20) meaning a whole person or the glyph for zero or null a gesture of negation. A marked increase in scores on standardised mathematics tests for indigenous communities using notational systems that more closely match their ethnographic heritage not only helps with student achievement but demonstrates for all involved that numeracy is embedded within their culture and not something imparted by western hegemony. Learn more at the links above.