History of Number

This book presents an ecocultural and embodied perspective on understanding numbers and their history in indigenous communities. It focuses on research done in Papua New Guinea, and will help educators understand humanity's use of numbers, and their development and change. The authors focus on indigenous mathematics education in the early years and shine light on the unique processes and number systems of non-European styled cultural classrooms. This new perspective for mathematics education challenges educators who are often ignorant or misguided about the history of number outside of Western traditions, and can help them develop a rich cultural competence in their own practice. § Among the Topics Covered: - The data chief researcher Glendon Angove Lean collected while living in Papua New Guinea before his death in 1995.§ - The diversity of counting system cycles, where they are established and how they may have developed.< - A detailed exploration of number systems other than base 10 systems including: 2-cycle, 5-cycle, 4- and 6-cycle systems, and body-part tally systems.§ - Research collected from major studies such as Geoff Smith's study of Morobe's counting systems, Charly Muke's study of counting of his own language in Waghi Valley in the Jiwaka Province, and Patricia Paraide's documentation of the number and measurement knowledge of her Tolai community. - The implications of viewing early numeracy and ways of catering to diversity in mathematics education. § Researchers and educators interested in the history of mathematical sciences will find History of Number: Evidence from Papua New Guinea and Oceania to be an invaluable resource. §