TY - CHAP

T1 - The tapestry of mathematics- Connecting threads

T2 - A case study incorporating ecologies, languages and mathematical systems of Papua New Guinea

AU - Owens, Kay

N1 - Kay Owens has been researching with Papua New Guinea colleagues in Papua New Guinea for 50 years and has an extensive list of references on these topics.
Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2022.

PY - 2023/2/15

Y1 - 2023/2/15

N2 - Tapestries interweave strands and colours to create beauty. Mathematics is created through time and place to provide beautiful systems of patterns and purposes. One such place of diverse ecologies and languages that spans thousands of years of intact cultures is Papua New Guinea (PNG). Its diversity of places and peoples with ancient cultures has created a mathematical tapestry. This chapter expands on a small section of this tapestry to challenge most Indo-European views of the beginnings of mathematics such as number systems and mathematical reasoning. Archaeological linguistics, local environments and ecology, sociology of economics, sociopolitical expectations, and mathematical ways of reasoning form threads to create sections of the tapestry. These pieces provide examples of ethnomathematics valuing Indigenous knowledges as mathematical and as important for all societies both within PNG and around the world. Alternative ways of understanding mathematics assist in creating new pieces of the tapestry of mathematics.

AB - Tapestries interweave strands and colours to create beauty. Mathematics is created through time and place to provide beautiful systems of patterns and purposes. One such place of diverse ecologies and languages that spans thousands of years of intact cultures is Papua New Guinea (PNG). Its diversity of places and peoples with ancient cultures has created a mathematical tapestry. This chapter expands on a small section of this tapestry to challenge most Indo-European views of the beginnings of mathematics such as number systems and mathematical reasoning. Archaeological linguistics, local environments and ecology, sociology of economics, sociopolitical expectations, and mathematical ways of reasoning form threads to create sections of the tapestry. These pieces provide examples of ethnomathematics valuing Indigenous knowledges as mathematical and as important for all societies both within PNG and around the world. Alternative ways of understanding mathematics assist in creating new pieces of the tapestry of mathematics.

KW - Papua New Guinea

KW - Mathematics and languages

KW - Kula trade and art

KW - Time, place and economy

KW - ethnomathematics

KW - Classifications in mathematics

KW - Counting systems

KW - Ethnomathematics

UR - http://www.scopus.com/inward/record.url?scp=85159132285&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85159132285&partnerID=8YFLogxK

UR - https://link.springer.com/book/10.1007/978-3-030-97482-4

U2 - 10.1007/978-3-030-97482-4_7

DO - 10.1007/978-3-030-97482-4_7

M3 - Chapter (peer-reviewed)

SN - 9783030974817

SP - 183

EP - 220

BT - Indigenous knowledge and ethnomathematics

A2 - Vandendriessche, Eric

A2 - Pinxten, Rik

PB - Springer

CY - Cham, Switzerland

ER -