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Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry

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Baskets in Polynesia by Wendy Arbeit (1990) [http://www.ethnomath.org/resources/arbeit1990.html] This book describes the basket weaving craft of the Pacific islands, focusing on the east and central parts of the South Pacific basin (or central Polynesia), including the “transition zone” of Fiji where both Melanesian and Polynesian influences can be found. Separate chapters are devoted to Fiji, Tonga, Samoa, Cook Islands, and French Polynesia. Evidence of basket style uniformity in this region may reflect early patterns of migration and voyage. It is noted that New Zealand, Easter Island, and the Hawaiian Islands are not covered, left for separate researches or investigations. Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving, Cultural Context>Cultural Awareness Geographical area: Fiji, Oceania, Samoa (Western), Tonga Cultural group: Fijian, Oceanian, Polynesian, Samoan (Western), Tongan Ethnomathematics unit developed by Katherine Patterson by Katherine Patterson (2002) [http://www.ecsu.ctstateu.edu/depts/edu/projects/ethnomath.html] This website offers numerous links to articles on ethnomathematics and lesson plans incorporating various cultures. Topics cover multicultural mathematics education, ethnomathematics, the history of mathematics, mathematicians, time and measurement, systems of numeration, lesson plans, basketry, games, and various topics in geometry, including carpets, ironwork, knots, masks, music, origami and paper folding, stained glass, textiles, sewing, quilting, embroidery, sacred geometry, stonework, tattoo, and tesesellations. Other terms: agriculture, war, cartography. (Includes 289 weblinks) Subject: Applied Mathematics>Mathematical Biology>Agriculture, Applied Mathematics>Mathematical Sociology>Religious Practices, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Clothing Design, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Embroidery, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Quilting, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Sewing, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Tattooing, Body Painting, and Body Adornment, Applied Mathematics>Mathematics for Humanities>Music, Applied Mathematics>Mathematics for Social Sciences>Games and Toys, Cultural Context>Cultural Perspectives on Mathematics, Geometry and Topology, Geometry and Topology>Plane Geometry>Patterns>Tilings and Tessellations, Geometry and Topology>Plane Geometry>Measurement (Plane Geometry), Instructional Issues>Instructional Materials, Mathematics History>Biographies of Mathematicians, Numbers and Computation>Measurement>Time>Calendar Development, Numbers and Computation>Number Concepts>Natural Numbers>Counting, Numbers and Computation>Number Concepts>Natural Numbers>Number Systems (Natural), Numbers and Computation>Measurement (Arithmetic) Etnomatematica como acao pedagogica: algumas reflexoes sobre a aplicacao da etnomatematica entre Sal Paulo e California by Daniel Orey [http://www.csus.edu/indiv/o/oreyd/papers/etnocompacped.html] In this paper, Orey describes his experience learning about ethnomathematics as a visiting scholar at the Pontificia Universidade Catolica de Campinas in Campinas, Brazil, in 1998 and the many ways he has applied ethnomathematics as a form of pedagogical action in California. He describes the cultural diversity in California, as well as its many similarities with São Paulo. Modeling is the main tool for applying mathematics in the classroom and training researchers to gather data useful in ethnomathematics. Ten steps in the modeling process are outlined, as well as ten specific goals that link the ethnomathematics program with school curricula in California. Modeling is a teaching approach that has the potential to engage students and to help them see the value and utility of mathematics and develop critical thinking skills. Other terms: Native Americans, Navajos, Logo, computers, Mayans, Guatemala, tipis, algorithms, problem solving. (Includes 21 references) Subject: Applied Mathematics>Engineering Mathematics>Architecture and Building, Applied Mathematics>Mathematical Biology>Agriculture, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry, Applied Mathematics>Modeling, Cultural Context>Cultural Diversity, Instructional Issues>At-Risk Students, Instructional Issues>Educational Research Geographical area: Brazil, California (United States) Cultural group: Brazilian, Mayan (Native American - Mexico and Central America), Native American (United States) Indigenous basketry of Sarawak (2000) [http://www.museum.sarawak.gov.my/basketryfile/mid.htm] This page is part of the Sarawak Museum, providing descriptions and photos of traditional baskets woven in Sarawak, Malaysia on the island of Borneo. The indigenous peoples of Borneo use basketry in agriculture and ritual ceremonies, making them out of bamboo, rattan, leaves, palms, or reed. The baskets come in all shapes and sizes: conical, round-topped, cylindrical back pack baskets, those with unusual hexagonal weaves, or others with four vertical sticks that serve as side legs. In the days when headhunting was prevalent, heads were stored in a type of basket similar to Chantong with a drum-like cover. The various baskets provide a fascinating subject of exploration in geometric designs and patterns. Subject: Applied Mathematics>Engineering Mathematics>Design and Construction of Household Items, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry, Cultural Context>Cultural Diversity, Geometry and Topology>Plane Geometry>Patterns>Geometric Patterns Geographical area: Malaysia Cultural group: Malay (Malaysia) Maori plaited basketry and plaitwork. 1: mats, baskets, and burden-carriers by Peter Buck (1923) [http://www.ethnomath.org/resources/buck1923.pdf] This article provides detailed diagrams and photographs showing the manufacture of checker-work and twill-work patterns for mats, baskets (kete), and burden-carriers (kawe). Data was compiled from a subtribe of the Whanganui Tribe who lived along a river of the same name. Explanations are provided covering the definition of terms, the preparation and manufacturing processes, as well as the use of the baskets. It is noted that many variations of basketry and plaiting existed among New Zealand tribes, and over 70 words or names are listed in Williams’s Maori Dictionary for baskets alone. (Includes 9 references) Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving Geographical area: New Zealand Cultural group: Maori Maori plaited basketry and plaitwork. 2: belts and bands, fire-fans and fly-flaps, sandals and sails by Peter Buck (1924) [http://www.ethnomath.org/resources/buck1924.pdf] This article, which follows Part I, provides detailed descriptions, illustrations, and photographs showing the plaiting patterns for headbands (tipare), men's and women's belts, cooking bowls, fire-fans, fly-flaps or whisks, sandals, and sails of New Zealand tribes. (Includes 11 references) Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving, Numbers and Computation>Measurement>Units of Measurement Geographical area: New Zealand Cultural group: Maori Mathematics used by American Indians north of Mexico by G Allen [http://www.math.tamu.edu/~don.allen/history/american/american.html] This web page provides a brief discussion of sacred numbers and methods of counting used by various groups of American Indians. Illustrations of the geometric designs used as ornamentation are included. For an example the Apaches used trapezoids and the Mojave used hexagons. Other terms: pottery, triangles, mounds, and Native American. Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design, Cultural Context>Cultural Perspectives on Mathematics Geographical area: Mexico Cultural group: Native American (United States) SimShoBan technologies: first draft prototypes by Ron Eglash (2003) [http://www.ccd.rpi.edu/Eglash/csdt/na/shoban/overview.html] This website contains SimShoBan Technologies first draft prototype. One Java demo is working for a spring fish weir. Maple downloads are available for camus basket and winnowing basket. Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry Geographical area: United States of America Symmetry aspects of Mavuku baskets among the Makhuwa (Mozambique) by Paulus Gerdes (2001) [http://www.ethnomath.org/resources/gerdes2001a.pdf] This study presents an analysis of mavuku baskets which are part of the Mozambican Ethnomathematics Research Centre collection. Few basket weavers are known to produce the mavuku baskets today. Symmetry aspects of the baskets are examined, including weaving structure, discontinuity lines or symmetry axes, concentric toothed squares, and multicentric structures. “Mavuku weavers explore, globally and locally, rotational and bilateral symmetries.” The Makhuwa people live in northern Mozambique and parts of Tanzania. In analyzing the symmetry-mathematical aspects of twill-plaited baskets, the report proposes a theme to be explored in ethnomathematics and symmetry research. Other terms: twilling, plaiting, nivuku. (Includes 15 references) Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry, Geometry and Topology>Plane Geometry>Patterns>Symmetry, Instructional Issues>Educational Research Geographical area: Mozambique Cultural group: Mozambican The craft of Hawaiian lauhala weaving by Adrian Bird (1982) [http://www.ethnomath.org/resources/bird1982.html] This book introduces the craft of weaving or plaiting lauhala, the leaves of the hala tree. The ancient craft is seen all over the Pacific, including Samoa, Tonga, Fiji, Marshall Islands, and the Caroline Islands. In Hawaii, a variety of items are made from the leaves – from mats, pillows, and mattresses to sails, purses, baskets, sandals, hats, fans, and much more. Chapters are devoted to projects involving the plaiting of headbands, place mats, baskets, a lauhala fan, and bracelets and napkin rings. Provides a point of departure in exploring aspects of Pacific island culture and studies related to ethnic patterns; and includes weaving terms and step-by-step directions to prepare the lauhala. Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving, Cultural Context, Numbers and Computation>Patterns and Sequences (Arithmetic) Geographical area: Hawaii (United States) Cultural group: Hawaiian