Ethnomathematics Digital Library (EDL)

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Subject: Applied Mathematics>Mathematics for Humanities>Music

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5 Records

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)

Ethnomathematics, complementarity and Bhutan
by Jerome Turner (1990)
[http://www.ethnomath.org/resources/ISGEm/045.htm]
This presentation to the annual meeting of the National Council of Teachers of Mathematics describes ethnomathematical research conducted in Bhutan from 1986-1988. Results showed that teaching mathematics to elementary students through games, songs, and play is an actualization of the principle of complementarity. Many of the cultural activities of the Bhutanese people involve ethnomathematical practices. Other terms: UNICEF, GOBI project, pedagogy, theory, developing country, propositional theme.
Subject: Applied Mathematics>Mathematics for Humanities>Music,
Applied Mathematics>Mathematics for Social Sciences>Games and Toys,
Cultural Context>Influence of Culture on Learning Mathematics
Geographical area: Bhutan
Cultural group: Bhutanese (Bhote)

Polyrythmies de l'Afrique centrale (d'après Simha Arom)
by Marc Chemillier
[http://users.info.unicaen.fr/~marc/publi/diderot/pygmees.html]
This website contains the text of a presentation on the music of the Aka Pygmies of central Africa. Specifically, the author analyzes certain asymmetrical rythmic structures appearing in the music of this culture. Complex mathematical patterns have been carefully woven into this music. Since these patterns are imperceptible to the listener, the author concludes that they must have been incorporated into the music as a result of mathematical rather than esthetic concerns. (Includes 15 references)
Subject: Applied Mathematics>Mathematics for Humanities>Music,
Instructional Issues>Educational Research
Geographical area: Africa, Central African Republic
Cultural group: African

Rhythm wheels: Fractions, LCM
by Ron Eglash
[http://www.ccd.rpi.edu/Eglash/csdt/latino/rhythm/rhy_intr.htm]
This website offers cultural and historical backgrounds on Latino-Caribbean music, noting that “musical rhythms make use of ratios.” Software is provided to allow users to simulate the rhythms, as well as to create new ones on your own. A tutorial, lesson plan, and teaching materials are also available. (Includes four references)
Subject: Applied Mathematics>Mathematics for Humanities>Music
Geographical area: Caribbean, Cuba, Puerto Rico
Cultural group: Cuban, Puerto Rican

Some notes and legends of a south sea island
by William Burrows (1923)
[http://www.ethnomath.org/resources/burrows1923.pdf]
This report about the Tokelau Group (atolls roughly midway between New Zealand and Hawaii) includes a description of the twelve-point Tokelau compass and the calendar. People have named the winds that blow from the 12 directions (points) on the compass. It is noted that the compass’ “four cardinal points are as usual, but two points occur between each pair of cardinal points.” A list provides the indigenous words for the twelve points. Another list provides the twelve months of the Tokelau calendar with indigenous terminology and concepts that revolve around the appearances of a few species of fish, the commencement of various directional winds, the presence of birds, and the breeding of turtles.
Subject: Applied Mathematics>Mathematics for Humanities>Music,
Numbers and Computation>Measurement>Time>Calendar Development,
Numbers and Computation>Number Concepts>Natural Numbers>Counting
Geographical area: Oceania
Cultural group: Polynesian

The Ethnomathematics Digital Library is a component of the National Science, Technology, Engineering and Mathematics Education Digital Library (NSDL), funded by the National Science Foundation.