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Culture: Quechua (Native American - South America)

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Elements of analysis in Quichua and Spanish (Elementos de análisis en matemáticas Quichua y Castellano) (review)
by Rick Scott (1986)
[http://www.ethnomath.org/resources/ISGEm/025.htm]
This review of Elementos de análisis en matemáticas Quichua y Castellano, published in 1984 by the Pontificia Universidad Catolica de Ecuador in Quito (mimeograph), describes the essential differences between math education in Quicha and Spanish. One key difference is that Quichua mathematics is tied to real life social applications; another is that Quichua more clearly shows the place value of each digit in the base ten numeration system. Differences in conceptions of the number line are also explained. Curriculum development is recommended to bring these differences into the classroom. Other terms: quantities, mental calculation, graneo, contador del canar.
Subject: Cultural Context>Influence of Culture on Teaching Mathematics>Culturally-based Instruction,
Cultural Context>Influence of Culture on Learning Mathematics,
Instructional Issues>Mathematical Language,
Mathematical Tools and Devices>Canar counter,
Numbers and Computation>Arithmetic

Geographical area: Ecuador
Cultural group: Quechua (Native American - South America)

Geometry step by step from the land of the Incas
by Antonio Gutierrez
[http://agutie.homestead.com]
This website provides a mix of sound, science, and Incan history, designed to stir up interest in Euclidean geometry. It offers a wide assortment of geometry quizzes, puzzles, and scientific speculation. A new version of Miquel’s Pentagram Theorem, first published by Auguste Miquel in 1838, is now available, made into an interactive proof with animation and key theorems. Other theorems, problems, and proofs, as well as a section devoted to Inca Geometry can be explored. Other terms: parallelogram, Nazca, Bevan, Pythagoras, fractal, Archimedes, Rhombicuboctahedron, Machu Picchu, Euler, Sangaku, isoceles.
Subject: Cultural Context>Cultural Perspectives on Mathematics,
Geometry and Topology>Plane Geometry>Patterns>Geometric Patterns,
Geometry and Topology>Plane Geometry>Patterns>Symmetry,
Geometry and Topology>Plane Geometry>Patterns>Tilings and Tessellations,
Geometry and Topology>Plane Geometry>Triangles>Properties (Triangles),
Geometry and Topology>Plane Geometry>Triangles>Pythagorean Theorem,
Geometry and Topology>Plane Geometry>Polygons,
Mathematical Tools and Devices>Khipu (Quipu),
Mathematics History

Geographical area: Central America, South America
Cultural group: Aztecs (Native American - Mexico), Inca (Native American - South America), Mayan (Native American - Mexico and Central America), Quechua (Native American - South America)

Have you seen (ISGEm Newsletter, Volume 7, Number 1, January 1992)
by Rick Scott (1992)
[http://www.ethnomath.org/resources/ISGEm/058.htm]
This bibliography contains reviews of a book in Portuguese that presents a vision of ethnomathematics; a document of Quechua words to be standardized in the mathematics class; an overview of mathematics education of Peruvian Indians; a book on IQ, class, race, and gender; a curriculum dealing with apartheid; and an article on multicultural education. Other keywords: middle grades, South Africa, inequality, values, alternative methodologies, trends, bilingual education, interculturalism, aptitude tests, Binet tests, circular homes, lessons, projects. (includes 6 references)
Subject: Cultural Context>Influence of Culture on Teaching Mathematics>Multicultural Approaches to Teaching,
Cultural Context>Cultural Perspectives on Mathematics

Geographical area: United States of America
Cultural group: African, Peruvian, Quechua (Native American - South America), South African

Khipus, o quipocamayos, una singular herencia huarochirana (Khipus, or quipocamayos, a unique Huarochiri legacy)
by Frank Salomon (1998)
[http://wiscinfo.doit.wisc.edu/chaysimire/titulo2/khipus/khipus.htm]
These webpages, part of the 'Huarochiri: Una cultura peruana en el tiempo' ('Huarochiri: A Peruvian Culture in Time') website, describe how Andean peoples have kept records on knotted cords of cotton or alpaca wool. Called khipus in Quechua, they were used by the Inkas to record censuses, inventories, tribute records, and transactions. They are also referred to as quipocamayos, euipos, or caytus. Most use an Inka system for numerical recording deciphered by Leland Locke in the 1920s. It is a decimal system, although there is no explicit symbol for zero. The site contains numerous photos and diagrams to explain how khipus record information. Other terms: knots, pendant cords, base 10 positional system.
Subject: Mathematical Tools and Devices>Khipu (Quipu),
Numbers and Computation>Number Concepts>Natural Numbers>Number Systems (Natural),
Numbers and Computation>Number Concepts>Rational Numbers>Number Systems (Rational),
Numbers and Computation>Number Concepts>Rational Numbers>Symbols (Rational numbers)

Geographical area: Peru
Cultural group: Inca (Native American - South America), Peruvian, Quechua (Native American - South America)

Khipus, or quipocamayos, a unique Huarochiri legacy
by Frank Salomon (1998)
[http://wiscinfo.doit.wisc.edu/chaysimire/titulo2/khipus/quipus.htm]
These webpages, part of the 'Huarochiri: A Peruvian Culture in Time' website, describe how Andean peoples have kept records on knotted cords of cotton or alpaca wool. Called khipus in Quechua, they were used by the Inkas to record censuses, inventories, tribute records, and transactions. They are also referred to as quipocamayos, equipos, or caytus. Most use an Inka system for numerical recording deciphered by Leland Locke in the 1920s. It is a decimal system, although there is no explicit symbol for zero. The site contains numerous photos and diagrams to explain how khipus record information. Other terms: knots, pendant cords, base 10 positional system.
Subject: Mathematical Tools and Devices>Khipu (Quipu),
Numbers and Computation>Number Concepts>Natural Numbers>Number Systems (Natural),
Numbers and Computation>Number Concepts>Rational Numbers>Number Systems (Rational),
Numbers and Computation>Number Concepts>Rational Numbers>Symbols (Rational numbers)

Geographical area: Peru
Cultural group: Inca (Native American - South America), Peruvian, Quechua (Native American - South America)

 
   
 

 

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