Ethnomathematical study on folk dances: focusing on the choreography
Abstract
The investigation in ethnomathematics we are developing aims to analyse the mathematical structure inherent in various elements that constitute folk dances of Northern Portugal and Galicia, which is an autonomous community of Spain, specifically choreography, music and accessories. Focusing on choreography, we intend to represent and describe the movements that dancers perform during dances. Different types of choreography were identified in folk dances based on dispositions that although dancers may not remain fixed through the dance, are those to which they end up returning. In addition, diagrams and numerical schemes were elaborated to represent the successive positions occupied by dancers or pairs through the folk dances. The mathematical ideas and procedures resulting from this ethnomathematical research will then be used for school practice, through the construction of tasks to be applied in the classroom.
Downloads
References
BARTON, Bill. Prefácio. In: PALHARES, Pedro. (Coord.). Etnomatemática: um olhar sobre a diversidade cultural e a aprendizagem matemática. Vila Nova de Famalicão: Edições Húmus, 2009, p. 7-10.
BARTON, Bill. The Language of Mathematics: telling mathematical tales. New York: Springer, 2008.
BAZTÁN, Ángel Aguirre. Etnografía. In: BAZTÁN, Ángel Aguirre. (Ed.). Etnografía: metodología cualitativa en la investigación sociocultural. Barcelona: Marcombo, 1995, p. 3-20.
BISHOP, Alan John. Mathematics education as cultural induction. Nieuwe Wiskrant, v. 6, n. 1, p. 27-32, oct. 1986.
BISHOP, Alan John. Mathematics Education in its cultural context. Educational Studies in Mathematics, v. 19, n. 2, p. 179-191, may. 1988.
BOGDAN, Robert C.; BIKLEN, Sari Knopp. Investigação qualitativa em Educação: uma introdução à teoria e aos métodos. Tradução de Maria João Alvarez, Sara Bahia dos Santos e Telmo Mourinho Baptista. Porto: Porto Editora, 1994.
CROWE, Donald W. Introduction to the Plane Symmetries. In: WASHBURN, Dorothy K.; CROWE, Donald W. (Ed.). Symmetry comes of age: the role of pattern in culture. Seattle: University of Washington Press, 2004, p. 3-18.
D’AMBRÓSIO, Ubiratan. Etnomatemática: elo entre as tradições e a modernidade. Belo Horizonte: Autêntica, 2002.
D’AMBRÓSIO, Ubiratan. General remarks on Ethnomathematics. ZDM, v. 33, n. 3, p. 67-69, jun. 2001.
D’AMBRÓSIO, Ubiratan. Globalização, educação multicultural e o programa etnomatemática. In: PALHARES, Pedro. (Coord.). Etnomatemática: um olhar sobre a diversidade cultural e a aprendizagem matemática. Vila Nova de Famalicão: Edições Húmus, 2009, p. 23-46.
DESIGN-BASED RESEARCH COLLECTIVE. Design-based research: an emerging paradigm for educational inquiry. Educational Researcher, v. 32, n. 1, p. 5-8, jan./feb. 2003.
FEUILLET, Raoul-Auger. Orchesography. Or, the Art of Dancing, by Characters and Demonstrative Figures. Wherein the Whole Art Is Explain'd; ... An Exact and Just Translation from the French of Monsieur Feuillet. by John Weaver, ... Translation of John Weaver. Gale ECCO Print Editions, 2010.
GARLAND, Trudi Hammel; KAHN, Charity Vaughan. Math and Music: harmonious connections. Palo Alto: Dale Seymour Publications, 1995.
GERDES, Paulus. Etnomatemática: reflexões sobre Matemática e diversidade cultural. Vila Nova de Famalicão: Edições Húmus, 2007.
GERDES, Paulus. On culture, geometrical thinking and mathematics education. Educational Studies in Mathematics, v. 19, n. 2, p. 137-162, 1988.
GRUPO FOLCLÓRICO DE VILA VERDE (GFVV). Grupo Folclórico de Vila Verde – mensageiro da sua terra ontem, hoje e sempre. Vila Verde: ATAHCA, 2008.
JOHNSON, R. Burke; CHRISTENSEN, Larry. Educational research: quantitative and qualitative approaches. Boston: Allyn & Bacon, 2000.
MASON, John H. Mathematics Teaching Practice: a guide for university and college lectures. Chichester: Horwood Publishing, 2002.
MOREIRA, Darlinda. Educação Matemática para a sociedade multicultural. In: PALHARES, Pedro. (Coord.). Etnomatemática: um olhar sobre a diversidade cultural e a aprendizagem matemática. Vila Nova de Famalicão: Edições Húmus, 2009, p. 47-65.
RIBAS, Tomaz. Danças populares portuguesas. Lisboa: Instituto de Cultura e Língua Portuguesa, 1983.
ROSA, Milton; GAVARRETE, Maria Elena. Polysemic Interactions between Ethnomathematics and Culturally Relevant Pedagogy. In: ROSA, Milton; SHIRLEY, Lawrence; GAVARRETE, Maria Elena; ALANGUI, Wilfredo V. (Ed.), Ethnomathematics and its diverse approaches for Mathematics Education. Cham, Switzerland: Springer, 2017, p. 23-30.
ROSA, Milton; OREY, Daniel Clark. Abordagens atuais do Programa Etnomatemática: delineando um caminho para a ação pedagógica. Boletim, Rio Claro, v. 19, n. 26, p. 19-48, jul./dez. 2006.
ROSA, Milton; SHIRLEY, Lawrence. In Guise of Conclusion. In: ROSA, Milton; SHIRLEY, Lawrence; GAVARRETE, Maria Elena; ALANGUI, Wilfredo V. (Ed.), Ethnomathematics and its diverse approaches for Mathematics Education. Cham, Switzerland: Springer, 2017b, p. 39-40.
ROSA, Milton; SHIRLEY, Lawrence. Introduction. In: ROSA, Milton; SHIRLEY, Lawrence; GAVARRETE, Maria Elena; ALANGUI, Wilfredo V. (Ed.), Ethnomathematics and its diverse approaches for Mathematics Education. Cham, Switzerland: Springer, 2017a, p. 1-3.
SHIRLEY, Lawrence; PALHARES, Pedro. Ethnomathematics and its Diverse Pedagogical Approaches. In: ROSA, Milton; SHIRLEY, Lawrence; GAVARRETE, Maria Elena; ALANGUI, Wilfredo V. (Ed.), Ethnomathematics and its diverse approaches for Mathematics Education. Cham, Switzerland: Springer, 2017, p. 13-17.
TAPP, Kristopher. Simmetry: a mathematical exploration. New York: Springer, 2012.
THIE, Joseph A. Dance Mathematics: rhythms & dances; analysis & synthesis. Createspace Independent Publishing Platform, 2018.
WASHBURN, Dorothy K.; CROWE, Donald W. Symmetries of culture: theory and practice of plane pattern analysis. Seattle: University of Washington Press, 1988.
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
