Ethnomathematics in the Tumbu Tanah dance: Geometric, rhythmic, and symbolic patterning among the Arfak People of West Papua, Indonesia

Artigo2026

Guntur Sada; Jeinne Mumu; Andi Fajeriani Wyrasti; Benidiktus Tanujaya; Falenthino Sampouw; Maryo Sopater Istia

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Resumo

Traditional cultural performances often incorporate sophisticated mathematical concepts through spatial organisation, rhythmic coordination and symbolic systems. However, indigenous performance traditions from eastern Indonesia, particularly West Papua, are underrepresented in the international ethnomathematics literature. This study examines the ethnomathematical structures embedded in the Tumbu Tanah dance of the Arfak people, investigating how mathematical reasoning is enacted through embodied cultural practice. Based on D’Ambrosio’s ethnomathematics framework and Indigenous epistemologies, this qualitative ethnographic study employed participant observation and semi-structured interviews with twelve cultural elders and master performers, alongside systematic visual-kinematic documentation. The data were analysed using a triangulated thematic, geometric and movement analysis approach to identify the mathematical concepts manifested in the dance's choreography, rhythm and social organisation. The findings reveal the Tumbu Tanah dance to be a complex, embodied mathematical system. Three core formations — jey/srem (linear), ikrop (semi-circular) and nimot (circular) — encode geometric principles, including symmetry, rotational transformation, curvature and proportional spatial organisation. Rhythmic foot-stamping patterns exhibit periodicity, recursive sequencing, and collective temporal synchronisation, while the arrangement of dancers by kinship and ceremonial roles reflects indigenous practices of set partitioning, grouping, and numerical distribution. Rather than being transmitted through formal notation, these mathematical ideas are passed on through embodied movement, communal participation, and intergenerational knowledge transfer. By positioning Indigenous dance as a dynamic repository of mathematical knowledge, this study advances the scholarship of ethnomathematics, validates embodied and decolonial epistemologies, and offers actionable pathways for culturally responsive pedagogy, curriculum design and digital heritage preservation.

Dados da obra

Tipo
Artigo
Periódico
Journal of Honai Math, v. 9, n. 2, p. 303-334
Editora
Universitas Papua
Ano
2026 (2026-08)
Idioma
en
Palavras-chave
ethnomathematics; culturally responsive mathematics education; tumbu tanah dance; embodied mathematics; indigenous knowledge
Temas
Currículo, Etnomatemática, Geometria
DOI
10.30862/jhm.v9i2.1307
ISSN
2615-2185, 2615-2193
Acesso
Acesso aberto
Fontes
DOAJ — Directory of Open Access Journals
Na Biblioteca desde
01/11/2026 · verificada em 01/11/2026

Como citar

ABNT
SADA, Guntur et al.. Ethnomathematics in the Tumbu Tanah dance: Geometric, rhythmic, and symbolic patterning among the Arfak People of West Papua, Indonesia. Journal of Honai Math, v. 9, n. 2, p. 303-334, 2026. DOI: https://doi.org/10.30862/jhm.v9i2.1307.

APA

Sada, G., Mumu, J., Wyrasti, A. F., Tanujaya, B., Sampouw, F., & Istia, M. S. (2026). Ethnomathematics in the Tumbu Tanah dance: Geometric, rhythmic, and symbolic patterning among the Arfak People of West Papua, Indonesia. Journal of Honai Math, 9(2), 303-334. https://doi.org/10.30862/jhm.v9i2.1307

BibTeX
@article{sada2026,
  author = {Sada, Guntur and Mumu, Jeinne and Wyrasti, Andi Fajeriani and Tanujaya, Benidiktus and Sampouw, Falenthino and Istia, Maryo Sopater},
  title = {Ethnomathematics in the Tumbu Tanah dance: Geometric, rhythmic, and symbolic patterning among the Arfak People of West Papua, Indonesia},
  year = {2026},
  journal = {Journal of Honai Math},
  volume = {9},
  number = {2},
  pages = {303-334},
  publisher = {Universitas Papua},
  doi = {10.30862/jhm.v9i2.1307},
  language = {en}
}
RIS
TY  - JOUR
AU  - Sada, Guntur
AU  - Mumu, Jeinne
AU  - Wyrasti, Andi Fajeriani
AU  - Tanujaya, Benidiktus
AU  - Sampouw, Falenthino
AU  - Istia, Maryo Sopater
TI  - Ethnomathematics in the Tumbu Tanah dance: Geometric, rhythmic, and symbolic patterning among the Arfak People of West Papua, Indonesia
PY  - 2026
JO  - Journal of Honai Math
VL  - 9
IS  - 2
SP  - 303
EP  - 334
DO  - 10.30862/jhm.v9i2.1307
LA  - en
ER  - 

Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS

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