Ethnomathematics and creativity study in the construction of batik based on fractal geometry aided by GeoGebra

Artigo2022

Eka Sulistyawati; Imam Rofiki ORCID

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Resumo

This study aims to describe geometric objects that used by students on constructing fractal batik using Geogebra, procedure that used to construct fractal batik design, and students creativity on the process of constructing fractal batik. The qualitative descriptive research was applies including data collection, data separation, data analysis and conclusions. The research data were obtained from 97 students of tadris mathematics IAIN Kediri. The research results showed that fractal batik was constructed from a single geometric shape and combination of 2, 3, and 4 single geometric shapes through steps (a) made basic patterns using geometric shapes in Geogebra, (b) Made New Tools to perform repetitions (iteration), (c) Determined the type of transformation that used to repeat the basic patterns, and (d) Constructed geometric fractal batik. Based on the creativity indicators fluency, 3 types of geometric fractals can be obtained, namely (a) Fractals with Repetition and Enlargement (FPB), (b) Fractals with Repetition and Change Position (FPS), and (c) Fractals with Mix Repetition (FPC). Based on the flexibility indicator, there are 32 basic geometric shapes that develop basic patterns by applying 15 types of transformation consist of Single Transformation, Double Transformation, Triple Transformation and Quadruple Transformation. Meanwhile, on the originality indicator, P3 is the basic shape that has been mostly developed into geometric fractal batik which is a combination of equilateral triangles and squares.

Dados da obra

Tipo
Artigo
Periódico
International Journal on Teaching and Learning Mathematics, v. 4, n. 1, p. 15-28
Editora
Maulana Malik Ibrahim State Islamic University
Ano
2022 (2022-06-27)
Temas
Etnomatemática, Geometria, Tecnologias Digitais
DOI
10.18860/ijtlm.v5i1.10883
ISSN
2621-2196, 2621-2188
Licença
http://creativecommons.org/licenses/by-nc-sa/4.0
Acesso
Metadados apenas
Fontes
Crossref
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
SULISTYAWATI, Eka; ROFIKI, Imam. Ethnomathematics and creativity study in the construction of batik based on fractal geometry aided by GeoGebra. International Journal on Teaching and Learning Mathematics, v. 4, n. 1, p. 15-28, 2022. DOI: https://doi.org/10.18860/ijtlm.v5i1.10883.

APA

Sulistyawati, E., & Rofiki, I. (2022). Ethnomathematics and creativity study in the construction of batik based on fractal geometry aided by GeoGebra. International Journal on Teaching and Learning Mathematics, 4(1), 15-28. https://doi.org/10.18860/ijtlm.v5i1.10883

BibTeX
@article{sulistyawati2022,
  author = {Sulistyawati, Eka and Rofiki, Imam},
  title = {Ethnomathematics and creativity study in the construction of batik based on fractal geometry aided by GeoGebra},
  year = {2022},
  journal = {International Journal on Teaching and Learning Mathematics},
  volume = {4},
  number = {1},
  pages = {15-28},
  publisher = {Maulana Malik Ibrahim State Islamic University},
  doi = {10.18860/ijtlm.v5i1.10883}
}
RIS
TY  - JOUR
AU  - Sulistyawati, Eka
AU  - Rofiki, Imam
TI  - Ethnomathematics and creativity study in the construction of batik based on fractal geometry aided by GeoGebra
PY  - 2022
JO  - International Journal on Teaching and Learning Mathematics
VL  - 4
IS  - 1
SP  - 15
EP  - 28
DO  - 10.18860/ijtlm.v5i1.10883
ER  - 

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

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