Main Article Content

Abstract

The ineffective use of constructivist learning through mathematical abstraction activities by teachers has led to low mathematics learning results. To promote mathematical abstraction, teaching materials must integrate the visualization of Minangkabau batik motifs. Therefore, this research aimed to describe the characteristics of teaching materials by adopting a 4D developmental model. The data analysis across the development stage included qualitative descriptive analysis for data received from interviews, observations, document reviews, and literature reviews, as well as quantitative descriptive analysis for data obtained from wide validation. The results showed that (1) Minangkabau batik motifs contained the concept of transformation geometry including reflection, rotation, translation, and dilation. (2) The characteristics of teaching materials included (a) having a cover, encouragement sheet, foreword, table of contents, materials, supporting information, exercises, assessments, and bibliography, (b) meeting the appropriateness of graphics, content, and language, (c) displaying the visualization of Minangkabau batik motifs for presentation of material, exploration of the properties of transformation geometry, and finding answers to prompting and practice questions, as well as (d) containing student activities in constructing concepts and making connections between such concepts. In conclusion, this research could help teachers improve students' mathematical abstraction using local cultures and teaching materials.

Keywords

Mathematical Abstraction Minangkabau Batik Motifs Teaching Materials Characteristics

Article Details

How to Cite
Afriyani, D., Ramadhani, L., Yenti, I. N., & Herlina, E. (2024). The Characteristics of Teaching Materials that Promote Mathematical Abstraction through the Visualization of Minangkabau Batik Motifs. Jurnal Pendidikan Matematika, 18(3), 387–408. https://doi.org/10.22342/jpm.v18i3.pp387-408

References

  1. Afriyani, D. (2020). Development of leaflet based on the Bruner theory on the materials of the two-variable linear equation system [in Bahasa]. Matematika dan Pembelajaran, 8 (1), 74-86. https://doi.org/10.33477/mp.v8i1.1303
  2. Andriani, P, Kurniawati, K.R.A & Afriyani, D. (2022). A framework for assessing translation among multiple representations. Jurnal Teori dan Aplikasi Matematika (JTAM), 6(2), 321-330. https://doi.org/10.31764/jtam.v6i2.7193
  3. As’ari, A.R., Kurniati, D., & Subanji. (2019). Teachers’ expectation of students’ thinking processes in written works: A survey of teachers’ readiness in making thinking visible. Journal on Mathematics Education, 10 (3), 409-424. https://doi.org/10.22342/jme.10.3.7978.409-424
  4. Budiman, P. M., Trimurtini, & Purwati, P. D. (2023). Implementing Bruner’s theory for the conceptual understanding of addition and subtraction. International Research-based Education Journal, 5(1), 119-127. http://dx.doi.org/10.17977/um043v5i1p119-127
  5. Daswarman & Sutadji, E. (2022). Minangkabau ethnomathematics in primary school mathematics learning [in Bahasa]. Jurnal Inovasi Pendidikan Dasar, 6 (1), 16-20. https://doi.org/10.36928/jipd.v6i1.862
  6. Dewi, N. P. W. P. & Agustika, G. N. S. (2020). Effectiveness of mathematics learning through PMRI approach to mathematics knowledge competency [in Bahasa]. Jurnal Penelitian dan Pengembangan Pendidikan, 4(2), 204-214. https://doi.org/10.23887/jppp.v4i2.26781
  7. Fitriani, N., Suryadi, D., & Darhim, D. (2018). Analysis of mathematical abstraction on concept of a three-dimensional figure with curved surfaces of junior high school students. Journal of Physics: Conference Series, 1132(2018) 12037. 1-7. https://doi.org/10.1088/1742-6596/1132/1/012037
  8. Fitriza, R., Afriyani, D., Turmudi, & Juandi, D. (2018). The exploration of ethno-mathematics embedded on traditional architecture of Rumah Gadang Minangkabau. 160 (Incomed 2017), 270–276. https://doi.org/10.2991/incomed-17.2018.57
  9. Hanik, U., Efendy, M., Jannah, A. N., & Fatmawati, I. (2024). Ethnomathematics: Exploration of mathematical concepts on the process of Madurese salt production. Jurnal Pendidikan Matematika, 18(1), 59–78. https://doi.org/10.22342/jpm.v18i1.pp59-78
  10. Hutagalung, E.E., Mulyana, E., & Pangaribuan, T.R. (2020). Mathematical abstraction: Students’ concept of triangles. Journal of Physics: Conference Series. 1521 (032106). https://dx.doi.org/10.1088/1742-6596/1521/3/032106
  11. Johar, R, Moulina, A. R, & Away, Y. (2024). Development of e-learning based remedial videos on fraction in middle school. Jurnal Pendidikan Matematika, 18(1), 97-112. https://doi.org/10.22342/jpm.v18i1.pp97-112
  12. Jariyah, A., Putri, R. I. I & Zulkardi. (2024). Development of learning video reflection using Palembang songket context to determine students' mathematical reasoning. Jurnal Pendidikan Matematika, 18(2), 273-294. https://doi.org/10.22342/jpm.v18i2.pp273-294
  13. Jawa Pos. Kemendikbudristek revealed average teacher competency score of 50.64 points [in Bahasa]. Page 1. Access on November 19, 2021 in address https://www.jawapos.com/pendidikan/01355273/kemendikbudristek-ungkap-ratarata-skor-kompetensi-guru-5064-poin
  14. Khasanah, N., Nurkaidah, D. R., & Prihandika, Y. A. (2019). Learners' mathematical abstraction process in view of spatial intelligence [in Bahasa]. Journal of Mathematics and Mathematics Education, 9(2). 77-87. https://dx.doi.org/10.20961/jmme.v9i2.48396
  15. Kusuma, J. K., Rachmad, I., & Hamidah. (2021). Constructivism from philosophy to mathematics learning. International Journal of Economy, Education and Entre preneurship, 1 (2). 58-63 https://doi.org/10.36928/jipd.v6i1.862
  16. Mitchelmore, M. C., & White, P. (2007). Abstraction in mathematics learning. Journal for Research in Mathematics Education, 19(2), 1-9. http://dx.doi.org/10.1007/BF03217452
  17. Mulyani, E. & Natalliasari, I. (2020). Ethnomathematical exploration of Sukapura batik [in Bahasa]. Mosharafa: Jurnal Pendidikan Matematika. 9(1). 131-142. https://doi.org/10.31980/mosharafa.v9i1.598
  18. OECD. (2019). Pisa 2019 Results. PISA, OECD Publishing, Paris
  19. OECD. (2022). Pisa 2022 Results (Volume I) The state of learning and equity in education. PISA. OECD Publishing. Paris.
  20. Pathuddin, H. & Raehana, S. (2019). Ethnomathematics: Traditional Bugis food as a mathematics learning resource [in Bahasa]. MaPan: Jurnal Matematika dan Pembelajaran, 7 (2), 307-327. https://doi.org/10.24252/mapan.2019v7n2a10
  21. Permita, A. I., Nguyen, T., & Prahmana, R. C. I. (2022). Ethnomathematics on the Gringsing batik motifs in Javanese culture. Jurnal of Honai Math, 5 (2), 85-108. https://doi.org/10.30862/jhm.v5i2.265
  22. Piaget J. (1999). The construction of reality in the child. Psychology Press.
  23. Prahmana, R. C. I., & D'Ambrosio, U. (2020). Learning geometry and values from patterns: Ethnomathematics on the batik patterns of Yogyakarta, Indonesia. Journal on Mathematics Education, 11(3), 439-456.
  24. Rahmawati, Y. Z. (2020). Realistic mathematics approach with ethnomathematics of Minangkabau Gadang houses on Pythagorean theorem material [In Bahasa]. Jurnal Azimut, Edisi Khusus SMAR, 3(1), 22-29. https://doi.org/10.31317/jaz.v3iSMAR.636
  25. Rosmiati, R. N., & Ni’mah, K. (2021). Analysis of mathematical abstraction ability in terms of learning style Kolb assisted by Google Slides media. Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah Di Bidang Pendidikan Matematika, 7(1), 26-36. https://doi.org/10.29407/jmen.v7i1.15675
  26. Rytilä, J. (2021). Social constructivism in mathematics? The promise and shortcomings of Julian Cole’s institutional account. Synthese, 2021(199),11517–11540. https://doi.org/10.1007/s11229-021-03300-7
  27. Sa’dijah, C., Afriyani, D., Subanji, S., Muksar, M., & Anwar, L. (2014). Assessing students’ pseudo-mathematical translation using translation-verification model. AIP Conference Proceedings, 2014(1), 1–8. https://doi.org/10.1063/1.5054548
  28. Sampoerno, P. D., & Meiliasari, M. (2019). Analysis of the mathematical learning materials with the characteristics of realistic mathematics education in the design research pre-service teachers’ theses in Indonesia J. Phys.: Conf. Ser. 1402(7), 1-7, https://doi.org/10.1088/1742-6596/1402/7/077105
  29. Salmon, A. K., & Barrera, M.X. (2021). Intentional question to promote thinking and learning. Thinking Skills and Creativity, 40 (100822).1-10, https://doi.org/10.1016/j.tsc.2021.100822
  30. Sarita, R., & Kurniawati. Y. (2020). Development of students’ worksheets (LKPD) for chemistry based on science generic skills [in Bahasa]. Jurnal of The Indonesian Society of integrated Chemistry, 12(1), 31-39, https://doi.org/10.22437/jisic.v12i1.7846
  31. Skemp, R. R. (2012). The psychology of learning mathematics: Expanded American edition. Lawrence Erlbaum Associates, Inc: New York. https://doi.org/10.4324/9780203396391
  32. Syahriannur. (2019). Exploration of ethnomathematics of Minangkabau songket fabric to reveal the philosophical value of mathematical concepts [in Bahasa]. Jurnal Math Education Nusantara, 2 (1), 58-63. https://doi.org/10.54314/jmn.v2i1.69
  33. Thiagarajan, S., Semmel, D. S., & Semmel, M. I. (1974). Instructional Development for Training Teachers of Exceptional Children. Minneapolis, MN: Leadership Training Institute/Special Education, University of Minnesota.
  34. Tim Oates-Assessment Research & Development. 2015. Textbooks–What are the features of a good textbook. Cambridge: University of Cambridge.
  35. Ulumudin, I., Mardiansyah, & Joko, B.S. 2017. Textbooks and enrichment: Completeness and appropriateness of 2013 curriculum textbooks and policies for cultivating student reading interest [in Bahasa]. Jakarta: Pusat Penelitian Kebijakan Pendidikan dan Kebudayaan, Balitbang, Kemendikbud.
  36. UNESCO. (2015). Textbooks and other education materials: what key messages do we want to convey and how?. France: UNESCO.
  37. Van Oers, B., & Poland, M. (2007). Schematizing activities as a means for encouraging young children to think abstractly. Mathematics Education Research Journal, 19(2), 10-22. https://doi.org/10.54314/jmn.v2i1.69
  38. Liang, Y., & Cobern, W. W. (2013). Analysis of a typical Chinese high school biology textbook using the AAAS textbook standards. EURASIA Journal of Mathematics, Science and Technology Education, 9(4), 329-336.