Creative Thinking Process in Solving Mathematical Problems Geometry Topics In Terms of Students' Spatial Abilities

Rizki Dwi Siswanto, Dadan Dasari, Agus Hendriyanto

Abstract


Spatial abilities and creative thinking skills are interrelated. Therefore qualitative research with transcendental phenomenology design tries to analyze students' creative thinking processes in terms of their level of spatial ability. A total of 30 participants from a public junior high school in Jakarta were involved in this study, and from selected 11 subjects representing high, medium, and low levels of spatial ability. The data obtained are processed in a way that refers to the Miles & Huberman stage with triangulation techniques to achieve saturated data. It is concluded that only students with high levels of spatial ability have creative thinking skills. The entire creative thinking process carried out can be described well in this study. The thought processes are the introduction, incubation, illumination, and verification stages.

Keywords


creative thinking process; geometry; mathematical problems; spatial abilities

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References


E. Ersoy and N. Başer, “The Effects of Problem-based Learning Method in Higher Education on Creative Thinking,” Procedia - Soc. Behav. Sci., vol. 116, pp. 3494–3498, 2014, doi: 10.1016/j.sbspro.2014.01.790.

S. Krulik, J. A. Rudnick, and E. Milou, Teaching Mathematics in Middle School: A Practical Guide. Allyn and Bacon, 2003.

S. M. Ritter and N. Mostert, “Enhancement of Creative Thinking Skills Using a Cognitive-Based Creativity Training,” J. Cogn. Enhanc., vol. 1, no. 3, pp. 243–253, 2017, doi: 10.1007/s41465-016-0002-3.

M. N. Anwar and M. Aness, “An Examination of The Relationship Between Creative Thinking and Academic Achievements of Secondary School Students,” Int. Interdiscip. J. Educ., vol. 1, no. 219, pp. 1–4, 2012.

E. Aizikovitsh-Udi and M. Amit, “Developing the Skills of Critical and Creative Thinking by Probability Teaching,” Procedia - Soc. Behav. Sci., vol. 15, pp. 1087–1091, 2011, doi: 10.1016/j.sbspro.2011.03.243.

T. Dreyfus and T. Eisenberg, “On Different Facets of Mathematical Thinking,” in The nature of mathematical thinking, Routledge, 2012, pp. 269–300.

G. Wallas, The Art of Thought, vol. 10. Harcourt, Brace, 1926.

E. A. Silver, “Fostering Creativity Through Instruction Rich in Mathematical Problem Solving and Problem Posing,” ZDM, vol. 29, no. 3, pp. 75–80, 1997, doi: 10.1007/s11858-997-0003-x.

D. S. Balka, “Using Research in Teaching: Creative Ability in Mathematics,” Arith. Teach., vol. 21, no. 7, pp. 633–636, 1974.

R. Y. Agustini, D. Suryadi, and A. Jupri, “Construction of Open-Ended Problems for Assessing Elementary Student Mathematical Connection Ability on Plane Geometry,” J. Phys. Conf. Ser., vol. 895, no. 1, 2017, doi: 10.1088/1742-6596/895/1/012148.

S. Jelatu, Sariyasa, and I. Made Ardana, “Effect of GeoGebra-aided REACT Strategy on Understanding of Geometry Concepts,” Int. J. Instr., vol. 11, no. 4, pp. 325–336, 2018, doi: 10.12973/iji.2018.11421a.

H. L. Ma, D. C. Lee, S. H. Lin, and D. B. Wu, “A Study of Van Hiele of Geometric Thinking among 1st through 6th Graders,” Eurasia J. Math. Sci. Technol. Educ., vol. 11, no. 5, pp. 1181–1196, 2015, doi: 10.12973/eurasia.2015.1412a.

N. Fajriah, “Kriteria Berpikir Geometris Siswa SMP dalam Menyelesaikan Masalah Geometri,” Math Didact. J. Pendidik. Mat., vol. 1, no. 2, pp. 110–115, 2015, doi: 10.33654/math.v1i2.11.

R. D. Siswanto, “Asosiasi Antara Kemampuan Geometri Spasial Dengan Kemampuan Berpikir Kreatif Matematis Siswa,” Kalamatika J. Pendidik. Mat., vol. 1, no. 2, pp. 141–146, 2016.

R. D. Siswanto and Y. S. Kusumah, “Peningkatan Kemampuan Geometri Spasial Siswa SMP Melalui Pembelajaran Inkuiri Terbimbing Berbantuan GeoGebra,” Jppm, vol. Vol.10, No, no. 1, p. hlm. 42-51, 2017.

D. Suryadi, Landasan filosofis penelitian desain didaktis (DDR). Bandung: Pusat Pengembangan DDR Indonesia, 2019.

M. Huberman and M. B. Miles, The Qualitative Researcher’s Companion. SAGE, 2002.

K. Cotton, Teaching Thinking Skills. Northwest Regional Educational Laboratory, School Improvement Program, 1991.

U. Munandar, Pengembangan Kreativitas Anak Berbakat. Jakarta: Rineka Cipta, 2009.

A. Ardian and S. Munadi, “Pengaruh Strategi Pembelajaran Student-Centered Learning dan Kemampuan Spasial terhadap Kreativitas Mahasiswa,” J. Pendidik. Teknol. dan Kejuru., vol. 22, no. 4, p. 454, 2016, doi: 10.21831/jptk.v22i4.7843.

A. Wahyuni and D. W. Hidayati, “Pengaruh Kemampuan Berfikir Kreatif Berbasis ICT Terhadap Kemampuan Spasial Mahasiswa,” J. Inf. J. Penelit. dan Pengabdi. Masy., vol. 6, no. 1, pp. 6–9, 2020, doi: 10.46808/informa.v6i1.165.




DOI: http://dx.doi.org/10.52155/ijpsat.v36.2.5004

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