COLLABORATIVE PROBLEM POSING USING GEOGEBRA: A STUDY ON HIGH MATH ABILITY JUNIOR HIGH SCHOOL STUDENTS

Authors

  • Nurul Fadilah Universitas Negeri Surabaya
  • Abdul Haris Rosyidi Universitas Negeri Surabaya
  • Yurizka Melia Sari Universitas Negeri Surabaya

DOI:

https://doi.org/10.51878/science.v6i1.8928

Keywords:

Kolaboratif, GeoGebra, Pengajuan Masalah

Abstract

Problem posing is important in learning mathematics because it improves reasoning, critical thinking, and creative thinking skills. However, many students still find it difficult to pose problems. Through collaborative problem posing, students can exchange their understanding. The use of GeoGebra in problem posing can help students play an active role in generating ideas to construct new problems through its features. This research is a qualitative research that aims to describe the collaborative semi-structured problem posing of junior high school students assisted by GeoGebra in high groups. This research was conducted in one of the junior high schools in Surabaya class IX odd semester of the 2024/2025 school year in the age range of 14-15 years. The research data were collected through Problem Posing Test and Focus Group Discussion. The research subjects were a group with high mathematical ability consisting of two students. The results showed both members in the group contributed to each other for the new problem created. On knowledge base, they identified mathematical facts, concepts, and procedures. On heuristics and schema, they explored GeoGebra to come up with ideas. On group dynamics and interactions, they performed processes of normality, conformity, and innovation. In individual consideration of aptness, both members argued that each individual was skilled in proposing problems and the problems they created were acceptable to group members. Student had no problems during discussion and expressing their opinions due to their equal mathematical ability. Therefore, further research is needed on whether collaborative problem posing using GeoGebra heterogeneous groups also works.

ABSTRAK

Pengajuan masalah merupakan hal penting dalam belajar matematika karena meningkatkan kemampuan penalaran, berpikir kritis, dan berpikir kreatif. Namun, masih banyak siswa merasa kesulitan dalam pengajuan masalah. Melalui pengajuan masalah kolaboratif siswa dapat saling bertukar pemahaman. Penggunaan GeoGebra dalam pengajuan masalah dapat membantu siswa berperan aktif memunculkan ide-ide untuk mengkonstruksi masalah baru melalui fitur-fiturnya. Penelitian ini merupakan penelitian kualitatif yang bertujuan untuk mendeskripsikan pengajuan masalah semi terstruktur kolaboratif siswa SMP berbantuan GeoGebra pada kelompok tinggi. Penelitian ini dilakukan di salah satu SMP di Surabaya kelas IX semester ganjil tahun ajaran 2024/2025 pada rentang usia 14-15 tahun. Data penelitian dikumpulkan melalui Tes Pengajuan Masalah dan Focus Group Discussion. Subjek penelitian merupakan kelompok dengan kemampuan matematika tinggi yang terdiri atas dua siswa. Hasil penelitian menunjukkan kedua anggota dalam kelompok saling berkontribusi untuk masalah baru yang dibuat. Pada basis pengetahuan, mereka mengidentifikasi fakta, konsep, dan prosedur matematika. Pada heuristik dan skema, mereka mengeksplorasi GeoGebra untuk memunculkan ide-ide. Pada dinamika dan interaksi kelompok, mereka melakukan proses normalitas, konformitas, dan inovasi. Pada pertimbangan individu atas kesesuaian, kedua anggota saling berpendapat bahwa tiap individu terampil dalam mengajukan masalah dan masalah yang mereka buat dapat diterima anggota kelompok. Siswa tidak memiliki masalah selama berdiskusi dan mengungkapkan pendapat dikarenakan kesetaraan kemampuan matematika. Oleh karena itu, perlu penelitian lebih lanjut terkait apakah pengajuan masalah kolaboratif pada kelompok heterogen berbantuan GeoGebra juga berjalan demikian.

References

Baumanns, L., & Rott, B. (2021). The process of problem posing: Development of a descriptive phase model of problem posing. Educational Studies in Mathematics, 110(2), 251. https://doi.org/10.1007/s10649-021-10136-y

Bobrowicz, K., & Thibaut, J. (2023). The development of flexible problem solving: An integrative approach. Journal of Intelligence, 11(6), 119. https://doi.org/10.3390/jintelligence11060119

Burgos, M., Tizón-Escamilla, N., & Chaverri, J. (2024). A model for problem creation: Implications for teacher training. Mathematics Education Research Journal, 37(1), 55. https://doi.org/10.1007/s13394-023-00482-w

Cai, J., & Rott, B. (2023). On understanding mathematical problem-posing processes. ZDM, 56(1), 61. https://doi.org/10.1007/s11858-023-01536-w

Ceballos, H., Bogaart, T. van den, Ginkel, S. van, Spandaw, J., & Drijvers, P. (2025). How collaborative problem solving promotes higher-order thinking skills: A systematic review of design features and processes. Thinking Skills and Creativity, 59, 102001. https://doi.org/10.1016/j.tsc.2025.102001

Fairhurst, N., Koul, R., & Sheffield, R. (2023). Students’ perceptions of their STEM learning environment. Learning Environments Research, 26(3), 977. https://doi.org/10.1007/s10984-023-09463-z

Halttunen, T., Dragin?Jensen, C., Kylänpää, C., & Karkov, A. (2023). Collaborative problem solving: A pedagogy for workplace relevance. Nordic Journal of Vocational Education and Training, 13(2). https://doi.org/10.3384/njvet.2242-458x.2313245

Hansen, E. K. S. (2021). Students’ agency, creative reasoning, and collaboration in mathematical problem solving. Mathematics Education Research Journal, 34(4), 813. https://doi.org/10.1007/s13394-021-00365-y

Johnson, H. L., McClintock, E., & Gardner, A. (2020). Opportunities for reasoning: Digital task design to promote students’ conceptions of graphs as representing relationships between quantities. Digital Experiences in Mathematics Education, 6(3), 340. https://doi.org/10.1007/s40751-020-00061-9

Kwon, H., & Capraro, M. M. (2021). Nurturing problem posing in young children: Using multiple representation within students’ real-world interest. International Electronic Journal of Mathematics Education, 16(3). https://doi.org/10.29333/iejme/11066

Lehmann, T. (2022). Learning to measure the area of composite shapes. Educational Studies in Mathematics, 112(3), 531. https://doi.org/10.1007/s10649-022-10191-z

Li, Y., Lu, S., Xu, W., & Gao, Y. (2025). Logic-driven and technology-supported creativity development model in open-ended design tasks. Buildings, 15(6), 871. https://doi.org/10.3390/buildings15060871

Moore?Russo, D., Simmons, A., & Tulino, M. (2020). A study of problem posing as a means to help mathematics teachers foster creativity. Journal of Humanistic Mathematics, 10(2), 129. https://doi.org/10.5642/jhummath.202002.08

Nicholas, C., & Oak, A. (2020). Make and break details: The architecture of design-build education. Design Studies, 66, 35. https://doi.org/10.1016/j.destud.2019.12.003

Papadopoulos, I., Patsiala, N., Baumanns, L., & Rott, B. (2021). Multiple approaches to problem posing: Theoretical considerations regarding its definition, conceptualisation, and implementation. Center for Educational Policy Studies Journal. https://doi.org/10.26529/cepsj.878

Rabi, F., Feng-qi, M., Aziz, M. N. A., Ullah, M. I., & Abduraxmanovna, N. H. (2021). The impact of the use of GeoGebra on student’s mathematical representation skills and attitude. European Journal of Education Studies, 8(12). https://doi.org/10.46827/ejes.v8i12.4007

Saroyan, A. (2022). Fostering creativity and critical thinking in university teaching and learning. OECD Education Working Papers. https://doi.org/10.1787/09b1cb3b-en

Savi?, M., Gunter, D., Curtis, E., & Pirela, A. P. (2021). Productive failures: From class requirement to fostering a support group. International Journal of Educational Psychology, 10(3), 271. https://doi.org/10.17583/ijep.5994

Scheibling?Sève, C., Gvozdic, K., Pasquinelli, E., & Sander, E. (2022). Enhancing cognitive flexibility through a training based on multiple categorization: Developing proportional reasoning in primary school. Journal of Numerical Cognition, 8(3), 443. https://doi.org/10.5964/jnc.7661

Singleton, B. K., & Ellis, A. B. (2020). Why multiply? Area measurement and multiplicative reasoning. Mathematics Teacher Learning and Teaching PK-12, 113(10). https://doi.org/10.5951/mtlt.2019.0063

Supandi, S., Suyitno, H., Sukestiyarno, Y., & Dwijanto, D. (2021). Self-efficacy and the ability to think creatively by prospective mathematics teachers based on learning barriers. Journal of Educational and Social Research, 11(2), 94. https://doi.org/10.36941/jesr-2021-0033

Tiwari, S. K., Obradovi?, D., Rathour, L., Mishra, L. N., & Mishra, V. N. (2021). Visualization in mathematics teaching. Journal of Advances in Mathematics, 20, 431. https://doi.org/10.24297/jam.v20i.9136

Toifur, I., Sugiman, S., & Santoso, A. (2025). The effectiveness of problem based learning model and learning style on mathematical creative thinking ability of students of SMA Negeri 1 Salaman Magelang. Science: Jurnal Inovasi Pendidikan Matematika dan IPA, 5(3), 1137. https://doi.org/10.51878/science.v5i3.5673

Viola, G., & Gambini, A. (2022). Cooperative learning in game theory activities. HAL. https://hal.science/hal-03745911

Xu, E., Wang, W., & Wang, Q. (2023). The effectiveness of collaborative problem solving in promoting students’ critical thinking: A meta-analysis based on empirical literature. Humanities and Social Sciences Communications, 10(1). https://doi.org/10.1057/s41599-023-01508-1

Yerizon, Y., Fatimah, S., & Tasman, F. (2021). Development of a GeoGebra-assisted calculus worksheet to enhance students’ understanding. International Journal of Information and Education Technology, 11(10), 456. https://doi.org/10.18178/ijiet.2021.11.10.1550

Yerushalmy, M., Olsher, S., Harel, R., & Chazan, D. (2022). Supporting inquiry learning: An intellectual mirror that describes what it “sees.” Digital Experiences in Mathematics Education, 9(2), 315. https://doi.org/10.1007/s40751-022-00120-3

Yunianto, W., Prahmana, R. C. I., Putri, R. I. I., Wijers, M., Darmawijoyo, D., & Eerde, D. van. (2024). Learning trajectories for the learning area of triangles and quadrilaterals. Curriculum and Teaching, 39(1), 79. https://doi.org/10.7459/ct/390106

Yurniwati, Y., & Soleh, D. A. (2020). The effectiveness of computer-based problem solving to improve higher order thinking skills on prospective teachers. International Journal of Instruction, 13(2), 393. https://doi.org/10.29333/iji.2020.13227a

Zhang, L., Stylianides, A. J., & Stylianides, G. J. (2023). Identifying competent problem posers and exploring their characteristics. The Journal of Mathematical Behavior, 72, 101086. https://doi.org/10.1016/j.jmathb.2023.101086

Zhao, Y., & Huang, L. (2025). Promoting teaching innovation among university teachers through AI literacy from the perspective of planned behavior: The moderating effects of three perceived supports. Frontiers in Psychology, 1699174. https://doi.org/10.3389/fpsyg.2025.1699174

Downloads

Published

2026-01-16

How to Cite

Fadilah, N., Rosyidi, A. H. ., & Sari, Y. M. . (2026). COLLABORATIVE PROBLEM POSING USING GEOGEBRA: A STUDY ON HIGH MATH ABILITY JUNIOR HIGH SCHOOL STUDENTS. SCIENCE : Jurnal Inovasi Pendidikan Matematika Dan IPA, 6(1), 20-33. https://doi.org/10.51878/science.v6i1.8928

Issue

Section

Articles

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.