Development of the IDCIR Mathematics Learning Model to Improve Junior High School Students' Problem-Solving and Creative Thinking Skills
DOI:
https://doi.org/10.38114/riemann.v7i3.117Keywords:
IDCIR Model, Creative Thinking, Problem Solving, R&D, Mathematics LearningAbstract
This study aims to develop and validate the IDCIR (Incubation, Divergence, Convergence, Innovation, Reflection) mathematics learning model as an effort to improve problem-solving skills and creative thinking abilities of junior high school students. The background of this research is grounded in the low levels of numeracy and mathematical reasoning abilities among Indonesian students, as reflected in the results of PISA 2022 and AKM 2024. To address these issues, this study employs a Research and Development (R&D) approach by adapting the Plomp model, which includes the stages of preliminary investigation, design and development, as well as implementation and assessment. The resulting product consists of a learning model along with supporting materials such as lesson plans, teacher's guidebooks, student textbooks, student worksheets, and assessment instruments. Validation was conducted by experts in subject matter, pedagogy, and evaluation, showing that the IDCIR model meets the validity criteria in terms of content, construct, language, and visual design of the learning materials. Practicality testing in three schools indicated that the model can be implemented effectively, its syntax is easy for teachers to follow, and students responded positively to the learning activities. Furthermore, effectiveness testing using a pretest–posttest control group design revealed that students who learned through the IDCIR model experienced significant improvements in problem-solving skills, creativity indicators (fluency, flexibility, originality), and learning engagement compared to students in the control group. Thus, the IDCIR model is declared valid, practical, and effective, and can be recommended as an innovative alternative in mathematics instruction to support the achievement of 21st-century competencies.
Downloads
References
Adawiyah, Y. N., Zakiah, N. E., & Zamnah, L. N. (2023). Kemampuan literasi matematis siswa dalam menyelesaikan soal PISA. J-KIP: Jurnal Keguruan dan Ilmu Pendidikan, 4(1), 198. https://doi.org/10.25157/j-kip.v4i1.8898 DOI: https://doi.org/10.25157/j-kip.v4i1.8898
Apriyani, F., & Imami, A. I. (2022). Kemampuan pemecahan masalah matematis pada siswa SMK ditinjau dari kecemasan matematika. Jurnal Educatio FKIP UNMA, 8(1), 236–246. https://doi.org/10.31949/educatio.v8i1.1973 DOI: https://doi.org/10.31949/educatio.v8i1.1973
Borko, H., & Potari, D. (2024). Teachers’ learning, instructional practice, and mathematics teaching improvement: A global perspective. Journal of Mathematics Teacher Education, 27(1), 1–18. https://doi.org/10.1007/s10857-023-09598-1
Erviana, E., Ningsih, Y. L., & Fitriasari, P. (2020). Analysis of mathematical problem solving ability of junior high school students on relation & function material with Polya's strategy. Daya Matematis: Jurnal Inovasi Pendidikan Matematika, 8(3). https://doi.org/10.26858/jdm.v8i3.15233 DOI: https://doi.org/10.26858/jdm.v8i3.15233
Fatmawati, A., Pasani, C. F., & Hidayanto, T. (2022). Pengembangan soal matematika model PISA level 5 menggunakan konteks lahan basah. Jurmadikta, 2(2), 73–81. https://doi.org/10.20527/jurmadikta.v2i2.1242 DOI: https://doi.org/10.20527/jurmadikta.v2i2.1242
Febriani, S., & Ratu, N. (2018). Profil proses berpikir kreatif matematis siswa dalam pemecahan masalah open-ended berdasarkan teori Wallas. Mosharafa: Jurnal Pendidikan Matematika, 7(1), 39–50. https://doi.org/10.31980/mosharafa.v7i1.473 DOI: https://doi.org/10.31980/mosharafa.v7i1.340
Fitriati, F., Novita, R., & Johar, R. (2020). Exploring the usefulness of rich mathematical tasks to enhance students' reflective thinking. Jurnal Cakrawala Pendidikan, 39(2), 346–358. https://doi.org/10.21831/cp.v39i2.24047 DOI: https://doi.org/10.21831/cp.v39i2.24047
Fitria, W., Susilana, R., & Priatna, N. (2024). Analysis of problem-solving ability: Polya's strategy and positive attitude. Inovasi Kurikulum, 21(4), 2009–2020. https://doi.org/10.17509/jik.v21i4.74803 DOI: https://doi.org/10.17509/jik.v21i4.74803
Fullan, M., & Langworthy, M. (2014). A rich seam: How new pedagogies find deep learning. Pearson.
Gradini, E., Yustinaningrum, B., & Safitri, D. (2022). Kesalahan siswa dalam memecahkan masalah trigonometri ditinjau dari indikator Polya. Mosharafa: Jurnal Pendidikan Matematika, 11(1), 49–60. https://doi.org/10.31980/mosharafa.v11i1.1226 DOI: https://doi.org/10.31980/mosharafa.v11i1.1226
Gumanti, G., Maimunah, M., & Roza, Y. (2022). Kemampuan pemecahan masalah matematis siswa SMP Kecamatan Bantan. Prisma, 11(2), 310. https://doi.org/10.35194/jp.v11i2.2301 DOI: https://doi.org/10.35194/jp.v11i2.2301
Hasanah, A., & Imami, A. (2022). Kemampuan pemecahan masalah matematis pada siswa sekolah dasar dengan pendekatan matematika realistik. JIIP – Jurnal Ilmiah Ilmu Pendidikan, 6(8), 5911–5916. https://doi.org/10.54371/jiip.v6i8.2661
Kemendiksasmen. (2024). Rapor Pendidikan Indonesia Tahun 2024. Kementerian Pendidikan, Kebudayaan, Riset, dan Teknologi.
Kabael, T., & Baran, D. (2023). Mathematical reasoning and problem-solving skills in middle school students: A comparative study. International Journal of Contemporary Educational Research, 10(1), 45–58.
Mashuri, S., Nasruddin, N., & Sarida, S. (2020). Analisis kesalahan siswa dalam menyelesaikan soal kemampuan pemecahan masalah matematis siswa sekolah menengah atas. Postulat: Jurnal Inovasi Pendidikan Matematika, 1(2), 141–150. https://doi.org/10.30587/postulat.v1i2.2092 DOI: https://doi.org/10.30587/postulat.v1i2.2092
Mulyaningsih, S., Marlina, R., & Effendi, K. N. S. (2020). Analisis kemampuan representasi matematis siswa SMP dalam menyelesaikan soal matematika. JKPM (Jurnal Kajian Pendidikan Matematika), 6(1), 99. https://doi.org/10.30998/jkpm.v6i1.7960 DOI: https://doi.org/10.30998/jkpm.v6i1.7960
Nurhamza, A. M. S., Sulasteri, S., & Sriyanti, A. (2019). Efektivitas penerapan model pembelajaran Visualization, Auditory, Kinestetic (VAK) terhadap kemampuan pemecahan masalah matematika. Alauddin Journal of Mathematics Education, 1(1), 42–50. https://doi.org/10.24252/ajme.v1i1.10933 DOI: https://doi.org/10.24252/ajme.v1i1.10933
Nurmilah, A. S., Karlimah, K., & Rahmat, C. (2023). Kemampuan pemecahan masalah matematis siswa sekolah dasar dengan pendekatan matematika realistik. JIIP – Jurnal Ilmiah Ilmu Pendidikan, 6(8), 5911–5916. https://doi.org/10.54371/jiip.v6i8.2661 DOI: https://doi.org/10.54371/jiip.v6i8.2661
Oikarinen, E., Joutsenlahti, J., & Hannula, M. S. (2022). Students’ collaborative problem solving and communication in mathematics learning. International Journal of Mathematical Education in Science and Technology, 53(5), 1101–1118. https://doi.org/10.1080/0020739X.2021.1875070
Partnership for 21st Century Skills. (2019). Framework for 21st century learning. P21 Organization.
Rahayu, D., Sutikno, S., & Indriyanti, D. (2023). Four C skills in mathematics learning: A systematic literature review. Journal of Education and Learning Research, 6(2), 112–123. https://doi.org/10.26740/jelr.v6n2.p112-123
Susanti, E., Supriyadi, S., & Wibowo, T. (2019). Analisis kemampuan pemecahan masalah matematis siswa sekolah menengah pertama. Jurnal Riset Pendidikan Matematika, 6(2), 112–123. DOI: https://doi.org/10.22460/jpmi.v2i4.p177-186
Tamela, N., & Dwi, A. (2021). Penguatan keterampilan 4C melalui pembelajaran inovatif di abad 21. Jurnal Pendidikan Dasar Nusantara, 7(2), 245–258. https://doi.org/10.29407/jpdn.v7i2.16012
Trisianawati, E., & Manisa, T. (2023). The ability of critical thinking and problem solving prospective biology teacher to solve biological olympiad questions. BIO-INOVED: Jurnal Biologi-Inovasi Pendidikan, 5(1), 1. https://doi.org/10.20527/bino.v5i1.15004 DOI: https://doi.org/10.20527/bino.v5i1.15004
Trisianawati, E., & Manisa, W. (2023). Developing students’ higher-order thinking through problem-solving-based learning in mathematics. Math Didactic: Jurnal Pendidikan Matematika, 9(1), 11–22. https://doi.org/10.33654/math.v9i1.1500
Yusup, M. (2022). Kemampuan pemecahan masalah matematis berdasarkan pendekatan pembelajaran berbasis masalah. Jurnal Cendekia Pendidikan Matematika, 6(1), 15–27. https://doi.org/10.31004/cendekia.v6i1.1123 DOI: https://doi.org/10.31004/cendekia.v6i2.1056
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Sufri Mashuri Sufri, Suradi Tahmir, Ahmad Talib, Hisyam Ihsan (Author)
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
