Based on Van Hiele's level of thinking, this study intends to investigate students' ability to solve geometric problems. Polya's heuristic of problem-solving steps is used to assess problem-solving ability. A qualitative, descriptive study is the form of research used in this case. The Van Hiele Geometry Test (VHGT), problem-solving aptitude assessments, and interviews were used. Based on Van Hiele's level of thinking, researchers chose three students from a group of 27 students in grade VIII high junior school Terpadu Sheikh Muhammad Ja'far as research subjects. Data collection methods include tests and interviews. Data condensation, data presentation, conclusion drafting, and verification are all research data analysis approaches. The validity of the data is verified using a triangulation of techniques and sources. The findings of the study are: subjects at the pre 0 level only have visual, verbal, and drawing skills. Subjects at level 0 (visualization) were not able to solve the four problem-solving heuristics by Polya. Subjects at level 1 (analysis) were able to reach the second stage of the problem-solving heuristic by Polya. Subjects at level 2 (informal deduction reached the third stage of the problem-solving heuristic by Polya.
Downloads
- Abramovich, S., & Grinshpan, A. Z. (2008). Teaching mathematics to non-mathematics majors through applications. Primus, 18(5), 411-428. https://doi.org/10.1080/10511970601182772 DOI: https://doi.org/10.1080/10511970601182772
- Alabdulaziz, M. S., & Higgins, S. (2021). The Compatibility of Developed Mathematics Textbook Content in Saudi Arabia with NCTM Standards: A Critical Review. International Journal of Instruction, 14(2), 461-482. https://doi.org/10.29333/iejme/11103 DOI: https://doi.org/10.29333/iji.2021.14226a
- Anwar, R. B., & Rahmawati, D. (2017). Symbolic and Verbal Representation Process of Student in Solving Mathematics Problem Based Polya's Stages. International Education Studies, 10(10), 20-28. https://eric.ed.gov/?id=EJ1156292 DOI: https://doi.org/10.5539/ies.v10n10p20
- Clements, D. H., & Sarama, J. (2011). Early childhood teacher education: The case of geometry. Journal of mathematics teacher education, 14(2), 133-148. https://doi.org/10.1007/s10857-011-9173-0 DOI: https://doi.org/10.1007/s10857-011-9173-0
- Creswell, J. W., & Creswell, J. D. (2017). Research design: Qualitative, quantitative, and mixed methods approaches. Sage publications.
- D’Ambrosio, U. (2007). The role of mathematics in educational systems. ZDM, 39(1), 173-181. https://doi.org/10.1007/s11858-006-0012-1 DOI: https://doi.org/10.1007/s11858-006-0012-1
- Daulay, K. R., & Ruhaimah, I. (2019). Polya theory to improve problem-solving skills. Journal of Physics: Conference Series (Vol. 1188, No. 1, p. 012070). IOP Publishing. https://doi.org/10.1088/1742-6596/1188/1/012070/meta DOI: https://doi.org/10.1088/1742-6596/1188/1/012070
- Davis, B., & Simmt, E. (2006). Mathematics-for-teaching: An ongoing investigation of the mathematics that teachers (need to) know. Educational studies in mathematics, 61(3), 293-319. https://doi.org/10.1007/s10649-006-2372-4 DOI: https://doi.org/10.1007/s10649-006-2372-4
- Deal, L. J., & Wismer, M. G. (2010). NCTM principles and standards for mathematically talented students. Gifted Child Today, 33(3), 55-65. https://doi.org/10.1177/107621751003300313 DOI: https://doi.org/10.1177/107621751003300313
- Elia, I., van den Heuvel-Panhuizen, M., & Kolovou, A. (2009). Exploring strategy use and strategy flexibility in non-routine problem solving by primary school high achievers in mathematics. ZDM, 41(5), 605-618. https://doi.org/10.1007/s11858-009-0184-6 DOI: https://doi.org/10.1007/s11858-009-0184-6
- Ersoy, M., İlhan, O. A., & Sevgi, S. (2019). Analysis of the Relationship between Quadrilaterals Achievement Levels and Van Hiele Geometric Thinking Levels of the Seventh Grade Students. Higher Education Studies, 9(3), 1-11. DOI: https://doi.org/10.5539/hes.v9n3p1
- Gal, H. (2019). When the use of cognitive conflict is ineffective—problematic learning situations in geometry. Educational Studies in Mathematics, 102(2), 239-256. https://doi.org/10.1007/s10649-019-09904-8 DOI: https://doi.org/10.1007/s10649-019-09904-8
- Graham, K. J., & Fennell, F. (2001). Principles and standards for school mathematics and teacher education: Preparing and empowering teachers. School Science and Mathematics, 101(6), 319-327. https://doi.org/10.1111/j.1949-8594.2001.tb17963.x DOI: https://doi.org/10.1111/j.1949-8594.2001.tb17963.x
- Haataja, E., Moreno-Esteva, E. G., Salonen, V., Laine, A., Toivanen, M., & Hannula, M. S. (2019). Teacher's visual attention when scaffolding collaborative mathematical problem solving. Teaching and Teacher Education, 86, 102877. https://doi.org/10.1016/j.tate.2019.102877 DOI: https://doi.org/10.1016/j.tate.2019.102877
- Halat, E. (2006). Sex-related differences in the acquisition of the van Hiele levels and motivation in learning geometry. Asia Pacific education review, 7(2), 173-183. https://doi.org/10.1007/BF03031541 DOI: https://doi.org/10.1007/BF03031541
- Hasbi, M., Lukito, A., & Sulaiman, R. (2019). Mathematical Connection Middle-School Students 8th in Realistic Mathematics Education. In Journal of Physics: Conference Series (Vol. 1417, No. 1, p. 012047). IOP Publishing. https://doi.org/10.1088/1742-6596/1417/1/012047/meta DOI: https://doi.org/10.1088/1742-6596/1417/1/012047
- Hilbert, T. S., Renkl, A., Kessler, S., & Reiss, K. (2008). Learning to prove in geometry: Learning from heuristic examples and how it can be supported. Learning and Instruction, 18(1), 54-65. https://doi.org/10.1016/j.learninstruc.2006.10.008Huinker, D. (2018). Principles to Actions: Moving to a framework for teaching mathematics. Teaching Children Mathematics, 25(3), 133-136. https://doi.org/10.5951/teacchilmath.25.3.0133 DOI: https://doi.org/10.1016/j.learninstruc.2006.10.008
- Jäder, J., Lithner, J., & Sidenvall, J. (2020). Mathematical problem solving in textbooks from twelve countries. International Journal of Mathematical Education in Science and Technology, 51(7), 1120-1136. https://doi.org/10.1080/0020739X.2019.1656826 DOI: https://doi.org/10.1080/0020739X.2019.1656826
- Kusuma, M. A., Yuliati, N., Maharani, P., & Hasanah, N. (2021). Thinking process of 7th class students in understanding quadrilateral concepts based on Van Hiele theory. In Journal of Physics: Conference Series (Vol. 1839, No. 1, p. 012012). IOP Publishing. DOI: https://doi.org/10.1088/1742-6596/1839/1/012012
- Maharani, A., Sulaiman, H., Aminah, N., & Rosita, C. D. (2019). Analyzing the student’s cognitive abilities through the thinking levels of geometry van hiele reviewed from gender perspective. In Journal of Physics: Conference Series (Vol. 1188, No. 1, p. 012066). IOP Publishing. DOI: https://doi.org/10.1088/1742-6596/1188/1/012066
- Morino, L. (2021). Basic Analytic Geometry. In Mathematics and Mechanics-The Interplay (pp. 255-296). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-63207-9_7 DOI: https://doi.org/10.1007/978-3-662-63207-9_7
- Nusaibah, N., Pramudya, I., & Subanti, S. (2021). Geometric Thinking Skills of Seventh Grade Students on the Topic of Triangle and Quadrilateral Based on Van Hiele Geometry Learning Theory. In Journal of Physics: Conference Series (Vol. 1776, No. 1, p. 012020). IOP Publishing. DOI: https://doi.org/10.1088/1742-6596/1776/1/012020
- Ramlan, A. M. (2016). The effect of Van Hiele learning model toward geometric reasoning ability based on self-efficacy of senior high school students. JME (Journal of Mathematics Education), 1(2), 62-71. https://doi.org/10.31327/jomedu.v1i2%20July.54 DOI: https://doi.org/10.31327/jme.v1i2.54
- Rahayuningsih, S., Hasbi, M., Mulyati, M., & Nurhusain, M. (2021). The effect of self-regulated learning on students’problem-solving abilities. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(2), 927-939. http://dx.doi.org/10.24127/ajpm.v10i2.3538 DOI: https://doi.org/10.24127/ajpm.v10i2.3538
- Rellensmann, J., Schukajlow, S., & Leopold, C. (2020). Measuring and investigating strategic knowledge about drawing to solve geometry modelling problems. ZDM, 52(1), 97-110. https://doi.org/10.1007/s11858-019-01085-1 DOI: https://doi.org/10.1007/s11858-019-01085-1
- Serin, H. (2018). Perspectives on the Teaching of Geometry: Teaching and Learning Methods. J. Educ. Train, 5(1), 131-137. DOI: https://doi.org/10.5296/jet.v5i1.12115
- Schukajlow, S., Kaiser, G., & Stillman, G. (2018). Empirical research on teaching and learning of mathematical modelling: A survey on the current state-of-the-art. ZDM, 50(1), 5-18. https://doi.org/10.1007/s11858-018-0933-5 DOI: https://doi.org/10.1007/s11858-018-0933-5
- Sulistiowati, D. L., Herman, T., & Jupri, A. (2019). Student difficulties in solving geometry problem based on Van Hiele thinking level. In Journal of Physics: Conference Series (Vol. 1157, No. 4, p. 042118). IOP Publishing. DOI: https://doi.org/10.1088/1742-6596/1157/4/042118
- Tambychik, T., & Meerah, T. S. M. (2010). Students’ difficulties in mathematics problem-solving: What do they say?. Procedia-Social and Behavioral Sciences, 8, 142-151. https://doi.org/10.1016/j.sbspro.2010.12.020 DOI: https://doi.org/10.1016/j.sbspro.2010.12.020
- Taneo, P. N., & Kusumah, Y. S. (2021). Analysis of Students' Mathematical Problem-Solving Ability Based on Category Levels Through Polya Steps. (JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNING, 4(2), 87-95. http://dx.doi.org/10.22460/jiml.v4i2.p87-95 DOI: https://doi.org/10.22460/jiml.v4i2.p87-95
- Tarim, K. (2009). The effects of cooperative learning on preschoolers’ mathematics problem-solving ability. Educational studies in mathematics, 72(3), 325-340. https://doi.org/10.1007/s10649-009-9197-x DOI: https://doi.org/10.1007/s10649-009-9197-x
- Yalley, E., Armah, G., & Ansah, R. K. (2021). Effect of the VAN Hiele Instructional Model on Students’ Achievement in Geometry. Education Research International, 2021. DOI: https://doi.org/10.1155/2021/6993668
- Watan, S. (2018). Exploring the relationship between teachers’ instructional and students’ geometrical thinking levels based on van Hiele theory. In Journal of Physics: Conference Series (Vol. 1097, No. 1, p. 012122). IOP Publishing. DOI: https://doi.org/10.1088/1742-6596/1097/1/012122
- Wijaya, Y. Y., Margaretha, P. M., & Wijayanti, N. P. A. A. (2019). Senior high school student’s visual-spatial intelligence according to van hiele geometric thinking theory. In IOP Conference Series: Earth and Environmental Science (Vol. 243, No. 1, p. 012055). IOP Publishing. DOI: https://doi.org/10.1088/1755-1315/243/1/012055
- Whitney, H. (2015). Geometric integration theory. Princeton university press.
- Yi, M., Flores, R., & Wang, J. (2020). Examining the influence of van Hiele theory-based instructional activities on elementary preservice teachers’ geometry knowledge for teaching 2-D shapes. Teaching and Teacher Education, 91, 103038. https://doi.org/10.1016/j.tate.2020.103038 DOI: https://doi.org/10.1016/j.tate.2020.103038
- Yudianto, E., Sugiarti, T., & Trapsilasiwi, D. (2018). The identification of van Hiele level students on the topic of space analytic geometry. In Journal of Physics: Conference Series (Vol. 983, No. 1, p. 012078). IOP Publishing. DOI: https://doi.org/10.1088/1742-6596/983/1/012078
- Zhou, D., Du, X., Hau, K. T., Luo, H., Feng, P., & Liu, J. (2020). Teacher-student relationship and mathematical problem-solving ability: mediating roles of self-efficacy and mathematical anxiety. Educational Psychology, 40(4), 473-489. https://doi.org/10.1080/01443410.2019.1696947 DOI: https://doi.org/10.1080/01443410.2019.1696947
Similar Articles
- Erviana Nur Laili, Dwi Noviani Sulisawati, Nur Hidayatin, Ethnomathematics of Geometric Transformation in Knitting Mosaic Patterns with Terrazzo Motifs , ETDC: Indonesian Journal of Research and Educational Review : Vol. 4 No. 4 (2025): September
- Iin Rohkmawati Ibrahim, Samuel P Ritiauw, Leonid Ritiauw, Self Directed Learning Model on Social Sciences Learning Outcomes in Grade IV Students of Elementary School , ETDC: Indonesian Journal of Research and Educational Review : Vol. 5 No. 2 (2026): March
- Ishak Ishak, Rusli Rusli, Muh. Adnan Hudain, Pull-Back Turns, Outside Stops, and Inside Stops Training on Dribbling Skills: Extracurricular Team of State High School , ETDC: Indonesian Journal of Research and Educational Review : Vol. 5 No. 3 (2026): June
- Ummul Khaer, Mansur Mansur, Baso Syafaruddin, Holistic Pedagogical Strategies: Combating Bullying in Islamic Secondary Schools Through Religious Education , ETDC: Indonesian Journal of Research and Educational Review : Vol. 5 No. 4 (2026): September
- Juhanis Juhanis, Retno Farhana Nurulita, Top Serving Ability in BKMF Sparta FIKK UNM Volleyball Games , ETDC: Indonesian Journal of Research and Educational Review : Vol. 3 No. 2 (2024): March
- Baso Syafaruddin, Mansur Mansur, Suriana Suriana, Development of Principal Strategy Model in Mitigating Student Violence in Elementary Schools , ETDC: Indonesian Journal of Research and Educational Review : Vol. 3 No. 2 (2024): March
- Muh. Akhir, Suwardi Suwardi, Muh. Adnan Hudain, Fahrizal Fahrizal, Ilham Kamaruddin, Underhand Passing Ability of Middle School Extracurricular Volleyball Students: Push Up and Pull Up Exercises , ETDC: Indonesian Journal of Research and Educational Review : Vol. 4 No. 2 (2025): March
- Sitti Habibah, Agusalim Juhari, The Influence of a Principal's Transformational Leadership Style on Teacher Performance in the Digital Era: A Case Study , ETDC: Indonesian Journal of Research and Educational Review : Vol. 5 No. 1 (2025): December
- Dina Nur Istikomah, Nirva Diana , Yetri Hasan, The Effect of the Adiwiyata Program on Students' Environmental Awareness , ETDC: Indonesian Journal of Research and Educational Review : Vol. 5 No. 3 (2026): June
- Abrar Abrar, Muh. Adnan Hudain, Ahmad Adil, Audiovisual Media to Improve Football Passing Learning Outcomes among Elementary School Students: A Classroom Action Research , ETDC: Indonesian Journal of Research and Educational Review : Vol. 5 No. 4 (2026): September
<< < 11 12 13 14 15 16 17 18 19 20 > >>
You may also start an advanced similarity search for this article.


















