Students' Pseudo-Thinking in Solving the Area of Obtuse Triangles: A Mindset-Based Perspective
Abstract
The research aims to describe the different characteristics of students’ pseudo-thinking in solving areas of obtuse triangles based on their mindset. The categorization of pseudo-thinking is based on the Vinner and Subanji frameworks, while the mindset is categorized according to the Dweck framework. The research was conducted in one of the Junior High Schools in the Kebumen district with 111 students. The study employs a qualitative, grounded theory design. Data were collected through the math test, the mindset questionnaire, and the interview. The data were analyzed using a process that consists of open, axial, and selective coding to identify patterns of reasoning among students. The study found that students with a growth mindset exhibit both true and false pseudo-thinking, whereas students with a fixed mindset exhibit only true pseudo-thinking. Students with a growth mindset tend to engage in pseudo-thinking by misapplying the Pythagorean Theorem. On the other hand, fixed-mindset students often perform pseudo-thinking by using the incorrect formula. GMS is often overconfident in its old knowledge, leading to incorrect decisions, while FMS tends to focus solely on memorizing formulas and settings without reflection. This study is significant because it highlights how students’ mindsets influence their problem-solving abilities, particularly in geometric problems. Educators can use the insight gained from the study to develop effective learning strategies and help students grasp mathematics more deeply.
Keywords
Full Text:
PDFReferences
Adhitya, Y., & Prabawanto, S. (2019). Characteristics of seventh grade students’ pseudo thinking in solving mathematical reasoning about number operation based on mindset. Journal of Physics: Conference Series, 1157(4). https://doi.org/10.1088/1742-6596/1157/4/042094
Anggraini, D., Kusmayadi, T. A., & Pramudya, I. (2018a). Construction of the mathematical concept of pseudo thinking students. Journal of Physics: Conference Series, 1022, 012010. https://doi.org/10.1088/1742-6596/1022/1/012010
Anggraini, D., Kusmayadi, T. A., & Pramudya, I. (2018b). The characteristics of failure among students who experienced pseudo thinking. Journal of Physics: Conference Series, 1008(1). https://doi.org/10.1088/1742-6596/1008/1/012061
Boaler, J. (2021). The Transformative Impact of a Mathematical Mindset Experience Taught at Scale. Frontiers in Education, 6. https://doi.org/10.3389/feduc.2021.784393
Boaler, J. (2022). Mathematical mindsets: Unleashing students’ potential through creative mathematics, inspiring messages and innovative teaching. John Wiley & Sons.
Boaler, J., Dieckmann, J. A., LaMar, T., Leshin, M., & ... (2021). The transformative impact of a mathematical mindset experience taught at scale. Frontiers in …. https://doi.org/10.3389/feduc.2021.784393
Boaler, J., Dieckmann, J. A., Pérez-Núñez, G., Sun, K. L., & Williams, C. (2018). Changing Students Minds and Achievement in Mathematics: The Impact of a Free Online Student Course. Frontiers in Education, 3. https://doi.org/10.3389/feduc.2018.00026
Cahdriyana, R. A., Richardo, R., Fahmi, S., & Setyawan, F. (2019). Pseudo-thinking process in solving logic problem. Journal of Physics: Conference Series, 1188(1). https://doi.org/10.1088/1742-6596/1188/1/012090
Casanova, J. R., Cantoria, C. C. C., & Lapinid, M. R. C. (2021). Students’ Geometric Thinking on Triangles: Much Improvement is Needed. Infinity Journal, 10(2), 217. https://doi.org/10.22460/infinity.v10i2.p217-234
Creswell, J. W., & Cresswell, D. (2018). Research design : Qualitative, quantitative, and mixed methods approaches. In Research design.
Daly, I., Bourgaize, J., & Vernitski, A. (2019). Mathematical mindsets increase student motivation: Evidence from the EEG. Trends in Neuroscience and Education. https://www.sciencedirect.com/science/article/pii/S2211949318300346
Degol, J. L., Wang, M. T., Zhang, Y., & Allerton, J. (2018). Do growth mindsets in math benefit females? Identifying pathways between gender, mindset, and motivation. Journal of Youth and …. https://doi.org/10.1007/s10964-017-0739-8
Dong, L., Jia, X., & Fei, Y. (2023a). How growth mindset influences mathematics achievements: A study of Chinese middle school students. Frontiers in Psychology, 14. https://doi.org/10.3389/fpsyg.2023.1148754
Dong, L., Jia, X., & Fei, Y. (2023b). How growth mindset influences mathematics achievements: A study of Chinese middle school students. Frontiers in Psychology, 14. https://doi.org/10.3389/fpsyg.2023.1148754
Dweck, C. S. (2006). Mindset: the new psychology of success. Choice Reviews Online, 44(04), 44-2397-44–2397. https://doi.org/10.5860/CHOICE.44-2397
Fukui, M., Xiang, L., Sano, Y., Yanuarto, W. N., Anggoro, S., Chew, P., Ong, E. T., & Ng, K. T. (2024). An Exploratory Study of the Relationship between Fixed/Growth Mindset and Computational Thinking among University Students. Proceedings of International Conference on Computational Thinking Education, 1–6. https://www.scopus.com/inward/record.uri?eid=2-s2.0-85204769385&partnerID=40&md5=74136b1eab0fa5344173b618c2fe674b
Gupta, S., & Malodia, S. (2023). Grounded theory: What, why, and how. In Researching and Analysing Business: Research Methods in Practice. https://doi.org/10.4324/9781003107774-7
Guttin, T., Penny Light, T., & Baillie, S. (2022). Exploring the Mindset of Veterinary Educators for Intelligence, Clinical Reasoning, Compassion, and Morality. Journal of Veterinary Medical Education, 49(5), 603–609. https://doi.org/10.3138/jvme-2021-0057
Huffman, B. M., Hafferty, F. W., Bhagra, A., Leasure, E. L., Santivasi, W. L., & Sawatsky, A. P. (2021). Resident impression management within feedback conversations: A qualitative study. Medical Education, 55(2), 266–274. https://doi.org/10.1111/medu.14360
Hwang, N., Reyes, M., & Eccles, J. S. (2019). Who Holds a Fixed Mindset and Whom Does It Harm in Mathematics? Youth & Society, 51(2), 247–267. https://doi.org/10.1177/0044118X16670058
Idris, M. (2024). Analysis Of Student’s Mistakes In Solving Problem On Pythagoras Theorem at SMP Negeri Palu. JME (Journal of Mathematics Education), 9(2), 184–197. https://doi.org/10.31327/jme.v9i2.2059
Kwan, L. Y.-Y., Hung, Y. S., & Lam, L. (2022). How Can We Reap Learning Benefits for Individuals With Growth and Fixed Mindsets?: Understanding Self-Reflection and Self-Compassion as the Psychological Pathways to Maximize Positive Learning Outcomes. Frontiers in Education, 7. https://doi.org/10.3389/feduc.2022.800530
Lesmana, B. N., Supratman, S., & Rahayu, D. V. (2022). Defragmentation of The False-Pseudo Thinking Process of Students in Solving Mathematical Connection Ability Problems. Mathline : Jurnal Matematika Dan Pendidikan Matematika, 7(2), 250–268. https://doi.org/10.31943/mathline.v7i2.284
Limeri, L. B., Carter, N. T., Choe, J., Harper, H. G., Martin, H. R., Benton, A., & Dolan, E. L. (2020). Growing a growth mindset: characterizing how and why undergraduate students’ mindsets change. International Journal of STEM Education, 7(1), 35. https://doi.org/10.1186/s40594-020-00227-2
Maskar, S. (2023). The relation between teacher and students’ mathematical mindsets to the student’s comprehension of mathematics concepts. Journal on Mathematics Education, 15(1), 27–54. https://doi.org/10.22342/jme.v15i1.pp27-54
Muslim, R. I., Usodo, B., & Pratiwi, H. (2021). Pseudo Thinking Process in Understanding the Concept of Exponential Equations. IOP Conference Series: Earth and Environmental Science, 1808(1). https://doi.org/10.1088/1742-6596/1808/1/012043
Nizaruddin, N., & Kusmaryono, I. (2023). Transforming Students’ Pseudo-Thinking Into Real Thinking in Mathematical Problem Solving. International Journal of Educational Methodology, 9(3), 477–491. https://doi.org/10.12973/ijem.9.3.477
Purbaningrum, M., Ramadhan, S., & Thauzahra, R. (2023). Why is Math Difficult? : Beliefs That Affecting Students’ Mathematics Skills. Jurnal Paedagogy, 10(4), 1000. https://doi.org/10.33394/jp.v10i4.8652
Pyne, J., Grodsky, E., Eklund, K., Schaefer, P., & Vaade, E. (2024). Teacher Mindsets and Student Sense of Classroom Belonging. The Journal of Early Adolescence, 44(5), 579–599. https://doi.org/10.1177/02724316231188683
Rege, M., Hanselman, P., Solli, I. F., Dweck, C. S., & ... (2021). How can we inspire nations of learners? An investigation of growth mindset and challenge-seeking in two countries. American …. https://psycnet.apa.org/record/2020-84549-001
Repuya, C. R., & Esterninos, J. (2022). Enhancing Mathematics Learning by Integrating Growth Mindset Principles in Ninth-Grade Supplementary Materials. Southeast Asian Mathematics Education Journal, 12(1), 11–36. https://doi.org/10.46517/seamej.v12i1.179
Rudi, R., Suryadi, D., & Rosjanuardi, R. (2020). Identifying Students’ Difficulties in Understanding and Applying the Pythagorean Theorem with An Onto-Semiotic Approach. MaPan, 8(1), 1–18. https://doi.org/10.24252/mapan.2020v8n1a1
Saefudin, A. A. (2023). The characteristics of the mathematical mindset of junior high school students. Eurasia Journal of Mathematics, Science and Technology Education, 19(1). https://doi.org/10.29333/ejmste/12770
Samuel, T. S., & Warner, J. (2021). “I can math!”: Reducing math anxiety and increasing math self-efficacy using a mindfulness and growth mindset-based intervention in first-year students. College Journal of Research and Practice. https://doi.org/10.1080/10668926.2019.1666063
Setyaningrum, L., Kholid, M. N., Prihatini, C., Maretha, C., & Alrajafi, G. (2024). Defragmenting the structure of Pseudo-Thinking students in solving contextual problems on integer problems. 020014. https://doi.org/10.1063/5.0182799
Simon, A. L., Rott, B., & Schindler, M. (2021). IDENTIFICATION OF GEOMETRIC SHAPES: AN EYE-TRACKING STUDY ON TRIANGLES. Proceedings of the International Group for the Psychology of Mathematics Education, 4, 57–64. https://www.scopus.com/inward/record.uri?eid=2-s2.0-85160851927&partnerID=40&md5=32dd3c49c679cc4488736599fea8d165
Stohlmann, M., & Yang, Y. (2024). Growth mindset in high school mathematics: A review of the literature since 2007. Journal of Pedagogical Research. https://doi.org/10.33902/JPR.202424437
Subanji, S. (2021). Teori berpikir pseudo.
Subanji, S., & Nusantara, T. (2016). Thinking Process of Pseudo Construction in Mathematics Concepts. International Education Studies, 9(2), 17. https://doi.org/10.5539/ies.v9n2p17
Sulistyorini, Y. (2018). Error Analysis in Solving Geometry Problem on Pseudo-Thinking’s Students. Proceedings of the University of Muhammadiyah Malang’s 1st International Conference of Mathematics Education (INCOMED 2017). https://doi.org/10.2991/incomed-17.2018.22
Sun, K. L. (2018). Brief report: The role of mathematics teaching in fostering student growth mindset. Journal for Research in Mathematics Education. https://pubs.nctm.org/abstract/journals/jrme/49/3/article-p330.xml
Syahraini, A., Priatna, N., & Suhendra, S. (2023). Students’ Pseudo-Thinking Process in Solving SPLDV Problems Based on Polya’s Stages. Jurnal Analisa, 9(1), 12–21. https://doi.org/10.15575/ja.v9i1.26543
Taamneh, M. A., Díez-Palomar, J., & Mallart-Solaz, A. (2024). Examining tenth-grade students’ errors in applying Polya’s problem-solving approach to Pythagorean theorem. Eurasia Journal of Mathematics, Science and Technology Education, 20(12), em2551. https://doi.org/10.29333/ejmste/15707
Vinner, S. (1997). The Pseudo-Conceptual and the Pseudo-Analytical Thought Processes in Mathematics Learning. Educational Studies in Mathematics, 34(2), 97–129. https://doi.org/10.1023/A:1002998529016
Wang, M., Zepeda, C. D., Qin, X., Del Toro, J., & Binning, K. R. (2021). More Than Growth Mindset: Individual and Interactive Links Among Socioeconomically Disadvantaged Adolescents’ Ability Mindsets, Metacognitive Skills, and Math Engagement. Child Development, 92(5). https://doi.org/10.1111/cdev.13560
Ximena Díaz Pinzón, Y., & Enrique González, F. (2025). Manifestaciones de Conocimiento por parte de los Profesores de Educación Básica Primaria (EBP) en Situaciones de Enseñanza de la Geometría. Acta Scientiae, 26(3). https://doi.org/10.17648/acta.scientiae.8138
DOI: https://doi.org/10.46517/seamej.v15i2.474
Refbacks
- There are currently no refbacks.
Indexed by:
Southeast Asian Mathematics Education Journal
SEAMEO Regional Centre for QITEP in Mathematics
Jl. Kaliurang Km 6, Sambisari, Condongcatur, Depok, Sleman
Yogyakarta, Indonesia
Telp. +62 274 889955
Email: seamej@qitepinmath.org
p-ISSN: 2089-4716 | e-ISSN: 2721-8546
Southeast Asian Mathematics Education Journal is licensed under a Creative Commons Attribution 4.0 International License
View My Stats
Supported by:



