Vol. 8 No. 3 (2026): Edisi September
Open Access
Peer Reviewed

Mathematics Teachers’ Perception in Using Mathematical Problem-Solving as a Teaching Method for Form 1 of Secondary School

Authors

Ratna Kumala , Rahmawati Rahmawati , Muh. Masri Sari

DOI:

10.29303/jm.v8i3.12486

Published:

2026-09-30

Downloads

Abstract

This study explores teachers' perceptions and practices regarding problem-solving in Form 1 Mathematics classrooms. Problem-solving is widely recognized as a fundamental component of mathematics education, yet its effective implementation remains a significant challenge. Employing a qualitative research approach, this study utilized semi-structured interviews with two mathematics teachers and thematic analysis to examine how teachers perceive, interpret, and apply problem-solving approaches in their instruction. The findings reveal that although teachers hold positive attitudes toward problem-solving and acknowledge its importance in developing Higher-Order Thinking Skills (HOTS), their self-reported classroom practices rarely reflect the systematic use of established frameworks such as Polya's Model. Key barriers identified include insufficient professional training, curriculum time constraints, and students' weak foundational mathematical skills. This perception-practice gap indicates a significant disconnect between teachers' beliefs and their instructional reality. The study concludes that structured professional development programs, curriculum flexibility, and targeted support systems are essential to bridge this gap and enhance the quality of problem-solving instruction in mathematics education

Keywords:

problem-solving teacher perceptions instructional practices Polya's model higher-order thinking skills

References

Acevedo, G., & Pino-Fan, L. (2024). A proposal for the study of mathematics teachers’ beliefs through the analysis of their practices. Mathematics Education Research Journal, 37, 429–453. https://doi.org/10.1007/s13394-024-00496-y

Ahmed, S. (2024). The Pillars of Trustworthiness in Qualitative Research. Journal of Medicine, Surgery, and Public Health. https://doi.org/10.1016/j.glmedi.2024.100051

Akçay, B., & Fen, T. (2025). Problem-Based Learning in Science Education. https://consensus.app/papers/problembased-learning-in-science-education-akay-fen/7fcf0b3e9db150e2b45d48285b6abe78/

Antao, M., & Morales, Jr. R. (2025). Increasing the interest of students in problem-solving through authentic learning experiences: Lens from non-math enthusiast learners. Environment and Social Psychology. https://doi.org/10.59429/esp.v10i2.3175

Anugraheni, I., Gufron, A., & Purnomo, Y. (2025). The impact of realistic problem-based learning on mathematical connection abilities: evidence from elementary schools in Indonesia. Cogent Education, 12. https://doi.org/10.1080/2331186x.2025.2523078

Bailey, J. (2022). Learning to Teach Mathematics Through Problem Solving. New Zealand Journal of Educational Studies, 1–17. https://doi.org/10.1007/s40841-022-00249-0

Baste, R. C. (2025). Unfolding the Barriers of Problem-Solving Skills: Narrative of Mathematics Teachers. International Journal of Innovative Science and Research Technology, 2008–2011. https://doi.org/10.38124/ijisrt/25aug1278

Birt, L., Scott, S., Cavers, D., Campbell, C., & Walter, F. (2016). Member Checking. Qualitative Health Research, 26, 1802–1811. https://doi.org/10.1177/1049732316654870

Braun, V., & Clarke, V. (2006). Using thematic analysis in psychology. Qualitative Research in Psychology, 3(2), 77–101. https://doi.org/10.1191/1478088706qp063oa

Byrnes, J., & Wasik, B. (1991). Role of Conceptual Knowledge in Mathematical Procedural Learning. Developmental Psychology, 27, 777–786. https://doi.org/10.1037/0012-1649.27.5.777

Čadež, T. H., & Kolar, V. M. (2015). Comparison of types of generalizations and problem-solving schemas used to solve a mathematical problem. Educational Studies in Mathematics, 89, 283–306. https://doi.org/10.1007/s10649-015-9598-y

Campbell, S., Greenwood, M., Prior, S., Shearer, T., Walkem, K., Young, S., Bywaters, D., & Walker, K. (2020). Purposive sampling: complex or simple? Research case examples. Journal of Research in Nursing, 25, 652–661. https://doi.org/10.1177/1744987120927206

Candela, A. (2019). Exploring the Function of Member Checking. The Qualitative Report. https://doi.org/10.46743/2160-3715/2019.3726

Charles, R., & Silver, E. (2025). The Teaching and Assessing of Mathematical Problem Solving. Research Agenda for Mathematics Education Series. Volume 3. https://consensus.app/papers/the-teaching-and-assessing-of-mathematical-problem-charles-silver/6f3d190b66e45fa5b5e8d41f7e160f50/

Creswell, D. J. , & Creswell, J. W. (2018). Research Design: Qualitative, Quantitative, and Mixed Methods Approaches (Fifth Edition ed.). United Kingdom: SAGE Publications.

Dinglasan, J. K., Caraan, D. R., & Ching, D. (2023). Effectiveness of Realistic Mathematics Education Approach on Problem-Solving Skills of Students. International Journal of Educational Management and Development Studies. https://doi.org/10.53378/352980

Doolittle, P., Wojdak, K., & Walters, A. (2023). Defining Active Learning: A Restricted Systemic Review. Teaching and Learning Inquiry. https://doi.org/10.20343/teachlearninqu.11.25

Ellis, J., & Hart, D. (2023). Strengthening the Choice for a Generic Qualitative Research Design. The Qualitative Report. https://doi.org/10.46743/2160-3715/2023.5474

English, L. D. (2023). Ways of thinking in STEM-based problem solving. ZDM - Mathematics Education, 55(7), 1219–1230. https://doi.org/10.1007/s11858-023-01474-7

Ernest, P. (1989). The Knowledge, Beliefs and Attitudes of the Mathematics Teacher: a model. Journal of Education for Teaching, 15, 13–33. https://doi.org/10.1080/0260747890150102

Fauziyah, N., & Rahma, Z. N. (2025). Analysis of student’s mathematical problem-solving ability with moderate learning readiness based on Polya’s theory. Research and Development in Education (RaDEn). https://doi.org/10.22219/raden.v5i1.39567

Fererde, A., Mihrka, A., Ayele, M., & Arara, A. (2024). Enhancing Students’ Conceptual Understanding and Problem-Solving Skills in Learning Trigonometry Through Contextual-Based Mathematical Modeling Instruction. International Journal of Secondary Education. https://doi.org/10.11648/j.ijsedu.20241204.15

Guerrero, R. J. A., Pacheco, D. A. A., Quiñónez, E. D. R., Mina, J. J. S., Mina, R. R. S., & Mina, A. N. S. (2025). Desarrollo de habilidades de pensamiento crítico mediante problemas de matemáticas aplicadas. Star of Sciences Multidisciplinary Journal. https://doi.org/10.63969/90r9yd78

Handal, B. (2015). Teachers’ Mathematical Beliefs: A Review. The Mathematics Educator. https://doi.org/10.63301/tme.v13i2.1863

Harisman, Y., Bakar, M. T., & Harun, L. (2023). Problem-solving behaviour of junior high school students in solving HOT problems. International Seminar On Mathematics, Science, And Computer Science Education (MSCEIS) 2021. https://doi.org/10.1063/5.0155514

Harisman, Y., Kusumah, Y., & Kusnandi, K. (2018). Teachers’ reflections on students’ mathematical problem solving in junior high school. Journal of Physics: Conference Series, 1088. https://doi.org/10.1088/1742-6596/1088/1/012011

Harisman, Y., Kusumah, Y., & Kusnandi, K. (2019). Beliefs of junior high school teachers on learning process on mathematical problem solving. Journal of Physics: Conference Series, 1157. https://doi.org/10.1088/1742-6596/1157/3/032112

Hechter, J., Stols, G., & Combrinck, C. (2022). The Reciprocal Relationship Between Conceptual and Procedural Knowledge A Case Study of Two Calculus Problems. African Journal of Research in Mathematics, Science and Technology Education, 26, 111–124. https://doi.org/10.1080/18117295.2022.2101271

Hidayah, R. N., & Murti, R. (2025). Evaluating Mathematical Problem-Solving Skills in Primary School Students: Challenges and Insights from Polya’s Framework. AL-ISHLAH: Jurnal Pendidikan. https://doi.org/10.35445/alishlah.v17i3.6534

Hiebert, J., & Lefèvre, P. (2013). Conceptual and Procedural Knowledge in Mathematics: An Introductory Analysis. 17–44. https://doi.org/10.4324/9780203063538-6

Hmelo‐Silver, C. (2004). Problem-Based Learning: What and How Do Students Learn? Educational Psychology Review, 16, 235–266. https://doi.org/10.1023/b:edpr.0000034022.16470.f3

Hodnik, T., & Kolar, V. M. (2022). Problem Solving and Problem Posing: From Conceptualisation to Implementation in the Mathematics Classroom. Center for Educational Policy Studies Journal. https://doi.org/10.26529/cepsj.1418

Kholid, M. N., Sa’dijah, C., Hidayanto, E., & Permadi, H. (2022). Students’ reflective thinking pattern changes and characteristics of problem solving. Reflective Practice, 23, 319–341. https://doi.org/10.1080/14623943.2021.2025353

Koelsch, L. (2013). Reconceptualizing the Member Check Interview. International Journal of Qualitative Methods, 12, 168–179. https://doi.org/10.1177/160940691301200105

Kuncoro, K., Hidayat, A., Nadzeri, M. B., Juandi, D., Hendriyanto, A., & Meirani, F. (2025). Thinking Beyond the Equations: A Deep Dive into Reflective Thinking for Mathematics Learning. Participatory Educational Research. https://doi.org/10.17275/per.25.75.12.5

Leder, G., Pehkonen, E., & Törner, G. (2002). Beliefs A hidden variable in Mathematics Education. https://doi.org/10.1007/0-306-47958-3

Liljedahl, P., Santos-Trigo, M., Malaspina, U., & Bruder, R. (2016). Problem Solving in Mathematics Education. https://doi.org/10.1007/978-3-319-40730-2

Lit, S., Kool, M., & Drijvers, P. (2026). Teacher knowledge and skills for mathematical problem solving: a systematic literature review. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-025-09737-8

Liu, L. (2016). Using Generic Inductive Approach in Qualitative Educational Research: A Case Study Analysis. Journal of Education and Learning, 5, 129–135. https://doi.org/10.5539/jel.v5n2p129

Muhammad, R. R., Lawson, D., Aslam, F., & Crawford, M. (2023). Indonesian Curriculum 2013 Ten Years On: Impact on Mathematics Teaching. Journal of Research in Science, Mathematics and Technology Education. https://doi.org/10.31756/jrsmte.616si

Muhtarom, M., Nizaruddin, N., Sutrisno, S., & Pathuddin, P. (2020). Capturing Prospective Teachers’ Beliefs about Mathematical Problem Solving. Universal Journal of Educational Research, 8, 2100–2107. https://doi.org/10.13189/ujer.2020.080548

Netekal, M., Hegade, P., & Shettar, A. (2023). Knowledge Structuring and Construction in Problem Based Learning. Journal of Engineering Education Transformations. https://doi.org/10.16920/jeet/2023/v36is2/23026

Nilimaa, J. (2023). New Examination Approach for Real-World Creativity and Problem-Solving Skills in Mathematics. Trends in Higher Education. https://doi.org/10.3390/higheredu2030028

Noura, K., Pradana, K., & Syazali, M. (2025). Teaching and learning mathematics with problem solving approach: Learning activities and instructional practice. Desimal: Jurnal Matematika. https://doi.org/10.24042/djm.v8i1.26004

Nurlaily, V. A., Soegiyanto, H., & Usodo, B. (2019). Elementary School Teacher’s Obstacles In The Implementation Of Problem-Based Learning Model In Mathematics Learning. Journal on Mathematics Education. https://doi.org/10.22342/jme.10.2.5386.229-238

Olivares, D., Lupiáñez, J., & Segovia, I. (2020). Roles and characteristics of problem solving in the mathematics curriculum: a review. International Journal of Mathematical Education in Science and Technology, 52, 1079–1096. https://doi.org/10.1080/0020739x.2020.1738579

Özreçberoğlu, N., & Çağanağa, Ç. K. (2018). Making it count: Strategies for improving problem-solving skills in mathematics for students and teachers’ classroom management. Eurasia Journal of Mathematics, Science and Technology Education, 14, 1253–1261. https://doi.org/10.29333/ejmste/82536

Powell, S., & Fuchs, L. (2018). Effective Word-Problem Instruction: Using Schemas to Facilitate Mathematical Reasoning. Teaching Exceptional Children, 51, 31–42. https://doi.org/10.1177/0040059918777250

Rittle-Johnson, B., & Schneider, M. (2015). Developing Conceptual and Procedural Knowledge of Mathematics. https://doi.org/10.1093/oxfordhb/9780199642342.013.014

Rittle-Johnson, B., Siegler, R., & Alibali, M. (2001). Developing Conceptual Understanding and Procedural Skill in Mathematics: An Iterative Process. Journal of Educational Psychology, 93, 346–362. https://doi.org/10.1037/0022-0663.93.2.346

Rochaminah, S., Wahyono, U., Nursupiamin, N., & Badjeber, R. (2025). Conceptual and Procedural Knowledge of Prospective Mathematics Teacher in Solving Derivative Problems. Jurnal Pendidikan MIPA. https://doi.org/10.23960/jpmipa.v26i1.pp105-117

Saadati, F., Cerda, G., Giaconi, V., Reyes, C., & Felmer, P. (2019). Modeling Chilean Mathematics Teachers’ Instructional Beliefs on Problem Solving Practices. International Journal of Science and Mathematics Education, 17, 1009–1029. https://doi.org/10.1007/s10763-018-9897-8

Santos-Trigo, M. (2024). Problem solving in mathematics education: tracing its foundations and current research-practice trends. ZDM – Mathematics Education, 56, 211–222. https://doi.org/10.1007/s11858-024-01578-8

Scheibling-Sève, C., Pasquinelli, E., & Sander, E. (2020). Assessing conceptual knowledge through solving arithmetic word problems. Educational Studies in Mathematics, 103, 293–311. https://doi.org/10.1007/s10649-020-09938-3

Schoenfeld, A. (2009). Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint). Journal of Education, 196, 1–38. https://doi.org/10.1177/002205741619600202

Shah, M. N., & Ayaz, M. (2025). To Determine The Effect Of Polya’s Teaching Method On Students’ Academic Achievement In The Subject Of Mathematics At Secondary School Level. Qualitative Research Journal for Social Studies. https://doi.org/10.63878/qrjs97

Siregar, N., Junaedi, I., & Mulyono, M. (2025). Analisis Pemecahan Masalah Pada Kurikulum Matematika Sekolah di Singapore dan Indonesia. Jurnal Karya Pendidikan Matematika. https://doi.org/10.26714/jkpm.12.1.2025.47-54

Siswono, T., Hartono, S., Kohar, A., Karim, & Kurniawan. (2019). Instrumentalist Teachers’ Beliefs in Practicing Mathematical Problem Solving. Universal Journal of Educational Research, 7, 2851–2856. https://doi.org/10.13189/ujer.2019.071236

Siswono, T., Kohar, A., & Hartono, S. (2019). Beliefs, knowledge, teaching practice: three factors affecting the quality of teacher’s mathematical problem-solving. Journal of Physics: Conference Series, 1317. https://doi.org/10.1088/1742-6596/1317/1/012127

Siswono, T., Kohar, A., Kurniasari, I., & Astuti, Y. (2016). An Investigation of Secondary Teachers’ Understanding and Belief on Mathematical Problem Solving. Journal of Physics: Conference Series, 693. https://doi.org/10.1088/1742-6596/693/1/012015

Stetson-Tiligadas, S. (2018). Designing for Active Learning: A Problem-Centered Approach. https://doi.org/10.1108/978-1-78714-487-320181003

Stipek, D., Givvin, K., Salmon, J., & MacGyvers, V. (2001). Teachers’ beliefs and practices related to mathematics instruction. Teaching and Teacher Education, 17, 213–226. https://doi.org/10.1016/s0742-051x(00)00052-4

Sufriadi, D., Nay, F. A., & Ghazanfar, S. (2025). Development of a Real-World Problem-Based Mathematics Module to Enhance Mathematical Modeling Skills. International Journal of Science and Mathematics Education. https://doi.org/10.62951/ijsme.v2i1.260

Syahfitri, N., & Wandini, R. R. (2023). Penerapan Teori Polya Dalam Menyelesaikan Masalah Matematika di SD /MI. Konstanta : Jurnal Matematika Dan Ilmu Pengetahuan Alam. https://doi.org/10.59581/konstanta.v1i1.2361

Szabo, Z., Körtesi, P., Guncaga, J., Szabo, D., & Neag, R. (2020). Examples of Problem-Solving Strategies in Mathematics Education Supporting the Sustainability of 21st-Century Skills. Sustainability, 12, 10113. https://doi.org/10.3390/su122310113

Törner, G., & Pehkonen, E. (1996). Mathematical beliefs and their meaning for the teaching and learning of mathematics. 28, 101–108. https://consensus.app/papers/mathematical-beliefs-and-their-meaning-for-the-teaching-trner-pehkonen/fa7a5fd147f25cbbbe3599adfce34d6f/

Triana, R., Jamilatus, T., & Nikmaturrohmah, P. (2021). Profile of Students’ Problem-Solving Skills Viewed from Polya’s Four-Steps Approach and Elementary School Students. European Journal of Educational Research. https://doi.org/10.12973/eu-jer.10.4.1625

Wilkie, K. (2025). ‘Things haven’t gone the way I thought they’d go’: secondary mathematics teachers talk about trialling a problem-solving pedagogy. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-025-09709-y

Author Biographies

Ratna Kumala, Faculty of Education, Universiti Teknologi MARA, Malaysia

Author Origin : Indonesia

Rahmawati Rahmawati, Universiti Teknologi MARA

Author Origin : Malaysia

Muh. Masri Sari, Pradita University

Author Origin : Indonesia

Downloads

Download data is not yet available.

How to Cite

Kumala, R., Rahmawati, R., & Sari, M. M. (2026). Mathematics Teachers’ Perception in Using Mathematical Problem-Solving as a Teaching Method for Form 1 of Secondary School. Mandalika Mathematics and Educations Journal, 8(3), 2540–2554. https://doi.org/10.29303/jm.v8i3.12486