Creative Performance Self-Efficacy and Mathematical Problem-Solving: Analyzing Students' Strategies in Number Patterns

Okta Fidyani, Sri Winarni, Marlina Marlina, Rohati Rohati, Ade Kumalasari

Abstract


Learning mathematics is important for developing critical thinking and problem-solving skills. However, improving students' creativity and self-confidence is still a major concern, especially in solving complex mathematical problems. This study analyzes the relationship between Creative Performance Self-Efficacy (CPSE) and mathematical problem-solving ability on number pattern material. The research method used is descriptive qualitative, with participants of grade VIII students of Jambi City 1 Junior High Schools selected based on high and low CPSE categories. Data was collected through CPSE questionnaires, problem-solving tests, and semi-structured interviews. The study showed that CPSE is not always directly proportional to mathematical problem-solving ability. Students with high CPSE do not always perform better than those with low CPSE. Some students with low CPSE can develop more systematic and practical problem-solving strategies. In contrast, students with high CPSE have difficulty understanding problems and executing the right solutions. Factors such as conceptual understanding, accuracy, and learning experience also influence problem-solving success. The conclusion of this study confirms that a learning approach that only focuses on improving CPSE is not practical enough without strengthening conceptual understanding and problem-solving strategies. Therefore, a scaffolding-based learning approach, problem-based learning (PBL), and differentiated instruction are needed to accommodate the needs of students with different CPSE profiles. In addition, metacognitive strategies such as self-evaluation, error-based learning to identify errors, and reflective discussions to evaluate solutions are also essential to implement.  

 

Keywords: creative performance self-efficacy, mathematical problem-solving, students’ strategies, number patterns.

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References


Abbott, D. H. (2010). Constructing a creative self-efficacy inventory : a mixed methods inquiry [University of Nebraska].

Agbata, B. C., Obeng–Denteh, W., Kwabi, P. A., Abraham, S. A., Okpako, S. O., Arivi, S. S., Asante-Mensa, F., & Adu, G. W. K. (2024). Everyday uses of mathematics and the roles of a mathematics teacher. Science World Journal, 19(3), 819–827.

Alzahrani, T. A., & Alqudah, M. F. (2022). Creative self-efficacy and its relationship to mental motivation among outstanding students at king saud university. Creativity and Innovation, 12(23).

Andrini, V. S. (2024). Improving self-efficacy and problem solving ability of prospective mathematics teachers through hypermedia augmented reality. Edutec, 7(4), 323–331.

Ariza, K. P., & Sánchez, J. E. H. (2015). The comprehension when solving mathematical problems: a present glance. Edición, 14(4), 16–29.

Aulia, A., Marjohan, M., & Rakimahwati, R. (2019). The contribution of learning motivation and self-confidence towards the resolution of students’learning problems. Jurnal Aplikasi IPTEK Indonesia, 3(3), 148–155.

Azwar, S. (2015). Penyusunan skala psikologi. Pustaka Pelajar.

Bradshaw, C., Atkinson, S., & Doody, O. (2017). Employing a qualitative description approach in health care research. Global Qualitative Nursing Research, 4, 1–8.

Catarino, P., Vasco, P., Lopes, J., Silva, H., & Morais, E. (2019). Cooperative learning on promoting creative thinking and mathematical creativity in higher education. Revista Iberoamericana Sobre Calidad, Eficacia YCambio En Educación, 17(3), 5–22.

Çelik, H. C., Özdemir, F., & Bindak, R. (2024). The effect of problem posing attitude on problem solving attitude: the mediating role of mathematical self-efficacy. International Journal of Educational Spectrum.

Fung, D., To, H., & Leung, K. (2016). The influence of collaborative group work on students’ development of critical thinking: the teacher’s role in facilitating group discussions. Pedagogies: An International Journal, 11(2), 146–166.

Gunawan, G. R., Kartono, K., Wardono, W., & Kharisudin, I. (2022). Analysis of mathematical creative thinking skill: in terms of self confidence. International Journal of Instruction, 15(4), 1011–1034.

Harris, M. M. (2019). Why we teach mathematics to every student: determining impact of mathematics on problem solving and logical reasoning skills.

Hendriana, H., Johanto, T., & Sumarmo, U. (2018). The role of problem-based learning to improve students’ mathematical problem-solving ability and self confidence. Journal on Mathematics Education, 9(2), 291–300.

Herianto, H., Sofroniou, A., Fitrah, M., Rosana, D., Setiawan, C., Rosnawati, R., Widihastuti, W., Jusmiana, A., & Marinding, Y. (2024). Quantifying the relationship between self-efficacy and mathematical creativity: a meta-analysis. Education Sciences, 14(11), 1251.

Hung, S. (2018). Title: validating the creative self-efficacy student scale with a taiwanese sample: an item response theory-based investigation. Thinking Skills and Creativity, 27, 190–203.

Irhamna, I., Amry, Z., & Syahputra, H. (2020). Contribution of mathematical anxiety, learning motivation and self-confidence to student’s mathematical problem solving. Budapest International Research and Critics in Lingiustics and Education, 3(4), 1759–1772.

Jaenudin, A. (2023). Factors influencing creative thinking in problem-solving. Asian Journal of Engineering, Social and Health, 2(3), 161–170.

Johnson, K. G., & Galluzzo, B. J. (2014). Effects of directed learning groups upon students’ ability to understand conceptual ideas. The Learning Assistance Review, 19(1), 7–44.

Kerzner, H. (2023). Understanding the problem (pp. 43–54).

Kusuma, A. P., Waluya, S. B., Rochmad, & Mariani, S. (2024). Algebraic thinking profile of pre-service teachers in solving mathematical problems in relation to their self-efficacy. Eurasia Journal of Mathematics, Science and Technology Education, 20(11), 1–15.

Liljedahl, P., Santos-Trigo, M., Malaspina, U., & Bruder, R. (2016). Problem solving in mathematics education. ICME-13 Topical Surveys.

Liu, Y.-L. E., Lee, T.-P., & Huang, Y.-M. (2023). Enhancing university students’ creative confidence, learning motivation, and team creative performance in design thinking using a digital visual collaborative environment. Thinking Skills and Creativity.

Lodge, J. M., & Kennedy, G. (2015). Prior knowledge, confidence and understanding in interactive tutorials and simulations. 190–201.

Luo, Y., & Yu, B. (2020). Research on the teaching of understanding mathematics problems in elementary schools. In In: Zhu, S.C., Xie, S., Ma, Y., McDougall, D. (eds) Reciprocal Learning for Cross-Cultural Mathematics Education . Intercultural Reciprocal Learning in Chinese and Western Education (pp. 201–219). Palgrave Macmillan, Cham.

Mahayani, N. P. L., Astawa, I. W., & Suharta, I. G. P. (2021). Self-regulated learning model affects students’ mathematical conceptual understanding and self-confidence in terms of cognitive styles. Journal of Education Research and Evaluatiaon, 5(1), 1.

McLure, F., Won, M., & Treagust, D. F. (2020). ‘Even though it might take me a while, in the end, I understand it’: a longitudinal case study of interactions between a conceptual change strategy and student motivation, interest and confidence. Disciplinary and Interdisciplinary Science Education Research, 2(1), 1–17.

Moser, A., & Korstjens, I. (2017). Series: practical guidance to qualitative research. part 3: sampling, data collection and analysis. European Journal of General Practice, 24(1), 9–18.

Navyola, V. (2022). Literature review: self regulated learning dalam pembelajaran matematika. J-PiMat : Jurnal Pendidikan Matematika, 4(2), 497–506.

Octariani, D. (2017). Self regulated learning dalam pembelajaran matematika. 2(2).

OECD. (2022). Pisa 2022 Mathematics framework ( draft ). November 2018. https://pisa2022-maths.oecd.org/files/PISA 2022 Mathematics Framework Draft.pdf

Ovat, S. V., Ofem, U. J., Ajuluchukwu, E. N., Asuquo, E. N., Undie, S. B., Amanso, E. O., Ene, E. I., Idung, J. U., Obi, J. J., Elogbo, E. E., Iserom, C. I., Nnaji, E. S., Orji, E. I., & Arikpo, O. J. (2024). Predicting multidimensionality of mathematical creativity among students: Do mathematics self-efficacy, attitude to mathematics and motivation to mathematics matter? Eurasia Journal of Mathematics, Science and Technology Education.

Polya, G. (1973). How to Solve It: a new aspect of mathematical method with a new foreword by John H. Conway. In Discovering Computer Science.

Posamentier, A. S., & Krulik, S. (2015). Problem-Solving Strategies in Mathematics: From Common Approaches to Exemplary Strategies.

Putra, H. D., & Hendriana, H. (2023). The relation between self-confidence and mathematical problem solving ability on islamic junior high school students. Journal of Innovative Mathematics Learning, 6(2), 113–123.

Raslan, G. (2024). The impact of the zone of proximal development concept (scaffolding) on the students problem solving skills and learning outcomes (pp. 59–66).

Rodgers, E. (2022). Scaffolding learning in school settings. Routledge.

Roger, A. C., & Formella, Z. (2016). The concept of creativity: towards an intergrative vision of creativity in the psychoeducational application. Seminare. Poszukiwania Naukowe, 37(4), 97–113.

Samosir, C. M., Herman, T., Prabawanto, S., Melani, R., & Mefiana, S. A. (2024). Students’ difficulty in understanding problems in the contextual problem-solving process. Prisma, 13(1), 20–29.

Saputro, S. D. (2023). Appropriate scaffolding format in physics learning through lesson study on improving students’ problem solving skills. Journal of Education Research and Evaluation, 7(2), 225–233.

Setiawan, H., Hendriana, H., Sabandar, J., & Fitriani, N. (2022). The effect of self confidence on the ability of understanding mathematical concepts of junior high school students on the triangle and quarter matter. Al Khawarizmi: Jurnal Pendidikan Dan Pembelajaran Matematika, 6(1), 13.

Shone, E. T., Weldemeskel, F. M., & Worku, B. N. (2023). The role of students’ mathematics perception and self‐efficacy toward their mathematics achievement. Psychology in the Schools, 61(1), 103–122.

Silva, T. S. C. da, Melo, J. C. B. de, & Tedesco, P. C. A. R. (2020). Creative learning in problem solving and development of computational thinking. Computer Supported Education (CSEDU 2020), 199–215.

Silva, H., Lopes, J., & Dominguez, C. (2018). Enhancing college students’ critical thinking skills in cooperative groups. Tecnology and Innovation in Learning, Teaching and Education (TECH-EDU 2018), 181–192.

Singh, G. (2018). The impact of discussion on teaching-learning process. 2(1).

Subanji, & Nusantara, T. (2022). Mathematical creative model: theory framework and application in mathematics learning activities. In Active Learning - Research and Practice for STEAM and Social Sciences Education of (pp. 1–26).

Szabo, Z. K., Körtesi, P., Gunčaga, J., Szabo, D., & Neag, R. (2020). Examples of problem-solving strategies in mathematics education supporting the sustainability of 21st-century skills. Sustainability, 12(23), 10113.

Tan, M., Mourgues, C., Bolden, D., Grigorenko, E. L., Grigorenko, E. L., & Grigorenko, E. L. (2014). Making numbers come to life: two scoring methods for creativity in aurora’s cartoon numbers. Journal of Creative Behavior, 48(1), 25–43.

Toh, T. L. (2023). A model for scaffolding mathematical problem-solving: From theory to practice. Contemporary Mathematics and Science Education, 4(2), ep23019–ep23019.

Wang, B., Wang, D., Cai, X., Hong, M., Li, Q., Zhu, Z., & Shen, W. (2024). relationship between self-ef?icacy and creativity during the covid19 pandemic: psychological resilience as a mediator. Pakistan Journal of Life and Social Sciences, 22(1).

Ye, J., Gu, J., Zhao, X., Yin, W., & Wang, G. (2024). Assessing the creativity of llms in proposing novel solutions to mathematical problems. computation and language.




DOI: https://doi.org/10.23960/jpmipa.v26i1.pp429-456

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