# HOW ARE STUDENTS' CREATIVE REASONING ABILITIES IN SOLVING STRAIGHT-LINE EQUATION PROBLEMS?

## Main Article Content

## Abstract

Creative reasoning is a person's ability to solve mathematical problems in a manner of thinking that deviates from the norm, yet remains logical and grounded in a strong mathematical foundation. While crucial for students, many have not yet attained proficiency in creative reasoning, necessitating comprehensive research on the subject. This study aims to elucidate students' creative reasoning abilities in tackling straight-line equation problems, focusing on indicators such as creativity, plausibility, and anchoring. Employing a qualitative approach with a case study design, the research involved three students from Madrasah Tsanawiyah who had studied straight-line equations. The primary instrument was the researcher, supported by a creative reasoning ability description test and interviews. Data collection utilized triangulation techniques, encompassing tests and interviews. Analysis of the research findings entailed describing students' creative mathematical reasoning abilities for each creative reasoning indicator in straight-line equation material. Results indicated that while students could provide correct and reasonable arguments in solving mathematical problems, they struggled to devise alternative methods and employ strategies based on mathematical concepts. Consequently, they only met the plausibility criterion, falling short in creativity and anchoring. Thus, it can be concluded that students have not yet achieved creative reasoning proficiency in solving straight-line equation problems.

## Article Details

How to Cite

*Kalamatika: Jurnal Pendidikan Matematika*,

*9*(1), 65-82. https://doi.org/10.22236/KALAMATIKA.vol9no1.2024pp65-82

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Article

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## References

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Barnes, A. (2021). Enjoyment in learning mathematics: Its role as a potential barrier to children’s perseverance in mathematical reasoning. Educational Studies in Mathematics, 106(1), 45–63.

BSKAP. (2022). Capaian Pembelajaran pada Pendidikan Anak Usia Dini, Jenjang Pendidikan Dasar, dan Jenjang Pendidikan Menengah Pada Kurikulum Merdeka.

Dewi, A. K., Masfingatin, T., & Lusiana, R. (2022, August). Kemampuan penalaran kreatif matematis siswa dalam penyelesaian soal tipe PISA. In Seminar Nasional Sosial, Sains, Pendidikan, Humaniora (SENASSDRA) (Vol. 1, No. 1, pp. 891-900).

Dwirahayu, G., Mas’Ud, A., Satriawati, G., Atiqoh, K. S. N., & Dewi, S. (2021). Improving students’ mathematical creative reasoning on polyhedron through concept-based inquiry model. Journal of Physics: Conference Series, 1836(1), 012073.

Fatimah, A. T., Pramuditya, S. A., & Wahyudin, W. (2019, February). Imitative and creative reasoning for mathematical problem solving (in context horticultural agribusiness). In Journal of Physics: Conference Series (Vol. 1157, No. 4, p. 042092). IOP Publishing.

Granberg, C., & Olsson, J. (2015). ICT-supported problem solving and collaborative creative reasoning: Exploring linear functions using dynamic mathematics software. The Journal of Mathematical Behavior, 37, 48-62.

Hansen, E. K. S. (2022). Students’ agency, creative reasoning, and collaboration in mathematical problem-solving. Mathematics Education Research Journal, 34(4), 813–834.

Herman, T. (2018). Analysis of students’ mathematical reasoning. Journal of Physics: Conference Series, 948(1), 012036.

Hershkowitz, R., Tabach, M., & Dreyfus, T. (2017). Creative reasoning and shifts of knowledge in the mathematics classroom. ZDM, 49, 25-36.

Hidayat, W., & Prabawanto, S. (2018). Improving students’ creative mathematical reasoning ability students through adversity quotient and argument driven inquiry learning. Journal of Physics: Conference Series, 948(1), 012005.

Hjelte, A., Schindler, M., & Nilsson, P. (2020). Kinds of mathematical reasoning addressed in empirical research in mathematics education: A systematic review. Education Sciences, 10(10), 289.

Jeannotte, D., & Kieran, C. (2017). A conceptual model of mathematical reasoning for school mathematics. Educational Studies in mathematics, 96, 1-16.

Jonsson, B., Norqvist, M., Liljekvist, Y., & Lithner, J. (2014). Learning mathematics through algorithmic and creative reasoning. The Journal of Mathematical Behavior, 36, 20-32.

Kusaeri, K., Arrifadah, Y., & Asmiyah, S. (2022). Enhancing creative reasoning through mathematical task: The quest for an ideal design. International Journal of Evaluation and Research in Education (IJERE), 11(2), 482–490.

Lithner, J. (2006). A framework for analysing creative and imitative mathematical reasoning.

Lithner, J. (2008). A research framework for creative and imitative reasoning. Educational Studies in Mathematics, 67, 255–276.

Lithner, J. (2015). Learning mathematics by creative or imitative reasoning. Selected Regular Lectures from the 12th International Congress on Mathematical Education, 487–506.

Marasabessy, R. (2021). Study of mathematical reasoning ability for mathematics learning in schools: A literature review. Indonesian Journal of Teaching in Science, 1(2), 79-90.

Masfingatin, T., Murtafiah, W., & Maharani, S. (2020). Exploration of creative mathematical reasoning in solving geometric problems. Jurnal Pendidikan Matematika, 14(2), 155–168.

NCTM. (2000). Standards for School Mathematics. In Counc. Teach. Math. Reston VA.

OECD. (2023). PISA 2022 Assessment and Analytical Framework. OECD. https://doi.org/10.1787/dfe0bf9c-en

Ridwan, M. (2017). Profil kemampuan penalaran matematis siswa ditinjau dari gaya belajar. Kalamatika: Jurnal Pendidikan Matematika, 2(2), 193–206.

Rohati, R., Kusumah, Y. S., & Kusnandi, K. (2023). Exploring Students’ Mathematical Reasoning Behavior in Junior High Schools: A Grounded Theory. Education Sciences, 13(3), 252.

Waluyo, S., Armanto, D., & Mansyur, A. (2021). Analysis of Mathematic Reasoning Ability and Self-Confidence Students Using Models PBL Reviewed from Intelligence Intrapersonal in SMPN 5 Youth Vocationality. Journal of Education and Practice, 12(16).