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PROPORTIONAL REASONING: INSIGHTS FROM STUDENTS’ EARLY ATTEMPTS AT QUANTIFYING IN SOLVING MATHEMATICAL LITERACY PROBLEMS Nego Linuhung; Purwanto Purwanto; Sukoriyanto Sukoriyanto; Sudirman Sudirman; Mohd Isha Awang
Jurnal Ilmiah Ilmu Terapan Universitas Jambi Vol. 9 No. 2 (2025): Volume 9, Nomor 2, June 2025
Publisher : LPPM Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/jiituj.v9i2.35828

Abstract

This research aims to explore students’ proportional reasoning at the early attempts at quantifying stage when students face proportional situations, especially mathematical literacy problems. This research uses a qualitative research approach involving grade 9 junior high school. Data was collected by providing mathematical literacy problems containing proportional situations and in-depth interviews with research subjects. The research results show that students in the early attempts at quantifying stage begin to identify important variables, recognize regularities, and develop plans to solve problems. Students apply inappropriate addition relationships in proportional situations, add or subtract numbers without understanding the concept of comparison, and have a sense of comparing sizes that are bigger and smaller, but students have limitations in understanding the concept of proportionality, especially in recognizing when comparison should be used, students try to identify comparative patterns, students have difficulty connecting patterns to multiplicative forms; able to conclude, but the conclusions are wrong due to limitations in understanding the concept of proportionality which results in inaccurate results. This study provides a novel contribution by specifically focusing on the “early attempts at quantifying” stage, a crucial yet underexamined phase in proportional reasoning development. The findings fill a gap in understanding how students transition from additive to multiplicative reasoning when faced with real-world mathematical problems. The implication is that assistance is needed in the form of exercises that increase students' understanding and sensitivity to multiplicative situations and relationships between variables in solving mathematical literacy problems.
Miskonsepsi Siswa dalam Menyelesaikan Masalah Pecahan berdasarkan Tingkat Keyakinan Siswa Febyanti, Adinda Isna; Sukoriyanto, Sukoriyanto
Jurnal Tadris Matematika Vol 7 No 2 (2024)
Publisher : Universitas Islam Negeri Sayyid Ali Rahmatullah Tulungagung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21274/jtm.2024.7.2.291-308

Abstract

This study aims to describe students’ misconceptions in solving fraction problems based on their level of belief. The research method employed is qualitative, with a descriptive research approach. Subjects were selected students who experienced misconceptions in solving problems. The results of examining students’ answers showed that out of 27 students, 18 did not know the concept, and 9 had misconceptions. Selected 5 students who experienced misconceptions as subjects to ensure data variation due to similarities in the answers or responses given. The misconceptions made by the subjects include: 1) Generalization misconception occurred because the subjects made mistakes in explaining the meaning of numerator and denominator of fractions and mistakes in applying the concept of addition and substructions of fractions; 2) Calculation misconception occurred because the subject made mistakes in calculating fractions and mistakes in simplifying fractions; 3) Notation misconception occurred because the subject made mistakes in using operation symbols and mistakes in writing numbers; 4) Language misconception occurred because the subject made mistakes in converting information into mathematical language. To overcome this problem, teachers are advised to provide a deeper conceptual understanding and practice problems regularly to improve students' understanding.