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All Journal Lemma: Letters of Mathematics Education
Brayen Harly Tilaar
Universitas Negeri Manado
Mathematics

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ANALISIS KESULITAN SISWA DALAM MEMECAHKAN SOAL SISTEM PERSAMAAN LINEAR DUA VARIABEL BERDASARKAN TAHAPAN POLYA PADA SISWA KELAS IX DI SMP KATOLIK GONZAGA TOMOHON Brayen Harly Tilaar; Sylvia J. A. Sumarauw; Murni Sulistyaningsih
JURNAL LEMMA Vol 12, No 2 (2026): Lemma: Letters of Mathematics Education
Publisher : Universitas PGRI Sumatera Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22202/jl.2026.v12i2.11289

Abstract

Difficulties in solving System of Linear Equations in Two Variables (SLETV) remain a persistent challenge for junior high school students. This study investigated where and why those difficulties occur by mapping students' performance against the four stages of Polya's heuristic framework. A qualitative design with a phenomenological approach was adopted to capture the lived experience of 24 ninth-grade students at SMP Katolik Gonzaga Tomohon (odd semester, 2025/2026). Written problem-solving tests, unstructured phenomenological interviews, and classroom observation were employed as data sources; findings were cross-validated through technique and source triangulation as well as member checking. Achievement scores for the four stages were: understanding the problem 63.9% (good), devising a plan 45.8% (sufficient), carrying out the plan 58.3% (sufficient), and looking back 12.5% (very difficult). Two bottlenecks stood out: constructing a correct mathematical model of SLETV and selecting an appropriate solution method at the planning stage, and the near-complete absence of answer verification at the looking-back stage. Phenomenological interviews further revealed that students' obstacles are not confined to cognitive gaps; affective responses such as confusion, self-doubt, and fear of error especially when translating word problems into algebraic form substantially hindered systematic mathematical reasoning.
Co-Authors Sylvia Jane Annatje Sumarauw