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All Journal Jurnal Pendidikan Matematika dan IPA Differential: Journal on Mathematics Education
Rizki, Raihan Ahmil
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Agriculture, Biological Sciences & Forestry Chemistry Education Mathematics Physics

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KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA SMP PADA MATERI PERSEGIPANJANG BERDASARKAN KELOMPOK GAYA KOGNITIf FIELD INDEPENDENT Rizki, Raihan Ahmil; Sudihartinih, Eyus; Prabawanto, Sufyani
Differential: Journal on Mathematics Education Vol. 1 No. 1 (2023): Differential: Journal on Mathematics Education
Publisher : Universitas Muhammadiyah Palembang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32502/differential.v1i1.89

Abstract

Tujuan penelitian ini yaitu untuk mendeskripsikan kemampuan pemecahan masalah matematis siswa SMP pada materi persegipanjang berdasarkan kelompok gaya kognitif Field Independent (FI). Penelitian ini adalah penelitian kualitatif dengan desain penelitian studi kasus yang melibatkan dua siswa kelas VIII SMP Negeri di Kota Bandung. Banyaknya partisipan pada penelitian ini yaitu 29 orang yang diambil dua siswa FI. Instrumen yang digunakan pada penelitian ini yaitu Instrumen Group Embedded Figure Test, tes kemampuan pemecahan masalah siswa pada materi persegipanjang dan wawancara. Kemampuan pemecahan masalah matematis dianalisis menggunakan Teori Polya. Pada langkah memahami masalah, siswa dengan gaya kognitif FI cenderung lebih dapat memahami masalah secara rinci atau secara analitik. Pada langkah merencanakan penyelesaian, siswa FI dapat dengan baik menyusun strategi penyelesaian permasalahan. Pada langkah melaksanakan rencana, siswa FI dapat melaksanakan perencanaan yang dimiliki dengan perhitungan yang sesuai dengan rencana. Pada langkah memverifikasi jawaban, siswa FI cenderung dapat membuktikan jawaban yang didapatkan baik dalam rencana maupun perhitungan yang dibuat, bahkan siswa FI dapat menguji kembali jawaban yang didapatkan dengan menggunakan langkah lain.
A CASE STUDY OF FIELD-DEPENDENT JUNIOR HIGH SCHOOL STUDENTS' PROBLEM SOLVING ON RECTANGLES BASED ON POLYA'S STEPS Rizki, Raihan Ahmil; Dahlan, Jarnawi Afgani; Sudihartinih, Eyus; Kusumah, Yaya Sukjaya; Setia Gunawan, Sanie Rachma
Jurnal Pendidikan Matematika dan IPA Vol. 17 No. 3 (2026): September 2026
Publisher : Universitas Tanjungpura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26418/jpmipa.v17i3.103820

Abstract

This study aims to describe the problem-solving processes of junior high school students with a Field Dependent (FD) cognitive style when solving geometry problems on rectangles, examined through Polya's four stages: understanding the problem, devising a plan, carrying out the plan, and looking back. A qualitative case study design was employed, focusing on two FD students as a bounded case. The Group Embedded Figure Test (GEFT) was used to screen students and identify FD cognitive styles for case selection, while a mathematical problem-solving ability test and interviews served as the primary means of examining the two cases in depth. The findings indicate that, at the stage of understanding the problem, FD students tend to grasp the problem globally and rarely translate the given information into mathematical formulas, symbols, or concise representations. In devising a plan, they experience difficulty formulating an appropriate strategy and rely heavily on teacher guidance. When carrying out the plan, they tend to make errors in substituting data and performing calculations, which leads to inaccurate final answers. At the looking backstage, they seldom review their work thoroughly and tend to feel satisfied with their answers even when these are incorrect. These findings suggest that FD students require targeted instructional support that fosters independent thinking and helps them translate contextual problems into mathematical representations, thereby strengthening their problem-solving processes in geometry.
Co-Authors Eyus Sudihartinih Jarnawi Afgani Dahlan Setia Gunawan, Sanie Rachma Sufyani Prabawanto, Sufyani Yaya S. Kusumah