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ANALISIS KEMAMPUAN NUMBER SENSE SISWA DALAM MENYELESAIKAN MASALAH MATEMATIS Patmaniar; Dinar; Ma’rufi; Ilyas, Muhammad; Alam, Syamsu; Taufiq
HISTOGRAM: Jurnal Pendidikan Matematika Vol. 8 No. 1 (2024): Jurnal Pendidikan Matematika
Publisher : STKIP Andi Matappa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31100/histogram.v8i1.3596

Abstract

Seorang siswa yang berlatih dan belajar matematika melalui algoritma secara teratur bisa mendapatkan nilai tinggi dalam ujian sekolah hingga tingkat tertentu, tetapi kinerja matematika di masa depan tidak hanya bergantung pada perolehan nilai tinggi dalam ujian sekolah. Hal ini sangat bergantung pada kemampuan number sense seseorang. Penelitian ini bertujuan untuk mendeskripsikan kemampuan number sense siswa dalam menyelesaikan masalah matematis. Penelitian ini menggunakan pendekatan kualitatif deskriptif yang dilakukan di SMPN 3 Burau Kabupaten Luwu Timur. Pemilihan subjek penelitian dengan menggunakan teknik purposive sampling. Teknik pengumpulan data dalam penelitian ini adalah tes tertulis, wawancara, dan dokumentasi. Hasil penelitian menunjukkan bahwa: 1) siswa berkemampuan matematika tinggi memenuhi semua indikator number sense pada materi pecahan, 2) siswa dengan kemampuan sedang belum mampu menguasai konsep number sense secara keseluruhan karena hanya memenuhi 4 indikator number sense 3) Siswa dengan kemampuan rendah hanya mampu memenuhi 2 indikator yaitu mengidentifikasi keterurutan dan keteraturan pada sistem bilangan pecahan dan merepresentasikan urutan bilangan. Kata Kunci: kemampuan matematika, number sense, masalah matematis
STUDENTS’ GROWING UNDERSTANDING IN SOLVING MATHEMATICS PROBLEMS BASED ON GENDER: ELABORATING FOLDING BACK Patmaniar; Amin, Siti Maghfirotun; Sulaiman, Raden
Journal on Mathematics Education Vol. 12 No. 3 (2021): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Students’ previous knowledge at a superficial level is reviewed when they solve mathematical problems. This action is imperative to strengthen their knowledge and provide the right information needed to solve the problems. Furthermore, Pirie and Kieren's theory stated that the act of returning to a previous level of understanding is called folding back. Therefore, this descriptive-explorative study examines high school students' levels of knowledge in solving mathematics problems using the folding back method. The sample consists of 33 students classified into male and female groups, each interviewed to determine the results of solving arithmetic problems based on gender. The results showed differences in the level of students' understanding in solving problems. Male students carried out the folding back process at the level of image having, formalizing, and structuring. Their female counterparts conducted it at image-making, property noticing, formalizing, and observing. Subsequently, both participants were able to carry out understanding activities, including explaining information from a mathematical problem, defining the concept, having an overview of a particular topic, identifying similarities and differences, abstracting mathematical concepts, and understanding its ideas in accordance with a given problem. This study suggested that Pirie and Kieren's theory can help teachers detect the features of students’ understanding in solving mathematical problems.