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Analysis of Students' Mathematical Abstraction Ability by Using Problem-Based Learning Model Zul Fahmi Siregar; Bornok Sinaga; Pardomuan Sitompul
PARADIKMA: JURNAL PENDIDIKAN MATEMATIKA Vol 16, No 2 (2023): PARADIKMA JURNAL PENDIDIKAN MATEMATIKA (July - December 2023)
Publisher : Study Program of Mathematics Education of Unimed Postgraduate Program

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/paradikma.v16i2.48315

Abstract

This study aims to determine students' mathematical abstraction ability, answer process and difficulties faced by students in solving derivative problems. The subjects in this study were 11th grade students of SMA SWASTA AN - NIZAM Medan who were taught with the application of PBL model and scientific approach. The instrument in this study is a formative test used to see the level of mathematical abstraction ability and the answer process given by students. The difficulties faced by students in the process of solving the problems given can be known through the interview process conducted and documented through cell phones. Of the 19 students who took the math abstraction ability test, 4 students had high category math abstraction ability (21%). 11 students have medium category math abstraction ability (58%), and 4 students have low category math abstraction ability (21%). Of the 4 problems given, for the recognition stage, problem no 1 can be solved by all students. problem no 2 can be solved by 17 students, problem no 3 can be solved by 12 students and problem no 4 can be solved by 8 students. The decline also occurred at the representation and structural abstraction stages. After being analyzed based on the process of answers given by students and the results of interviews conducted, the decline was caused by: 1. the level of difficulty of the problem, 2. learning experience, 3. reasoning power and 4. literacy skills of each different student.. In this research, the media used to help the research process is geogebra. The use of this media is only limited to how to solve the problems given in other ways besides the concepts taught at school.Keywords: Qualitative Research Analysis; Mathematical Abstraction Ability; Problem Based Learning Model
ANALISIS KESALAHAN SISWA DALAM MEMECAHKAN MASALAH MATEMATIS BERDASARKAN PROSEDUR NEWMAN DI KELAS X SMA Shopia Burju Situmorang; Pardomuan Sitompul
Pedagogy: Jurnal Pendidikan Matematika Vol. 9 No. 1 (2024): Pedagogy : Jurnal Pendidikan Matematika
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/pedagogy.v9i1.3785

Abstract

Penelitian ini bertujuan untuk mengetahui tipe-tipe kesalahan yang dilakukan siswa dalam memecahkan masalah matematika berbentuk cerita materi sistem persamaan linear tiga variabel berdasarkan prosedur Newman dan untuk mengetahui hubungan tipe kesalahan dengan hasil tipe siswa tiap kategorinya, serta faktor penyebab terjadinya kesalahan siswa dalam menyelesaikan soal cerita materi sistem persamaan linear tiga variabel berdasarkan prosedur Newman. Subjek dalam penelitian ini adalah 6 subjek yang terdiri dari 2 kelompok atas, 2 kelompok sedang, dan 2 kelompok rendah. Teknik pengumpulan data yang digunakan yaitu tes tertulis, wawancara, dan dokumentasi. Hasil penelitian menunjukkan bahwa: (1) subjek mengalami kesalahan pada masing-masing butir soal dengan berbagai jenis kesalahan yakni kesalahan memahami masalah sebanyak 78 kali dengan persentase 38,24%, kesalahan transformasi masalahan sebanyak 17 kali dengan persentase 8,33%, kesalahan keterampilan proses sebanyak 56 kali dengan 27,45%, dan kesalahan penulisan jawaban akhir sebanyak 53 kali dengan 25,98%. (2) terdapat hubungan antara tipe kesalahan dengan hasil tipe siswa pada kategori tinggi, sedang, dan rendah. (3) beberapa faktor penyebab terjadinya kesalahan yaitu motivasi belajar, model pengajaran guru, kepercayaan diri, waktu yang dihabiskan dalam mengerjakan soal, dan lingkungan belajar.