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All Journal Jurnal Elemen Jurnal Pendidikan Matematika (Kudus) Range : Jurnal Pendidikan Matematika Seminar Nasional Hasil Penelitian LP2M UNM
Atmaja, Satriya Adika Arif
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Religion Arts Humanities Chemistry Dentistry Economics, Econometrics & Finance Education Energy Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Public Health Social Sciences Other

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Struktur Berpikir Matematis Mahasiswa Calon Guru dalam Menyelesaikan Permasalahan Kontroversial Matematis Atmaja, Satriya Adika Arif; Wardono, Wardono; Susilo, Bambang Eko
Seminar Nasional LP2M UNM SEMINAR NASIONAL 2024 : PROSIDING EDISI 1
Publisher : Seminar Nasional LP2M UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Abstrak. Penelitian terhadap permasalahan kontroversial matematis masih sangat terbatas. Padahal, permasalahan tersebut dapat memicu pengembangan konstruksi berpikir matematis mahasiswa. Penelitian ini bertujuan untuk menganalisis struktur berpikir matematis mahasiswa dalam menyelesaikan permasalahan kontroversial matematis. Metode penelitian yang digunakan adalah kualitatif deskriptif. Subjek penelitian terdiri dari 50 mahasiswa semester 6 tadris matematika (pendidikan matematika) Institut Agama Islam Negeri Kudus. Adapun, instrumen soal penelitian yang dikembangkan peneliti berkenaan dengan skema permasalahan yang menimbulkan berbagai sudut pandang konsep (permasalahan kontroversial matematis) pada materi statistika. Hasil penelitian menunjukkan bahwa struktur berpikir matematis mahasiswa terbagi atas tiga kelompok, yakni kelompok dengan struktur berpikir matematis lengkap, kelompok dengan struktur berpikir matematis semu, dan kelompok dengan struktur berpikir matematis tidak lengkap. Pada kelompok struktur berpikir matematis lengkap ditandai dengan mengenali komponen-komponen permasalahan (kontroversi) secara lengkap, mampu memodifikasi, mengkombinasi, dan mengkonstruksi permasalahan ataupun prosedur untuk menghasilkan beragam alternatif solusi. Sedangkan, kelompok struktur berpikir matematis semu cenderung menganggap rumus pasti benarnya/ sebatas hafalan konsep, tidak memahami permasalahan dan kontroversinya secara utuh. Mereka hanya mampu meniru strategi yang pernah didapatkan sebelumnya. Untuk kelompok dengan struktur berpikir matematis tidak lengkap terindikasi tidak mampu mengenali struktur permasalahan dengan baik. Kata Kunci: Berpikir Matematis Mahasiswa, Pemecahan Masalah, Permasalahan Kontroversial Matematis.
Development Hypothetical Learning Trajectory on Statistics Material in Grade VIII Using Realistic Mathematics Education at the Preliminary Stage with Pranata Mangsa Context Nursyahidah, Farida; Albab, Irkham Ulil; Rubowo, Maya Rini; Tuni’mah, Lattifah; Febriansyah, Muhammad Aldo; Hardiyanto, Dwi; Atmaja, Satriya Adika Arif
Jurnal Pendidikan Matematika Vol 7, No 2 (2024): Jurnal Pendidikan Matematika (Kudus)
Publisher : Institut Agama Islam Negeri (IAIN) Kudus

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21043/jpmk.v7i2.29180

Abstract

Statistics is a staple in the curriculum because it is considered necessary in everyday life. However, students often find statistics challenging. Students' difficulties in learning statistics are caused by several factors, including a lack of understanding of mathematical concepts and principles in solving problems. This study aimed to design and develop a Hypothetical Learning Trajectory (HLT) for grade VIII statistics using the Realistic Mathematics Education (RME) approach, with Pranata Mangsa as the learning context. The method used in this research was validation-type design research. This research produced an HLT of statistics material using pranata mangsa context consisting of 3 activities to help students understand and master the material. The activities of the HLT are 1) collecting, presenting, and analyzing data, 2) measuring centralized data, and 3) measuring data distribution. The results showed an HLT for teaching statistics using RME that can effectively support students of all ability levels. This HLT allows students to rediscover statistics concepts through horizontal and vertical mathematical processes. Finally, the HLT facilitates students to create their models from informal to formal and increases the interaction between students and teachers. Statistika menjadi materi pokok dalam kurikulum karena dianggap penting dalam kehidupan sehari-hari. Namun, pada kenyataannya statistika merupakan salah satu pelajaran yang dianggap sulit bagi siswa. Kesulitan siswa dalam belajar statistika disebabkan oleh beberapa faktor, diantaranya kurangnya pemahaman konsep dan prinsip-prinsip matematika dalam menyelesaikan soal. Tujuan penelitian untuk mendesain dan mengembangkan Hypothetical Learning Trajectory (HLT) menggunakan pendekatan Realistic Mathematics Education (RME) pada materi statistika kelas VIII menggunakan konteks Pranata Mangsa yang menjadi starting point dalam pembelajaran. Metode yang digunakan dalam penelitian ini adalah design research tipe validasi. Penelitian ini menghasilkan HLT materi statistika menggunakan konteks pranata mangsa yang terdiri dari 3 iceberg untuk membantu siswa dalam memahami dan menguasai materi. Adapun iceberg dari HLT tersebut adalah 1) mengumpulkan, menyajikan, dan menganalisi data; 2) ukuran pemusatan data; dan 3) ukuran penyebaran data. Hasil penelitian ini menunjukkan bahwa HLT mampu membantu siswa menemukan kembali konsep statistika melalui proses matematika horizontal dan vertikal. HLT memfasilitasi siswa untuk membuat model mereka sendiri dari informal ke formal dan meningkatkan interaksi antara siswa dan guru.
Transformations of students’ cognitive processes when solving PISA-like problems: A commognitive analysis Atmaja, Satriya Adika Arif; Zaenuri; Isnarto; Dewi (Nino Adhi), Nuriana Rachmani
Jurnal Elemen Vol 12 No 1 (2026): January
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v12i1.30715

Abstract

The mathematical literacy of Indonesian students in PISA 2022 was categorized as low, highlighting the importance of understanding students’ cognitive processes in mathematical problem solving. This study examines transformations in the cognitive processes of a 15-year-old Indonesian student when solving PISA-like problems using Sfard’s commognitive framework. A qualitative approach was employed to capture detailed learning dynamics. The participant was a 15-year-old student from a randomly selected junior high school in Rembang Regency, Central Java Province, Indonesia, purposefully selected based on the mathematics teacher’s nomination for strong mathematical ability and clear evidence of cognitive shifts during problem solving. The tasks were developed by the researcher and adapted to relevant Indonesian contexts. Qualitative data—including written work, observations, and semi-structured interviews—were analyzed using mathematical literacy processes (formulating, employing, interpreting, and evaluating) and mapped onto four commognitive components: Word Use (WU), Visual Mediators (VM), Routines (R), and Narratives (N). Findings show that reflective self-evaluation supports cognitive restructuring, enabling movement from procedural errors toward coherent reasoning through shifts in WU, VM, and R. The study underscores the need for instructional designs that foster meta-level discourse, reflective thinking, and flexible visual re-representation to strengthen students’ mathematical reasoning.
Commognitive Conflict: How do Critical Thinkers Solve Cognitive Conflict Problems in Geometry? Atmaja, Satriya Adika Arif; Zaenuri; Isnarto; Nuriana Rachmani Dewi (Nino Adhi)
RANGE: Jurnal Pendidikan Matematika Vol. 7 No. 2 (2026): Range Januari 2026
Publisher : Pendidikan Matematika UNIMOR

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/jpm.v7i2.9972

Abstract

There has been no research exploring cognitive conflict problems in geometry from commognitive framework. Nevertheless, this framework offers strong potential for gaining new theory about cognitive processes of critical thinkers. This study addresses this gap by exploring in depth how critical thinkers solve cognitive conflict problems in geometry from commognitive framework. Commognitive involves four main components: word use, visual mediators, routines, and narratives. This study employed a qualitative approach to explore the cognitive processes in depth. The instrument used in this study consisted of cognitive conflict problems in geometry designed for junior high school students. The subjects of this study consisted of 17 students from the mathematics olympiad group at Madrasah Tsanawiyah (MTs) Surya Buana Malang, Indonesia. The results revealed two categories: Category A met all critical thinking components and commognitive indicators, whereas Category B met only some. The commognitive conflicts highlighted key moments of cognitive engagement and discourse transformation. These conflicts activated critical thinking components, including interpretation, analysis, evaluation, inference, explanation, and self-regulation. Based on the result, it is recommended that future research explore the development of mathematics instructional designs in cognitive conflict problems based on commognitive framework.
Co-Authors Bambang Eko Susilo Farida Nursyahidah Febriansyah, Muhammad Aldo Hardiyanto, Dwi Irkham Ulil Albab Isnarto Maya Rini Rubowo Nino Adhi, Nuriana Rachmani Dewi Nuriana Rachmani Dewi (Nino Adhi) Tuni’mah, Lattifah Wardono Wardono Zaenuri