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All Journal Pedagogi: Jurnal Ilmu Pendidikan Jurnal Infinity Kreano, Jurnal Matematika Kreatif-Inovatif International Journal of Education AKSIOMA: Jurnal Program Studi Pendidikan Matematika Madrasah: Jurnal Pendidikan dan Pembelajaran Dasar Jurnal Elemen Jurnal Kajian Pembelajaran Matematika Metathesis: Journal of English Language, Literature, and Teaching Jurnal Penelitian Pendidikan IPA (JPPIPA) JMPM: Jurnal Matematika dan Pendidikan Matematika JPM (Jurnal Pemberdayaan Masyarakat) INSPIRAMATIKA Unisda Journal of Mathematics and Computer Science (UJMC) Jurnal Tadris Matematika JURNAL EKSAKTA PENDIDIKAN (JEP) Jurnal Cendekia : Jurnal Pendidikan Matematika International Journal of Elementary Education Jurnal Pendidikan Matematika (Jupitek) M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika de Fermat : Jurnal Pendidikan Matematika Abdimas Universal Hipotenusa : Journal of Mathematical Society Jurnal Pedagogi dan Pembelajaran Nusantara Science and Technology Proceedings Hipotenusa: Journal of Research Mathematics Education (HJRME) Rainstek : Jurnal Terapan Sains dan Teknologi Jurnal Penelitian Pendidikan Matematika Edusentris: Jurnal Ilmu Pendidikan dan Pengajaran Unnes Journal of Mathematics Education Jurnal Pengabdian Masyarakat: BAKTI KITA J-ABDIPAMAS (Jurnal Pengabdian Kepada Masyarakat) Journal of Mathematical Pedagogy (JOMP) Jurnal Infinity Jurnal Tadris Matematika Jurnal Pendidikan Progresif
Ali Shodikin
Universitas Negeri Surabaya
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Students’ Abductive Reasoning in Solving Quadratic Pattern Generalization Problem Based on the Initial Mathematical Ability Nabilah, Istianatun; Ali Shodikin
Journal of Mathematical Pedagogy (JoMP) Vol. 6 No. 2: July 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jomp.v6n2.p72-93

Abstract

The purpose of this study was to describe students' abductive reasoning in solving quadratic pattern generalization problem based on initial mathematical ability. Abductive reasoning is a process of drawing conclusions based on certain facts where the conclusion is still an assumption that can be revised based on new information. This type of research is descriptive research with a qualitative approach. The subjects of this study were 6 junior high school students based on the category of students' initial mathematical ability, namely 2 students with high initial mathematical ability, 2 students with moderate initial mathematical ability, and 2 students with low initial mathematical ability. The data collection technique was carried out through an initial mathematical ability test to determine the research subjects, generalization problems of quadratic patterns to identify students' abductive reasoning processes, and interviews. Data analysis was carried out based on the process and indicators of abductive reasoning. The results of the study showed that in the process of (1) realizing the existence of abductive problems, all subjects had never solved generalization problems of quadratic patterns so that the problem became a surprise because it was something new that was obtained, all subjects also found differences in generalization problems of quadratic patterns with number pattern problems that had been encountered before, all subjects carried out this process as an initial process of abductive reasoning; (2) identifying solutions, all subjects explained the discrepancy between the information obtained from the facts of observations and previous knowledge, namely students with high and moderate initial mathematical abilities explained the difference in the given generalization questions on quadratic patterns only presenting the 4th pattern, while the number pattern questions that have been encountered usually contain patterns 1 to 4 in sequence, students with low initial mathematical abilities explained the difference lies in the process of working on it; all subjects mentioned alternative solution guesses that might help to solve the problem, namely all subjects made guesses about different pattern shapes and determined the fixed difference in the number of black circles in each pattern; students with high initial mathematical abilities grouped the black circles into three shapes, using the quadratic formula, the first and second level arithmetic sequence formulas, and obtained two alternative solutions; students with moderate initial mathematical abilities used the first level arithmetic sequence formula and obtained one alternative solution; while students with low initial mathematical abilities did not get an alternative solution; (3) choosing the best solution, students with high and medium initial mathematical ability choose a certain solution from the alternative solutions provided and explain the reasons for choosing this solution as the best solution, while students with low initial mathematical ability do not; students with high initial mathematical ability choose one formula from two formulas obtained because this formula is easier; students with low initial mathematical ability only get one formula and choose this formula because it is easy to use (4) assimilating the chosen solution, students with high and medium initial mathematical ability use the chosen solution to solve the problem, while students with low initial mathematical ability do not; the solution used by students with high initial mathematical ability produces the correct answer, while the solution used by students with medium initial mathematical ability can be the right solution if it is adjusted to the estimated pattern shape that has been made. Keywords: abductive reasoning, initial mathematical ability, pattern generalization, quadratic pattern generalization problem.
ANALISIS KESALAHAN SISWA SMP DALAM MEMBUAT PEMODELAN MATEMATIKA Fiyah, Mas; Shodikin, Ali
Jurnal Pendidikan Matematika (JUPITEK) Vol 4 No 1 (2021): Jurnal Pendidikan Matematika (JUPITEK)
Publisher : Program Studi Pendidikan Matematika FKIP Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/jupitekvol4iss1pp1-6

Abstract

Pemodelan merupakan tahap penting dalam penyelesaian masalah matematika, terutama pada jenis soal cerita. Namun demikian, proses pemodelan seringkali menjadi masalah utama bagi siswa. Tujuan penelitian adalah untuk mendeskripsikan kesalahan siswa SMP dalam membuat pemodelan matematika dan faktor yang menyebabkan terjadinya kesalahan tersebut. Penelitian ini adalah penelitian kualitatif dengan menggunakan pendekatan deskriptif pada siswa kelas VIII SMP Negeri 2 Modo, Lamongan pada semester Ganjil Tahun Ajaran 2020/2021. Teknik pengumpulan data yang dilakukan berupa tes dan wawancara. Hasil penelitian ini menunjukkan bahwa kesalahan yang terjadi adalah siswa tidak dapat mengidentifikasi variabel-variabel soal, membuat asumsi yang salah, dan membentuk persamaan yang tidak mewakili masalah. Penyebab internal kesalahan tersebut adalah tidak memahami komponen-komponen masalah, menggunakan nalar atau insting sendiri dalam menyelesaikan soal cerita, tidak memperhatikan keterkaitan antar komponen masalah. Sedangkan faktor eksternalnya adalah tingkat kesulitan soal yang diberikan cukup tinggi dan kurangnya sumber referensi yang memadai
MATHEMATICS CONNECTION ABILITY FOR JUNIOR HIGH SCHOOL STUDENTS BASED ON LEARNING INDEPENDENCE LEVEL Samudro, Galleh Dwi; Shodikin, Ali
Jurnal Pendidikan Matematika (JUPITEK) Vol 5 No 1 (2022): Jurnal Pendidikan Matematika (JUPITEK)
Publisher : Program Studi Pendidikan Matematika FKIP Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/jupitekvol5iss1pp14-22

Abstract

Mathematical connection ability is one of the basic mathematics skills that must be possessed by junior high school students. It turns out that so far, the student's learning outcomes in terms of mathematics have not been encouraging. This study aims to describe the mathematical connection skills of junior high school students in solving a problem in terms of learning independence. This research is a qualitative descriptive study on eighth-grade students in a junior high school in Lamongan district, East Java. Data was collectied using test questions, interviews, and questionnaires. This study obtained the following results: 1) one subject (S2) who has high mathematical connection ability with low learning independence, 2) one subject (S1) who has moderate mathematical connection ability with moderately high learning independence, and 3) two subjects (S3 & S4) who have low mathematical connection skills with low learning independence. The internal causes of the lack of mathematical connection skills and student learning independence are the lack of practice questions, the lack of motivational stimulus to encourage students to study independently. While external factors are the level of test questions that are tested too difficult and the lack of supporting learning information sources
The Effect of Dynamic Geometry Software-Based Interactive Media with the RME Approach in Improving Critical Thinking on the Rotation Topic Ramidha, Nur Fitriani; Shodikin, Ali; Abdullah, Abdul Halim
Jurnal Pendidikan Progresif Vol 15, No 3 (2025): Jurnal Pendidikan Progresif
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpp.v15i3.pp1640-1652

Abstract

The Effect of Interactive Media Based on Dynamic Geometry Software with the RME Approach on Improving Critical Thinking in Rotation Material. Objectives: The goal of this research is to examine the effect of using interactive media on Dynamic Geometry Software (DGS), like GeoGebra, along with the Realistic Mathematics Education (RME) technique in improving students’ critical thinking on the topic of rotation in geometry. Methods: The study used both a quantitative approach and a quasi-experimental approach. There were 38 students from SMA Negeri 1 Olahraga Sidoarjo in East Java who took part in this study. The experimental class and the control class consist of 19 students each. The experimental group learned with GeoGebra-based interactive media and the RME method, while the control group learned more traditionally without technology and the RME method. A set of validated test questions was administered before and after the intervention to measure students’ critical thinking skills. Results: There was a significant difference between the two groups’ critical thinking skills. Students in the experimental class were much better at understanding, evaluating, and thinking about geometric rotation problems than students in the control class. Combining GeoGebra and RME helped students understand how rotation works in real life and made them more interested, active, and better at understanding, exploring, and using it in a meaningful way. Conclusion: The RME method and GeoGebra helped students think critically about geometry, especially rotation. These results support the idea that using technology in a way that makes learning mathematics more meaningful, like RME, can help students think more deeply. Teachers should think about using these kinds of strategies to help their students learn mathematics better. Keywords: critical thinking, geogebra, quasi-experimental, RME, rotation.
Co-Authors Abdullah, Abdul Halim Abdur Rohim Adinda Aulia Rahmawati AGUNG LUKITO Ali muhajir, Ali Alvenna Nursyafira Anik Novianti Anik Novianti, Anik Anisa Firdaus Asmana, Arezqi Tunggal Ayu Lestari Brigita Febi Valensiana Didan Rizky Adha Didan Rizky Adha Ekawati, Dea Wulan Erieza Dwi Pratiwi Erina Ellen Rusmana Faizah, Siti Febriani, Indri Rohmatul Fakhri Fernanda, Betita Nadia Fiyah, Mas Galleh Dwi Samudro Gita Ainul Hidayah Hendrik Furqon Hendrik Furqon Heny Ekawati Haryono Hidayatul Maratin Holyness Nurdin Singadimedja Ida Ayu Putu Sri Widnyani Ihsani, Ulynnuha Aulia Imam Rofiki Imro’atus Solikha Intan Sari Rufiana Janet Trineke Manoy Khafidhoh Nurul Aini Khusnah, Khotimatul Kusnul Khotimah MASRIYAH Mohammad Nurwahid Mohammad Yusuf Randy Mudhiah, Siti Mustofah Mustofah Nabilah, Istianatun Nadifah, Lailatul Nazilatun Ni'mah Niawati, Zulin Nindya Tifa Novitasari Novandi Kevin Pratama Novandi Kevin Pratama Nugroho, Setiaji Nugroho, Setiaji Nur Imro’atus Solikha Nur Imro’atus Solikha Nurkumala, Silvia Eka Nurzatulshima Kamaruddin Pratama, Novandi Kevin Putri Dian Shafira Rahaju, Endah Budi Rahayu, Tri Retno Ramidha, Nur Fitriani Rika Nur Safitri Riska Fatikkatin Riyantoko, Prismahardi Aji Ri’ayatul Khoiriyah Rooselyna Ekawati Samudro, Galleh Dwi Sa’abdillah Abas Setiaji Nugroho Siti Amiroch, Siti Siti Daiyatul Hamidah Siti Faizah Siti Mudhiah Siti Nur Millah Slamet Arifin Solikha, Nur Imro’atus Sri Rahayuningsih Susanah Susanah Sutardi Sutardi Tatik Retno Murniasih Tatik Tatik Tri Ratna Rahayu Valensiana, Brigita Febi Wahyu Kyestiati Sumarno Wahyu Kyestiati Sumarno Wahyu Kyestiati Sumarno, Wahyu Kyestiati Wulandari, Hilaria Yesieka Ayu Yunis Setiyowati Yurizka Melia Sari