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Examining the Impact of Mathematical Critical Thinking Skills on Matrix Learning Outcomes Majid Majid; Fahri Katuri; Kartin Usman; Syafrudin Katili
AL-ISHLAH: Jurnal Pendidikan Vol 17, No 3 (2025): SEPTEMBER 2025
Publisher : STAI Hubbulwathan Duri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35445/alishlah.v17i3.6702

Abstract

 Student learning outcomes represent their understanding of subject material and serve as a benchmark for evaluating educational effectiveness. A preliminary investigation at SMA Negeri 7 Gorontalo revealed low student performance in matrix-related mathematics topics. Among various factors influencing learning success, critical thinking stands out as a key internal factor in mathematics education. This study employed a quantitative, descriptive-correlational design with an ex post facto approach. It aimed to assess the mathematical critical thinking skills of Grade XI students and to examine their relationship with learning outcomes on matrix material. Critical thinking was evaluated using four indicators: analyzing, evaluating, explaining, and concluding. Findings indicated that most students had not yet achieved an optimal level of mathematical critical thinking, with an average score of 56.34 across a sample of 50 students. Correlational analysis revealed a significant positive relationship between critical thinking skills and learning outcomes, with critical thinking accounting for 61.62% of the variance in performance. The data suggest that mathematical critical thinking skills play a substantial role in determining student success in matrix material. Given the strong correlation observed, enhancing these skills may lead to measurable improvements in learning outcomes. There is a significant and positive relationship between students' mathematical critical thinking skills and their learning outcomes in matrix material. Efforts to strengthen critical thinking could be an effective strategy to improve academic performance in mathematics. 
The Effect of ICARE Learning Model on Junior High School Students' Mathematical Problem-Solving Ability Djailani, Sri Rahmatia S.; Majid; Usman, Kartin
(JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNING Vol. 9 No. 1 (2026): VOLUME 9 NUMBER 1, MARCH 2026
Publisher : IKIP Siliwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/jiml.v9i1.29769

Abstract

The mathematical problem-solving ability of junior high school students is still considered low, as evidenced by the low learning outcomes among seventh-grade students at SMP Negeri 1 Suwawa. To enhance this ability, an innovative learning model is required. One such model is ICARE, which is believed to encourage active student engagement and foster a deeper understanding of mathematical concepts. This study aims to determine the differences between the ICARE learning model and the conventional learning model on the mathematical problem-solving abilities of seventh-grade students at SMP Negeri 1 Suwawa. The research was conducted from May to June during the even semester of the 2024/2025 academic year. The research method employed in this study was an experimental method involving two classes, namely the experimental class and the control class. Simple random sampling was used to select the samples. The research design utilized was a Post-test Only Control Group Design. The data were collected through a written post-test. The results of the study, based on hypothesis testing using a t-test, showed that the obtained tcount​ = 3.050, while the critical ttable = 2.007 at a significance level of 0.05. Since tcount​> ttable the null hypothesis (H₀) was rejected and the alternative hypothesis (H₁) was accepted. Therefore, it can be concluded that the mathematical problem-solving ability of students taught using the ICARE learning model is higher than that of students taught using the conventional learning model.
DESKRIPSI HASIL BELAJAR SISWA DITINJAU DARI KEMAMPUAN PEMECAHAN MASALAH MATEMATIKA Kartin Usman; Ismail Djakaria; Salmiaty Hasan
Jurnal Karya Pendidikan Matematika Vol 8, No 1 (2021): Jurnal Karya Pendidikan Matematika Volume 8 Nomor 1 Tahun 2021
Publisher : Universitas Muhammadiyah Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26714/jkpm.8.1.2021.13-17

Abstract

This study describes students' mathematics learning outcomes in terms of their problem-solving abilities in rectangular material. The research was conducted at SMP Negeri 1 Suwawa in the odd semester of 2019/2020, with 22 students as research subjects. The research instrument used an essay test to measure students 'mathematics learning outcomes and interviews to obtain further information regarding students' mathematics learning outcomes. The indicators used to determine students' mathematics learning outcomes in terms of problem-solving abilities are 1) the ability to understand the problem; 2) the ability to plan problems; 3) problem-solving skills; 4) recheck ability. The results showed that the percentage of completeness of students' mathematics learning outcomes with high problem-solving abilities was 18.18%, the percentage of students' mathematics learning outcomes completeness with moderate problem-solving abilities was 68.18%, and the percentage of students' mathematics learning outcomes completeness with low problem-solving abilities was 68.18%. 13.64%.
Development of GeoGebra-Assisted Learning Media to Improve Students' Mathematical Problem-Solving Skills in Transformational Geometry in Junior High School Majid Majid; Swasti Maharani; Kartin Usman
Jurnal Pendidikan Terapan Vol 4, No 3 July (2026)
Publisher : Sakura Digital Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61255/jupiter.v4i3.1296

Abstract

Purpose: The purpose of this project is to create GeoGebra-assisted learning materials for transformation subjects and to assess their efficacy, validity, and usefulness in enhancing students' mathematical problem-solving abilities. Methods: The five steps of the ADDIE model analysis, design, development, implementation, and evaluation were used in this study's Research and Development (R&D) methodology. Experts in media and materials verified the product, and SMP Negeri 3 Suwawa students in Grade IX participated in both small-scale and large-scale trials. Validation sheets, response surveys, and tests of problem-solving abilities were used to gather data. Gain score analysis and pretest-posttest scores were used to gauge the media's efficacy. Findings: The findings demonstrated that the GeoGebra-assisted learning resources satisfied the requirements for efficacy, practicality, and validity. The product's viability for use in mathematics education was confirmed by expert validation. In both the small-scale and large-scale trials, student replies were 88.90% and 89.23%, respectively, while instructor responses were 95.2%, both of which were classified as extremely practical. The effectiveness test showed that students' ability to solve mathematical problems had significantly improved, as evidenced by the average pretest score rising from 53.33 to 89.89 in the posttest. A high and successful degree of improvement was indicated by the gain score of 0.71 and the gain percentage of 70.74%. Research implications: The created educational materials can be a useful substitute for teaching mathematics, especially when it comes to transformation subjects that call for powerful visualisation. GeoGebra integration offers interactive learning opportunities that improve students' problem-solving skills and help them grasp concepts. Originality: By creating and validating a GeoGebra-assisted learning medium especially for transformation material and methodically assessing its quality using validity, practicality, and effectiveness criteria within the ADDIE development framework, this study advances mathematics education.
The Implementation of Project-Based Learning Assisted by GeoGebra-Based Ludomatika to Improve Students' Mathematics Learning Outcomes in Social Arithmetic Endang Anjarwarti; Sarson W. Dj. Pomalato; Kartin Usman
Research in the Mathematical and Natural Sciences Vol. 5 No. 2 (2026): May-October 2026
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55657/rmns.v5i2.317

Abstract

This study aims to improve students' mathematics learning outcomes in social arithmetic through the implementation of the Project-Based Learning (PjBL) model assisted by GeoGebra-based Ludomatika media in class VII-1 of SMP Negeri 11 Dumoga. This study employed a classroom action research (CAR) design conducted in the 2024/2025 academic year, involving 30 students of class VII-1 as research subjects. The study was conducted in two cycles, each consisting of planning, action implementation, observation, and reflection stages. Data were collected through tests and observations using essay tests and observation sheets for teacher and student activities. The results showed an improvement in students' learning outcomes following the implementation of learning assisted by GeoGebra-based Ludomatika. In addition, teacher activity increased from 77.77% in Cycle I to 83.33% in Cycle II, while student activity increased from 69.70% to 80.60%. These improvements indicate that the implementation of Project-Based Learning assisted by GeoGebra-based Ludomatika can support the improvement of students' mathematics learning outcomes in social arithmetic. Therefore, the use of this media can serve as an alternative to support the mathematics learning process in the classroom.
Analisis Kemampuan Penalaran Matematis Siswa pada Materi Kesebangunan dan Kekongruenan di Kelas IX MTs Negeri 1 Bone Bolango Moh. Safrikal Layilu; Sumarno Ismail; Kartin Usman
JEMS: Jurnal Edukasi Matematika dan Sains Vol. 13 No. 2 (2025)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jems.v13i2.21805

Abstract

Penelitian ini bertujuan menganalisis kemampuan penalaran matematis siswa pada materi kesebangunan dan kekongruenan di kelas IX MTS Negeri 1 Bone Bolango. Penelitian ini menggunakan metode deskriptif kualitatif, dengan data dikumpulkan melalui tes dan wawancara. Dari 22 siswa yang diuji, 18,18% siswa memiliki kemampuan penalaran matematis tinggi, 45,45% berada pada tingkat sedang, dan 36,36% berada pada tingkat rendah. Rata-rata skor siswa dengan kemampuan tinggi adalah 26,75 dari 32, siswa dengan kemampuan sedang mencapai 19,8, dan siswa dengan kemampuan rendah mendapatkan 15,5. Hasil wawancara menunjukkan siswa dengan kemampuan tinggi dapat menjawab sebagian besar soal dengan baik, sementara siswa sedang masih memerlukan peningkatan ketelitian, dan siswa dengan kemampuan rendah kesulitan memahami soal dan menerapkan konsep matematis.
The PBL Model in Statistics to Improve Eighth-Grade Students’ Mathematical Problem-Solving Skills Sandrawati Djafar; Sumarno Ismail; Kartin Usman
Jurnal Pendidikan Matematika Universitas Lampung Vol. 14 No. 2 (2026): Jurnal Pendidikan Matematika Universitas Lampung
Publisher : Faculty of Teacher Training and Education

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/mtk/v14i2.pp168-176

Abstract

This study aims to improve students’ mathematical problem-solving skills through the implementation of the Problem-Based Learning model in Statistics material. The research was conducted in class VIII-1 at SMP Negeri 2 Tibawa with 26 students. This study uses classroom action research. The data collection techniques used were observation and tests. The instruments in this study consisted of teacher activity observation sheets, student activity observation sheets, and written tests. The study was conducted in two cycles. The implementation of learning by applying the Problem-Based Learning model to Statistics material in class VIII at SMP Negeri 2 Tibawa improved mathematical problem-solving skills. This is indicated by the results showing that mathematical problem-solving skills increased from 34.62% in cycle I to 88.46% in cycle II.
PENERAPAN MODEL PEMBELAJARAN PBL UNTUK MENINGKATKAN KEAKTIFAN SISWA KELAS X SMA PADA MATERI SISTEM PERSAMAAN LINEAR TIGA VARIABEL Farida Achir; Majid Majid; Kartin Usman
JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) Vol 12, No 1 (2026)
Publisher : Universitas Bhinneka PGRI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29100/jp2m.v12i1.9127

Abstract

Penelitian ini bertujuan untuk meningkatkan keaktifan belajar terhadap hasil belajar matematika dengan menggunakan model pembelajaran Problem Based – Learning (PBL) dengan materi Sistem Persamaan Linear Tiga Variabel (SPLTV) di kelas X di SMA Negeri 6 Gorontalo. Temuan penelitian menunjukkan bahwa dengan menggunakan Pembelajaran PBL, kegiatan guru meningkat dari 72% pada siklus I menjadi 94% pada siklus II, keaktifan guru dari 60% pada siklus I menjadi 92%, dan kegiatan siswa meningkat dari 56% pada siklus I menjadi 97% pada siklus II, serta keaktifan siswa meningkat dari 61% menjadi 89%. Selain itu, nilai ketuntasan meningkat  dari 43% pada siklus I menjadi 91% pada siklus II, siswa yang mencapai skor penguasaan lebih terlibat. Peningkatan ini menunjukkan bahwa pendekatan Pembelajaran PBL dalam pendidikan berhasil memotivasi siswa untuk terlibat dalam partisipasi aktif di kelas, yang meningkatkan hasil belajar matematika mereka. sebagai strategi alternatif yang dapat mendorong pembelajaran aktif, pendekatan Pembelajaran PBL sering digunakan. 
PENGEMBANGAN MEDIA PEMBELAJARAN H5P (HTML5 Package) TERINTEGRASI WordPress UNTUK DIGITALISASI MATERI BARISAN ARITMETIKA PADA SISWA KELAS X Sisin Dunggio; Sumarno Ismail; Kartin Usman
JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) Vol 12, No 1 (2026)
Publisher : Universitas Bhinneka PGRI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29100/jp2m.v12i1.8155

Abstract

Penelitian ini mengembangkan media pembelajaran matematika dengan bantuan H5P (HTML5 Package) yang diintegrasikan dengan WordPress untuk pokok bahasan barisan aritmetika pada kelas X (Sepuluh) SMAN 1 Suwawa yang bertujuan agar media pembelajaran yang dihasilkan dapat mempermudah proses pembelajaran sehingga tujuan dari pembelajaran tersebut tercapai. Penelitian ini menggunakan jenis Penelitian Pengembangan atau RD (Research and Development) dan model pengembangan 4-D. Berdasarkan hasil penelitian, media H5P (HTML5 Package) di WordPress pada pokok bahasan barisan aritmetika yang telah dikembangkan menggunakan model 4-D, dinilai sangat layak dengan revisi oleh validasi ahli dengan perolehan skor sebesar 93% dari validator media, skor sebesar 90% dari validator materi dan dinilai sangat layak dengan perolehan skor sebesar 91% dari hasil uji keterbacaan media. Kemudian, diperoleh skor respon guru sebesar 98% dan skor respon siswa sebesar 95% yang menyatakan bahwa media ini dikategorikan sangat praktis. Sehingga disimpulkan media yang dikembangkan valid, layak dan praktis untuk digunakan.
PENERAPAN MODEL PEMBELAJARAN INKUIRI TERBIMBING UNTUK MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIKA SISWA PADA MATERI SPLTV Indriyani Putri Ngadi; Majid Majid; Kartin Usman
JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) Vol 12, No 1 (2026)
Publisher : Universitas Bhinneka PGRI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29100/jp2m.v12i1.8265

Abstract

Penelitian ini bertujuan untuk mendeskripsikan penerapan model pembelajaran inkuiri terbimbing mampu meningkatkan kemampuan menyelesaikan masalah matematika peserta didik pada pokok bahasan Sistem Persamaan Linear Tiga Variabel (SPLTV). Pada semester genap tahun ajaran 2024/2025, sebanyak 31 siswa dari kelas X-2 SMA Negeri 1 Suwawa berpartisipasi dalam penelitian tindakan kelas ini. Data dikumpulkan melalui observasi dan tes, kemudian dianalisis berdasarkan observasi kegiatan guru, observasi kegiatan siswa, serta tes kemampuan menyelesaiakan masalah peserta didik. Prosedur penelitian mencakup tahapan perencanaan, pelaksanaan, pengamatan, dan refleksi, dengan dua siklus pelaksanaan. Hasil penelitian menunjukkan peningkatan kemampuan pemecahan masalah matematika siswa dari siklus I 71,55% ke siklus II menjadi 81,48%. Selain itu, observasi terhadap keterlaksanaan pembelajaran oleh guru juga mengalami peningkatan dari 71,5% di siklus I meningkat menjadi 82% di siklus II. Sementara itu, aktivitas siswa mengalami kenaikan dari 69,5% di siklus I menjadi 81% di siklus II. Penelitian ini membuktikan bahwa penerapan model inkuiri terbimbing pada materi SPLTV efektif dalam meningkatkan kemampuan pemecahan masalah matematika siswa.