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Exploring students’ imaginative process: Analysis, evaluation, and creation in mathematical problem-solving Sri Rahayuningsih; Muhammad Nurhusain; Sirajuddin Sirajuddin
Beta: Jurnal Tadris Matematika Vol. 16 No. 1 (2023): Beta May
Publisher : Universitas Islam Negeri (UIN) Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20414/betajtm.v16i1.537

Abstract

[English]: The role of imagination as a means of learning mathematics, unlike in other fields such as art and literature, is not well defined. The present study aims to examine the process of students’ imagination in solving mathematics problems. It involved three grade 8 students which were purposively selected based on their scores in a given test. Students’ answers to the test and the results of interviews were examined qualitatively referring to the three stages of creative problem-solving that involve imagination: analysis, evaluation and creation. The results show that, in the analysis phase, imagination was found in the students’ ability to define problems in general (common visual). As the first step in solving a problem, they analysed mathematical knowledge needed to solve the problem. In the evaluation phase, imagination was formed as students completed the final answer by creating visual representations from previous experiences as artifacts taken together and gathering necessary knowledge. In the last phase, creation, imagination was identified when students engaged in a cyclical thought process to find new ideas in solving the problem. This process repeated until the students found no other ideas or ways to solve the problem. [Bahasa]: Peran imajinasi sebagai sarana belajar matematika belum didefinisikan dengan baik, tidak seperti pada bidang lain seperti seni dan sastra. Penelitian ini bertujuan menelusuri proses imajinasi siswa selama melakukan pemecahan masalah matematika. Penelitian ini melibatkan tiga siswa kelas 8 yang dipilih melalui purposive sampling, berdasarkan nilai tertinggi hasil tes pemecahan masalah matematika. Jawaban siswa dan hasil wawancara dianalisis secara kualitatif dengan merujuk pada tiga tahapan proses kreatif yang melibatkan imajinasi: analisis, evaluasi dan kreasi. Hasil penelitian menunjukkan, pada tahap analisis, imajinasi yang terbentuk ditandai dengan kemampuan siswa menetapkan masalah secara umum (common visual). Sebagai langkah awal untuk menyelesaikan masalah, siswa melakukan koreksi dengan cara memikirkan kembali pengetahuan matematika yang dibutuhkan. Proses imajinasi pada tahap evaluasi ditunjukkan oleh kemampuan siswa dalam menyimpulkan jawaban akhir dengan cara membangun visual dari pengalaman sebelumnya sebagai artefak yang diambil bersama serta mengumpulkan pengetahuan yang diperlukan. Pada tahap kreasi, kemampuan siswa melakukan proses berpikir secara siklis dalam memikirkan ide baru untuk menyelesaikan masalah yang dihadapi menunjukkan proses imajinasi pada tahap ini. Proses ini berlangsung secara berulang, sampai siswa tidak memiliki ide lagi untuk menyelesaikan masalah.
EFEKTIVITAS MODEL KOOPERATIF TIPE ROTATING TRIO EXCHANGE DALAM PEMBELAJARAN LOGARITMA Nurhusain, Muhammad
Journal of Honai Math Vol. 4 No. 1 (2021): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v4i1.164

Abstract

The mathematics students should construct their own mathematical concepts. The rotating trio exchange model of cooperative learning enables students to construct mathematical concepts. The purpose of this study is to determine the effectiveness of the rotating-trio-exchange cooperative learning model in the learning of mathematics, particularly logarithmic material. This research is a pre-experimental study using a pretest-posttest-only group design. The population of this study was students of class X SMA. The sample consisted of 21 students from class XB SMA YP-PGRI 3 Makassar. Data collection occurred twice, before and after the implementation of teaching and learning. The data were analyzed both descriptively and inferentially. The findings indicated that rotating group members during each discussion session while constructing mathematical concepts could elicit student activity, resulting in more meaningful learning and improved learning outcomes. Thus, the rotating trio exchange cooperative learning model is effective for learning logarithmic.
Komunikasi Matematis Siswa SMP: Studi Membangun Diskusi Kelompok yang Efektif Melalui Strategi Student Team Heroic Leadership Nurhusain, Muhammad; Hasby, Muhammad
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 1 No. 1 (2021): January - June 2021
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v1i1.15

Abstract

Matematika pada umumnya identik dengan penghitungan angka dan rumus, sehingga menimbulkan anggapan bahwa keterampilan komunikasi tidak dapat dibangun dari pembelajaran matematika. Salah satu komponen kunci yang dapat mempengaruhi keberhasilan dalam matematika adalah kebutuhan untuk memperhatikan ketelitian yang secara eksplisit meminta siswa untuk memperhatikan ketepatan baik kalkulasi maupun bahasa. Berdasarkan hasil wawancara dengan guru mata pelajaran matematika SMP di salah satu sekolah negeri yang ada di Makassar, peneliti menemukan beberapa masalah dalam pembelajaran matematika (1) metode yang digunakan guru adalah ceramah. (2) pembelajaran belum berpusat pada siswa (student centered learning). (3) Dalam menyelesaikan soal matematika siswa kurang mampu menuliskan simbol matematika dengan benar. Bagaimana meningkatkan komunikasi matematika siswa dalam membangun diskusi kelompok yang efektif melalui strategi student team heroic leadership adalah tujuan penelitian ini. Jenis penelitian ini adalah Penelitian Tindakan Kelas yang akan di adakan minimal 2 siklus, setiap siklus terdiri dari empat tahapan yaitu: 1) Perencanaan, 2) Pelaksanaan, 3) Pengamatan, 4) Refleksi. Subjek Penelitian adalah siswa kelas VII salah satu SMP negeri yang ada di Makassar, yang terdiri dari 6 laki-lai dan 10 perempuan. Hasil penelitian menunjukkan komunikasi matematika siswa dapat ditingkatkan dengan menerapkan strategi pembelajaran Student Team Heroic Leadership, hal ini ditunjukkan dengan rata-rata nilai hasil tes komunikasi pada siklus I dari 76% menjadi 96% pada siklus II, ketuntasan hasil tes komunikasi matematika siswa secara kalsikal meningkat dari tes siklus I ke tes siklus II, dan terjadi perubahan positif aktivitas siswa pada siklus I dan siklus II. Temuan lain terungkap bahwa adanya kecenderungan siswa menyembunyikan sesuatu yang tidak diketahui selama proses pembelajaran sehingga guru kesulitan untuk menilai sejauh mana pemahaman siswa terhadap konsep dari materi matematika yang disajikan. Harapan peneliti, lebih lanjut akan dilakukan penelitian bagaimana memunculkan percaya diri siswa dalam mengungkapkan ketidaktahuan selama menyelesaikan masalah matematika yang disajikan guru selama proes pembelajaran.
Komparasi Efektivitas Model Pembelajaran Project Based Learning (PjBL) dan Konvensional: Studi Pada Siswa Menengah Pertama Rahayuningsih, Sri; Nurasrawati, Nurasrawati; Muhammad Nurhusain
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 2 No. 2 (2022): July - December 2022
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v2i2.654

Abstract

Metode pembelajaran konvensional tidak memberikan kesempatan kepada siswa untuk berpartisipasi aktif pada proses pembelajaran. Hal ini mengakibatkan hasil belajar matematika siswa berada pada kategori rendah. Ketidakmampuan siswa dalam mengingat materi yang telah diajarkan oleh guru menjadi faktor utama rendahnya hasil belajar, khususnya di di SMP YP-PGRI 4 Makassar. Salah satu solusi untuk meminimalkan permasalahan siswa adalah melalui penerapan Project Based Learning (PjBL). Oleh karena itu, tujuan penelitian ini adalah untuk mengetahui apakah hasil belajar matematika yang diajar melalui Model Project based Learning PjBL lebih baik dibandingkan dengan siswa yang diajar melalui model pembelajaran Konvensional. Penelitian ini termasuk penelitian eksperimen dengan metode komparasi. Hasil yang ditemukan adalah rata-rata hasil belajar matematika siswa yang diajar dengan menggunakan model PjBL lebih tinggi dibandingkan dengan rata-rata hasil belajar matematika siswa yang diajar dengan menggunakan model pembelajaran Konvensional. Oleh karena itu, Model PjBL menjadi rekomendasi untuk pembelajaran saat ini
DEVELOPMENT OF ANDROID-BASED MATHEMATICS LEARNING MEDIA TO IMPROVE CRITICAL THINKING SKILLS OF HIGH SCHOOL STUDENTS IN WEST SULAWESI Rezki Novianti; Ana Muliana M; Jeranah; Muhammad Nurhusain
Multidisciplinary Indonesian Center Journal (MICJO) Vol. 3 No. 1 (2026): Vol. 3 No. 1 Edisi Januari 2026
Publisher : PT. Jurnal Center Indonesia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62567/micjo.v3i1.2196

Abstract

This study aims to develop an Android-based mathematics learning media using Smart Apps Creator (SAC) and determine its validity, practicality, and effectiveness in improving critical thinking skills of high school students in West Sulawesi. This research is a research and development (R&D) with a modified Borg and Gall model and is limited to the product revision stage after the trial. The resulting product is an Android-based Mathematics E-Module that contains interactive materials, learning videos, problem-solving-based practice questions, learning games, and evaluations. The data collection technique used expert validation questionnaires, teacher and student response questionnaires, and critical thinking ability tests. Data were analyzed using a Likert scale, validation tests, practicality tests, and effectiveness tests through a comparison of pretest and posttest results and N-Gain calculations. The results showed that the developed learning media was in the very feasible category based on the assessment of material experts and media experts with a feasibility percentage above 85%. The practicality test showed that teacher and student responses were in the practical to very practical category. The effectiveness test showed an increase in students' critical thinking abilities in the moderate to high category, and there was a significant difference between the pretest and posttest scores. Thus, Android-based mathematics learning media using Smart Apps Creator is effective for improving the critical thinking abilities of high school students in West Sulawesi.
An Ethnomathematical Exploration of Geometric Transformations in Torajan Paruki Woven Fabrics Muhammad Nurhusain; Nur Asrawati; Suri Lembang
Indonesian Journal of Educational Science (IJES) Vol. 8 No. 2 (2026): Indonesian Journal of Educational Science (IJES) : July 2026
Publisher : Universitas Sulawesi Barat

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Abstract

This study explored the ethnomathematical aspects of Paruki woven fabrics preserved at the La Galigo Museum by identifying geometric transformations embedded in their motifs and discussing their pedagogical implications for teaching transformation geometry. Paruki woven fabric is a traditional Torajan textile historically associated with ceremonial practices, including Rambu Solo'. The study employed an exploratory qualitative design informed by ethnographic principles, using artifact observation, semi-structured interviews with museum professionals, and document analysis. The findings revealed that the motifs embodied translation, reflection, rotation, and proportional scaling. Translation was the dominant transformation, while reflection and rotation were observed in symmetrical and repetitive motif arrangements, and proportional scaling was identified through similar geometric figures of different sizes. These mathematical patterns were interpreted alongside their cultural meanings, demonstrating the value of Paruki woven fabrics as culturally meaningful contexts for learning transformation geometry. This study extends ethnomathematics research by linking Torajan textile motifs with transformation geometry concepts and highlighting their potential to support culturally responsive mathematics education.
PENINGKATAN HASIL BELAJAR MATEMATIKA SISWA MELALUI PENDEKATAN MATEMATIKA REALISTIK BERBASIS ETNOMATEMATIKA PADA SISWA KELAS VIIa SMP NEGERI 2 NOSU Yunita Tasik, Muhammad Nurhusain, Rezky Rahma Ruslan
CENDEKIA: JURNAL ILMIAH PENDIDIKAN Vol 11 No 2 (2023): CENDEKIA: Jurnal Ilmiah Pendidikan
Publisher : STKIP Paris Barantai

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33659/cip.v11i2.282

Abstract

This research was aim to improve the students’ mathematics learning outcomes through realistic mathematics approach bases on ethnomathematics. This research was classroom action research that implemented at SMP Negeri 2 Nosu, consist of first cycle and second cycle. The subject of this research was the seventh-grade students of SMP Negeri 2 Nosu in 2021/2022 academic year with 15 students consist of 5 men students and 10 women students. The students’ score obtainable used instrument essay question. The data was analyze used descriptive statistics. Based on the research result for the first cycle and the second cycle show that pre- test score for the first cycle was 64.33 with standard deviation was 8.330 and the completeness was 46.67%. The students’ post-test score for the second cycle was 80.93 with standard deviation was 7.815 and score completeness was 93.33% that means fulfilled the classical completeness criteria that is 85%. Based on the result, can conncluded that the use of mathematics realistics approach bases on ethnomathematics can improve the students’ mathematics learning outcomes for the square submaterial.
Ethnomathematics-Based Learning for Enhancing Mathematical Literacy in Junior High School Students Muhammad Nurhusain; Karmila; Mulyati; Muhammad Tahir
Global Journal Basic Education Vol. 5 No. 3 (2026): Agustus (article on process)
Publisher : Sains Global Institut, Indonesia

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Abstract

Mathematical literacy remains a major challenge among Indonesian students, as reflected in national and international assessment results. This study aimed to examine the effect of an ethnomathematics-based learning model on the mathematical literacy skills of eighth-grade students at SMP Makassar Raya. A quantitative approach was employed using a pre-experimental One-Group Pretest–Posttest design. The participants consisted of 15 students selected through total sampling. Data were collected through a mathematical literacy test developed based on the PISA competencies of formulate, employ, and interpret. Descriptive and inferential statistics were used for data analysis, including the One-Sample t-test and Paired-Samples t-test. The findings revealed a substantial improvement in students’ mathematical literacy, with the mean score increasing from 18.13 on the pretest to 80.53 on the posttest. The One-Sample t-test indicated that the posttest mean score significantly exceeded the Minimum Mastery Criterion (Sig. = 0.003 < 0.05), while the Paired-Samples t-test confirmed a significant difference between pretest and posttest scores (Sig. = 0.000 < 0.05). These findings indicate that ethnomathematics-based learning contributes to the improvement of students’ mathematical literacy skills while promoting more meaningful mathematics learning that is relevant to cultural contexts.
Implementasi Pendekatan Kontekstual Dengan Mengintensifkan Scaffoldinguntuk Meningkatkan Hasil Belajar Matematika Muhammad Nurhusain; Yani Indriani
Sainsmat : Jurnal Ilmiah Ilmu Pengetahuan Alam Vol. 5 No. 1 (2016): Volume 5 Nomor 1 (Maret 2016)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Makassar

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Abstract

This research is a classroom action research that aims to improve the learning outcomes of mathematics through contextual approach to intensify scaffolding on VIIIAgrade students of SMP Negeri 2 Donggo Bima at the subject math of cubes and blocks. The subjects were VIIIAgrade students of SMP Negeri 2 Donggo Bima in the second semester of academic year 2014/2015 with 30 students consisted of 8 girls and 22 boys. This research was conducted with two-cycles namely cycle I and cycle II. The data were collected by using achievement test at the end of both cycles and the observation data of each meeting. The data were analyzed by using quantitative and qualitative analysis. The results of this research showed that there was an increase in the mean score of students' cognitive aspects in the amount of 61.63 with a standard deviation at 19.86 which included as the lower category in the first cycle, those became 84.17 with standard deviation at 10.60 in the second cycle. Based on the analysis of the frequency distribution aspects of the student activity was 35.56% in the first cycle and increased to 80% with “good” category. The classical completeness in cycle I have not been fulfilled yet which gained 26.67% and it increased in the second cycle with 86.67%, so the classical completeness met. Thus, the use of a contextual approach by intensifying the scaffolding can improve the learning outcomes of VIIIAstudents in SMP Negeri 2 Donggo Bima.