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Sumarno Ismail

Universitas Negeri Gorontalo

Author-ID : 289480

Religion Arts Humanities Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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Reformulation and Generalization Of Van Aubel's Theorem Using Complex Variables Laiya, Gusti Hari Fajar; Asriadi, Asriadi; Achmad, Novianita; Ismail, Sumarno; Nurwan, Nurwan
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.9051

This research aims to reformulate and generalize Van Aubel’s Theorem using a complex number approach. Classically, Van Aubel’s Theorem states that if squares are constructed externally on the sides of an arbitrary quadrilateral, then the line segments connecting the centers of opposite squares are congruent and perpendicular to each other. Through a complex algebra approach, this research systematically reconstructs the proof of the theorem and extends its application to more complex geometric forms. The representation of points, rotations, and lines in the complex plane is employed to reprove and develop generalizations of the theorem. The results demonstrate that the use of complex numbers facilitates geometric analysis and reveals new patterns in geometric relationships. This research contributes to the advancement of modern geometry through algebraic methods and opens opportunities for further exploration of complex numbers in solving other geometric problems.

PENERAPAN QUIZIZZ MATERI SISTEM PERSAMAAN LINEAR DUA VARIABEL DENGAN MENGGUNAKAN PEMBELAJARAN BERDIFERENSIASI UNTUK MENINGKATKAN HASIL BELAJAR KELAS VIII-5 SMP NEGERI 2 GORONTALO Yusuf, Anita Angraini; Ismail, Sumarno; Oroh, Franky Alfrits
JURNAL MathEdu (Mathematic Education Journal) Vol 8 No 2 (2025): JURNAL MathEdu (Mathematic Education Journal) Juli 2025
Publisher : Program Studi Pendidikan Matematika Institut Pendidikan Tapanuli Selatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37081/mathedu.v8i2.7149

Seiring dengan perkembangan zaman, peserta didik pastinya sudah mengenal dan juga bisa menggunakan teknologi. Teknologi di dalam pembelajaran tentunya diharapkan dapat menjadi salah satu cara untuk mengatasi kecenderungan pembelajaran monoton yang ada di sekolah pada umumnya. Salah satu teknologi yang bisa dipakai dalam proses pembelajaran yaitu Quizizz. Penelitian ini bertujuan untuk mendeskripsikan penerapan Quizizz yang dapat meningkatkan hasil belajar siswa dan mendeksripsikan peningkatan hasil belajar siswa materi sistem persamaan linear dua variabel setelah diterapkan Quizizz dengan menggunakan pembelajaran berdiferensiasi. Penelitian ini merupakan penelitian tindakan kelas (PTK). Pada penelitian ini ada 4 tahapan yaitu perencanaan, tindakan, pengamatan dan refleksi. Subjek penelitian ini adalah siswa kelas VIII-5 SMP Negeri 2 Gorontalo yang berjumlah 25 Siswa. Analisis data kuantitatif dari observasi dan tes menunjukkan bahwa pada siklus I, baik guru (83%) maupun siswa (86%) sudah mencapai hasil optimal. Dan untuk tingkat ketuntasan belajar matematika siswa (88%) sudah memenuhi kriteria ketuntasannya adala 80%. Kesimpulan dari penelitian ini adalah penerapan Quizizz dapat meningkatkan hasil belajar siswa materi sistem persamaan linear dua variabel siswa kelas VIII-5 SMP negeri 2 Gorontalo.

Development of Learning Media at Junior High School: Comic Reading Applications Using Software Ispring Suite Gombah, Wimansya; Ismail, Sumarno; Pauweni, Khardiyawan
ETDC: Indonesian Journal of Research and Educational Review Vol. 4 No. 4 (2025): September
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/ijrer.v4i4.3624

The background research was conducted as an effort to overcome students' low interest and understanding of mathematics due to the monotonous learning approach. Therefore, this study aims to develop a mathematics learning media application in the form of comics that focuses on the material of linear equations with two variables, specifically designed for eighth-grade junior high school students. This research uses the Plomp development model, which includes the stages of initial investigation, design, realization/reconstruction, test, evaluation and revision, and implementation. This research was conducted at Junior High School 1 Bulango Timur. The data collection approach used in this research is a validation sheet and a questionnaire for students and teachers. Data analysis in this study used qualitative descriptive analysis. The results of validation by experts show that this media is valid, with the readability test obtaining a feasibility level of 97.27% and student responses reaching 99.2% (very practical). Teacher responses also showed practicality at 91.7%. This media is proven to increase student learning motivation, facilitate understanding of abstract concepts, and create captivating learning experiences, so it is feasible to be applied in learning mathematics on the material of the system of linear equations of two variables.

PENGEMBANGAN E-MODUL PADA MATERI TEOREMA PYTHAGORAS BERBASIS PENDEKATAN REALISTIC MATHEMATICS EDUCATION (RME) BERBANTUAN FLIP PDF PROFESSIONAL Rajak, Nur Andraini; Ismail, Sumarno; Usman, Kartin
JURNAL MathEdu (Mathematic Education Journal) Vol 8 No 3: JURNAL MathEdu (Mathematic Education Journal) November 2025
Publisher : Program Studi Pendidikan Matematika Institut Pendidikan Tapanuli Selatan

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

This research aims to develop an e-module on the topic of the Pythagorean Theorem using the RealisticMathematics Education (RME) approach, assisted by Flip PDF Professional The background of thisresearch was the low level of students mathematical understanding, the limited availability of teachingmaterials, and the suboptimal use of technology in the learning process at SMP Negeri 2 Randangan. Theresearch followed the five stages of the ADDIE development model, namely. Analysis, Design,Development, Implementation, and Evaluation. The results of the expert validation for media and contentshowed that the developed e-module fell into the "valid" category, with average scores of 3.36 and 3.37,respectively. The practicality tests also yielded excellent results, with a practicality percentage of 92.50%from teachers and 89.49% from students, both categorized as "very practical." Therefore, this e-modulewas considered suitable and effective for use as a learning resource, particularly for teaching thePythagorean Theorem. It was also found to enhance student engagement and understanding through acontextual and interactive approach.

Effect of Project-Based Learning Model on Students' Higher-Order Thinking Skills Ismail, Sumarno; Jusuf, Nurul Fatwa Anbiya; Zakaria, Perry; Achmad, Novianita; Rif’at, Nazmi
Mosharafa: Jurnal Pendidikan Matematika Vol. 13 No. 1 (2024): January
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v13i1.1986

Masalah dalam penelitian ini berfokus pada rendahnya kemampuan berpikir tingkat tinggi siswa di sekolah menengah atas, yang menjadi perhatian utama dalam peningkatan kualitas pembelajaran. Penelitian ini bertujuan untuk mengetahui perbedaan pengaruh model project based learning (PjBL) terhadap kemampuan berpikir tingkat tinggi siswa kelas X di salah satu sekolah di Tilamuta, kabupaten Boalemo. Metode penelitian ini adalah eksperimen dengan desain penelitian One Group Pretest-Posttest Design. Subjek penelitian terdiri dari 3 kelas eksperimen (E1, E2, E3). Teknik pengumpulan data dilakukan melalui tes kemampuan berpikir tingkat tinggi berbentuk esai. Analisis inferensial menunjukkan bahwa H0 ditolak, yang berarti terdapat perbedaan signifikan dalam pengaruh model project based learning (PjBL) terhadap kemampuan berpikir tingkat tinggi siswa di ketiga kelas tersebut. The problem in this study focuses on the low level of students' higher order thinking skills in senior high school, which is a major concern in improving the quality of learning. This study aims to determine the difference in the effect of project-based learning (PjBL) model on the high-level thinking ability of grade X students in one of the schools in Tilamuta, Boalemo district. This research method is an experiment with One Group Pretest-Posttest Design research design. The research subjects consisted of 3 experimental classes (E1, E2, E3). The data collection technique was done through an essay-shaped higher order thinking ability test. Inferential analysis showed that H0 was rejected, which means there is a significant difference in the effect of the project-based learning (PjBL) model on students' higher-order thinking skills in the three classes.

Penerapan Model Problem-Based Learning dalam Meningkatkan Hasil Belajar Materi Persamaan dan Pertidaksamaan Linear Satu Variabel Ismail, Sumarno; Tayeb, Rahmatillah M. Dj.; Bito, Nursiya
JURNAL MathEdu (Mathematic Education Journal) Vol 8 No 3: JURNAL MathEdu (Mathematic Education Journal) November 2025
Publisher : Program Studi Pendidikan Matematika Institut Pendidikan Tapanuli Selatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37081/mathedu.v8i3.7541

Penelitian ini bertujuan untuk meningkatkan hasil belajar matematika siswa melalui model problem-based learning (PBL) pada materi persamaan dan pertidaksamaan linear satu variabel. Metode penelitian yang digunakan adalah penelitian tindakan kelas (PTK) yang diberikan kepada 17 orang siswa kelas VII-B MTs Negri 2 Bolaang Mongondow Selatan sebagai subjek penelitian. Penelitian ini dilaksanakan sebanyak dua siklus, yang masing-masing siklus terdiri dari perencanaan, pelaksanaan tindakan, observasi, dan refleksi. Teknik pengumpulan data dilakukan melalui instrumen lembar observasi guru dan siswa, serta tes hasil belajar. Pada siklus I data hasil observasi terhadap kegiatan guru dan siswa menujukkan rata-rata kriteria cukup baik (CB) dan hasil belajar siswa menunjukkan ketuntasan sebesar 64,7% dimana 11 dari 17 siswa yang mencapai nilai diatas KKM. Karena indikator keberhasilan tidak tercapai yakni minimal 80% maka penelitian dilanjutkan ke siklus II dengan beberapa perbaikan. Setelah melakukan perbaikan, pada siklus II diperoleh data hasil observasi terhadap kegiatan guru dan siswa sudah mencapai rata-rata kriteria baik (B) dan hasil belajar siswa juga menunjukkan peningkatan dimana 82,35% atau 14 dari 17 orang siswa telah berhasil mencapai nilai diatas KKM. Berdasarkan pernyataan tersebut, dapat disimpulkan bahwa model problem-based learning dapat meningkatkan hasil belajar siswa pada materi persamaan dan pertidaksamaan linear satu variabel.

Pengembangan Media Pembelajaran Numerix Berbasis Web Genially Pada Materi Bilangan Di Kelas VII SMP Negeri 1 Suwawa Antu, Isra; Ismail, Sumarno; Pauweni, Khardiyawan A. Y.
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.v13i2.21882

Penggunaan sumber belajar berupa buku paket matematika dan Microsoft Word di kelas VII dinilai kurang memfasilitasi kebutuhan belajar peserta didik, disebabkan oleh keterbatasan media pembelajaran yang kurang beragam serta berbagai tantangan yang dihadapi oleh pendidik dalam proses pembuatan media pembelajaran. Penelitian ini bertujuan untuk mengembangkan media pembelajaran Numerix berbasis web Genially pada materi bilangan di kelas VII yang sudah diuji kelayakan dan kepraktisan. Metode penelitian ini menggunakan Researc and Development (R&D) dengan model pengembangan 4D (define, design, development, dan disseminate). Kelayakan produk ini dilakukan oleh 3 ahli media dan 3 ahli materi serta uji coba kelompok kecil oleh 5 peserta didik. Kepraktisan produk ini dilakukan dengan uji coba dalam skala besar oleh 27 peserta didik kelas VII SMP Negeri 1 Suwawa pada semester ganjil yang dilanjutkan dengan memberikan angket penilaian guru dan peserta didik. Penelitian ini menunjukkan bahwa media pembelajaran Numerix dinilai layak dengan revisi oleh para ahli dan sangat layak oleh peserta didik dalam kelompok kecil dengan rata-rata persentase 89,71%. Selain itu, kepraktisan media ini memperoleh nilai 90,47% (sangat praktis) dari guru dan 85,22% (sangat praktis) dari peserta didik. Hal ini membuktikan bahwa media pembelajaran Numerix berbasis Web Genially pada materi bilangan di kelas VII SMP negeri 1 Suwawa dinyatakan sangat layak dan praktis.

Pengembangan Modul Ajar Berbasis PBL untuk Memfasilitasi Kemampuan Komunikasi Matematis Siswa pada Materi SPLTV Hasan, Yulia Agustina; Ismail, Sumarno; Takaendengan, Bertu Rianto
Griya Journal of Mathematics Education and Application Vol. 5 No. 4 (2025): Desember 2025
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v5i4.914

Kemampuan komunikasi matematis merupakan aspek krusial dalam belajar mengajar matematika, karena berperan dalam membantu siswa menyampaikan ide, menjelaskan proses berpikir, serta menghubungkan konsep matematika dengan konteks kehidupan nyata. Studi ini bertujuan untuk merancang modul pembelajaran berbasis Problem Based Learning (PBL) guna membantu siswa mengembangkan keterampilan komunikasi matematis pada topik Sistem Persamaan Linear Tiga Variabel (SPLTV) dan memiliki tingkat kelayakan serta kepraktisan tinggi untuk digunakan dalam pembelajaran. Metode yang diterapkan dalam studi ini adalah Research and Development (R&D) dengan pendekatan model ADDIE. Subjek dalam penelitian ini terdiri atas 20 peserta didik kelas X SMA Negeri 1 Bone pada semester genap tahun ajaran 2024/2025. Studi ini memanfaatkan beberapa instrumen, yaitu lembar validasi, angket respons guru, dan angket respons siswa. Hasil validasi menunjukkan bahwa modul ajar tergolong sangat valid, dengan persentase 89,23% dari ahli materi dan pembelajaran serta 85,45% dari ahli desain. Sementara itu, uji kepraktisan melalui respons guru dan siswa juga menunjukkan kategori sangat praktis, masing-masing sebesar 90% dari guru dan 84,53% dari siswa. Dengan demikian pengembangan modul ajar berbasis PBL menghasilkan produk yang layak dan praktis dipergunakan dalam aktivitas pembelajaran, serta berpotensi dijadikan acuan untuk studi lanjutan yang berfokus pada pengujian efektivitasnya terhadap peningkatan hasil belajar matematika.

Developing Number Puzzle Learning Media for Elementary School Dyslexic Students: Single Subject Research Sumarno Ismail; Nursiya Bito; Franky Alfrits Oroh; Nisky Imansyah Yahya; Fuzi Sandra Talibo
Didaktik Matematika Vol 10, No 2 (2023): October 2023
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jdm.v10i2.30955

A child displaying symptoms of dyslexic learning disorders requires assistance in accurately identifying numbers, particularly those that share resemblances. This research aimed to develop media for teaching dyslexic children to help them identify numbers correctly.This research employed a development and single-subject research method.The subject was a child with symptoms of dyslexia learning disorders from primary school in Gorontalo, Indonesia. The research instruments used were observation sheets and media validation. The findings revealed that prior to engaging with the puzzle activity, the dyslexic student demonstrated the capability to identify a range of 4 to 5 numbers accurately. However, after participating in the puzzle activity, the dyslexic student exhibited an improved performance, achieving the ability to correctly recognize and recall 8 to 10 digits in both writing and memory. The number puzzle media was developed by dividing the puzzle into two parts: the part of the screen containing the complete picture and the base placing the puzzle pieces. The puzzle pieces were made by stacking several formed duplex parts, then covered with paper glued together to create a waterproof product. The puzzle focused on the numbers contrasting in color. The numbers were divided into several parts to make it easier for dyslexic students to identify models of these numbers. After conducting media testing on a dyslexic student, the analysis demonstrated a positive impact of the media on learning outcomes. This research suggests a notable improvement in the numerical identification skills of the dyslexic student

Development of Adventure Multimedia Game Based on Mobile Learning in Pyramid Topic for Junior High School Ismail Djakaria; Ukhti Nurfajriah Sasmita Ijonu; Sumarno Ismail
Didaktik Matematika Vol 8, No 2 (2021): Jurnal Didaktik Matematika
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jdm.v8i2.21973

Mathematics is a difficult subject for students, causing low motivation, interest and student learning outcomes. To attract students to be more interested in learning mathematics, they must use interactive learning media so that learning is not boring and fun. This study aims to develop a multimedia adventure game in pyramid topic based on mobile learning in grade eight. This study uses the 4-D development model, however, at the stage of dissemination only limited distribution is carried out. The subjects in this study were grade eight students of one of junior school in Gorontalo District, Gorontalo Province, Indonesia. The results of the study based on the validation of topic and media experts showed that the quality of multimedia was good. Meanwhile, based on the teacher's ability for managerial to learn is also categorized as good, the activities of students during the learning process reach the ideal time criteria, the responses of all students are classified as very positive of 90.56% and learning tests show that 72.5% of students achieve completeness. This shows that the adventure multimedia game based on mobile learning in pyramid topic is valid, practise, and effective.

Co-Authors Abas Kaluku Abdul D. Mohidin Abdul Djabar Mohidin Abdul Wahab Abdullah Abdul Wahab Abdullah Agus Humalanggi Amalia Tatu Antu, Isra Arianto A. Diu Asriadi Asriadi Bakari, Magfirah Bempah, Haryati Octaviani Bertu Rianto Takaendengan Daaliuwa, Ica Pratika Dali, Sri Maulana Delvin Safitri Handriani Dewi Rahmawati Isa Dewi Rahmawati Isa Dewi Rahmawaty Isa Deya Ismail Uwange Evi Hulukati Franky Alfrits Oroh Fuzi Sandra Talibo Ginoga, Herlianti Putri Gombah, Wimansya Harun, Artika Rahayu Hasan, Regina Trichianitha Salchabila Hasan, Yulia Agustina Hayatun Napsia R. Tangahu Hulinggi, Rizkandar Adi Raksa M Ibrahim, Faisal Igirisa, Shendy S Indrawati Lihawa Ismail Djakaria Ismail, Sofriyanto Isran K Hasan Jusuf, Nurul Fatwa Anbiya Kartin Usman Kasim, Angelia Wahyuni Khaerani Khaerani Khairun Nisa Humolungo Kiayi, Fuji Fauzia Kobandaha, Putri Ekawaty Kumaralo, Asti Ananta Lailany Yahya Laiya, Gusti Hari Fajar Lasulika, Anisa Layilu, Moh. Safrikal Magfirah Bakari Mahmud, Sri Lestari Majid, Majid Mamonto, Putri Yanti Martya, Ananda Masna Masna, Masna Mohamad, Yulistia Muh Rizal Kidjab Nadila Nurfariza Tahir Nancy Katili NISKY IMANSYAH YAHYA Noho, Andi D Nursiya Bito Nurwan Nurwan Nurwan, Nurwan Pauweni, Khardiyawan Pauweni, Khardiyawan A.Y. Perry Zakaria Pikoli, Santi Pradita Unonongo Putri Utami Suseno Rajak, Nur Andraini RAJAK, SANDIKA S. Resmawan Resmawan Rif’at, Nazmi Rosdiana Halid Rufianti Salmun K. Nasib Sarson W DJ Pomalato Sigar, Tesya Sitti Khadijah Sri Wahyuni Rauf Sri Yelinda Tama Sule, Sri Meylana Syamsu Qomar Badu Taki, Febriani Talib Idrus Tayeb, Rahmatillah M. Dj. Tedy Machmud Ukhti Nurfajriah Sasmita Ijonu Yamin Ismail Yantu, Miranda A.H YUSUF FUAD Yusuf, Anita Angraini Yusuf, Putria

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