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All Journal Jurnal Bunga Rampai Usia Emas Paradikma: Jurnal Pendidikan Matematika Jurnal Daya Matematis Jurnal Pendidikan Fisika International Journal on Emerging Mathematics Education Jurnal Cendekia : Jurnal Pendidikan Matematika Khazanah: Jurnal Studi Islam dan Humaniora GAUSS: Jurnal Pendidikan Matematika Budapest International Research and Critics in Linguistics and Education Journal (Birle Journal) Formosa Journal of Science and Technology (FJST) Research on English Language Education Asian Journal of Applied Education Inovasi Kurikulum
Bornok Sinaga
Universitas Negeri Medan
Arts Humanities Computer Science & IT Education Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Mathematics Physics Social Sciences Other

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Analysis of Students' Mathematical Pattern Thinking Ability Through Problem Based Learning Model Using Geogebra Software Yulinar Lumban Gaol; Bornok Sinaga; Edi Syahputra
PARADIKMA: JURNAL PENDIDIKAN MATEMATIKA Vol 16, No 2 (2023): PARADIKMA JURNAL PENDIDIKAN MATEMATIKA (July - December 2023)
Publisher : Study Program of Mathematics Education of Unimed Postgraduate Program

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/paradikma.v16i2.49180

Abstract

This study aims to determine: (1) The level of students' ability to think mathematical patterns through learning models problem based learning by using software geogebra, (2) The process of student answer sheets in solving pattern thinking problems through learning models problem based learning by using software geogebra, (3) Difficulties in solving problems that require the ability to think patterns in learning problem based learning by using software geogebra. This research is a qualitative research with a descriptive approach. Based on the research data, it was found that: (1) The level of students' ability to think mathematical patterns through learning models Problem Based Learning by using software geogebrais at a moderate level. Of the 19 students, 4 students had a 'high' level of mathematical thinking ability, 12 students had a 'moderate' level of mathematical thinking ability, and 3 students had a 'low' level of mathematical thinking ability. (2) The process of student answer sheets in solving pattern thinking through learning problems based learning models problems by using geogebra software found that the errors that appear more often are errors in differentiating concepts between arithmetic sequences and series, (3) Difficulty in pattern thinking skills in learning problem based learning by using geogebra software including difficulties in exploring and identifying, extending and reproducing, comparing, representing and describing.Keywords: Mathematical Patterns Thinking Ability, Problem Based Learning, Geogebra, Qualitatitve Research
Analysis of Students' Mathematical Abstraction Ability by Using Problem-Based Learning Model Zul Fahmi Siregar; Bornok Sinaga; Pardomuan Sitompul
PARADIKMA: JURNAL PENDIDIKAN MATEMATIKA Vol 16, No 2 (2023): PARADIKMA JURNAL PENDIDIKAN MATEMATIKA (July - December 2023)
Publisher : Study Program of Mathematics Education of Unimed Postgraduate Program

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/paradikma.v16i2.48315

Abstract

This study aims to determine students' mathematical abstraction ability, answer process and difficulties faced by students in solving derivative problems. The subjects in this study were 11th grade students of SMA SWASTA AN - NIZAM Medan who were taught with the application of PBL model and scientific approach. The instrument in this study is a formative test used to see the level of mathematical abstraction ability and the answer process given by students. The difficulties faced by students in the process of solving the problems given can be known through the interview process conducted and documented through cell phones. Of the 19 students who took the math abstraction ability test, 4 students had high category math abstraction ability (21%). 11 students have medium category math abstraction ability (58%), and 4 students have low category math abstraction ability (21%). Of the 4 problems given, for the recognition stage, problem no 1 can be solved by all students. problem no 2 can be solved by 17 students, problem no 3 can be solved by 12 students and problem no 4 can be solved by 8 students. The decline also occurred at the representation and structural abstraction stages. After being analyzed based on the process of answers given by students and the results of interviews conducted, the decline was caused by: 1. the level of difficulty of the problem, 2. learning experience, 3. reasoning power and 4. literacy skills of each different student.. In this research, the media used to help the research process is geogebra. The use of this media is only limited to how to solve the problems given in other ways besides the concepts taught at school.Keywords: Qualitative Research Analysis; Mathematical Abstraction Ability; Problem Based Learning Model
Profile of Students' Computational Thinking Using Problem-Based Learning Models In Review From Learning Style at SMA N 1 Langsa Nindy Litia; Bornok Sinaga; Mulyono Mulyono
PARADIKMA: JURNAL PENDIDIKAN MATEMATIKA Vol 16, No 2 (2023): PARADIKMA JURNAL PENDIDIKAN MATEMATIKA (July - December 2023)
Publisher : Study Program of Mathematics Education of Unimed Postgraduate Program

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/paradikma.v16i2.48110

Abstract

This research examines students' computational thinking abilities in problem-based learning (PBL) classes. (2) Kolb's learning style profile towards students' computational thinking in the PBL context. This type of qualitative research is descriptive in nature, analyzing class XI MIA 4 students at SMAN 1 Langsa using data reduction techniques in assessing Kolb-type learning styles, computational thinking tests, interviews, and documentation. (1) The results of the computational thinking test using the problem-based learning (PBL) learning model showed that the low category was 9 people (25%), the medium category was 15 people (41.44%), and the high category was 12 people (33.33%). Nine low categories, 15 medium categories, and 12 high categories show this. Most students are intermediate computational thinkers. (2) Profile of MS participants with a convergent learning style with indications of decomposition (4 and 90.33%); pattern recognition (3 and 88.35%); thinking algorithm (3 and 72.85%); and patterns of abstraction and generalization (3 and 69.71%). Various learning styles with indications of decomposition (4 and 90.33%); pattern recognition (3 and 80.15%); thinking algorithm (3 and 71.85%); and pattern abstraction and generalization (3 and 69.40%) constitute the profile of DYZ subjects.Keywords: Students' Computational Thinking, Problem Based Learning, Kolb Learning Style.
Integrating QR Code Technology into Problem-Based Learning LKPD : A Development Study in Junior High School Mathematics Regina Sabariah Sinaga; Rina Ardillah Lubis; Ahmad Rifai Siregar; Bornok Sinaga; Lasker P Sinaga
Daya Matematis: Jurnal Inovasi Pendidikan Matematika Vol 14, No 1 (2026): Maret
Publisher : Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26858/jdm.v14i1.83600

Abstract

Mathematics learning in schools is still predominantly teacher-centered, resulting in limited student engagement during the learning process. In addition, the limited availability of teaching materials and the use of student worksheets (LKPD) that are not designed based on specific instructional models cause difficulties for students in understanding the material. This study aims to develop Problem-Based Learning (PBL)-based student worksheets integrated with QR Code technology to create a more interactive and engaging learning environment. This research employed a Research and Development (R&D) method using the 4D model, which was limited to the define, design, and develop stages. The subjects of this study were 20 eighth-grade students of SMP Gusti Wijaya Sunggal. The instruments used included expert validation sheets and student response questionnaires. The results showed that the developed LKPD achieved a very high level of validity with an average score of 92.25% and obtained student responses of 73% categorized as good. The integration of QR Code technology in the worksheets facilitates students’ access to additional learning resources, such as instructional videos. Therefore, the PBL-based LKPD integrated with QR Code is considered valid and practical for use in mathematics learning.
ANALYSIS OF THE APPLICATION OF LOCAL WISDOM OF NIAS IN PROBLEM-BASED LEARNING: A LITERATURE REVIEW WITH A DESCRIPTIVE APPROACH Natalia Kristiani Lase; Bornok Sinaga; Retno Dwi Suyanti
Research on English Language Education Vol 7 No 2 (2025): Research on English Language Education
Publisher : Universitas Nias Raya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57094/relation.v7i2.3910

Abstract

Local wisdom plays a vital role in preserving cultural identity, fostering social harmony, and strengthening a community’s sense of belonging. Within the educational context, integrating local wisdom into learning activities creates meaningful connections between theoretical knowledge and the cultural realities experienced by students in their daily lives. This approach not only promotes contextual learning but also nurtures students’ appreciation of their heritage. This article explores the incorporation of Nias local wisdom into the Problem-Based Learning (PBL) model as a strategy to enhance both academic achievement and character formation. The Nias community possesses rich traditions, social values, and problem-solving practices rooted in cooperation, respect, and responsibility. By embedding these elements into the PBL framework, students are encouraged to engage in authentic learning experiences that mirror real-life challenges while reflecting their cultural identity. The findings show that the integration of Nias local wisdom within PBL significantly improves students’ cognitive, affective, and social competencies. Students demonstrate increased motivation, collaboration, and critical thinking, while also developing empathy and respect for cultural diversity. Moreover, this approach enriches the learning environment by linking education to the community’s cultural context. Consequently, the application of local wisdom in education not only produces academically competent learners but also individuals who are culturally grounded and socially responsible.
Penerapan Model Problem Based Learning Berbasis STEM untuk Meningkatkan Kemampuan Representasi Matematis Siswa pada Materi Fungsi dan Grafik Anisa Rahmadani Siregar; Derma Sarah Tia Wanka Purba; Erika Simangunsong; Helina Qatrunnada Nasution; Lisda Karolin Br Barus; Nazwa Mutia Syafitri; Qory Septiani Arsandy Arsandy; Michael Christian Simanullang; Bornok Sinaga
GAUSS: Jurnal Pendidikan Matematika Vol. 9 No. 1 (2026)
Publisher : Universitas Serang Raya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30656/gauss.v9i1.12101

Abstract

Abstrak Penelitian ini bertujuan untuk menganalisis peningkatan kemampuan representasi matematis siswa melalui penerapan model Problem Based Learning (PBL) berbasis STEM pada materi fungsi dan grafik. Penelitian menggunakan pendekatan kuantitatif dengan desain quasi experiment tipe one-group pretest-posttest design. Sampel penelitian terdiri atas 31 siswa kelas X SMA Negeri 1 Percut Sei Tuan yang dipilih menggunakan teknik purposive sampling. Pengumpulan data dilakukan melalui tes kemampuan representasi matematis, observasi, wawancara, dan dokumentasi. Hasil penelitian menunjukkan adanya peningkatan kemampuan representasi matematis siswa, ditunjukkan oleh rata-rata nilai pretest sebesar 2,355 yang meningkat menjadi 3,625 pada posttest. Hasil uji N-Gain memperoleh nilai rata-rata sebesar 0,784 dengan kategori tinggi. Temuan tersebut menunjukkan bahwa model PBL berbasis STEM efektif dalam meningkatkan kemampuan representasi matematis siswa pada materi fungsi dan grafik. Kata Kunci: Problem Based Learning, STEM, Kemampuan Representasi Matematis Abstract This study aimed to analyze the improvement of students’ mathematical representation abilities through the implementation of a STEM-based Problem Based Learning (PBL) model on function and graph material. The study employed a quantitative approach using a quasi-experimental method with a one-group pretest-posttest design. The sample consisted of 31 tenth-grade students at SMA Negeri 1 Percut Sei Tuan selected through purposive sampling. Data were collected through mathematical representation ability tests, observations, interviews, and documentation. The results indicated an improvement in students’ mathematical representation abilities, as shown by the increase in the average pretest score from 2.355 to 3.625 in the posttest. Furthermore, the N-Gain test result showed an average score of 0.784, categorized as high. These findings indicate that the STEM-based PBL model is effective in improving students’ mathematical representation abilities in function and graph material. Keywords: Problem Based Learning, STEM, Mathematical Representation Ability
Kemampuan Berpikir Kritis Siswa dalam Pembelajaran Berdasarkan Masalah Terintegrasi STEM pada Materi Aritmatika Sosial Elsa Noviyanti Br Sinaga; Rizky Ananda; Lukman Hakim Laia; Hany Mory Ferbiona Br Purba; Naomi Tirta Bertua Serepina Tobing; Anggi Wandini; Putri Aprilisia Simbolon; Maigani Maigani; Michael Christian Simanullang; Bornok Sinaga
Jurnal Cendekia : Jurnal Pendidikan Matematika Vol 10 No 2 (2026): Jurnal Cendekia: Jurnal Pendidikan Matematika Volume 10 Nomor 2 Tahun 2026
Publisher : Mathematics Education Study Program

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/cendekia.v10i2.5087

Abstract

Penelitian ini bertujuan untuk melihat peningkatan kemampuan berpikir kritis siswa melalui penerapanpembelajaran berbasis masalah (Problem Based Learning) terintegrasi STEM pada materi aritmatika sosial.Penelitian menggunakan pendekatan deskriptif kuantitatif yang dilaksanakan di UPT SMP Negeri 27 Medandengan subjek siswa kelas VII-5. Instrumen penelitian berupa soal pretest dan posttest yang disusun berdasarkanenam indikator kemampuan berpikir kritis menurut Facione, yaitu interpretasi, analisis, inferensi, evaluasi,eksplanasi, dan regulasi diri. Selain itu, penelitian juga mengembangkan perangkat pembelajaran berupa materiberbasis masalah, LKPD terintegrasi STEM, serta media berbasis web HTML “Simulator Aritmatika Sosial”.Validitas instrumen dianalisis menggunakan indeks Aiken’s V dan memperoleh kategori valid pada seluruh aspekpenilaian. Hasil penelitian menunjukkan bahwa kemampuan berpikir kritis siswa pada kondisi awal berada padakategori rendah dengan persentase keseluruhan sebesar 58,65%. Setelah penerapan pembelajaran berbasis masalahterintegrasi STEM, terjadi peningkatan pada seluruh indikator kemampuan berpikir kritis. Indikator interpretasimencapai 61,2% dan inferensi mencapai 60,42% dengan kategori sedang, sedangkan indikator lainnya berada padakategori rendah namun tetap mengalami peningkatan dibanding kondisi awal. Hasil penelitian menunjukkanbahwa pembelajaran berbasis masalah terintegrasi STEM memberikan dampak positif terhadap kemampuanberpikir kritis siswa karena mampu mendorong keterlibatan aktif siswa dalam menganalisis, mengevaluasi, danmenyelesaikan masalah kontekstual secara kolaboratif dan bermakna.
Development of Mathematics learning tools through Realistic Mathematics Education (RME) to enhance spatial ability Fince Putri Yeni Purba; Bornok Sinaga; Fauziyah Harahap
Inovasi Kurikulum Vol. 22 No. 4 (2025): Inovasi Kurikulum, November 2025
Publisher : Himpunan Pengembang Kurikulum Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64014/jik.v22i4.110

Abstract

This study aims to develop mathematics learning tools based on Realistic Mathematics Education (RME) to improve elementary school students’ spatial ability. The research was conducted in response to students’ low spatial skills, primarily caused by the dominance of conventional teaching methods, limited use of contextual media, and the absence of systematically integrated learning tools using the RME approach. The development procedure used a modified ADDIE model consisting of three main stages: analyze, design, and develop. The research subjects included fourth-grade students and mathematics teachers at SDN 102083 Pabatu. The instruments involved expert validation questionnaires, student response questionnaires, spatial ability tests, and observation sheets for lesson implementation. The results showed that the developed learning tools were deemed valid by material experts, media experts, and teachers. The high level of lesson implementation and positive responses from both students and teachers confirmed practicality. Effectiveness was evidenced by the improvement in pretest and posttest scores, with a normalized gain score of 0.651 and a classical mastery percentage of 88 percent. These findings suggest that RME-based learning tools are effective in enhancing students’ spatial abilities in Mathematics.   Abstrak Penelitian ini bertujuan untuk mengembangkan perangkat pembelajaran Matematika berbasis Realistic Mathematics Education (RME) guna meningkatkan kemampuan spasial murid sekolah dasar. Latar belakang penelitian ini adalah rendahnya kemampuan spasial murid yang disebabkan oleh dominasi metode pembelajaran konvensional, penggunaan media yang kurang kontekstual, serta belum tersedianya perangkat ajar yang mengintegrasikan pendekatan RME secara sistematis dan menyeluruh. Prosedur pengembangan menggunakan model ADDIE yang dimodifikasi menjadi tiga tahap utama, yaitu analyze, design, dan develop. Subjek penelitian meliputi murid kelas IV SDN 102083 Pabatu dan guru mata pelajaran Matematika. Instrumen yang digunakan mencakup angket validasi, angket respon, tes kemampuan spasial, dan lembar observasi keterlaksanaan. Hasil penelitian menunjukkan bahwa perangkat pembelajaran yang dikembangkan dinyatakan valid berdasarkan penilaian ahli materi, ahli media, dan guru. Perangkat juga tergolong praktis karena keterlaksanaan pembelajaran mencapai kategori baik dan memperoleh respon positif dari guru dan murid. Keefektifan perangkat dibuktikan melalui peningkatan nilai pretest dan posttest, dengan skor N-Gain sebesar 0,651 dan persentase ketuntasan klasikal sebesar 88%. Hasil tersebut menunjukkan bahwa perangkat pembelajaran berbasis RME efektif dalam meningkatkan kemampuan spasial murid sekolah dasar.Kata Kunci: kemampuan spasial; perangkat pembelajaran; Realistic Mathematics Education; RME; sekolah dasar
Analysis of creative thinking ability in implementing the PBM-B3 Model Monalisa Sinaga; Bornok Sinaga; Waminton Rajagukguk
Inovasi Kurikulum Vol. 22 No. 1 (2025): Inovasi Kurikulum, February 2025
Publisher : Himpunan Pengembang Kurikulum Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17509/jik.v22i1.73719

Abstract

Indonesian students' low creative thinking ability at both international and national levels highlights the need for further efforts to improve the quality of mathematics education in Indonesia. This research aims to describe the level of students' mathematical creative thinking abilities and students' difficulties in completing students' mathematical creative thinking ability tests after implementing the Batak Culture Problem-Based Mathematics Learning model (PBM-B3). This research is a qualitative descriptive research. The subjects of this research were fourth-grade students at SD Negeri 030280 Sidikalang. In contrast, the object of this research was the ability to think creatively in mathematics in applying the PBM-B3 model. The research results indicate that students' mathematical creative thinking abilities improved after implementing the PBM-B3 model compared to conventional methods. Most students fall into the medium category, while very high, high, and low categories represent smaller percentages. Indicator analysis shows fluency in the high category, flexibility and elaboration in the medium category, and originality in the low category. Students in the very high category excelled across all indicators. In contrast, those in the high category faced difficulties with principles, while those in the medium and low categories struggled with principles and procedures.   Abstrak Rendahnya kemampuan berpikir kreatif peserta didik Indonesia di tingkat internasional maupun nasional menyoroti perlunya upaya lebih lanjut dalam meningkatkan kualitas pendidikan Matematika di Indonesia. Penelitian ini bertujuan untuk mendeskripsikan tingkat kemampuan berpikir kreatif matematis peserta didik dan kesulitan peserta didik dalam menyelesaikan tes kemampuan berpikir kreatif matematis peserta didik setelah pelaksanaan model Pembelajaran Matematika Berdasarkan Masalah Berbasis Budaya Batak (PBM-B3). Penelitian ini merupakan penelitian deskriptif kualitatif. Subjek penelitian ini adalah peserta didik kelas IV SD Negeri 030280 Sidikalang, sedangkan objek dalam penelitian ini adalah kemampuan berpikir kreatif matematis dalam penerapan model PBM-B3. Hasil penelitian menunjukkan bahwa kemampuan berpikir kreatif matematis peserta didik meningkat setelah penerapan model PBM-B3 dibandingkan pembelajaran konvensional. Sebagian besar peserta didik berada pada kategori sedang, sementara kategori sangat tinggi, tinggi, dan rendah memiliki persentase yang lebih kecil. Analisis indikator menunjukkan kelancaran berada pada kategori tinggi, fleksibilitas dan elaborasi di kategori sedang, serta orisinalitas di kategori rendah. Peserta didik kategori sangat tinggi unggul dalam semua indikator, sedangkan kategori tinggi mengalami kesulitan pada prinsip, dan kategori sedang serta rendah mengalami kesulitan pada prinsip dan prosedur. Kata Kunci: budaya Batak; kemampuan berpikir kreatif; PBM-B3; pembelajaran Matematika berbasis masalah
Developing Differentiated Learning Tools Based on Learning Styles and Multiple Intelligences to Improve Mathematical Computational Thinking Skills and High School Students' Motivation Nurul Azmi; Bornok Sinaga; Hermawan Syahputra
Daya Matematis: Jurnal Inovasi Pendidikan Matematika Vol 14, No 2 (2026): Juli
Publisher : Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26858/jdm.v14i2.88271

Abstract

The purpose of this study is to analyze the validity, practicality, and effectiveness of differentiated learning devices for improving mathematical computational thinking skills and motivation of high school students. To determine the improvement in mathematical computational thinking skills and motivation of high school students in using differentiated learning devices, reviewed from learning styles and multiple intelligences. This research method is Research & Development. The development model used is the 4D model., four researches of SMA Swasta Pembangunan. The time of this research will be carried out in the 2025/2026 academic year. The population in this study is all grade X students of SMA Swasta Pembangunan, while the sample in this study is class X-1 of 30 students. The results of this study are; 1. The validity of the differentiated learning device reviewed from the learning styles and multiple intelligences that have been developed is in the "valid" category, 2. The differentiated learning device reviewed from the learning styles and multiple intelligences that have been developed has met the criteria for the practicality of the learning device, 3. The differentiated learning device reviewed from the learning styles and multiple intelligences that have been developed has met the criteria for the effectiveness of the learning device. This can be seen from the completeness of students' mathematical computational thinking abilities in the first trial, classical completeness from the results of students' mathematical computational thinking abilities was 56% (18 students) and in the second trial it was 87% (26 students). 4. Students' mathematical computational thinking abilities using the differentiated learning device reviewed from the learning styles and multiple intelligences that have been developed have increased.
Co-Authors Abil Mansyur, Abil Afny Arti Sinaga Ahmad Rifai Siregar Ajizah Siregar Anggi Wandini Ani Minarni Anisa Rahmadani Siregar Annisyah Lubis Asmin Asmin Asmin Asmin Baihaqi Siddik Lubis Chairunnisa Chairunnisa Christa Voni Sinaga Derlina Nst Derma Sarah Tia Wanka Purba Diah Ari Saputri Dian Armanto Diana Sister Dwi Ardy Dermawan E. Elvis Napitupulu Edi Syahputra Edi Syahputra Edy Surya Elkana Indah Sari Pakpahan Elsa Noviyanti Br Sinaga Elvis Napitupulu Endang Hutauruk Erika Simangunsong Fauziyah Harahap Fernanda Yossi Ben Siallagan Fince Putri Yeni Purba Hairunnisah Tanjung Hany Mory Ferbiona Br Purba Hasratuddin Siregar Helina Qatrunnada Nasution Hermawan Syahputra Indah Purnama Sari Ismail Hanif Batubara Ismail Ismail Iwan Jepri Khairatun Nisa Rambe Kholilah Amriani Harahap Lasker Pangarapan Sinaga Lidia Saminer Pakpahan Lisda Karolin Br Barus Lukman Hakim Laia Maigani Maigani Mara Bangun Harahap Maryetta Evi Hariati Michael Christian Simanullang Miftahul Jannah Monalisa Sinaga Muhammad Ishak Mukhtar Mukhtar mulyono mulyono Mulyono Mulyono Naomi Tirta Bertua Serepina Tobing Natalia Kristiani Lase Nazwa Mutia Syafitri Nindy Litia Nuraini . Nurdiana Fahmi Nurliyah Nasution Nurliza Fahmi Nurliza Fahmi Lubis Nurul Azmi Nurvita Nurvita Pardomuan Sitompul Pargaulan Siagian Pertiwi Puji Lestari Philips Pasca G Siagian Pratiwi Bernadetta P. Putri Andini Putri Aprilisia Simbolon Qory Septiani Arsandy Arsandy Randi Tampubolon Ratu N. Perangin-angin Regina Sabariah Sinaga Retno Dwi Suyanti Riadi Riadi Rike Ahmadi Rina Ardillah Lubis Rizka Nurlina Damanik Rizki Nurjehan Rizky Ananda Rosalinda Pasaribu Rusmin Sianipar Sahat Saragih Sahyar Sahyar Santi Maria Simarmata Simanjorang, Mangaratua M Sriadhi Sriadhi Wamington Rajagukguk Wamington Rajagukguk Waminton Rajagukguk Yulinar Lumban Gaol Zul Fahmi Siregar zulfantry zulfantry