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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
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.
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 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 Fernanda Yossi Ben Siallagan 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 Muhammad Ishak Sinaga 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 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 Sinaga, Christa Voni Roulina Sriadhi Sriadhi Wamington Rajagukguk Wamington Rajagukguk Waminton Rajagukguk Yulinar Lumban Gaol Zul Fahmi Siregar zulfantry zulfantry