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All Journal Ndrumi : Jurnal Ilmu Pendidikan dan Humaniora AFORE: Jurnal Pendidikan Matematika
Hardi Tambunan
Universitas HKBP Nomensen, Indonesia
Agriculture, Biological Sciences & Forestry Arts Economics, Econometrics & Finance Education Languange, Linguistic, Communication & Media Mathematics

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PENGEMBANGAN BAHAN AJAR BERNUANSA ALAT MUSIK TRADISIONAL GAMELAN JAWA PADA MATERI LINGKARAN UNTUK MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIS DENGAN MODEL PROBLEM BASED LEARNING Rianda Sinaga; Hardi Tambunan; Firman Pangaribuan
Ndrumi : Jurnal Ilmu Pendidikan dan Humaniora Vol 9 No 1 (2026): Ndrumi : Jurnal Ilmu Pendidikan dan Humaniora
Publisher : LPPM Universitas Nias Raya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57094/ndrumi.v9i1.4570

Abstract

This study aims to develop mathematics teaching materials incorporating the traditional Javanese gamelan cultural context in the topic of circles to improve students’ mathematical problem-solving skills through the Problem Based Learning (PBL) model. The research employed a Research and Development (R&D) approach using the ADDIE development model, which consists of analysis, design, development, implementation, and evaluation stages. The research subjects included eighth-grade junior high school students, mathematics teachers, and instructional design and content experts. Data were collected using expert validation sheets, teacher and student response questionnaires, classroom observation sheets, and mathematical problem-solving ability tests. The data were analyzed using qualitative and quantitative descriptive techniques, including N-Gain analysis to measure improvements in students’ problem-solving abilities. The results indicate that the developed teaching materials are valid and practical for classroom use. Furthermore, the implementation of gamelan-based teaching materials integrated with the PBL model was proven effective in enhancing students’ mathematical problem-solving skills in circle topics. The integration of local cultural contexts into mathematics learning increases student engagement, strengthens conceptual understanding, and creates meaningful and contextual learning experiences. Therefore, the developed teaching materials are suitable as an innovative alternative for mathematics instruction at the junior high school level.
PEMBELAJARAN BERBASIS PROYEK TERHADAP KEMAMPUAN PEMAHAMAN KONSEP SISWA PADA MATERI BANGUN DATAR DI SD Averlin Kristiani Lahagu; Hardi Tambunan; Firman Pangaribuan
Afore : Jurnal Pendidikan Matematika Vol 5 No 1 (2026): Afore : Jurnal Pendidikan Matematika
Publisher : Universitas Nias Raya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57094/afore.v5i1.4556

Abstract

This study aimed to determine the effect of project-based learning on students’ conceptual understanding of plane geometry at Bintang Laut Private Elementary School, Telukdalam. The study employed a quantitative approach using a quasi-experimental method. The research subjects were fifth-grade students divided into an experimental group and a control group. The experimental group was taught using the project-based learning model, while the control group received conventional instruction. The research instrument was a conceptual understanding test on plane geometry administered before and after the treatment (pretest and posttest). The collected data were analyzed using descriptive and inferential statistics to identify differences in students’ conceptual understanding. The results revealed a significant improvement in students’ conceptual understanding in the experimental group after the implementation of project-based learning compared to the control group. Students taught through project-based learning demonstrated better abilities in understanding the properties of plane figures, applying formulas for area and perimeter, and relating mathematical concepts to real-life situations. These findings indicate that project-based learning is effective in enhancing elementary school students’ conceptual understanding of mathematics. Therefore, project-based learning is recommended as an innovative and contextual instructional strategy in elementary mathematics education.
EKSPLORASI RUMAH ADAT BATAK TOBA TERHADAP KONSEP BANGUN RUANG DI KELAS XII SMA NEGERI 1 GIRSANG SIPANGAN BOLON Purnama Raya Anjelina Situmorang; Hardi Tambunan; Ruth Mayasari Simanjuntak
Afore : Jurnal Pendidikan Matematika Vol 4 No 1 (2025): AFORE : Jurnal Pendidikan Matematika
Publisher : Universitas Nias Raya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57094/afore.v4i1.3119

Abstract

This study aims to explore the integration of the Batak Toba traditional house as a contextual medium in teaching three-dimensional geometric concepts to twelfth-grade students at SMA Negeri 1 Girsang Sipangan Bolon. A qualitative approach was employed to observe how geometric shapes within the architectural structure of the traditional house—such as prisms, pyramids, and rectangular blocks—can be identified and utilized to enhance students’ understanding of spatial geometry. The results indicate that this culturally based learning approach significantly improves students’ conceptual comprehension, creativity, and learning motivation. Students find it easier to associate geometric forms with real-world structures, positively impacting their academic performance. Moreover, this method reinforces local cultural values and promotes active student engagement in the learning process. Teachers play a crucial role in facilitating the connection between mathematical concepts and cultural context. The study recommends further development of local-culture-based instructional media and teacher training to integrate indigenous knowledge into classroom learning. The integration of cultural elements in mathematics education has proven effective in creating meaningful learning experiences and fostering students' cultural identity.
EKSPLORASI ORNAMEN PENGERET RET TERHADAP KONSEP BANGUN DATAR Ribka Zelin Margaretha Sitepu; Hardi Tambunan; Ruth Mayasari Simanjuntak
Afore : Jurnal Pendidikan Matematika Vol 4 No 1 (2025): AFORE : Jurnal Pendidikan Matematika
Publisher : Universitas Nias Raya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57094/afore.v4i1.3197

Abstract

This study aims to explore the relationship between the traditional pengeret-ret ornament and the concept of plane figures from an ethnomathematical perspective. The pengeret-ret ornament, a distinctive motif from the cultural heritage of the Indonesian archipelago, was chosen as the object of study due to its rich visual patterns filled with geometric shapes. This research employs a literature study method with a qualitative-descriptive approach. Data sources include scholarly journals, ethnographic articles, and visual references of relevant traditional motifs. The findings indicate that the pengeret-ret ornament contains elements of plane figures such as triangles, squares, parallelograms, rhombuses, and circles. These patterns are arranged symmetrically and repetitively, reflecting geometric concepts such as translation, reflection, and rotation. In addition to their aesthetic and symbolic value, these ornaments also hold great potential as contextual, culturally based media for teaching geometry. Therefore, this research contributes to the development of ethnomathematics teaching materials as well as the preservation of culture through innovative approaches in mathematics education.
EKSPLORASI FARITIA TERHADAP LINGKARAN Karyenti Merintan Sani Lahagu; Hardi Tambunan; Ruth Mayasari Simanjuntak
Afore : Jurnal Pendidikan Matematika Vol 4 No 1 (2025): AFORE : Jurnal Pendidikan Matematika
Publisher : Universitas Nias Raya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57094/afore.v4i1.3202

Abstract

This study aims to explore the relationship between the traditional musical instrument Faritia from Nias and the concept of the circle in terms of its visual form, rhythmic structure, and social symbolic meaning. Faritia is a metal idiophone shaped like a circle, commonly used in traditional ceremonies such as Mamozi Aramba. The research approach is a literature review, collecting and analyzing various sources on organology theory, Euclidean rhythm, and ethnomusicological studies. The findings indicate that the physical form of Faritia reflects principles of acoustic resonance and symbolic values commonly found in traditional cultures: balance, wholeness, and continuity. The rhythmic patterns produced by Faritia show a tendency towards cyclical beat distribution similar to the concept of Euclidean rhythms. Moreover, in social practice, Faritia is played within circular formations that reinforce collective meaning and community unity. Thus, Faritia functions not only as a traditional musical instrument but also as a multidimensional cultural symbol representing the circle in the physical, musical, and social structures of Nias society.
EFEKTIVITAS MODEL PROJECT-BASED LEARNING TERHADAP PENINGKATAN HASIL BELAJAR MATEMATIKA SISWA PADA MATERI BANGUN RUANG DI SEKOLAH DASAR Midarwati Gaurifa; Hardi Tambunan; Firman Pangaribuan
Afore : Jurnal Pendidikan Matematika Vol 5 No 2 (2026): Afore : Jurnal Pendidikan Matematika
Publisher : Universitas Nias Raya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57094/afore.v5i2.5852

Abstract

This study aims to analyze the implementation of the Project-Based Learning (PjBL) model in improving students' mathematics learning outcomes in three-dimensional geometry at SD Swasta PKMI Telukdalam, Teluk Dalam District, South Nias Regency, Indonesia. This research employs a quantitative approach using a quasi-experimental method involving 15 elementary school students. Data are collected through tests, observations, and documentation. The research instruments consist of pretests and posttests designed to measure students' understanding of three-dimensional geometric concepts. The learning activities involve designing, constructing, and presenting geometric models using simple materials available in the surrounding environment. The collected data are analyzed using descriptive and inferential statistics, as well as the Normalized Gain (N-Gain) formula, to determine improvements in students' learning outcomes. The implementation of PjBL is expected to create a more active, creative, collaborative, and contextual mathematics learning environment. In addition to improving conceptual understanding, this learning model is expected to develop students' critical thinking, creativity, responsibility, and teamwork skills. This study is expected to contribute to the development of innovative, meaningful, and student-centered mathematics learning strategies in elementary education.
Co-Authors Averlin Kristiani Lahagu Firman Pangaribuan Karyenti Merintan Sani Lahagu Midarwati Gaurifa Purnama Raya Anjelina Situmorang Rianda Sinaga Ribka Zelin Margaretha Sitepu Ruth Mayasari Simanjuntak