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Analisis Pengaruh Model Pembelajaran Discovery Learning dengan Pendekatan Deep Learning Terhadap Kemampuan Pemahaman Konsep dan Penalaran Matematis Siswa Pada Materi SPLTV manalu, vriti sinta; Simanjuntak, Ruth Mayasari; Sihombing, Dame Ifa
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27446

Abstract

This study aims to analyze the effect of the Discovery Learning model with a Deep Learning approach on students' conceptual understanding and mathematical reasoning abilities on the topic of Three Variable Linear Equation Systems (SPLTV) in grade X of SMA Negeri 17 Medan in the 2025/2026 academic year. This study used a quantitative approach with a quasi-experimental design. The sample consisted of class X-4 as the experimental class and class X-6 as the control class selected through cluster random sampling. Data were collected using tests, questionnaires, and observation sheets. The data were analyzed using descriptive and inferential analysis. The results showed that the Discovery Learning model with a Deep Learning approach had a significant effect on students' conceptual understanding and mathematical reasoning abilities with a significance value 0.05. In addition, students taught using this model showed better conceptual understanding than those taught using conventional learning. The implementation of this model also increased students' active participation in mathematics learning.
Efektivitas Pembelajaran Berbasis Masalah terhadap Kemampuan Berpikir Kritis dan Literasi Matematis pada Materi Barisan dan Deret Aritmatika kelas X SMK Telkom 1 Medan T.A 2025/2026. gultom, eva meliana; Tambunan, Hardi; Simanjuntak, Ruth Mayasari
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27466

Abstract

This quantitative study, employing a one-shot case study design, evaluates the effectiveness of problem-based learning (PBL) on students’ critical thinking skills and mathematical literacy in the topic of arithmetic sequences and series for 10th-grade students at SMK Telkom 1 Medan during the 2025/2026 academic year. The sample was randomly selected from two classes (X RPL 1 and X RPL 2) out of a total population of five classes. Data were collected through tests, questionnaires, and observations that had been validated for validity and reliability, then analyzed descriptively using frequency distribution tables and criteria for the achievement of learning objectives. The results showed that all indicators of effectiveness namely, the systematic nature of instruction, teacher communication, student responses, student activities, and the achievement of learning objectives were met. Thus, the PBM was deemed effective in improving critical thinking skills and mathematical literacy in the subject matter, with the level of effectiveness falling into the high category.
Pengaruh Model Pembelajaran Problem Based Learning (PBL) Terhadap Kemampuan Pemecahan Masalah Matematis dan Motivasi Belajar Siswa pada Materi SPLTV di Kelas X Tambunan, Lisna; Simanjuntak, Ruth Mayasari; Suarman, Adi
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27461

Abstract

This study aims to analyze the effect of the Problem Based Learning (PBL) learning model on mathematical problem-solving ability and student learning motivation on the Three Variable Linear Equation System (SPLTV) material in class X of SMK Swasta Budi Setia Sunggal Academic Year 2025/2026. This study uses a quantitative approach with a quasi-experimental study design in the form of a posttest-only control group design. The population of this study was all students of class X of SMK Swasta Budi Setia Sunggal consisting of 5 classes. The sample was determined using a purposive sampling technique. The research instruments used were tests, questionnaires, and observation sheets which were tested for validity, reliability, difficulty level, and discriminating power first. Post-test data were analyzed using normality tests, homogeneity tests, t-tests, and effect size. The results showed that the average post-test problem-solving ability in the experimental class reached 51.53 higher than the control class which reached 44.07. Meanwhile, the average post-test results of learning motivation in the experimental class reached 56.53, higher than the control class which reached 50.37. The results of the study showed that there was a significant influence between students' mathematical problem-solving abilities between the experimental class and the control class with a significant value of 0.001 0.05. In addition, there was no significant influence on students' learning motivation between the experimental class and the control class with a significant value of 0.191 0.05. Thus, it can be concluded that the use of the problem-based learning model has a significant effect on problem-solving abilities, while there is no significant influence on learning motivation.
Efektivitas Pembelajaran Berbasis Masalah Terhadap Pemahaman Konsep dan Kemampuan Berpikir Tingkat Tinggi Siswa Pada Materi Fungsi Kuadrat di Kelas X SMK Swasta Parulian 1 Medan T.A 2025/2026 simarmata, eunike claudia; Tambunan, Hardi; Simanjuntak, Ruth Mayasari
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27465

Abstract

This study aims to determine the effectiveness of problem-based learning on students’ conceptual understanding and higher-order thinking skills regarding quadratic functions among 10th-grade students at Parulian 1 Private Vocational High School in Medan during the 2025/2026 academic year. This is a quantitative study using a descriptive approach. The population in this study consists of all 10th-grade students, while the sample comprises Class X-TKJ and X-AP, selected through purposive random sampling. The instruments used include essay tests, questionnaires, and observation sheets, all of which have been validated for validity and reliability. The results of the study indicate that problem-based learning is effective in improving students’ conceptual understanding of mathematics and higher-order thinking skills, with a level of effectiveness falling into the moderate category.
The Parhalaan of the Batak Ugamo Malim in the arithmetic context Ruth Mayasari Simanjuntak; Agusmanto JB Hutauruk; Efron Manik
AXIOM : Jurnal Pendidikan dan Matematika Vol 13, No 2 (2024)
Publisher : State Islamic University of North Sumatra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30821/axiom.v13i2.22118

Abstract

The implementation of ethnomathematics approaches that connect culture and mathematics education remains limited, despite the need to bridge mathematical concepts with real-world applications rooted in local culture. The Batak Parhalaan calendar, which incorporates arithmetic computations, has not been extensively explored within mathematics education. Prior studies often focus broadly on ethnomathematics without delving into specific cultural contexts, such as traditional calendars and their relevance to learning mathematics. This study addresses this gap by investigating how the Parhalaan calendar can be integrated into mathematics instruction to enhance students' understanding of mathematical concepts. Employing a qualitative descriptive approach, this research examines the Batak Ugamo Malim tribe's calendar system, calculates Parhalaan in relation to arithmetic, and analyzes it from a mathematical perspective. The results reveal the application of modulo arithmetic in Parhalaan, specifically the modulo 7 system, which reflects the 7-day week structure. Results reveal the application of modulo arithmetic in Parhalaan, specifically the modulo 7 system, reflecting the 7-day week structure. The formula X+Y−Z=S mod 7 harmonizes the traditional Batak calendar with the Gregorian system, providing a systematic method for determining days. Integrating this concept into mathematics education strengthens problem-solving, logical reasoning, and interdisciplinary understanding. Linking mathematics with cultural traditions fosters appreciation for local heritage, broadens perspectives, and raises awareness about preserving cultural diversity, thereby enriching the educational experience for students.
DEVELOPMENT OF MATHEMATICS MODULE BASED ON THE PROBLEM SOLVING STRATEGY TO MEASURE HIGH ORDER THINKING ABILITY OF STUDENTS Ruth Mayasari Simanjuntak; Dame Ifa Sihombing
AXIOM : Jurnal Pendidikan dan Matematika Vol 11, No 1 (2022)
Publisher : State Islamic University of North Sumatra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30821/axiom.v11i1.11449

Abstract

Penelitian ini merupakan penelitian pengembangan yang bertujuan untuk mengetahui proses pengembangan bahan ajar matematika berbasis strategi problem solving pada pokok bahasan bilangan berpangkat dan bentuk akar kelas IX SMP. Jenis penelitian yang digunakan adalah penelitian Research & Development (R&D). Subjek penelitian adalah siswa kelas IX SMPN 3 Percut Sei Tuan. Berdasarkan hasil pengembangan modul diperoleh modul yang valid, praktis, efektif, dan dapat mengukur kemampuan tingkat tinggi peserta didik. (1) Valid, Hasil validasi dari para ahli menyatakan bahwa nilai rata-rata aspek modul barbasis strategi problem solving pada materi bilangan berpangkat dan bentuk akar adalah 3,57. (2) Praktis, berdasarkan hasil uji coba skala besar/ lapangan mendapat nilai N 73,380 dengan kriteria Praktis. (3) Efektif, hasil uji keefektifan yang dilakukan saat uji coba lapangan 17 peserta didik yang tuntas dan 7 peserta didik yang tidak tuntas dalam mengerjakan soal. Uji efektifitas peserta didik yang dilakukan diketahui bahwa presentasi ketuntasan mendapat hasil hingga 70,83 % dengan kriteria efektif. (4) Kemampuan berpikir tingkat tinggi pada sampel sebesar 61,17% dengan kriteria baik. Dari data tersebut menunjukkan bahan ajar pembelajaran layak digunakan berdasarkan respon pendidik dan keefektifan yang dilakukan oleh peserta didik maka pengembangan modul matematika layak digunakan di sekolah. Keunggulan modul ini adalah lebih efisien, efektif dan terjadi pemerataan pemahaman terhadap materi yang disampaikan.AbstractThis is development research that aims to determine the process of developing mathematics teaching materials based on problem-solving strategies on the subject of numbers with exponents and root forms for the ninth-grade students of junior high school. This study follows a Research & Development (R&D) research type. The research subjects were the ninth-grade students of SMPN 3 Percut Sei Tuan. Based on the results of the module development, a module that is valid, practical, effective, and can measure the high-level abilities of students is considered as follows. (1) Valid, the results of the validation from the experts stated that the average value of the aspect of the problem-solving strategy-based module on the matter of numbers with exponents and root forms was 3.57. (2) Practical, based on the results of large-scale/field trials, the score is N 73,380 with Practical criteria. (3) Effective, the results of the effectiveness test conducted during the field trial were 17 students who were successful and 7 students who were not successful in completing the questions. The effectiveness test was known based on the percentage of learning mastery up to 70.83% with effective criteria. (4) Higher order thinking ability in the sample is 61.17% with good criteria. Based on these data, it reveals that teaching and learning materials are suitable based on the response of educators and the effectiveness of the students. Thus, the development of the mathematics module is appropriate to be used at schools. The advantages of this module are that it is more efficient and effective and there is an equal understanding of the material presented.
Konsep Bangun Datar dalam Mencapai Keberhasilan Evaluasi Pembelajaran di SMP Negeri 2 Sunggal Revol Alex Sibarani; Ayunasari Manalu; Tutiarny Naibaho; Ruth Mayasari Simanjuntak
Jurnal Diferensiasi Pendidikan Vol 2 No 1 (2025): Edisi Juli 2025
Publisher : Fakultas Keguruan Ilmu Pendidikan Universitas HKBP Nommensen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36655/jdp.v2i1.1910

Abstract

This research aims to determine the influence of pre-tests and post-tests on the mathematics learning outcomes of seventh-grade students at SMP Negeri 2 Sunggal. The research adopts an experimental research method, and the obtained data is in the form of primary data. The results obtained from this research are as follows: (1) the learning outcomes of students who were given pre-tests and post-tests are higher than those of students who learned through conventional methods (without pre-tests and post-tests). Students who underwent pre-tests and post-tests had an average score of 80.65, which is higher than students who learned through conventional methods (78.05). (2) There is an influence of providing pre-tests and post-tests on the mathematics learning outcomes of students at SMP Negeri 2 Sunggal.
Kajian Literatur Etnomatematika Kalabubu: Perspektif Deep Learning dalam Teori Pembelajaran Bermakna David Ausubel: Penelitian Syahrani; Sutomo Gultom; Hardi Tambunan; Ruth Mayasari Simanjuntak; Efron Manik
Jurnal Pustaka Cendekia Pendidikan Vol. 4 No. 1 (2026): Jurnal Pustaka Cendekia Pendidikan, Volume 4 Nomor 1, Mei - Agustus 2026
Publisher : PT PUSTAKA CENDEKIA GROUP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70292/jpcp.v4i1.626

Abstract

Pembelajaran matematika di sekolah masih sering terasa abstrak dan kurang relevan bagi siswa karena minim keterkaitan dengan konteks kehidupan dan budaya mereka sehari-hari. Padahal, mengintegrasikan budaya lokal ke dalam pembelajaran matematika dapat menjadikan konsep-konsep abstrak lebih konkret dan mudah dipahami. Etnomatematika hadir sebagai pendekatan yang menjembatani konsep matematika formal dengan praktik budaya masyarakat, salah satunya melalui Kalabubu, kalung tradisional khas Nias Selatan yang menyimpan potensi matematis pada susunan, bentuk, dan polanya. Penelitian ini bertujuan untuk mengkaji konsep-konsep matematika yang terkandung dalam Kalabubu, menganalisis relevansinya terhadap pendekatan pembelajaran mendalam (Deep Learning), serta menginterpretasikan keterkaitannya dengan teori pembelajaran bermakna David Ausubel. Penelitian ini menggunakan metode kajian literatur dengan pendekatan deskriptif-kualitatif, yaitu menelaah dan menganalisis berbagai sumber ilmiah yang relevan dengan etnomatematika, Kalabubu, Deep Learning, dan teori Ausubel. Hasil kajian menunjukkan bahwa Kalabubu mengandung konsep geometri, pola, simetri, pengukuran, dan transformasi yang berpotensi dimanfaatkan sebagai sumber belajar matematika kontekstual. Selain itu, konteks budaya Kalabubu dapat berfungsi sebagai advance organizer yang menjembatani pengetahuan awal siswa dengan konsep matematika baru, sejalan dengan prinsip pembelajaran bermakna Ausubel. Pembelajaran matematika berbasis budaya semacam ini terbukti mendukung pemahaman konseptual yang lebih mendalam sekaligus menumbuhkan kemampuan berpikir kritis siswa, sehingga relevan dengan semangat pendekatan Deep Learning dalam kurikulum pendidikan saat ini.
Pengembangan Modul Berbasis Proyek Melalui Eksplorasi Budaya Makanan Tradisional Tionghoa Kue Keranjang pada Materi Bangun Ruang Tabung dalam Meningkatkan PemahamanKonsep Siswa SMP Griffit Spanyer. I. Nababan; Hardi Tambunan; Ruth Mayasari Simanjuntak
Didaktik : Jurnal Ilmiah PGSD STKIP Subang Vol. 12 No. 03 (2026): Volume 12 No. 3, September 2026 Public
Publisher : STKIP Subang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36989/didaktik.v12i03.18458

Abstract

This study aims to develop a Project-Based Learning (PjBL) module integrated with ethnomathematics by utilizing Nian Gao (Chinese New Year cake) as a cultural artifact representing the geometric concept of a cylinder to enhance junior high school students’ conceptual understanding of solid geometry. The study employed a Research and Development (R&D) approach using the ADDIE model, which consists of five stages: Analysis, Design, Development, Implementation, and Evaluation. The participants were junior high school students in Kelapa Gading, North Jakarta, Indonesia. Data were collected through expert validation sheets, student response questionnaires, classroom observations, interviews, and pre-test and post-test assessments. The data were analyzed using descriptive qualitative and quantitative methods based on mean scores and percentage analysis. The results revealed that the developed learning module obtained an average expert validation score of 4.56, indicating that it was highly feasible for classroom implementation. The implementation of the PjBL module actively engaged students in observing, measuring, and identifying the geometric elements of a cylinder through hands-on exploration of Nian Gao. This contextual learning approach significantly improved students’ conceptual understanding of solid geometry, enhanced their learning engagement and spatial reasoning, and encouraged meaningful learning experiences. Furthermore, integrating ethnomathematics into mathematics instruction fostered students’ appreciation of Chinese Indonesian cultural heritage, thereby supporting both mathematics learning and character education. Therefore, the developed ethnomathematics-based PjBL module is an effective and feasible instructional resource for promoting meaningful, contextual, and culturally responsive mathematics learning.
PENGEMBANGAN MODUL PEMBELAJARAN BERBASIS PROYEK MELALUI EKSPLORASI ORNAMEN RUMAH ADAT MELAYU RIAU TERHADAP KONSEP GEOMETRI PADA MATERI BANGUN DATAR Grestina Saragih; Hardi Tambunan; Ruth Mayasari Simanjuntak
Didaktik : Jurnal Ilmiah PGSD STKIP Subang Vol. 12 No. 03 (2026): Volume 12 No. 3, September 2026 Public
Publisher : STKIP Subang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36989/didaktik.v12i03.18308

Abstract

Mathematics learning at the elementary school level often faces obstacles in visualizing abstract concepts, especially in the material of plane figures. Students tend to have difficulty in connecting theoretical concepts with real objects in the surrounding environment. This study aims to develop a project-based learning module by integrating an ethnomathematics approach through the exploration of Riau Malay Traditional House ornaments. The use of traditional ornaments was chosen as a contextual medium because it is full of unique and authentic geometric patterns. The research method used is Research and Development (R&D) using the ADDIE development model which includes the stages of Analysis, Design, Development, Implementation, and Evaluation. Data collection was carried out through observations of traditional house ornaments, in-depth interviews with cultural experts and craftsmen, and validation by material and media experts before being implemented to 3rd grade elementary school students. The results of the study indicate that Riau Malay Traditional House ornaments, such as the Pucuk Rebung and Itik Pulang Petang motifs, contain very rich principles of plane geometry, including an understanding of triangles, trapezoids, parallelograms, and the concept of symmetry. The developed module has met high validity and practicality criteria. Furthermore, findings from the implementation phase indicate that students' active involvement in this cultural exploration project successfully increased their learning interest, facilitated their understanding of geometric concepts, and enhanced their spatial reasoning skills. Furthermore, this study demonstrates that the integration of local wisdom into the mathematics curriculum is not only effective as a pedagogical tool but also plays a crucial role in fostering students' love and pride for the identity and cultural heritage of Riau Malays from an early age
Co-Authors Adi Suarman Situmorang, Adi Suarman Advendi Hot Asi Hutasoit Agusmanto Hutahuruk Agusmanto Hutauruk Agusmanto J.B. Hutauruk Agusmato Hutauruk Alianus Zalukhu Alianus Zalukhu Ambarita, Venti Br Anita Sabrina Pasaribu Ayunasari Manalu br Tarigan, Feber Magdalena Bung Heri Parhusip Christina Sitepu dame ifa sihombing Dapot Marito Sianturi Dedi Presli Halawa Depari, Victory Derman Buulolo Desi Sonia Petlin Nainggolan Diana Gultom Doni Berkat Tabah Hulu Doni Berkat Tabah Hulu Elva Rodearna Sidabutar Enda Gloria NM Banurea Eva Lestari Simanjorang Firman Pangaribuan Fitri Andriyani Tarigan Folala Telaumbanua Folala Telaumbanua Francius Sipayung Grestina Saragih Griffit Spanyer. I. Nababan Gultom, Darma Indra gultom, eva meliana Hanum, Faradilla Hardi Tambunan Hardi Tambunan Herman . Hia, Lutemaria Hotmian Sagala Hutahuruk, Agusmanto Jernyta Futri Agustina Hutapea Jonas Ramza Sitinjak Laia, Yunus Lena Rosdiana Pangaribuan Lumban Toruan, Nia Natasha Magdalena Susanti Telaumbanua Magdalena Susanti Telaumbanua manalu, vriti sinta Manao, Maria Martha Manik, Efron Marito Silalahi, Titi Kamal Monica Simanjuntak Nesti Surya Astuti Zebua Nesti Surya Astuti Zebua Nurfatanah, Nurfatanah Oslen Parulian Sijabat Panggabean, Marissa Nurianna Putri, Nuryosianna Rakhmawati, Fibri Rani Farida Sinaga Renita Br Peranginangin Revol Alex Sibarani Rina Filia Sari Riri Syafitri Lubis Ritonga, Nora Winda Robin Tarigan Rospita Hutasoit Samuel Juliardi Sinaga Santa Veronika Sitepu Sauduran, Golda Novatrasio Sihite, Agustina C B Sihite, Epiphanias Br. sihombing, dame ifa Sihombing, Heldon Silangit, Menna Sri Ulina Simamora, Rona Marisa Simanjuntak, Lidia Ristin Simanjuntak, Meissy Adelina Simanullang, Dinda S. Simarmata, Eunike Claudia Simbolon, Lolyta Damora Simon M Panjaitan Simon Panjaitan Sinaga, Rianda sinaga, samuel juliardi Sitepu, Edi Petra Situmorang, Dina Evelin Suarman, Adi Suria Asia Sihotang Sutomo Gultom Syahrani Sylvia T.L. br Sianturi Tambunan, Hardi Tambunan, Lisna Telaumbanua, Folala Titi Kamal Marito Silalahi Togatorop, Fresty Handayani Tutiarni Naibaho Tutiarny Naibaho Tuty Novelinda Purba Wita Sinaga Yunita Pera Siregar Zebua, Berliance Zamira