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Nahor Murani Hutapea
Pendidikan Matematika FKIP Universitas Riau
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UPAYA MENINGKATKAN KEMAMPUAN PEMAHAMAN MATEMATIS MELALUI PENDEKATAN REALISTIC MATHEMATICS EDUCATION Chelvy Yoelanda; Maimunah; Nahor Murani Hutapea
Jurnal Ilmiah Matematika Realistik Vol. 7 No. 1 (2026): JURNAL ILMIAH MATEMATIKA REALISTIK
Publisher : Universitas Teknokrat Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33365/ji-mr.v7i1.1590

Abstract

This classroom action research aimed to improve the instructional process and enhance students' mathematical understanding ability through the application of the Realistic Mathematics Education (RME) approach in class XI TKJ 2 of SMK Negeri 1 Pekanbaru. A collaborative classroom action research design was used, conducted over two cycles, each consisting of planning, action, observation, and reflection. The study was carried out in the odd semester of the 2025/2026 academic year on the topics of composite functions, inverse functions, and function transformations. Data were collected through a mathematical understanding test in the form of essay questions and observation sheets documenting teacher and student activities throughout the learning process. The data were analyzed using descriptive and qualitative techniques. The results show that the implementation of the RME approach improved the learning process and increased students' mathematical understanding ability. The improvement in the learning process was indicated by the increasing quality of instruction in line with the stages of the RME approach, as reflected in the observations of teacher and student activities. In addition, the mathematical understanding test results demonstrated a gradual increase between before and after the intervention. This was evidenced by the rise in the number of students in the very high category from 2 to 12, accompanied by a decrease in those in the very low category from 19 to 4. Based on these findings, the RME approach is proven capable of improving the instructional process and enhancing the mathematical understanding ability of class XI TKJ 2 students at SMK Negeri 1 Pekanbaru in the odd semester of the 2025/2026 academic year on the topics of composite functions, inverse functions, and function transformations.
Analisis Kemampuan Berpikir Kritis Siswa Kelas XI TKJ 3 SMK Muhammadiyah 3 Pekanbaru Ummuna Ummuna Rafli; Maimunah Maimunah; Nahor Murani Hutapea
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.v10i2.4911

Abstract

Penelitian ini dilatarbelakangi oleh rendahnya kemampuan berpikir kritis siswa kelas XI TKJ 3 SMK Muhammadiyah 3 Pekanbaru. Hasil tes awal menunjukkan sebagian besar siswa belum mampu melakukan interpretasi, analisis, evaluasi, dan inferensi secara optimal. Kondisi ini disebabkan oleh pembelajaran yang masih berpusat pada guru, penggunaan soal rutin, serta kurangnya keterlibatan aktif siswa dalam proses pembelajaran. Penelitian ini bertujuan untuk memperbaiki proses pembelajaran dan meningkatkan kemampuan berpikir kritis melalui penerapan model Problem Based Learning (PBL). Metode penelitian yag digunakan adalah Penelitian Tindakan Kelas (PTK) kolaboratif yang dilaksanakan dalam dua siklus dengan subjek sebanyak 29 siswa. Instrumen penelitian meliputi lembar observasi aktivitas guru dan siswa serta tes kemampuan berpikir kritis. Data dianalisis secara kuantitatif berdasarkan hasil tes pada setiap indikator berpikir kritis. Hasil penelitian menunjukkan bahwa penerapan model PBL mampu meningkatkan aktivitas siswa dalam pembelajaran, serta berdiskusi, bekerja sama, dan mempresentasikan hasil. Selain itu, kemampuan berpikir kritis siswa mengalami peningkatan, ditandai dngan bertambahnya jumlah siswa pada kualifikasi baik dari 0 pada tes awal menjadi 10 orang pada siklus II, serta tidak adanya siswa pada kualifikasi kurang sekali.
Analisis Kebutuhan Modul Ajar Berbasis Realistic Mathematics Education untuk Meningkatkan Kemampuan Representasi Matematis Peserta Didik Tania Aflah; Maimunah Maimunah; Nahor Murani Hutapea
Media Pendidikan Matematika Vol. 14 No. 1 (2026): J-MPM
Publisher : Program Studi Pendidikan Matematika, FSTT, Universitas Pendidikan Mandalika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/mpm.v14i1.20360

Abstract

Mathematical representation skills are one of the key competencies that students need to possess in mathematics learning. However, various studies indicate that students’ mathematical representation skills remain relatively low, particularly in translating contextual problems into visual, symbolic, or verbal forms. This study aims to analyze the need for the development of teaching modules based on Realistic Mathematics Education (RME) to support students’ mathematical representation skills in the subject matter of linear equations and inequalities with one variable. This study employs a qualitative descriptive approach. The research subjects consist of two mathematics teachers and 32 eighth-grade students at MTs Negeri 1 Bengkalis. Data collection techniques included interviews and tests of mathematical representation skills. Data analysis was conducted through curriculum analysis, content analysis, and analysis of student characteristics. The research findings indicate that teachers have not yet developed teaching modules independently and still rely on learning materials obtained from the internet or colleagues. Additionally, students’ mathematical representation skills remain relatively low, with 31% demonstrating visual skills, 22% symbolic skills, and 47% verbal skills. The research findings indicate that there is a need to develop RME-based teaching modules that align with students’ characteristics, learning materials, and the requirements of the Merdeka Curriculum.
WORKSHOP PENGEMBANGAN MEDIA PEMBELAJARAN BERBASIS ICT BERDESAIN LINGKUNGAN SISWA BAGI GURU SD Putri Yuanita; Elfis Suanto; Nahor Murani Hutapea; Rini Dian Anggraini; Susda Heleni; Suci Andriani; Sehatta Saragih
PAKEM: Jurnal Pengabdian Kepada Masyarakat Vol 6 No 2 (2026): Pakem : Jurnal Pengabdian Kepada Masyarakat
Publisher : Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pakem.6.2.102-112

Abstract

Paying attention to the intellectual development of elementary school students in the lower classes and the demands of the implementation of deep learning, bringing the context of the student environment into learning is a must. One of the efforts that can be made is through the use of ICT-based learning media with student environmental design. However, the limited ability of teachers to develop the media is an obstacle, so mentoring activities are needed. This community service activity aims to improve teachers' ability to develop ICT-based learning media with student environmental design through workshops. The activity was carried out in collaboration with the Siak Regency Education Office with a target of 51 grade I teachers in Kandis District. The workshop was held for four sessions at SDN 09 Kandis using presentation, discussion, practice, and simulation methods. Indicators of the success of the activities are measured through the ability of participants to produce media products and responses to the implementation of the activities. The results of the activity showed that participants were able to produce ICT-based learning media designed by students with a good category. In addition, the participants' response to the activity was very positive, where all participants stated that the activity helped them in developing learning media. The enthusiasm of the participants and the basic ability to use ICT are the supporting factors for the success of the activity, while the main obstacle lies in the ability to compile the structure of the material as well as in browsing, downloading and cutting the media context. This workshop activity was declared effective in improving teachers' abilities and experience in developing ICT-based learning media that is contextual and in accordance with the characteristics of elementary school students.
PENGEMBANGAN INSTRUMEN TES KEMAMPUAN KOMUNIKASI MATEMATIS PADA MATERI RELASI DAN FUNGSI Ramuna Maysa; Kartini; Nahor Murani Hutapea
Jurnal Ilmiah Matematika Realistik Vol. 7 No. 1 (2026): JURNAL ILMIAH MATEMATIKA REALISTIK
Publisher : Universitas Teknokrat Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33365/ji-mr.v7i1.1259

Abstract

The purpose of this study was to develop a mathematical communication skills test instrument on the topic of relations and functions that meets the criteria of validity, reliability, appropriate difficulty level, and good discriminating power. The development process employed the Tessmer model, which consists of the preliminary stage and formative evaluation stage. The preliminary stage involved needs analysis and instrument design, while the formative evaluation stage included self-evaluation, expert review, one-to-one evaluation, and field testing. The instrument, which had been validated by experts and analyzed based on students’ responses, was subsequently administered in field trials involving 30 students for Package I and 30 students for Package II. The final product consisted of 14 test items, all of which were validated by experts and proven capable of measuring students’ mathematical communication skills, particularly in the content area of relations and functions. The results indicated that all 14 items were valid, with reliability coefficients of 0.91 for Package I and 0.83 for Package II. The final instrument comprised 3 difficult items and 11 moderately difficult items, while the discrimination indices ranged from good to very good categories. Based on these findings, the developed instrument is considered feasible and appropriate for use as a tool to assess students’ mathematical communication skills.
Improving students' mathematics learning outcomes at SMA IT Al-Fityah Pekanbaru through the application of the problem-based learning model Deny Solihin; Titi Solfitri; Nahor Murani Hutapea
AXIOM : Jurnal Pendidikan dan Matematika Vol 13, No 1 (2024)
Publisher : State Islamic University of North Sumatra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30821/axiom.v13i1.19135

Abstract

This research is a class action research that aims to improve the learning process and increase students' mathematics learning outcomes by applying the Problem-Based Learning model in a sequence topic. The subjects of this study were 22 students of class XI IPA SMA IT Al-Fityah Pekanbaru even semester of the 2022/2023 academic year with heterogeneous academic abilities. This study consisted of two cycles with each cycle consisting of four stages, namely planning, acting, observing, and reflecting. The results showed an increase in the mathematics learning outcomes of students in class XI IPA SMA IT Al-Fityah Pekanbaru after participating in learning using the Problem-Based Learning model. The increase in students' mathematics learning outcomes can be seen from the frequency of students who reached the Minimum Achievement Criteria (KKM) increased from cycles I and II respectively 63.63% (14 students) in daily test I to 72,72% (16 students) in daily test II. Thus it can be concluded that the Problem Based Learning model can improve the learning process and improve students' mathematics learning outcomes.
Development of problem-based learning teaching modules to facilitate the mathematical communication skills of grade VII junior high school students Abdullah, Sulaiman; Hutapea, Nahor Murani; Kartini, Kartini
Jurnal Gantang Vol 11 No 1 (2026): Jurnal Gantang
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31629/jg.v11i1.7919

Abstract

This study aimed to develop a Problem-Based Learning (PBL) module on flat-sided solid shapes to facilitate the mathematical communication skills of eighth-grade junior high school students. The study employed the 4-D development model consisting of four stages: define, design, develop, and disseminate. The research was conducted in class VIII C of SMPN 1 Rumbio Jaya with 30 students. The results indicated that the PBL-based teaching module was highly valid, achieving average validation scores of 95% for the teaching module, 94% for the student worksheet (LKPD), and 94% for the learning assessment. Practicality testing also showed very practical results, with average scores of 85% in small-group trials and 88% in large-group trials. The findings demonstrate that the developed module effectively facilitates students' mathematical communication skills. Through the PBL phases embedded in the LKPD, students were guided to identify and analyze problems, represent ideas using mathematical symbols and diagrams, and communicate their reasoning in written form. These activities supported the development of key mathematical communication indicators, particularly students' abilities to express mathematical ideas through writing and visual representations.
Co-Authors ', Armis ', Zuhri D ', Zulkarnain Abdullah, Sulaiman Afriza, Yosep Yendra Ahmadi Aisyah Amalina Aisyah Nurul Rahmah Amelina Putri Aminuyati Amni, Rodhitul Andria, Adrila Anggi Apriani, Marina Arifatul hilma Arifin, Annisa Armis ' Armis Armis Aruan, Renni Dermawan Asri Lubis Atma Murni Atma Murni Atma Murni Atma Murni Atma Murni Brilyan Amry Siregar Cesilia, Sindy Chelvy Yoelanda Chindy Julia Fitrah Chintya, Cici Ayu Cici Ayu Chintya Darsono Simbolon Dede Sumiati Della Widya Ananda Deny Solihin Desi Fitriyani Dewi, Widya Shintya Dian, Monika Putri Didik Kharis Prayudi Dwi Wirda Lastari Ekarikardo ' Elfis Suanto Eti Tantri Manurung Evi Zahara Evi Zahara, Evi Zahara Fadilah Gustin Khainingsih Fadillah, Masrianti Fahrani, Ibnah Wanda Fatma Kumala Fatma Nauli Butar-Butar Frengki Candra Gunawan Silalahi Giva Putri, Meini Guswinda, Guswinda H. Zulkarnain H. Zulkarnain Harianti, Putri Harini, Elsa Hartina, Dwi Putri Hastri, Sherly Indah Mulya Cahyani Indira Santi Indra Hayati Putri Irwandi, Bayu Jalinus Jalinus Jalinus, Jalinus Jalinus, Jalinus KARTINI Kartini Kartini Kartini Kartini, Kartini Khairani Khairani Lendrawati Arif Lestari, Diah Dwi Listria Andini Maimunah Maimunah Maimunah Maimunah Manurung, Julian Lois Maria Celes Rajagukguk Mariani Mariani Marlinda, Weni Marni Swasti Marni Swasti Martha Febriani Br Sitinjak Masrianti Fadillah Mayu, Tika Ulfa Mega Afrianti Mega Ayu Adila Meta Sartika Monika Putri Dian Nasution, Fitri Rahmayani Niki Lauda S Lauda, Niki Lauda S Ningrum, Rosilawati Kusuma Ningsih, Irma Fetria Nofita Damayanti Norzilawati Nur’azani, Alifya Ovemy Delfita Pakpahan, Gunawan Saputra Parsaoran Selpanri Sitorus Pattimura SC Putri Aulia Susanti Putri Yuanita Rahayu, Dinda Rahmatina Aulia RAHMI FITRIA Rahmi Fitria Raju, Riani Octavianty Ramadhan, Puteri Nurul Ramuna Maysa Ranti Octapiana Simanjuntak Ratna Sari Dewi Reny Reski Reny Reski Reny Rian Dian Anggraini Riani Octavianty Raju Rini Dian Anggraini Riza Derniati Rohiimah, Siti Sakur Sakur Sakur, Sakur Sandy, Aulia Saratul Ihsany Ihsany, Saratul Ihsany Sartika, Endang Sri Sehatta Saragih Sehatta Saragih Sehatta Saragih Saragih, Sehatta Saragih Sehatta Saragih Sehatta Saragih Sembiring, Rinawati Septya Dwi Putri Dwi Putri Simarmata, Evan Dari Kristianto Situmorang, Ruth Sahana Sonya Claudy Emellya Putri Suci Andriani Suhermi ' Supri Hartini Susanti, Putri Aulia Susda Heleni Susi Ermina Sipakkar, Susi Ermina Syaila Affani Syarifah Nur Siregar Syef Harapit Syofni Syofni Syofni Syofni Syofni Syofni, Syofni Tania Aflah Titi Solfitri Ummuna Ummuna Rafli Urwatil Usqo Uswatun Khasanah Wulan dari Yanti, Risma Yenita Roza Yodiatmana, Yodiatmana Yohana S Sinaga, Yohana S Yola Putri Anggraini Yulistiawati, Yulistiawati Yuni Kartika, Yuni Zameza, Ranty Andika Abinaya Zima Ratna Sari Zulkarnain ' Zulkarnain Zulkarnain