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Nahor Murani Hutapea

Pendidikan Matematika FKIP Universitas Riau

Author-ID : 2552288

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Analisis Kemampuan Komunikasi Matematis Siswa Pada Materi Statistika Arifin, Annisa; Maimunah; Hutapea, Nahor Murani
Lattice Journal : Journal of Mathematics Education and Applied Vol. 5 No. 1 (2025): Juni 2025
Publisher : Universitas Islam Negeri Sjech M. Djamil Djambek Bukittinggi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30983/lattice.v5i1.9504

Mathematical communication skills are essential in mathematics learning, reflecting how well students can understand, process, and convey mathematical ideas logically and coherently. This study aims to analyze the mathematical communication skills of eighth-grade students in the topic of statistics based on three core indicators: (1) connecting real objects, graphs, and tables to mathematical ideas; (2) explaining mathematical ideas and relationships through visual representations; and (3) expressing ideas using mathematical language or symbols. This research used a qualitative approach with a descriptive method involving three students of varying ability levels (high, moderate, low) from SMP Negeri 1 Bathin Solapan. The instruments included open-ended questions, interview guidelines, and a communication rubric. The results showed that the first indicator had the highest percentage at 75%, followed by the second at 67%, and the third at 58%. High-ability students were able to answer all questions clearly and accurately, while low-ability students had difficulty explaining ideas both verbally and symbolically. These findings highlight the importance of implementing instructional strategies that encourage students to actively communicate their mathematical understanding in both written and visual forms. Kemampuan komunikasi matematis merupakan aspek penting dalam pembelajaran matematika karena menunjukkan sejauhmana siswa mampu memahami, mengolah, dan menyampaikan ide-ide matematis secara runtut dan logis. Penelitian ini bertujuan untuk menganalisis kemampuan komunikasi matematis siswa kelas VIII pada materi statistika berdasarkan tiga indikator utama: (1) menghubungkan benda nyata, grafik, dan Tabel ke dalam ide matematika; (2) menjelaskan ide dan hubungan matematis melalui representasi visual; dan (3) menyatakan ide matematika menggunakan bahasa atau simbol matematika. Penelitian ini menggunakan pendekatan kualitatif dengan metode deskriptif yang melibatkan tiga siswa dengan tingkat kemampuan berbeda (tinggi, sedang, rendah) di SMP Negeri 1 Bathin Solapan. Instrumen yang digunakan meliputi soal uraian, pedoman wawancara, dan rubrik analisis komunikasi matematis. Hasil penelitian menunjukkan bahwa indikator pertama memperoleh persentase tertinggi sebesar 75%, indikator kedua sebesar 67%, dan indikator ketiga sebesar 58%. Siswa dengan kemampuan tinggi mampu menjawab semua soal dengan tepat dan jelas, sementara siswa berkemampuan rendah mengalami kesulitan dalam menjelaskan ide secara verbal maupun simbolik. Temuan ini menekankan pentingnya penerapan strategi pembelajaran yang mendorong siswa untuk aktif mengomunikasikan pemahaman matematis mereka secara tertulis dan visual.

VALIDITAS BUKU AJAR MATA KULIAH GEOMETRI BERBASIS CAPAIAN PEMBELAJARAN Sakur, Sakur; Saragih, Sehatta; Hutapea, Nahor Murani
Jurnal Penelitian Ilmu Pendidikan Indonesia Vol. 1 No. 2 (2022): Volume 1 No 2
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat, Universitas Pahlawan Tuanku Tambusai

There is a change in the competence required so that it has an impact on changes in the content and content of course material. In this regard, it is necessary to rearrange the content of the material in the course. Based on the early-end study as the Teaching Team for the Geometry course, it is deemed necessary to develop textbooks that are in line with the competency demands set to facilitate students in understanding lecture material. Researchers realize the importance of developing textbooks so that the competence of prospective teachers produced by Mathematics Education at FKIP UR is in line with the needs of Elementary and Secondary Education. The purpose of this research is to produce valid and practical textbooks used in Goemetry courses. The results of the define phase of the researcher have compiled geometry study materials, concept networks and sub-outcome indicators of course learning. This development research produced a product in the form of a Geometry textbook according to the IQF-based curriculum on flat plane geometry material in the Geometry course which has fulfilled valid aspects in terms of content validity (content according to curriculum), construct validity (according to presentation, language arrangement and appearance).

ANALYSIS OF STUDENTS MATHEMATICAL LITERACY ABILITY IN SOLVING PISA PROBLEMS IN TERMS OF STUDENT LEARNING INDEPENDENCE Chintya, Cici Ayu; Saragih, Sehatta; Hutapea, Nahor Murani
JME (Journal of Mathematics Education) Vol 8, No 2 (2023): JME
Publisher : Universitas Sembilanbelas November Kolaka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31327/jme.v8i2.1960

Mathematical literacy skills are one of the essential aspects that students need to master because, through this ability, they can solve problems in everyday life. ProvidingÂ Programme for International Student AssessmentÂ (PISA) questions is one of the teachers' efforts to develop students' mathematical literacy skills. This study aims to describe the observed mathematical literacy ability of students learning independence and analyze the difficulties experienced by students in solving PISA problems. The study subjects consisted of 20 students of SMPN 02 Siak Hulu. The research method used is descriptive. The research instrument is PISA test questions oriented to quantity content, learning independence questionnaires, and interview guidelines. The data obtained is analyzed by reducing, presenting, and drawing conclusions. The result of this study is that students doing PISA questions are still experiencing difficulties. This difficulty occurs because students are unfamiliar with PISA model questions. They do not understand the meaning of the problem, do not understand the material in the problem, are confused about determining mathematical concepts, and cannot apply problem-solving strategies.

Analisis Kemampuan Penalaran Matematis Peserta Didik Kelas VIII SMP Negeri 12 Pekanbaru Pada Materi SPLDV Fahrani, Ibnah Wanda; Hutapea, Nahor Murani; Suanto, Elfis
Media Pendidikan Matematika Vol. 13 No. 1 (2025)
Publisher : Universitas Pendidikan Mandalika (UNDIKMA)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/mpm.v13i1.16277

Tujuan dari penelitian ini adalah untuk mengetahui seberapa baik siswa kelas VIII dapat menggunakan pemikiran matematis dalam menyelesaikan masalah yang melibatkan sistem persamaan linear dua variabel. Jenis penelitian yang dilakukan adalah deskriptif kualitatif. Dua puluh satu siswa akan menjadi subjek penelitian ini. Mereka akan diberikan tes dua soal berbentuk pernyataan. Hasil jawaban siswa terhadap tes yang digunakan untuk mengukur kemampuan berpikir matematisnya digunakan untuk analisis data dalam penelitian ini. Terdapat 9,52% siswa dalam kategori tinggi yang mampu menggunakan penalaran metamatika, 28,57% siswa dalam kategori sedang, dan 61,91% siswa dalam kategori rendah. Keterampilan tersebut dapat dilihat dari seberapa baik siswa menyajikan pernyataan matematis secara lisan, tertulis, dengan gambar atau diagram, seberapa baik mereka membuat dugaan, seberapa baik mereka melakukan perhitungan berdasarkan aturan atau rumus, seberapa baik mereka memeriksa validitas suatu argumen, dan seberapa baik mereka menarik kesimpulan atau membuat generalisasi. Berdasarkan hasil penelitian ini, siswa yang kurang pandai berpikir matematis paling banyak mengalami kesulitan dengan tanda-tanda yang digunakan untuk melakukan tebakan. Namun sebagian besar siswa mampu menunjukkan kemampuan berpikir yang baik pada dua pertanyaan yang meminta mereka menarik kesimpulan atau membuat generalisasi.

Analysis of Students’ Error in Solving Problems on SPLDV Material Based on Newman's Theory Dian, Monika Putri; Hutapea, Nahor Murani; Kartini, Kartini
PRISMA Vol 14, No 2 (2025): PRISMA
Publisher : Universitas Suryakancana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35194/jp.v14i2.5376

This study aims to analyze students' errors in solving problem-solving problems on the material of two-variable linear equation systems based on Newman's theory. This study needs to be conducted in order to help find out what mistakes students make so that it will be easier to find solutions to minimize the occurrence of these errors in learning. The research method used is descriptive qualitative. The subjects in the study were 16 students of class X MA Cendekia Bangsa. The study was conducted in the 2024/2025 academic year, even semester. The data collection technique used by the researcher was using a test instrument in the form of two essay questions containing indicators of mathematical problem-solving abilities on the material of two-variable linear equation systems and interviews. The results of the analysis of students' errors in solving problem-solving problems on SPLDV material based on Newman's theory obtained 9.4 % reading errors (very low category); 28.1% understanding errors (low category); 40.6% transformation errors (sufficient category); 62.5% process skill errors (high category) and 21.9% answer writing errors (low category). The largest percentage of errors is in processing skills errors which are caused by many students still having problems with algebraic calculations and integer operations.

Students’ Error Analysis in Solving Reasoning Problems on Sequences and Series Using Nolting’s Theory Harini, Elsa; Suanto, Elfis; Hutapea, Nahor Murani
PRISMA Vol 14, No 2 (2025): PRISMA
Publisher : Universitas Suryakancana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35194/jp.v14i2.5281

Mathematical reasoning ability is an essential competency emphasized in the Merdeka Curriculum, particularly in the Learning Outcomes (CP) for Phase E, which requires students to understand, generalize, and prove mathematical concepts. However, various studies have shown that Indonesian students' mathematical reasoning skills remain relatively low, including in the topic of sequences and series. This study aims to analyze students’ errors in solving mathematical reasoning problems related to sequences and series in Grade 10, based on Nolting’s error theory. The research employed a qualitative descriptive approach involving 20 tenth-grade students from Senior High School 12 Pekanbaru. The research instrument consisted of four mathematical reasoning essay questions covering arithmetic and geometric sequences and series, adapted from Fadillah. The analysis revealed four types of student errors: Careless Errors (34.30%), Connection Errors (31.20%), Test-Taking Errors (21.80%), and Application Errors (17.50%). These errors were attributed to various factors, including cognitive factors such as lack of conceptual understanding and affective factors such as low learning motivation. The findings highlight the importance of teachers in analyzing student errors to help minimize learning difficulties in mathematics and improve the overall quality of mathematics instruction

Boosting Students' Mathematical Problem-Solving Skills with PBL-Based LiveWorksheets: Focus on Whole Numbers and Fractions Topic Usqo, Urwatil; Hutapea, Nahor Murani; Kartini, Kartini
Edumatika Vol 7 No 2 (2024): November 2024, Edumatika : Jurnal Riset Pendidikan Matematika
Publisher : Fakultas Tarbiyah dan Ilmu Keguruan IAIN Kerinci

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32939/ejrpm.v7i2.3933

Problem solving skills is one of the important skills that students must master through learning mathematics. One alternative to improve students' mathematical problem-solving skills is using the Problem-based Learning (PBL) learning model combined with technology-based learning media. This research aims to produce PBL-based electronic student worksheets (e-worksheets) on the topic of whole numbers and fractions that are valid, practical and effective to improve students' mathematical problem-solving skills. The development of e-worksheets uses a 4D development model involving seventh-grade students from one of the junior high schools in Rokan Hulu, Riau, Indonesia as field test subjects. The results of data analysis show that the e-worksheet developed using LiveWorksheet application has met the valid criteria based on experts judgement and practical based on the practicality questionnaires. E-worksheets have also been proven effective in improving students' mathematical problem-solving skills with an average N-gain at high criteria.

DEVELOPMENT OF AKM-BASED QUESTIONS TO FACILITATE STUDENTS' NUMERACY SKILLS Irwandi, Bayu; Hutapea, Nahor Murani; Yuanita, Putri
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 3 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i3.11519

This study was motivated by the importance of numeracy as a core competency required to face 21st-century challenges. However, results of the Minimum Competency Assessment (AKM) reveal that more than half of vocational high school (SMK) students in Indonesia fall below the minimum proficiency level in numeracy. This condition occurs due to the limited availability of practice items for students and the limited ability of teachers to develop AKM-based questions. The aim of this study was to develop valid and reliable AKM-oriented numeracy items to support students’ numeracy improvement. The development model employed was development studies, consisting of two stages: the preliminary stage (analysis and design) and the formative evaluation stage. The research was conducted at SMK Abdurrab Pekanbaru using test and interview methods for data collection. During the formative evaluation stage, the developed items were tested on 32 students to assess validity, reliability, difficulty level, and discriminating power. The results showed that 18 test items were valid, comprising 2 multiple-choice, 4 true/false, 3 matching, and 9 essay items. Reliability testing using the KR-20 formula for objective items produced a coefficient of 0.847 (very high), while Cronbach’s Alpha for essay items was 0.873 (very high). Difficulty analysis indicated 3 easy, 14 moderate, and 1 difficult item. Discrimination analysis showed that 15 items had good discriminating power and 3 had moderate levels. In conclusion, the 18 developed items were considered suitable for measuring and improving students’ numeracy skills and can serve as a reference for teachers in designing AKM-based assessments.

Co-Authors ', Armis ', Zuhri D ', Zulkarnain Afriza, Yosep Yendra Aisyah Amalina Aisyah Nurul Rahmah 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 Chindy Julia Fitrah Chintya, Cici Ayu Cici Ayu Chintya Darsono Simbolon Dede Sumiati Della Widya Ananda Desi Fitriyani Dewi Yuliani, Dewi 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 Irwandi, Bayu Jalinus Jalinus Jalinus, Jalinus Jalinus, Jalinus KARTINI Kartini Kartini Kartini, Kartini Khairani Khairani Lendrawati Arif Lestari, Diah Dwi Maimunah 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 Nasution, Fitri Rahmayani Niki Lauda S Lauda, Niki Lauda S Ningrum, Rosilawati Kusuma Ningsih, Irma Fetria Nofita Damayanti Norzilawati Nurâ€™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 Ranti Octapiana Simanjuntak Ratna Sari Dewi Reny Reski Reny Reski Reny Riani Octavianty Raju Rini Dian Anggraini Rio Kurniawan 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 Solihin, Deny Solly Aryza Sonya Claudy Emellya Putri 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 Titi Solfitri Usqo, Urwatil 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 Zulkarnain Zulkarnain

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