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Nahor Murani Hutapea
Pendidikan Matematika FKIP Universitas Riau
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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

Abstract

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. Providing Programme for International Student Assessment (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

Abstract

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

Abstract

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

Abstract

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

Abstract

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

Abstract

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.
Development of Teaching Modules Based on Problem-Based Learning to Facilitate Mathematical Problem-Solving Skills Indra Hayati Putri; Rian Dian Anggraini; Nahor Murani Hutapea
AL-ISHLAH: Jurnal Pendidikan Vol 17, No 2 (2025): JUNE 2025
Publisher : STAI Hubbulwathan Duri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35445/alishlah.v17i2.5123

Abstract

This study addresses the limited availability of effective teaching modules that support the Merdeka curriculum. The objective is to develop a teaching module on linear equations and inequalities with one variable using the Problem-Based Learning (PBL) model, aiming to enhance students’ mathematical problem-solving abilities. The research utilized the 4-D development model (Define, Design, Develop, Disseminate). The teaching module, designed for Phase D, was evaluated for validity and practicality. Validation instruments included expert review sheets assessing identity/general information, core components, and appendices. Practicality was assessed through teacher and student questionnaires. Validation results indicated that the module was highly valid. Average expert ratings were 3.74 for identity/general information, 3.73 for core components, and 3.75 for appendices. The practicality assessment showed high levels of acceptance, with teacher responses averaging 3.62. Student responses in a small group trial averaged 3.61, while those in a large group trial averaged 3.50—both categorized as very practical. The findings demonstrate that the developed module is both valid and practical for use in classroom settings. Its integration of the PBL model supports students' active engagement and enhances their problem-solving skills. The teaching module developed using the PBL approach meets the criteria for both validity and practicality. It serves as an effective instructional tool for teaching linear equations and inequalities in alignment with the Merdeka curriculum.
MODUL AJAR TOPIK RELASI DAN FUNGSI BERBASIS PENDEKATAN KONTEKSTUAL UNTUK MEMFASILITASI KEMAMPUAN REPRESENTASI MATEMATIS Listria Andini; Maimunah; Nahor Murani Hutapea
SIGMA: JURNAL PENDIDIKAN MATEMATIKA Vol. 18 No. 1: Juni 2026
Publisher : Universitas Muhammadiyah Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26618/02fax348

Abstract

Tujuan: Penelitian ini bertujuan menghasilkan modul ajar topik relasi dan fungsi berbasis pendekatan kontekstual untuk memfasilitasi kemampuan representasi matematis siswa yang memenuhi kriteria valid dan praktis. Metode: Penelitian ini merupakan penelitian pengembangan dengan menggunakan model 4-D, yaitu define, design, development, dan disseminate. Subjek uji coba dalam penelitian ini adalah siswa Kelas IXa dan IXb SMP Negeri 23 Pekanbaru. Jenis data pada penelitian ini adalah data kualitatif dan data kuantitatif.  Instrumen yang digunakan adalah lembar validasi modul ajar dan lembar praktikalitas. Teknik pengumpulan data pada penelitian ini diambil dari hasil wawancara, observasi, dokumentasi, angket validasi, angket praktikalitas. Teknik analisis data pada penelitian ini adalah analisis kevalidan dan analisis kepraktisan. Hasil: Hasil penelitian menunjukkan bahwa validasi oleh 3 validator terhadap modul ajar adalah 88,60% dengan kriteria sangat valid, artinya modul ajar layak digunakan, skor LKPD adalah 87,78% dengan kriteria sangat valid artinya LKPD sudah layak diujicobakan, dan skor asesmen adalah 87,73% dengan kriteria sangat valid, artinya asesmen sudah layak diujicobakan kesiswa. Hasil angket respon guru terhadap modul ajar adalah 91,16% dengan kriteria sangat praktis. Uji coba hasil angket respon siswa pada uji coba kecil terhadap LKPD dengan nilai 89,65%, sementara uji coba lapangan terhadap LKPD adalah 89,41% dengan kriteria sangat praktis. Simpulan: Modul ajar yang dikembangkan dapat menjadi alternatif perangkat pembelajaran yang layak digunakan guru untuk memfasilitasi kemampuan representasi matematis siswa pada topik relasi dan fungsi.
PENERAPAN PEMBELAJARAN BERBASIS MASALAH DENGAN KONTEKS OBJEK WISATA LOKAL UNTUK MENINGKATKAN HASIL BELAJAR MATEMATIKA SISWA Amelina Putri; Maimunah; Nahor Murani Hutapea; Ahmadi
SIGMA: JURNAL PENDIDIKAN MATEMATIKA Vol. 18 No. 1: Juni 2026
Publisher : Universitas Muhammadiyah Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26618/rmkqfd68

Abstract

Tujuan: Penelitian ini bertujuan untuk meningkatkan hasil belajar matematika siswa kelas VII MTs Baitul Amal Pekanbaru pada semester ganjil tahun pelajaran 2025/2026 melalui penerapan model Problem Based Learning dengan konteks objek wisata lokal pada materi rasio. Metode: Penelitian ini merupakan Penelitian Tindakan Kelas (PTK) yang dilaksanakan dalam dua siklus dengan tahapan perencanaan, pelaksanaan tindakan, observasi, dan refleksi. Subjek penelitian adalah 18 siswa kelas VII MTs Baitul Amal Pekanbaru. Data dikumpulkan melalui lembar observasi aktivitas guru dan siswa serta tes hasil belajar, kemudian dianalisis secara deskriptif. Hasil: Hasil penelitian menunjukkan bahwa aktivitas guru meningkat dari 82% pada Siklus I menjadi 92% pada Siklus II, sedangkan aktivitas siswa meningkat dari 74% menjadi 88%. Hasil belajar matematika siswa juga mengalami peningkatan yang ditunjukkan oleh kenaikan persentase siswa yang mencapai Kriteria Ketercapaian Tujuan Pembelajaran (KKTP) dari 38,89% pada kondisi awal menjadi 50% pada Siklus I dan 66,67% pada Siklus II. Nilai rata-rata hasil belajar siswa meningkat dari 65,1 pada kondisi awal menjadi 71,6 pada Siklus I dan 77,6 pada Siklus II. Simpulan: Penerapan model Problem Based Learning dengan konteks objek wisata lokal dapat meningkatkan kualitas proses pembelajaran dan hasil belajar matematika siswa pada materi rasio. Model pembelajaran ini dapat dijadikan sebagai alternatif pembelajaran yang kontekstual untuk membantu siswa memahami konsep matematika secara lebih bermakna.
Analysis of Students’ Error in Solving Problems on SPLDV Material Based on Newman's Theory Monika Putri Dian; Nahor Murani Hutapea; 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

Abstract

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.
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