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MODEL ATAU METODE UNTUK MENINGKATKAN KUALITAS PERKULIAHAN ANALISIS REAL: STUDI LITERATUR : Model Or Methods For Improving The Quality Of Real Analysis Lectures: Literature Study Nasution, Afifah Nabila; Hasanah, Rusi Ulfa; Ningsih, Sri Rahayu; Sastika, Weni
Al-Aqlu: Jurnal Matematika, Teknik dan Sains Vol. 2 No. 2 (2024): Juli 2024
Publisher : Yayasan Al-Amin Qalbu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59896/aqlu.v2i2.75

Abstract

Real analysis is an important subject in college level mathematics education. The quality of real analysis lectures can influence students' understanding of basic concepts in advanced mathematics. This literature study aims to develop a model that can improve the quality of real analysis lectures through a review of various related literature sources. The method used in this study is a literature review, where various literature sources relevant to the research topic are analyzed thoroughly. The results of the analysis show that efforts that can be made to improve the quality of real analysis lectures include applying the lesson study method, developing relevant and quality textbooks, as well as providing support from family and social circles for students. The conclusion of this study confirms that the application of lesson study in the context of real analysis lectures can provide significant benefits in improving the quality of learning. Apart from that, developing textbooks that suit student needs is also an important step in increasing the effectiveness of lectures. Support from family and social environment also plays a crucial role in creating a conducive learning environment for students.
JENIS KESALAHAN PADA PEMBUKTIAN MATEMATIS: SYSTEMATIC LITERATURE REVIEW (SLR): The Types Of Errors In Mathematical Proof: Systematic Literature Review (SLR) M. Fauzan Zannurrain; Rusi Ulfa Hasanah; Sulthon Zulkarnain Siregar
Al-Aqlu: Jurnal Matematika, Teknik dan Sains Vol. 2 No. 2 (2024): Juli 2024
Publisher : Yayasan Al-Amin Qalbu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59896/aqlu.v2i2.78

Abstract

This research aims to conduct a literature review related to the types of errors in mathematical proofs. The research method used in this study is Systematic Literature Review (SLR). From the search results on Google Scholar, a total of 24 articles were found. These were then filtered according to specified criteria, which included only journal articles and excluded proceedings, theses, and dissertations. Articles from the period between 2017 and 2024 were considered, resulting in 22 articles after exclusion. Further screening was done based on the accreditation level of the journals (1-3) and reading the abstracts to assess their relevance to the research topic, which yielded 9 articles suitable for this study. The findings of this research indicate five main categories of errors: conceptual errors, logical errors, procedural errors, representation errors, and communication errors
Systematic Literature Review (SLR): Kesulitan Mahasiswa Pendidikan Matematika Gultom, Fitri Harabiyah; Hasanah, Rusi Ulfah; Rahma Hz, Fathiyah; Nasution, Rizki Wahyudi
Mathematical and Data Analytics Vol. 1 No. 1 (2024): Artikel Riset Juni 2024
Publisher : Yayasan Cita Cendikiawan Alkhwarizmi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47709/mda.v1i1.3798

Abstract

Mahasiswa Pendidikan Matematika kerap mengalami berbagai kesulitan belajar pada mata kuliah dasar hingga lanjutan, yang berdampak pada penguasaan konsep dan kesiapan mereka sebagai calon pendidik. Kajian ini bertujuan memetakan bentuk kesulitan belajar mahasiswa Pendidikan Matematika, faktor penyebabnya, serta implikasinya bagi praktik pembelajaran di perguruan tinggi melalui pendekatan systematic literature review. Metode yang digunakan adalah systematic literature review terhadap artikel-artikel yang dipublikasikan pada jurnal nasional terakreditasi dan prosiding relevan yang diindeks di Google Scholar dan Garuda, dengan kata kunci “kesulitan belajar”, “mahasiswa pendidikan matematika”, dan “analisis real/kalkulus/aljabar”, dalam rentang tahun 2015–2024. Setelah proses seleksi berbasis kriteria inklusi–eksklusi (relevansi topik, jenjang subjek, dan kelengkapan laporan metodologis), diperoleh 10 artikel yang dianalisis secara mendalam. Hasil kajian menunjukkan bahwa kesulitan utama muncul pada pemahaman konsep (limit, analisis real, aljabar, integral), penalaran dan pembuktian, kemampuan numerasi, serta pemanfaatan teknologi pembelajaran, yang diperkuat oleh faktor psikologis (motivasi dan kepercayaan diri) dan lingkungan belajar (keluarga, sekolah, dan masyarakat). Temuan ini menegaskan pentingnya penguatan pembelajaran berbasis konsep, pelatihan penalaran dan pembuktian, pengembangan literasi numerasi, serta integrasi teknologi dan dukungan psikososial secara terencana dalam kurikulum Pendidikan Matematika
Pemetaan Jenis Penalaran Matematis dan Konstruksi Bukti Mahasiswa pada Perkuliahan Analisis Real: A Systematic Literature Review (2019–2024) Harahap, Habib Syarkowi; Hasanah, Rusi Ulfah; Harahap, Risky Parubahan; Dahlan, Nabila Adelia
Mathematical and Data Analytics Vol. 1 No. 1 (2024): Artikel Riset Juni 2024
Publisher : Yayasan Cita Cendikiawan Alkhwarizmi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47709/mda.v1i1.3799

Abstract

Mata kuliah Analisis Real menempatkan pembuktian matematis sebagai inti pembelajaran dan menuntut penalaran deduktif yang terstruktur. Namun demikian, kajian sistematis yang secara khusus memetakan jenis penalaran matematis mahasiswa dan keterkaitannya dengan konstruksi bukti pada perkuliahan Analisis Real masih terbatas. Penelitian ini bertujuan untuk memetakan jenis penalaran matematis mahasiswa dalam konteks Analisis Real melalui pendekatan Systematic Literature Review (SLR). Penelusuran literatur dilakukan pada basis data Google Scholar dan Garuda dengan rentang publikasi 2019–2024, mengikuti pedoman PRISMA 2020. Dari 267 artikel yang teridentifikasi, sebanyak 51 studi memenuhi kriteria inklusi dan kualitas. Analisis data menggunakan skema klasifikasi multi-label, sehingga satu studi dapat merepresentasikan lebih dari satu jenis penalaran matematis. Hasil pemetaan menunjukkan bahwa penalaran induktif (46 kemunculan) dan deduktif (44 kemunculan) lebih dominan dibandingkan penalaran generalisasi (28 kemunculan) dan konstruksi bukti matematis (25 kemunculan). Temuan ini mengindikasikan bahwa penelitian mahasiswa dalam konteks Analisis Real cenderung menekankan penalaran umum, sementara konstruksi bukti matematis masih relatif kurang diposisikan sebagai objek kajian eksplisit. Penelitian ini memberikan kontribusi konseptual melalui pemetaan sistematis berbasis multi-label yang menegaskan konstruksi bukti sebagai area riset yang perlu diperdalam dalam pendidikan matematika perguruan tinggi, khususnya pada perkuliahan Analisis Real.
Systematic Literature Review (SLR): Kemampuan Pembuktian Matematis Mahasiswa Winda; Hasanah, Rusi Ulfa; Dinda; Syamfitri, Ade
Mathematical and Data Analytics Vol. 1 No. 1 (2024): Artikel Riset Juni 2024
Publisher : Yayasan Cita Cendikiawan Alkhwarizmi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47709/mda.v1i1.3820

Abstract

Penelitian ini bertujuan memetakan pembuktian matematis, profil kemampuan pembuktian/argumentasi, kesulitan pembuktian, serta intervensi pembelajaran yang terkait langsung dengan pembuktian pada mahasiswa pendidikan matematika. Metode yang digunakan adalah Systematic Literature Review (SLR) dengan pendekatan deskriptif, dengan pencarian melalui Google Scholar, Garuda, ERIC, dan Semantic Scholar pada rentang publikasi 2020–2025 (Bahasa Indonesia) dan pelaporan mengikuti prinsip PRISMA 2020. Kajian ini mensintesis 15 artikel terpilih. Hasil sintesis menunjukkan kesulitan yang dominan meliputi kesalahan membaca/menafsirkan soal, penalaran/asumsi yang tidak tepat, pemilihan alur pembuktian, serta ketidaktelitian dalam langkah pembuktian, termasuk temuan kesalahan pemahaman dan transformasi pada topik Analisis Real. Intervensi seperti penggunaan/pengembangan media berbantuan GeoGebra dilaporkan membantu dukungan representasi/visualisasi dan konstruksi bukti pada topik tertentu, tetapi efektivitasnya tetap memerlukan scaffolding pembuktian yang eksplisit. Kesimpulannya, peningkatan kemampuan pembuktian matematis mahasiswa perlu menggabungkan penguatan konsep prasyarat, latihan pembuktian bertahap berbasis indikator, dan dukungan media pembelajaran yang relevan.
Pemberdayaan Guru Madrasah Tsanawiyah Melalui Pelatihan Inovatif untuk Meningkatkan Keterampilan Guru dalam Merancang Pembelajaran Mendalam Hasanah, Rusi Ulfa; Simbolon, Novi Tari; Siregar, Elida Tuti; Adawiyah, Robiatul; Sibarani, Sariayu; Simangunsong, Herlina; Siregar, Cristyani; Saputri, Lilis
Jurnal Pengembangan dan Pengabdian Masyarakat Multikultural Vol 3 No 3: BATIK Desember 2025
Publisher : Institut Riset dan Publikasi Indonesia (IRPI)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57152/batik.v3i3.2327

Abstract

This community service program aimed to empower Madrasah Tsanawiyah (MTs) teachers in enhancing their skills to design deep learning through innovative training. The program was conducted at MTs Al-Fauzi and involved 20 teachers as participants. Initial analysis revealed that most teachers were in the medium (45%) and low (35%) categories, while only 20% achieved the high category. This indicated that teachers faced challenges in integrating higher-order thinking skills (HOTS), problem-solving, and project-based learning into their lesson plans. After the training, a significant shift occurred: the low category decreased to 10%, the medium category dropped to 30%, and the high category increased to 60%. These results demonstrate that innovative training through hands-on practice, collaborative discussion, and lesson design simulation was effective in improving teachers’ skills. However, the program had several limitations, including limited training duration, short-term evaluation, and a relatively small number of participants. Therefore, continuous mentoring and follow-up activities are recommended to ensure that the improved skills are consistently applied in daily classroom practices.
MATHEMATICS LEARNING USING THE TAPPS MODEL BASED ON MIND MAPPING: ITS IMPACT ON STUDENTS' MATHEMATICAL PROBLEM-SOLVING SKILLS : Sumatera Utara, Indonesia Rizki Aprilia, Nabila; Ulfa Hasanah, Rusi
Jurnal Math-UMB.EDU Vol. 13 No. 2 (2026): MARCH
Publisher : Universitas Muhammadiyah Bengkulu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36085/math-umb.edu.v13i2.10263

Abstract

Students’ mathematical problem-solving skills in Indonesia are still not optimal, so it is necessary to implement a learning model that can train structured thinking and increase student engagement. This study aims to determine the effect and magnitude of the effect of the Mind Mapping-based Thinking Aloud Pair Problem Solving (TAPPS) cooperative learning model on the mathematical problem-solving skills of seventh-grade MTs students in a city in Medan  regarding algebra material. This is a quantitative study using a quasi-experimental method with a pretest–posttest control group design. The research sample consisted of two classes: an experimental class with 28 students and a control class with 28 students. The instrument used was a mathematical problem-solving ability test. Data analysis employed the t-test. Results from the independent samples t-test indicated p < 0.001 < 0.05, thus rejecting H₀. This improvement was indicated by an N-Gain value of 0.36, classified as moderate, and a coefficient of determination R² = 0.372, meaning that students’ mathematical problem-solving skills were influenced by the implementation of this learning model. Thus, the Mind Mapping-based TAPPS model can serve as an alternative approach to mathematics instruction to enhance students’ mathematical problem-solving skills. Keywords: Learning Model; TAPPS; Mind Mapping; Mathematical Problem-Solving Ability
The Influence of Learning Motivation and Learning Activeness on the Mathematical Communication Ability of Grade VIII Students at MTsS Miftahussalam in the 2024–2025 Academic Year Rahmayani Ritonga; Tanti Jumaisyaroh Siregar; Rusi Ulfa Hasanah
Journal Innovative Practices in Education (JIPE) Vol. 1 No. 2 (2026): April
Publisher : CV PUTRA PUBLISHER

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58540/jipe.v1i2.1501

Abstract

This study aimed to determine the description of learning motivation, learning activeness, and mathematical communication ability of Grade VIII students at MTs Miftahussalam Medan, as well as to examine the relationship among these variables. This research used a quantitative approach with a correlational method. The population of this study consisted of all Grade VIII students totaling 91 students, while the research sample consisted of 30 students who were selected using a simple random sampling technique. Data were collected using questionnaires to measure students’ learning motivation and learning activeness, and tests to measure students’ mathematical communication ability. The data obtained were analyzed using descriptive statistics and the Spearman correlation test with the assistance of the SPSS program. The results of the study showed that students’ learning motivation, learning activeness, and mathematical communication ability were in the moderate category. In addition, the results of the correlation analysis indicated that there was no significant relationship between learning motivation, learning activeness, and students’ mathematical communication ability. These findings suggested that students’ mathematical communication ability was influenced by other factors beyond motivation and learning activeness.
Perbedaan Kemampuan Komunikasi Matematis dan Kemampuan Pemecahan Masalah Matematis Siswa antara Pembelajaran Kooperatif Tipe Student Team Achievment Division dan Pembelajaran Kooperatif Think Pair Share di SMP Nurul Hadina Patumbak Batas Kaliropan Padang; Mara Samin Lubis; Rusi Ulfa Hasanah
Educational Journal Vol. 1 No. 4 (2026): MAY-JULY
Publisher : Indo Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.63822/j5frsv86

Abstract

This study aims to determine the differences in mathematical communication ability and mathematical problem-solving ability of students taught using cooperative learning models of the Student Team Achievement Division (STAD) type and Think Pair Share (TPS) type at SMP Nurul Hadina Patumbak. The background of this research is based on the low levels of students’ mathematical communication and problem-solving abilities, caused by the dominance of conventional teaching methods that have not provided students with sufficient opportunities to participate actively in the learning process. This study employed a quantitative approach using a Quasi-Experimental Design with a Non-Equivalent Control Group Design. The study population consisted of all eighth-grade students of SMP YPI Nurul Hadina Patumbak in the 2025/2026 academic year, comprising two classes. Samples were selected using purposive sampling, namely class VIII A (22 students) as Experimental Group I receiving the STAD learning model, and class VIII B (24 students) as Experimental Group II receiving the TPS learning model. The research instrument consisted of essay tests in the form of pretests and posttests to measure mathematical communication ability and mathematical problem-solving ability. Data were analyzed using the Independent Samples t-test and MANOVA with SPSS version 26.0, preceded by normality (ShapiroWilk) and homogeneity (Levene’s Test) prerequisite tests. The results showed that the mean posttest score for mathematical communication ability in the STAD class was 82.27 compared to 78.75 in the TPS class, while the mean posttest score for mathematical problem-solving ability in the STAD class was 84.09 compared to 80.21 in the TPS class. The independent t-test revealed significant differences in mathematical communication ability (t = 2.847; sig. = 0.007) and mathematical problem-solving ability (t = 3.124; sig. = 0.003) between the two classes. The MANOVA results also confirmed a significant simultaneous difference on both dependent variables (F = 7.084; sig. = 0.002). The N-Gain score of the STAD class (0.60) was higher than that of the TPS class (0.52), although both fell within the moderate category. Therefore, it can be concluded that the STAD cooperative learning model is more effective than the TPS model in improving the mathematical communication and problemsolving abilities of eighth-grade students at SMP Nurul Hadina Patumbak.
Pengaruh Model Mastery Learning Terhadap Kemampuan Pemecahan Masalah dan Kemampuan Literasi Matematis Kelas VII SMP Sri Rezeki; Yahfizham Yahfizham; Rusi Ulfa Hasanah
Jurnal Ilmiah Literasi Indonesia Vol. 2 No. 1 (2026): JANUARI-JUNI
Publisher : Indo Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.63822/8v8gy925

Abstract

This study aimed to determine the effect of the Mastery Learning model on students’ problem-solving ability and mathematical literacy ability in seventh-grade junior high school students. This study employed a quantitative approach with a quasi-experimental design. The population consisted of all seventh-grade students totaling students. The sample used was total sampling, namely class VII-A as the experimental class consisting of  students and class VII-B as the control class consisting of  students. Data were collected through pretest and posttest instruments. The results showed that the Mastery Learning model had an effect on improving students’ problem-solving ability and mathematical literacy ability. Based on the N-Gain results, the average problem-solving ability in the experimental class was , which was higher than the control class at . Meanwhile, the mathematical literacy ability in the experimental class obtained an average score of , while the control class obtained . Hypothesis testing showed that the problem-solving ability had a one-tailed significance value of . The mathematical literacy ability showed a one-tailed significance value of . Therefore, it can be concluded that the Mastery Learning model had a significant effect on both problem-solving ability and mathematical literacy ability.
Co-Authors Afizka, Khaila Al Ghifari Nasution, Habib Al Lifia, Dalifa Aldy Wijaya Alfito Fatihah Ali Mahdi, Azra Amalia, Tharisa Amanda, Putri Anisa Risanda Damanik Annisa Putri Lubis Aprilla Putri Arbiah Lubis, Nia Asruri, Selfi Assyifa Alfianda Astuti Handayani Atika Rahmah Atma Murni Atma Murni Aulia, Eka Auliya Amanda Avita Salsabila Ayu Angkat, Dhevy Kartika Ayu Pitaloka Saragi Batas Kaliropan Padang Br Munthe, Anisah Putri Cahyan Syari Cici Wulandari Sitorus Cyntia Suarni Arifin Dahlan, Nabila Adelia Dahlianasari Syahputri Damayani, Sri Dea Indriani Delima Della Amrina Yusra Desmi Fitri Syahdani Br Sitepu Devi Tri Lestari Dhea Tri Fadillah Dinda Dirany Pili, Maulidia Dwi Afri, Lisa Farizi Aqfi Fatimah Zahra Febrianto Siregar, Dandi Finuya, Haftinia Fitria Mardika Fitria, Nabila Fitriani Fitriani Ghifari, Muhammad Al Gultom, Fitri Harabiyah Hajar Marhani Harahap, Amelina Harahap, Ananda Aditya Sari Harahap, Habib Syarkowi Harahap, Marwah Mahfuzah Harahap, Nisaiy Darussakinah Harahap, Risky Parubahan Hartika Harahap, Afifah Hasibuan, Mega Utami hasibuan, Seri minta uba Hasibuan, Yenni Aprina Havidah Adawiyah Hasibuan Hendarto Cahyono Herdiyanti, Aulia Herlina Simangunsong Hidayati, Nadia Hikmah Fazariah Husna, Nur Aliyah Iin Natasya Divana Ginting Iramadhania, Fahira Irda Aulia Hadi Lubis Jasmine Arafah Lubis Juni Anggita Sipahutar Khairun Nisa Siregar Khairunnisa Tanjung Khoirunnisa Khoirunnisa Lidya Lina Yana Nababan Lisra Mahfirah Lola Manda Sari Lubis, Fidyan Hamdi Lubis, Khoirunnisa Lubis, Putri Lubis, Salwa Yurinanda M. Ariq Alwan Lubis M. Fahrozi Tanjung M. Fauzan Zannurrain Mahendra, Muhammad Yusril Mara Samin Lubis Mayang Nabila Miftahur Razzaq Milda Zohra Mismahella, Igris Moh. Mahfud Effendi Muhammad Fikri Almajid Munthe Muhammad Haikal Muhammad Rijal Hasan Harahap Muhammad Yusril Mahendra Mustika Nurbayeni Mutiara Arafah Nst Nabila Utami Nasution, Afifah Nabila Nasution, Alivia Ivo Amirah Ghania Nasution, Lilis Suryani Nasution, Pildia Nasution, Rizki Wahyudi Ningsih, Sri Rahayu Nisa, Khairidatun Nur Aisyah Hasibuan Nur Elisah Nasution Nur Indah Safitri Nurafnizar Nasution Nurhasanah, Claudia Nurul Ain Asnawati Nurul Ain Asnawati Nurul Choriah Tumanggor Nurul Fatma Dewi Mardianto Patimah Hasibuan Perangin-angin, Fanny Selfinta Pitaloka Saragi, Ayu Purba, Novi Wulandari Putri Anggraini Putri Handayani Putri Nabila Rustiyadi Putri Rahmadani Putri Yuanita Rahma Hz, Fathiyah Rahmayani Ritonga Rakhmawati, Fibri Rambe, Ahmadsyah Fauzian Rasyid Karo-Karo, Isran Reni Purnama Sari Retna Syahrani, Vania Riana Riana Ricky Syahdewa Rifa’i, Muhammad Rindi Fatmawati Ririn, Indah Riska Dewi, Riska Riskiyah, Anggi Indah Risna Putri Ariani Rizka Tri Andini Rizki Aprilia, Nabila Rizky Aulia Robiatul Adawiyah Roslina Harahap Sa&#039;ada Liani Sagala, Siti Aisyah Salsabila, yasmin Saprina Maulida Saputri, Lilis Sarmila Fitri Yanti Nasution Sastika, Weni Sazatul Asmal Sa’I Frida Rejeki Septi Ardianti Sibarani, Sariayu Simbolon, Novi Tari Siregar, Cristyani SIREGAR, ELIDA TUTI Siregar, Machrani Adi Putri Siregar, Septiani Agustina Siregar, Tanti Jumaisyaroh Siti Aisyah Siti Hotma Sari Pulungan Siti Jubaidah Siti Khadijah Nasution Siti Khoiruli Ummah Siti Maysarah Siti Nurmala Siti Zia Hadatul Hasanah Sitorus, Siti Fatimah Solin, Tia Ananda Sri Hadimiati, Ajeng Sri Hari Yanti Sri Rezeki Sri Rezeki Suci Dahlya Narpila, Suci Dahlya Suci Miranti Hakiki Sulthon Zulkarnain Siregar Syafira, Nanda Syafitri, Amaliya Syafrida Laylani Harahap Syahrani, Nur Syamfitri, Ade Syifa Husna Ramadhani Tanjung, Eka Elsiani Tanti Jumaisyaroh Siregar Tanti Jumaisyaroh Siregar Tasya Aulia Faisal Thania Wulandari Triana Turianda, Nanza Vani, Ziviska Wardani, Putri WINDA Wirdia, Indah Aini Wulan Dari, Wulan Yahfizham Yahfizham Yahfizham Yani, Nur Intan Amanda Yanti Ujung, Widya Yenni Aprina Hasibuan Yummy Jumianti Marsa Zamaiyah Zulayli Syahrani