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Rusi Ulfa Hasanah
Universitas Islam Negeri Sumatera Utara
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STUDI LITERATURE REVIEW: KESALAHAN DALAM PEMBUKTIAN MATEMATIS Salsabila, Yasmin; Hasanah, Rusi Ulfa; Retna Syahrani, Vania; Herdiyanti, Aulia
Relevan : Jurnal Pendidikan Matematika Vol 4 No 1 (2024): Relevan : Jurnal Pendidikan Matematika
Publisher : Yayasan Amanah Nur Aman

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Abstract

Pembuktian matematis menjadi ciri khusus dari kajian ilmu matematika sebagai respresentasi membahasakann matematika agar mudah lebih dipahami. Tujuan penelitian ini adalah menelaah, mengetahui, dan memahami berbagai jenis kesalahan dalam pembuktian matematis. Metode yang digunakan dalam penelitian ini adalah Study Literature Review atau tinjauan pustaka mengenai kesalahan-kesalahan pembuktian matematis meliputi materi yang ada dalam pembelajaran matematika yaitu geometri, teori bilangan, trigonometri, struktur aljabar, dan analisis real malalui Google Scholar dan SINTA beperingkat dari 1 sampai 6 yang diterbitkan dari tahun 2013 sampai 2023. Hasil penelitian menunjukkan bahwa jenis kesalahan pembuktian matematis yang dominan diantarnya kesalahan konsep, kesalahan prosedur dan kesalahan perhitungan.  ABSTRACT Mathematical proof is a special feature of the study of mathematics as a representation of discussing mathematics to make it easier to understand. The purpose of this research is to examine, know, and understand various types of errors in mathematical proof. The method used in this research is Study Literature Review or literature review on mathematical proof errors covering materials in mathematics learning, namely geometry, number theory, trigonometry, algebraic structure, and real analysis through Google Scholar and SINTA ranked from 1 to 6 published from 2013 to 2023. The results showed that the dominant types of mathematical proof errors included concept errors, procedural errors and calculation errors.
MENINGKATKAN KUALITAS PERKULIAHAN ANALISIS REAL MELALUI PENDEKATAN INTERAKTIF Turianda, Nanza; Hasanah, Rusi ulfa; Handayani, Putri
Relevan : Jurnal Pendidikan Matematika Vol 4 No 3 (2024): Relevan : Jurnal Pendidikan Matematika
Publisher : Yayasan Amanah Nur Aman

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Penelitian ini bertujuan untuk mengevaluasi dampak pendekatan interaktif terhadap kualitas perkuliahan Analisis Real, dengan fokus pada peningkatan pemahaman materi, kemampuan pemecahan masalah, dan keterlibatan mahasiswa. Tinjauan pustaka ini menyajikan kerangka teoritis dan penelitian terdahulu yang mendukung penggunaan pendekatan interaktif dalam perkuliahan Analisis Real. Pengumpulan data, reduksi data, tampilan data, diskusi, dan kesimpulan adalah tahapan-tahapan dari tinjauan literatur ini. Menurut analisis temuan dari 8 publikasi yang diterbitkan antara 2010 sampai 2021 menunjukkan bahwa, mahasiswa pendidikan matematika memiliki kesulitan memahami materinya serta dalam menyelesaikan soal maupun dalam menjalankan matakuliah hariannya. pendekatan interaktif menjadi strategi yang menjanjikan untuk meningkatkan kualitas perkuliahan Analisis Real. Diharapkan bahwa pendekatan interaktif ini dapat menghasilkan peningkatan signifikan dalam pemahaman materi, kemampuan pemecahan masalah, dan persiapan mahasiswa untuk tantangan di masa depan  ABSTRACT This research aims to evaluate the impact of an interactive approach on the quality of Real Analysis lectures, with a focus on increasing understanding of the material, problem solving abilities and student engagement. This literature review presents the theoretical framework and previous research that supports the use of an interactive approach in Real Analysis lectures. Data collection, data reduction, data display, discussion and conclusions are the stages of this literature review. According to an analysis of findings from 10 publications published between 2010 and 2021, it shows that mathematics education students have difficulty understanding the material as well as solving problems and carrying out their daily courses. An interactive approach is a promising strategy for improving the quality of Real Analysis lectures. It is hoped that this interactive approach can result in significant improvements in students' understanding of the material, problem-solving abilities, and preparation for future challenges.
ANALISIS JENIS KESALAHAN MAHASISWA DALAM PEMBUKTIAN MATEMATIS PADA MATA KULIAH ANALISIS REAL Dewi, Riska; Rusi Ulfa Hasanah; Riskiyah, Anggi Indah; Syahrani, Nur
Relevan : Jurnal Pendidikan Matematika Vol 4 No 2 (2024): Relevan : Jurnal Pendidikan Matematika
Publisher : Yayasan Amanah Nur Aman

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Abstract

Penelitian ini membahas analisis jenis kesalahan mahasiswa dalam pembuktian matematis pada mata kuliah Analisis Real. Metode yang digunakan adalah systematic literature review. Hasil SLR yang telah dilakukan oleh peneliti menyimpulkan jenis kesalahan yang dilakukan mahasiswa dalam pembuktian matematis terdiri atas empat yaitu (1) Kesalahan dalam membaca dan menafsirkan soal yang diberikan, (2) Kesalahan penalaran dan asumsi yang tidak tepat dalam pada pembuktian dengan kontradiksi, (3) Kesalahan dalam memilih alur pembuktian yang tepat, (4) Kesalahan mahasiswa dalam menyelesaikan soal baik pada tingkat ketelitian maupun pada alur pembuktian yang tepat. Penelitian ini menyoroti pentingnya pemahaman konsep matematika yang mendalam untuk menghindari kesalahan dalam pembuktian matematis. ABSTRACT  This research discusses the analysis of types of student errors in mathematical proof in the Real Analysis course. The method used is a systematic literature review. The results of the SLR carried out by researchers concluded that there were four types of errors made by students in mathematical proof, namely (1) Errors in reading and interpreting the questions given, (2) Errors in reasoning and inappropriate assumptions in proofs by contradiction, (3) ) Errors in choosing the correct proof flow, (4) Student errors in solving questions both at the level of accuracy and in the correct proof flow. This research highlights the importance of a deep understanding of mathematical concepts to avoid errors in mathematical proofs.
KAJIAN LITERATUR: PROBLEMATIKA PERKULIAHAN ANALISIS REAL Ali Mahdi, Azra; Ulfa Hasanah, Rusi; Lubis, Khoirunnisa; Arbiah Lubis, Nia
Relevan : Jurnal Pendidikan Matematika Vol 4 No 3 (2024): Relevan : Jurnal Pendidikan Matematika
Publisher : Yayasan Amanah Nur Aman

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Abstract

Tujuan dari tinjauan literatur ini adalah untuk meninjau penelitian-penelitian sebelumnya mengenai permasalahan pada perkuliahan analisis praktik. Penelitian ini menggunakan pendekatan tinjauan literatur. Penelitian-penelitian tersebut dianalisis dengan mempertimbangkan berbagai aspek seperti tahun publikasi dan materi penelitian. Dari hasil penelitian yang disajikan dan berdasarkan data yang disajikan, kami menyimpulkan bahwa permasalahan pada mata kuliah analisis praktik adalah rendahnya minat mahasiswa untuk belajar pada mata kuliah analisis real dan tidak mampu menghasilkan angka-angka yang dapat dikerjakan oleh mahasiswa. Kesulitan tercipta bagi mahasiswa karena bacaan pada mata kuliah analisis sebenarnya tidak memberikan bukti dan materi yang dibutuhkan pada mata kuliah analisis sebenarnya tidak terintegrasi. ABSTRACT The purpose of this literature review is to review previous research regarding problems in real analysis lectures. This research uses a literature review approach. These studies are analyzed by considering various aspects such as year of publication and research material. From the research results presented and based on the data presented, we conclude that the problem in practical analysis courses is the low interest of students in studying practical analysis courses and the inability to produce numbers that students can work with. Difficulties are created for students because the reading in the analysis course does not actually provide evidence and the material required in the analysis course is not actually integrated.
KAJIAN LITERATUR: KEMAMPUAN PEMBUKTIAN MATEMATIS MAHASISWA PADA MATA KULIAH ANALISIS REAL Mismahella, Igris; Ulfa Hasanah, Rusi; Al Ghifari Nasution, Habib; Lidya
Relevan : Jurnal Pendidikan Matematika Vol 4 No 3 (2024): Relevan : Jurnal Pendidikan Matematika
Publisher : Yayasan Amanah Nur Aman

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Artikel ini mengkaji penelitian yang ada tentang bagaimana siswa mengembangkan kemampuan mereka untuk membangun bukti matematika di kelas analisis nyata. Artikel ini berfokus pada analisis studi sebelumnya yang diterbitkan tentang topik ini. Studi-studi ini dibandingkan berdasarkan faktor-faktor seperti tahun mereka diterbitkan, konsep spesifik yang dibahas, dan temuan yang terkait dengan\ keterampilan bukti siswa. Artikel tersebut mengungkapkan bahwa siswa sering berjuang dengan memahami dan menggunakan ide-ide matematika dalam analisis nyata. Tantangan ini termasuk kesulitan memahami dan mengikuti langkah-langkah yang terlibat dalam pembuktian, menerapkan teknik pembuktian yang berbeda dengan benar, dan mengingat berbagai bentuk pembuktian. Banyak siswa juga memiliki kesalahpahaman tentang bukti. Sementara beberapa siswa dapat menjawab pertanyaan berbasis bukti dengan sukses, sebagian besar terus mengalami kesulitan memahami konsep yang mendasarinya. ABSTRACT  This literature review aims to examine research related to students' mathematical proof ability in real analysis courses. A literature review is the type of research approach used in this study. The studies are analyzed by considering several aspects, namely the year of publication, research material, and research results related to mathematical proof ability. From the research results presented, it appears that students face various challenges in understanding and applying mathematical concepts in real analysis courses, starting from the difficulty in understanding the steps of proof and applying them systematically, remembering the forms of mathematical proofs and applying them correctly to misconceptions that many students experience. Although there are some students who are able to answer correctly, many still have difficulty in understanding the concepts.
KAJIAN LITERATUR : MODEL PEMBELAJARAAN KOOPERATIF MELALUI LESSON STUDY DALAM MENINGKATKAN PERKULIAHAN ANALISIS REAL Asruri, Selfi; Hasanah, Rusi Ulfa; Amanda, Putri; Vani, Ziviska
Relevan : Jurnal Pendidikan Matematika Vol 4 No 3 (2024): Relevan : Jurnal Pendidikan Matematika
Publisher : Yayasan Amanah Nur Aman

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Abstract

Analisis  Real adalah salah satu mata kuliah yang diberikan pada mahasiswa program studi pendidikan matematika yang didesain dalam model pembelajaran kooperatif berbasis lesson study dan dapat meningkatkan kualitas  perkuliahan  Analisis Real mahasiswa. Kegiatan Lesson study pada mata kuliah Analisis Real  dimulai dari plan (perencanaan), Do (pelaksanaan) dan See (Refleksi). Tujuan penelitian ini ialah untuk melihat kualitas perkuliahan Analisis Real mahasiswa melalui model pembelajaran Kooperatif berbasis lesson study. Metode yang digunakan dalam penelitian ini dengan menggunakan kajian literatur, peneliti mencari data dari jurnal yang relevan mengenai model pembelajaran kooperatif  lesson Study dalam meningkatkan perkuliahan Analisis Real yang kemudian dikaji dan dilampirkan pada bagian hasil dan pembahasan hingga menghasilkan suatu kesimpulan. Dari hasil pengamatan dari beberapa jurnal yang relavan ternyata bahwa model pembelajaran kooperatif berbasis lesson study dapat meningkatkan aktivitas dan kualitas perkuliahan Analisis Real pada mahasiswa pendidikan matematika. ABSTRACT Real Analysis is one of the courses given to students in the mathematics education study program which is designed in a cooperative learning model based on lesson study and can improve the quality of students' Real Analysis lectures. Lesson study activities in the Real Analysis course start from plan (planning), Do (implementation) and See (Reflection). The aim of this research is to see the quality of students' Real Analysis lectures through a cooperative learning model based on lesson study. The method used in this research is literature review, the researcher looks for data from relevant journals regarding the lesson study cooperative learning model in improving Real Analysis lectures which is then studied and attached to the results and discussion section to produce a conclusion. From the results of observations from several relevant journals, it turns out that the cooperative learning model based on lesson study can increase the activity and quality of Real Analysis lectures for mathematics education students.
STUDI LITERATUR REVIEW: KESULITAN BELAJAR MAHASISWA PENDIDIKAN MATEMATIKA Br Munthe, Anisah Putri; Hasanah, Rusi Ulfa; Ayu Angkat, Dhevy Kartika; Solin, Tia Ananda
Relevan : Jurnal Pendidikan Matematika Vol 4 No 3 (2024): Relevan : Jurnal Pendidikan Matematika
Publisher : Yayasan Amanah Nur Aman

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Penelitian ini dilakukan untuk mengetahui letak kesulitan belajar mahasiswa pendidikan matematika yang menjadi perhatian penting dalam pengembangan pendidikan matematika. Berbagai faktor internal dan eksternal mempengaruhi kesulitan belajar ini, termasuk kemampuan individu dan lingkungan belajar. Metode yang digunakan pada penelitian ini adalah metode literatur. Pengumpulan data dilakukan dengan mendokumentasikan semua artikel yang memiliki penelitian serupa dengan laporan penelitian ini. Hasil penelitian ini menunjukkan bahwa kesulitan belajar mahasiswa dalam mata pelajaran matematika merupakan masalah yang kompleks dan signifikan. ABSTRACT This research was conducted to determine the learning difficulties of mathematics education students which are an important concern in the development of mathematics education. Various internal and external factors influence these learning difficulties, including individual abilities and the learning environment. The method used in this research is the literature method. Data collection was carried out by documenting all articles that had research similar to this research report. The results of this research indicate that student learning difficulties in mathematics are a complex and significant problem.
PENGARUH PENDEKATAN OPEN-ENDED DAN KONTEKSTUAL TERHADAP KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA Hartika Harahap, Afifah; Siregar, Machrani Adi Putri; Hasanah, Rusi Ulfa
Relevan : Jurnal Pendidikan Matematika Vol 4 No 4 (2024): Relevan : Jurnal Pendidikan Matematika
Publisher : Yayasan Amanah Nur Aman

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Abstract

Penelitian ini dilakukan untuk mengetahui apakah terdapat pengaruh pendekatan open-ended dan pendekatan kontekstual terhadap kemampuan pemecahan masalah matematis siswa dikelas VII MTs Amaliyah Sunggal. Penelitian ini merupakan penelitian kuantitatif jenis quasi eksperimen. Pengolahan data dilakukan dengan menggunakan aplikasi SPSS. Hasil penelitian menunjukkan bahwa terdapat pengaruh yang signifikan antara pendekatan open-ended dan pendekatan kontekstual terhadap kemampuan pemecahan masalah matematis siswa MTs Amaliyah Sunggal. Hal tersebut ditunjukkan dengan nilai sig. (2-tailed) < 0,05 (0,000 < 0,05) maka H0 ditolak. Hasil penelitian ini menunjukkan bahwa penerapan hipotesis alternatif (Ha) menunjukkan adanya pengaruh dari pendekatan open-ended dan pendekatan kontekstual terhadap kemampuan pemecahan masalah matematis siswa, namun menolak hipotesis nol (H0) menunjukkan bahwa tidak terdapat pengaruh. ABSTRACT This study was conducted to determine whether there is an influence of the open-ended approach and the contextual approach on the mathematical problem-solving abilities of students in class VII MTs Amaliyah Sunggal. This study is a quantitative study of the quasi-experimental type. Data processing was carried out using the SPSS application. The results of the study indicate that there is a significant influence between the open-ended approach and the contextual approach on the mathematical problem-solving abilities of students at MTs Amaliyah Sunggal. This is indicated by the sig. value. (2-tailed) <0.05 (0.000 <0.05) then H0 is rejected. The results of this study indicate that the application of the alternative hypothesis (Ha) shows that there is an influence of the open-ended approach and the contextual approach on students' mathematical problem-solving abilities, but rejecting the null hypothesis (H0) indicates that there is no influence.
PROBLEMATIKA PERKULIAHAN ANALISIS REAL: STUDI LITERATUR REVIEW: Real Analysis Lecture Problematics: Literatur Review Study Rambe, Ahmadsyah Fauzian; Hasanah, Rusi Ulfa; Aisyah, Nur; Dari, Wulan
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.v2i2.74

Abstract

This article was prepared with the aim of analyzing the problems that occur in real analysis lectures experienced by undergraduate mathematics or mathematics education students. This research is a literature study research with the method used, namely Systematic Review (SR) or generally called Systematic Literature Review (SLR) which focuses on real analytical problems, which begins by identifying and evaluating literature that is relevant to the problem being discussed. Data analysis was carried out using an interactive model which uses 4 steps in the analysis stages, namely: 1) Data collection, 2) Data condensation, 3) Data presentation and 4) Data verification (conclusion). This research identified 5 previous articles. The problems that exist in the real analysis lectures of the five are: students still don't understand the purpose and purpose of the questions, so they can't solve the questions well and the factor that makes them not understand is because they don't understand the pre-requisite material such as sets, number systems and others. Another problem is that they cannot understand and use mathematical language, and they also do not understand mathematical notation. To overcome this problem, the lecturer must know whether the students have understood the pre-requisite material for real analysis or not, because if students do not understand it, in the future it will definitely be difficult for them to understand the material or prove theorems and so on. Apart from that, you can apply lesson study and give students an explanation first regarding the material being studied, then practice.
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.
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 Asnawati, Nurul Ain 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 Br Munthe, Anisah Putri Cahyan Syari Cici Wulandari Sitorus Cyntia Suarni Arifin Dahlianasari Syahputri Damayani, Sri Dea Indriani Delima 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 Hajar Marhani Harahap, Amelina Harahap, Marwah Mahfuzah Harahap, Nisaiy Darussakinah Hartika Harahap, Afifah Hasibuan, Mega Utami Hasibuan, Yenni Aprina Havidah Adawiyah Hasibuan Hendarto Cahyono Herdiyanti, Aulia Hidayati, Nadia Hikmah Fazariah Husna, Nur Aliyah Irda Aulia Hadi Lubis Juni Anggita Sipahutar Khairun Nisa Siregar Khairunnisa Tanjung Khoirunnisa Khoirunnisa Lidya Lina Yana Nababan Lisra Mahfirah Lubis, Fidyan Hamdi Lubis, Khoirunnisa Lubis, Salwa Yurinanda M. Fahrozi Tanjung M. Fauzan Zannurrain Mahendra, Muhammad Yusril Mardika, Fitria Mayang Nabila Miftahur Razzaq Milda Zohra Mismahella, Igris Moh. Mahfud Effendi 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 Ningsih, Sri Rahayu Nisa, Khairidatun Nur Aisyah Nur Aisyah Hasibuan Nur Elisah Nasution Nur Indah Safitri Nurafnizar Nasution Nurhasanah, Claudia 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 Yuanita Rambe, Ahmadsyah Fauzian Rasyid Karo-Karo, Isran Reni Purnama Sari Retna Syahrani, Vania Riana Riana Rifa’i, Muhammad Rindi Fatmawati Riska Dewi, Riska Riskiyah, Anggi Indah Risna Putri Ariani Rizka Tri Andini Sa&#039;ada Liani Sagala, Siti Aisyah Salsabila, yasmin Saprina Maulida Sarmila Fitri Yanti Nasution Sastika, Weni Sazatul Asmal Sa’I Frida Rejeki Septi Ardianti Siregar, Machrani Adi Putri Siregar, Septiani Agustina Siregar, Tanti Jumaisyaroh Siregar, Tanti Jumaisyaroh Siti Hotma Sari Pulungan Siti Jubaidah Siti Khadijah Nasution Siti Khoiruli Ummah Siti Maysarah Siti Nurmala Siti Zia Hadatul Hasanah Solin, Tia Ananda Sri Hadimiati, Ajeng Sri Hari Yanti Suci Miranti Hakiki Sulthon Zulkarnain Siregar Syafira, Nanda Syafitri, Amaliya Syafrida Laylani Harahap Syahrani, Nur Syamfitri, Ade Syifa Husna Ramadhani Tanti Jumaisyaroh Siregar Tasya Aulia Faisal Thania Wulandari Triana Turianda, Nanza Vani, Ziviska Wardani, Putri WINDA Wirdia, Indah Aini Wulan Dari, Wulan Yahfizham Yanti Ujung, Widya Yenni Aprina Hasibuan Zulayli Syahrani