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This research aims to identify the student's error in the completion of real analysis using Newman Error Analysis (NEA). The type of research is qualitative descriptive. Which research subjects were 22 students of the mathematics education study program of Universitas Negeri Gorontalo at VI semesters in the 2020/2021 academic year. Data-collection techniques using written tests and interviews. Data is analyzed with reduction, presentation, and drawing conclusion. The result of the study found 4 errors made by students in answering a problem based on NEA: (1) reading, (2) comprehension, (3) transformation, (4) and process skills. This identification can be used by lecturers teaching real analysis to consider supporting the courses and designing learning systems to minimize student errors in solving problems.

This study aims to determine student perceptions of the ideal mathematics learning during the covid-19 pandemic. This research is a qualitative descriptive study which was carried out using observation, questionnaire and interview techniques to 36 students of mathematics education class 2020 Gorontalo State University  who had participated in online learning for 2 semesters. The results showed that mathematics learning carried out during the covid-19 pandemic was still not ideal with a percentage of 91.6% due to the nature of difficult and abstract mathematics material and there were several repeated obstacles that occurred in the online learning process, namely: 1) teachers were less proficient in use of online platforms; 2) teaching is carried out using only sound (audio); 3) the internet network is less stable so that students cannot participate in online learning. The recommendations for the ideal mathematics learning are: 1) in the online learning process the teacher must be able to master (proficiently) use the online platform used; 2) teachers must be able to design innovative and fun learning by utilizing the features available on the platform or utilizing objects that are around students; 3) teachers can provide learning resources that can be accessed at any time so as to facilitate students in order not to miss the subject matter.

Abstract  This study aims to analyze student learning difficulties in advanced calculus courses. This research is a qualitative descriptive study which was conducted in December 2021using test, observation, questionnaire and interview techniques to 27 students of mathematics education class 2020 Gorontalo State University. The results showed that the number of students who obtained UTS score less than 75 reached 77.78% and the number of students who obtained an UAS score  less than 75 reached 66.66% and the percentage of students who did not pass the UTS and UAS was around 30%. This fact shows that there are students' difficulties in understanding advanced calculus material. Furthermore, based on the results of questionnaires, interviews, and observations obtained several aspects that cause learning difficulties, namely 1) the initial ability (prior knowledge) related to students' advanced calculus courses is low; 2) advanced calculus material which is abstract and difficult; 3) online learning methods have not taken place optimally Keyword: Analysis, mathematics learning difficulties   Abstrak   Penelitian ini bertujuan untuk menganalisis kesulitan belajar mahasiswa pada mata kuliah kalkulus lanjut. Penelitian ini merupakan penelitian deskriptif kualitatif yang dilaksanakan pada bulan Desember 2021 dengan teknik tes, observasi, kuesioner dan wawancara terhadap 27 mahasiswa pendidikan matematika angkatan 2020 Universitas Negeri Gorontalo. Hasil penelitian menunjukkan bahwa banyaknya mahasiswa yang memperoleh nilai UTS kurang dari 75 mencapai 77,78 %   dan banyaknya mahasiswa yang memperoleh nilai UAS kurang dari 75 mencapai 66,66% serta persentase mahasiswa yang tidak lulus pada UTS dan UAS berkisar 30%.  Fakta ini menunjukkan bahwa adanya kesulitan mahasiswa dalam memahami materi kalkulus lanjut. Selanjutnya berdasarkan hasil angket, wawancara, dan observasi diperoleh beberapa aspek yang menyebabkan kesulitan belajar yakni 1) kemampuan awal (prior knowledge) yang terkait dengan mata kuliah kalkulus lanjut mahasiswa rendah; 2) materi kalkulus lanjut yang  abstrak dan sulit; 3) metode pembelajaran daring belum berlangsung secara optimal. Kata Kunci: Analisis, kesulitan belajar matematika.

This study aims to determine student perceptions of the ideal mathematics learning during the covid-19 pandemic. This research is a qualitative descriptive study that was carried out using observation, questionnaire, and interview techniques with 36 students of mathematics education class 2020 at Gorontalo State University who had participated in online learning for 2 semesters. The results showed that mathematics learning carried out during the covid-19 pandemic was still not ideal with a percentage of 91.6% due to the nature of difficult and abstract mathematics material and there were several repeated obstacles that occurred in the online learning process, namely: 1) teachers were less proficient in the use of online platforms; 2) teaching is carried out using only sound (audio); 3) the internet network is less stable so that students cannot participate in online learning. The recommendations for the ideal mathematics learning are: 1) in the online learning process the teacher must be able to master (proficiently) use the online platform used; 2) teachers must be able to design innovative and fun learning by utilizing the features available on the platform or utilizing objects that are around students; 3) teachers can provide learning resources that can be accessed at any time so as to facilitate students in order not to miss the subject matter.