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All Journal EDU-MAT: Jurnal Pendidikan Matematika JURNAL EKSAKTA PENDIDIKAN (JEP) Journal of Mathematics UNP
Helma Helma
Universitas Negeri Padang
Agriculture, Biological Sciences & Forestry Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Education Mathematics Physics Other

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Computational Thinking Analysis of 21st Century Professional Teacher Candidates In Solving Math Problems Viewed from The Four Foundations of CT Saddam Al Aziz; Ahmad Fauzan; Helma Helma
JURNAL EKSAKTA PENDIDIKAN (JEP) Vol 7 No 2 (2023): JEP (Jurnal Eksakta Pendidikan)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/jep/vol7-iss2/779

Abstract

Computational Thinking (CT) is a further development which is the latest innovation in mathematical problem-solving skills. Four foundations of CT make it easier for someone to solve problems effectively, efficiently, and optimally. This mixed methods research with an embedded design. Quantitative data were collected using tests and qualitative data through written interviews and an overview of the prospective teacher's thought processes in answering tests. The sample that became the research subject was selected using the purposive sampling method by selecting 28 pre-service teacher's mathematics in Professional Teacher Education (PTE) who attended CT lectures. The object of this research is the 4 CT foundations of prospective teachers in solving math problems. This study describes how CT skills solve problems. The test results show that the percentage of correct answers for each of the four CT foundations is more than 80%. It can be concluded that the knowledge and understanding of Computational Thinking for 21st-century professional teacher candidates in terms of 4 CT foundations are categorized as "very high". Based on the description of the student's answers, it was also concluded that the CT foundation is indeed the basis for thought processes in solving problems. It is the advantage of Computational Thinking.
MENELUSURI KESULITAN MAHASISWA DALAM PEMBUKTIAN MATEMATIS PADA PERKULIAHAN PENGANTAR ANALISIS REAL Dewi Murni; Yerizon Yerizon; Ahmad Fauzan; Elita Zusti Jamaan; I Made Arnawa; Helma Helma
EDU-MAT: Jurnal Pendidikan Matematika Vol 13, No 2 (2025)
Publisher : Universitas Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/edumat.v13i2.22776

Abstract

Pembuktian matematis merupakan elemen kunci dalam pendidikan matematika tingkat lanjut dan menjadi fokus utama dalam perkuliahan Pengantar Analisis Real. Namun, banyak mahasiswa mengalami kesulitan dalam memahami konsep dasar, menghubungkan definisi dengan teorema, serta menyusun pembuktian secara runtut, sehingga memengaruhi penguasaan mereka terhadap mata kuliah ini. Penelitian ini bertujuan menelusuri kesulitan mahasiswa dalam memahami soal pembuktian, melaksanakan proses pembuktian, dan menarik kesimpulan dari hasil pembuktian. Jenis penelitian yang digunakan adalah metode campuran (mixed methods), yang menggabungkan pendekatan kuantitatif dan kualitatif. Subjek penelitian adalah satu kelas mahasiswa Jurusan Matematika, Program Studi Pendidikan Matematika, FMIPA, Universitas Negeri Padang yang menempuh mata kuliah Pengantar Analisis Real pada semester Januari–Juni 2024, dengan jumlah 35 mahasiswa. Dari jumlah tersebut, enam orang mahasiswa dipilih sebagai responden wawancara. Instrumen yang digunakan adalah tes soal pembuktian dan lembar wawancara. Data tes (rentang 1-100) dikategorikan dengan nilai 1 sampai dengan 4 berdasarkan rubrik penilaian yang terdapat dalam standar operasional prosedur penilaian UNP. Data wawancara dianalisis menggunakan analisis deskriptif. Hasil penelitian menunjukkan bahwa pada proses pembuktian diperoleh kesulitan mahasiswa: dalam memahami soal pembuktian sebanyak 44,83%, dalam melaksanakan pembuktian sebanyak 52,49%, dan dalam membuat kesimpulan hasil pembuktian sebanyak 65,52%. Analisis jawaban mahasiswa menunjukkan bahwa kesulitan utama terletak pada: kesalahan memahami premis soal, penggunaan definisi irisan yang tidak benar, penyusunan argumen pembuktian yang tidak sistematis, serta penarikan kesimpulan yang tidak didasarkan pada langkah-langkah yang benar. Kata kunci: pembuktian matematis, analisis real, kesulitan mahasiswa. Abstract: Mathematical proof is a key element in advanced mathematics education and is the main focus of the Introduction to Real Analysis course. However, many students experience difficulties in understanding basic concepts, connecting definitions to theorems, and constructing proofs coherently, thus affecting their mastery of this course. This study aims to explore students' difficulties in understanding proof problems, carrying out the proof process, and drawing conclusions from the proof results. The type of research used is a mixed methods study, combining quantitative and qualitative approaches. The subjects were a class of 35 students from the Mathematics Department, Mathematics Education Study Program, Faculty of Mathematics and Natural Sciences, Padang State University, who took the Introduction to Real Analysis course in the January–June 2024 semester. Of these, six students were selected as interview respondents. The instruments used were a proof test and an interview sheet. Test data (range 1–100) were categorized with a score of 1 to 4 based on the assessment rubric contained in the UNP assessment standard operating procedures. Interview data were analyzed using descriptive analysis. The results of the study showed that in the proof process, students found difficulties: in understanding the proof questions as much as 44.83%, in carrying out the proof as much as 52.49%, and in drawing conclusions from the proof results as much as 65.52%. Analysis of student answers showed that the main difficulties lay in: misunderstanding the question premise, using incorrect intersection definitions, compiling unsystematic proof arguments, and drawing conclusions that were not based on correct steps. Keywords: mathematical proff; real analysis; student struggles; proof construction
Co-Authors Ahmad Fauzan Dewi Murni Elita Zusti Jamaan Febrianti Febrianti Gustrio Zampurnama I Made Arnawa Indri Putri Pratama Ira Elisa Jihad Lillah Lila Syafira Mega Nurhalizah Mira Mainerlis Nursyam Putri Anisah Rahmadani Agung Prasetyo Rahmah Aziz Rahmi Biuty Riva Hani Rifa’atul Hamda Saddam Al Aziz Silvia Hanifah Derisna Tia Istiramadhani Tiara Angela Hanami Tika Mijayanti Yerizon Yerizon yulistia rahmadani Zainuriadi Zainuriadi