Triutami, Tabita Wahyu
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Proses Berpikir Kritis Mahasiswa dalam Memecahkan Masalah Investigasi Matematik Triutami, Tabita Wahyu; Eka Kurniawan; Nurul Hikmah; Gilang Primajati; Nyoman Lolly Tirta Sudibya
Mandalika Mathematics and Educations Journal Vol 7 No 2 (2025): Edisi Juni
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v7i2.9370

Abstract

Kemampuan berpikir kritis adalah salah satu kemampuan yang dibutuhkan di abad ke-21, sehingga menjadi seorang pemikir kritis merupakan salah satu tujuan sistem pendidikan di Indonesia saat ini. Hingga saat ini informasi yang tersedia mengenai deskripsi proses berpikir kritis calon guru matematika masih sangat terbatas. Di lain pihak, pembelajaran matematika dalam setiap jenjang pendidikan harus memberikan kesempatan untuk melakukan suatu kegiatan investigasi matematik. Tujuan dari penelitian ini adalah untuk mendeskripsikan proses berpikir kritis mahasiswa dalam memecahkan masalah investigasi matematika. Penelitian ini merupakan penelitian deskriptif yang menggunakan metodologi pendekatan campuran. Hasil penelitian menunjukkan bahwa terdapat 4 tahapan proses kognitif yang dilakukan mahasiswa ketika memecahkan soal investigasi matematik pada materi induksi matematika, yaitu spesialisasi, pendugaan, generalisasi, dan justifikasi. Pada tahap spesialisasi, mahasiswa cenderung mencoba beberapa kasus khusus untuk dapat menemukan pola secara umum. Pada tahap pendugaan, mahasiswa cenderung mencari pola dari beberapa kasus khusus yang ada untuk kemudian dirumuskan secara umum. Pada tahap generalisasi, mahasiswa merumuskan pola yang didapat secara umum. Terakhir, pada tahap justifikasi, mahasiswa membuktikan kebenaran rumus yang didapatkan dengan menggunakan induksi matematika. Beberapa kesalahan ditemukan dalam tahapan proses kognitif tersebut, antara lain kesalahan konseptual dan kesalahan procedural.
Studi Implementasi GeoGebra dan Blok Manipulatif sebagai Representasi Visual dan Konkret dalam Pembelajaran Pecahan Tyaningsih, Ratna Yulis; Salsabila, Nilza Humaira; Triutami, Tabita Wahyu
Mandalika Mathematics and Educations Journal Vol 7 No 2 (2025): Edisi Juni
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v7i2.9498

Abstract

Difficulties in understanding fraction concepts remain a significant challenge for elementary school students, primarily due to limitations in connecting abstract ideas with concrete experiences. This study aims to examine the implementation of GeoGebra and manipulatives blocks as visual and concrete representations in teaching fractions at SD Negeri 35 Ampenan. Employing a case study approach, the research involved 25 fourth-grade students as participants. Data were collected through observations, written tests, in-depth interviews, and documentation. The findings reveal: (1) an improvement in learning outcomes, indicated by an increase in average test scores from 72.2 (using manipulatives blocks) to 78.4 (using GeoGebra), representing an 8.6% gain; and (2) interviews with three students of varying ability levels suggested that concrete media (manipulatives blocks) were more effective for students with lower mathematical ability, while GeoGebra was preferred by students with stronger visual and conceptual skills. These findings suggest that the use of multiple representations can bridge understanding gaps and provide a more adaptive learning experience, particularly in teaching fractions. The study recommends integrating both visual and concrete media into mathematics instruction to enhance instructional effectiveness and strengthen student engagement.
Fraction Sense Mahasiswa dalam Perspektif Visualisasi dan Estimasi Wulandari, Nourma Pramestie; Lu'luilmaknun, Ulfa; Triutami, Tabita Wahyu; Novitasari, Dwi
Griya Journal of Mathematics Education and Application Vol. 5 No. 2 (2025): Juni 2025
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v5i2.662

Abstract

Fraction sense is a critical aspect of number sense, particularly for prospective mathematics teachers. This study aims to describe students’ fraction sense from two main perspectives: visualization and estimation strategies. The study employed a qualitative descriptive method involving 80 fourth-year mathematics education students. Data were collected through a fraction sense test and semi-structured interviews. The findings indicate that students’ overall fraction sense was moderate, with an average score of 37.2. Students demonstrated higher performance in estimation strategies (68%) compared to visual representation tasks (32%). Many students struggled to interpret visual fraction models, especially when presented in unfamiliar forms such as non-standard diagrams or number lines. The results suggest that students' thinking remains procedural and lacks conceptual flexibility. Therefore, it is recommended that visual representation be more explicitly integrated into teaching practices as a tool to support estimation and foster meaningful fraction sense.
Challenges in Designing Learning Media among Mathematics Education Students Salsabila, Nilza Humaira; Novitasari, Dwi; Triutami, Tabita Wahyu; Lu’luilmaknun, Ulfa; Kertiyani, Ni Made Intan; Oktavihari, Dita
Mandalika Mathematics and Educations Journal Vol 7 No 2 (2025): Edisi Juni
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v7i2.9630

Abstract

This study aims to describe the challenges or difficulties faced by mathematics education students in designing learning media, especially student worksheet, interactive presentation slides, and educational video. This research is a quantitative descriptive research with the subjects in this study are 4th semester students enrolled in the Mathematics Learning Technology course, as many as 23. Data collection was carried out through distributing questionnaires to students regarding their difficulties in developing media. The results showed that students experienced the most difficulties in developing educational videos compared to student worksheet, interactive presentation slides. The main difficulties in educational videos include technical skills such as editing, flow design, and application usage.
Analisis Kesalahan Penalaran Matematis pada Materi Pola Bilangan ditinjau dari Jenis Kelamin Ambia, Nurul; Kurniati, Nani; Triutami, Tabita Wahyu
Griya Journal of Mathematics Education and Application Vol. 5 No. 3 (2025): September 2025
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v5i3.750

Abstract

Penelitian ini bertujuan untuk mendeskripsikan jenis kesalahan penalaran dalam menyelesaikan masalah pola bilangan. Analisis kesalahan dilakukan berdasarkan prosedur penalaran matematis ditinjau dari jenis kelamin. Tahapan penalaran matematis dalam penelitian ini meliputi mengidentifikasi sebuah pola, membuat dugaan, memberikan bukti, dan memberikan argumen tanpa bukti. Subjek penelitian kelas VIII A dan VIII B SMPN 1 Pringgasela tahun ajaran 2024/2025 dipilih dengan purposive sampling. Untuk memperdalam hasil penelitian dipilih 3 siswa untuk setiap jenis kelamin. Instrumen dalam penelitian ini yaitu instrumen tes pola bilangan dan pedoman wawancara. Teknik analisis data menggunakan teknik analisis data kualitatif. Dari hasil penelitian diperoleh persentase kesalahan penalaran matematis yaitu: (i) siswa perempuan tahap mengidentifikasi sebuah pola 50%, membuat dugaan 33%, memberikan bukti 17%, dan memberikan argumen tanpa bukti 22%; (ii) siswa laki-laki tahap mengidentifikasi sebuah pola 22%, membuat dugaan 100%, memberikan bukti 67%, dan memberikan argumen tanpa bukti 56%; (iii) penyebab kesalahan siswa perempuan kurang teliti memahami soal dan kurang terbiasa dalam menyimpulkan hasil akhir; (iv) penyebab kesalahan siswa laki-laki karena kurang memahami materi pola bilangan, kurang teliti dalam perhitungan, kurang teliti memahami soal dan tidak terbiasa dalam menyimpulkan hasil akhir.
Pengembangan Media Pembelajaran Berbasis Website Berbantuan Geogebra untuk Meningkatkan Hasil Belajar Siswa pada Materi Geometri Renata, Zabina; Amrullah, Amrullah; Triutami, Tabita Wahyu
Mandalika Mathematics and Educations Journal Vol 7 No 3 (2025): Edisi September
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v7i3.9699

Abstract

The use of media in the learning process greatly affects students' learning outcomes. Geogebra can visualize geometric concepts as a learning medium. This research aims to develop a website-based learning media assisted by Geogebra to improve student learning outcomes on geometry material, specifically parallel lines and angles for the 8th grade at SMPN 2 Kuripan, which is valid and practical. The method used is research and development (R&D) with the 4D model developed by Thiagarajan, which includes the define stage, design stage, develop stage, and disseminate stage. The results from the questionnaires, interviews, and post-test learning outcomes were analyzed for validity, practicality, and effectiveness. The research results show that the developed media (1) is valid with very valid criteria; (2) practical with very practical criteria; (3) the learning outcomes of students using the Geogebra website are better than those of students who do not use the website as a medium. Based on the research, it can be said that the developed media is valid, practical, and effective in improving students' learning outcomes.