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Mandalika Mathematics and Educations Journal
Published by Universitas Mataram
ISSN : 27158292     EISSN : 27151190     DOI : 10.29303/jm
Core Subject : Education,
Mathematics
Mandalika Mathematics and Education Journal adalah Jurnal Matematika dan Pendidikan Matematika yang dikelola oleh Program Studi S1 Pendidikan Matematika FKIP Universitas Mataram. Fokus dan ruang lingkup dari jurnal ini adalah artikel ilmiah baik berupa hasil penelitian, review artikel maupun kajian pustaka khusus bidang Matematika dan Pendidikan Matematika.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 319 Documents
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Analisis Pemahaman Mahasiswa Terhadap Konsep Interval Dalam Mata Kuliah Analisis Real Christian Simanullang, Michael; Berutu, Jhosua; Indri Agista Lubis, Nazwah; Yolanda Marylandia Sitorus, Tabhita; Maria Munthe, Tiolina
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.v7i2.9071

Abstract

This study aims to analyze students' understanding of the concept of interval in the Real Analysis course, particularly in understanding the properties of intervals, such as supremum, infimum, and nested intervals. The research method used is a qualitative descriptive approach with a case study. Data were collected through proof-based essay tests, semi-structured interviews, and participant observation during the learning process using GeoGebra 3D AR. The sample consisted of 35 fourth semester students from the Mathematics Education program enrolled in the Real Analysis course. Data analysis was carried out with a thematic approach based on the APOS theory (Action, Process, Object, Schema). The results showed that most students struggled to transfer the visual understanding obtained through GeoGebra 3D AR into formal proofs. While 68.6% of students showed an improvement in visual understanding, only 8.5% could formally prove the property of nested interval intersections. The implications of this study highlight the importance of integrating interactive technology with deeper proof exercises, as well as the application of problem-based approaches to enhance understanding of the interval concept. The limitations of this study include the small sample size and the focus on one type of learning technology. Future research is recommended to explore the use of other technologies and more varied teaching methods.
Kemampuan Pemecahan Masalah: Analisis Pada Siswa SMP Anwar, Azwar; Margawari Novel; Suharni
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.v7i2.9075

Abstract

The aim of this qualitative research is to describe students' problem solving abilities in solving story problems in transformation material, namely reflection and translation. Problem solving ability has 4 indicators, namely: 1) identifying problems, 2) making plans, 3) implementing plans, and 4) checking again. The research was carried out in the odd semester of the 2024/2025 academic year. The research subjects consisted of 31 students in class IX-6 of SMPN 4 Tarakan who had been taught Transformation material. Then 3 students were selected who had problem solving abilities at high, medium and low levels. Data collection techniques used problem solving ability tests and interviews. This research's data analysis techniques include data reduction, data presentation, and drawing conclusions/verification. The results of the research show that students at the high level are able to fulfill all indicators of the 4 indicators of problem solving ability, namely indicators 1, 2, 3, and 4. Students at the medium level are able to fulfill 3 of the 4 indicators of problem solving ability, namely indicators 1, 2, and 3 . Students at low levels are only able to fulfill 2 indicators of problem solving ability, namely indicators 1 and 3.
Validitas Media Interaktif Berbasis Model PBL Menggunakan Aplikasi Geogebra Untuk Meningkatkan Kemampuan Literasi Numerasi Amri, Khairul; Dian Armanto; Edy Surya
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.v7i2.9080

Abstract

Penelitian ini bertujuan mengembangkan media interaktif berbasis model pembelajaran PBL (Problem Based Learning) menggunakan aplikasi Geogebra pada materi bangun datar untuk meningkatkan kemampuan literasi numerasi siswa kelas V sekolah dasar yang valid. Penelitian ini adalah penelitian dan pengembangan dengan model ADDIE (Analyze, Design, Development, Implementation dan Evaluation). Subjek dalam penelitian ini adalah siswa kelas V UPT SPF SDN 101990 Bangun Purba. Analisis data dilakukan dengan deskriptif kuantitatif fan kualitatif mengenai kevalidan media interaktif yang diperoleh dari lembar validasi oleh para ahli. Hasil penelitian menunjukkan bahwa media interaktif berbasis model PBL menggunakan aplikasi Geogebra untuk meningkatkan kemampuan literasi numerasi yang dikembangkan adalah media interaktif yang valid dengan skor validasi yakni (1) ahli bahasa sebesar 84% dengan kriteria valid, (2) ahli materi sebesar 82% dengan kriteria valid dan (3) ahli media sebesar 83% dengan kriteria valid. Dengan demikian, dapat dikatakan bahwa media interaktif berbasis model PBL menggunakan aplikasi Geogebra valid untuk meningkatkan kemampuan literasi numerasi berdasarkan hasil skor validasi yang diberikan oleh para ahli.
Kemampuan Representasi Matematis Siswa Dalam Menyelesaikan Masalah Persamaan Garis Lurus Ditinjau Dari Gaya Kognitif Siswa SMP Onis, Oniansy; Hayati, Laila; Lu'luilmaknun, Ulfa; Turmuzi, Muhammad
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.v7i2.9103

Abstract

Abstract Mathematical representation is the ability to express ideas or concepts in visual form (diagrams, graphs, pictures, tables). The cognitive style of students is also related to their mathematical representation, because the cognitive structure of students in remembering problems or processing information obtained during learning will vary. This study is a qualitative descriptive study that aims to describe students' mathematical representation abilities in solving mathematical problems of Field Dependent and Field Independent students. The subjects in this study were students of class VIII-A of SMP Negeri 11 Mataram. The results of this study show significant differences related to mathematical representation abilities in solving linear equation problems between students with FD and FI cognitive styles. FD students cannot solve problems if given problems that are different from the examples taught by the teacher and depend on guidance or direction from the teacher. While FI students can solve problems even though they are different from the examples taught by the teacher because they can use their own thinking without being guided by the method taught by the teacher and do not depend on teacher guidance. Then students with FI cognitive styles are more analytical in solving problems than students with FD cognitive styles. The instruments used in this study were GEFT test sheets, mathematical representation test questions, and validated interview guidelines.
Persepsi Mahasiswa Calon Guru Matematika Terhadap Soal Pembuktian Matematika Hakim, Fauziah; Sartika Arifin; Aprisal, Aprisal
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.v7i2.9105

Abstract

This study aims to investigate the perceptions of prospective mathematics teachers regarding proof-based learning from four aspects: conceptual understanding, the relevance of proofs in teaching, the challenges faced, and confidence in teaching proofs. Data were collected using a questionnaire completed by 65 students of the Mathematics Education Study Program at Unsulbar who took the Modern Algebra course in the 2024/2025 academic year. The results show that the majority of students recognize the importance of proofs for deepening mathematical understanding and as a reasoning tool. They also view proofs as relevant material for teaching in secondary schools. However, students reported difficulties in understanding the language and steps of proofs, as well as limitations in guidance. Additionally, the students' confidence level in teaching proofs was moderate, with many feeling pedagogically unprepared. These findings indicate the need for structured proof materials, intensive guidance, and specialized pedagogical training to enhance students’ abilities and confidence in teaching proofs. The implementation of hands-on practical experiences in secondary schools is also strongly recommended to support the readiness of prospective teachers.
Pengaruh Berfikir Reflektif Dan Self Confidence Terhadap Kemampuan Pemecahan Masalah Matematis Peserta Didik Kelas VIII SMPN 9 Mataram Tahun Ajaran 2024/2025 Apriani, Amelia; Ketut Sarjana; Ulfa Lu'luilmaknun; Nani Kurniati
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.v7i2.9121

Abstract

This study aims to determine the influence of reflective thinking and self-confidence on the mathematical problem-solving ability of grade VIII students of SMPN 9 Mataram for the 2024/2025 academic year. This research is a quantitative research with an ex-post facto (comparative causal) research method. The population of this study is 163 students in grade VIII of SMPN 9 Mataram for the 2024/2025 academic year. The sample used was 55 people who were determined using the cluster random sampling technique. The instrument in this study used a reflective thinking test in the form of description questions, self-confidence questionnaires and problem-solving ability tests in the form of description questions. The results of the study showed that there was a positive and significant relationship between reflective thinking and self confidence on the mathematical problem-solving ability of grade VIII students of SMPN 9 Mataram with a contribution of 49,9%. The results of this research are expected to be an input for teachers to develop learning that encourages students to think reflectively and build confidence in solving math problems. For students, it is important to continue to practice reflective thinking skills and increase self-confidence to support the achievement of optimal learning outcomes.
Proses Berpikir Konektif Mahasiswa dalam Membangun Koneksi Matematika pada Pemecahan Masalah Matematika Kontekstual Bertema Maritim M. Gunawan Supiarmo; Gilang Primajati; Dita Oktavihari
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.v7i2.9144

Abstract

Connective thinking is the process of building ideas to solve problems. This happens by connecting concepts and generalizing them to more complex mathematical problems. Connective thinking is also a stage of forming a thinking scheme that links mathematical ideas when building mathematical connections. This study aims to describe students' connective thinking abilities in building mathematical connections in solving contextual problems with a maritime theme. This study uses a descriptive qualitative approach with three student subjects selected based on different levels of ability. The main instrument is three contextual questions with the theme of ship navigation, which are analyzed through four indicators of connective thinking: cognition, formulation, inference, and reconstruction. The results indicate that high-ability students are able to go through all stages of connective thinking thoroughly and logically. Medium-ability students show an incomplete thinking process, while low-ability students experience difficulties at almost all stages. This study emphasizes the importance of contextual problems that integrates conceptual understanding and reflection to develop students' connective thinking abilities.
The Curve Estimation Nonparametric Regression Multiresponse Mixed with Truncated Spline, Fourier Series, and Kernel Sukran, Ade Matao; I Nyoman Budiantara; Vita Ratnasari
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.v7i2.9188

Abstract

This study formulates a nonparametric regression model for multiresponse data by combining three estimators: truncated spline, Fourier series, and kernel function. Each estimator captures specific characteristics. Truncated spline capture local traits with knot points, while fourier series capture periodic patterns and kernel estimators provide flexible smoothing for unknown functional forms. The model proposed is under an additive assumption where each predictor contributes independently to each response. Estimation is done with Weighted Least Squares (WLS) method which is efficient in managing the correlations between the multiresponse variables. The final multiresponse nonparametric regression curve estimator combining truncated spline, Fourier series, and kernel is given by \\hat{\mu} = \hat{f} + \hat{g} + \hat{h}\] obtained by solving the WLS optimization problem: [\min_{\boldsymbol{\beta}, \boldsymbol{\alpha}} \{ \boldsymbol{\varepsilon}' W \boldsymbol{\varepsilon} \} =\min_{\boldsymbol{\beta}, \boldsymbol{\alpha}} \left\{ (\mathbf{y}^* - U \boldsymbol{\beta} - Z \boldsymbol{\alpha})' W (\mathbf{y}^* - U \boldsymbol{\beta} - Z \boldsymbol{\alpha}) \right\}.\]. The solution to this problem results in the mixed estimator, which can be expressed as: \[\hat{\boldsymbol{\mu}} = E \mathbf{y} \quad \text{with} \quad E = UB + ZA + T.\]
Pengembangan E-LKPD dengan Model Discovery-Inquiry Learning untuk Meningkatkan Kemampuan Representasi Matematis Siswa Aulia, Kintan Wanda; Sutiarso, Sugeng; Rosidin, Undang
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.v7i2.9199

Abstract

This development research aims to produce a valid, practical, and effective E-Worksheet based on the discovery-inquiry learning model to enhance students’ mathematical representation ability. The urgency of this study is grounded in the low level of students’ mathematical representation ability and the limited availability of interactive learning media that can connect abstract concepts with real-world contexts. The use of a discovery-inquiry-based E-LKPD offers a potential solution by encouraging students’ active engagement in constructing understanding through exploration and concept discovery. The subjects of this research were seventh-grade students at SMP Negeri 4 Bandar Lampung during the 2024/2025 academic year. This study employed a Research and Development (R&D) method using the ADDIE development model. Data were collected through mathematical representation ability tests and analyzed using a t-test and N-Gain score. The developed E-LKPD was categorized as valid and practical. The effectiveness test showed that the E-LKPD significantly improved students’ mathematical representation ability, with an average N-Gain score of 0,561. Hypothesis testing t-test confirmed that the use of the discovery-inquiry-based E-LKPD is effective in enhancing students’ mathematical representation ability.
Penerapan Model Kooperatif Tipe Numbered Heads Together Untuk Meningkatkan Kemampuan Pemecahan Masalah Matematika Pada Siswa SMP Akase, Sisilia Fransisca; Machmud , Tedy; Pauweni, Khardiyawan A.Y.
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.v7i2.9203

Abstract

This Classroom Action Research was conducted at SMP Negeri 2 Suwawa during the 2024/2025 academic year, with 23 students from class VIII-3 as the research subjects. This research aims to evaluate applying the cooperative learning model type Numbered Heads Together (NHT) can enhance students’ mathematical problem-solving skills in the topic of ‘systems of Linear Equations in Two-Variable.’ Data collection techniques included observations and test, with research instruments consisting of teacher activity observation sheets, student activity observation sheets, and essay test questions. The research results indicate that the cooperative learning model of the Numbered Heads Together type is effective in improving students' mathematical problem-solving abilities, as evidenced by the increase in the percentage of students’ mathematical problem-solving test results from 69.57% to 78.26%, the percentage of teacher activity observation sheets from 58.33% to 91.67%, and the percentage of student activity observation sheets also increased from 54.55% to 90.91%. Based on the data analysis, it can be concluded that implementing the cooperative learning model type Numbered Heads Together has significantly enhanced students’ mathematical problem-solving skills.

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