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Enhancing Students’ Mathematics Learning Outcomes through Problem-Based Learning Pardede, Agnes Pesta Kristiani; Tuerah, Philotheus E.A.; Ermita, Ermita; Shidiq, Galih Albarra
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 5 No. 4 (2025): October - December 2025
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v5i4.2975

Abstract

Low levels of student engagement and learning motivation have led to limited critical thinking skills, which in turn have affected students’ learning outcomes that remain below the Minimum Mastery Criteria (MMC). This study aims to determine whether students who received instruction through the Problem-Based Learning (PBL) model achieved higher mathematics learning outcomes than those taught using the conventional (lecture-based) model on the topic of Relations and Functions. This research employed a quasi-experimental method with a pretest–posttest control group design. Population consisted of eighth-grade students from SMP Negeri 3 Tondano, while the samples were class VIII-A (22 students) as the experimental group and class VIII-B (17 students) as the control group. The research instrument comprised written essay tests administered as pretests and posttests in both groups. Data were analyzed using inferential statistical procedures. Data were first tested for normality using the Liliefors test, followed by a homogeneity test (F-test). After both assumptions were met, an independent samples t-test (two-tailed) was performed to test the hypothesis. The results showed a statistically significant difference in mathematics learning outcomes between students who learned through the PBL model and those taught using the conventional lecture-based method. Therefore, it can be concluded that the implementation of the PBL model effectively enhances students’ mathematics learning outcomes on the topic of Relations and Functions, providing evidence that active, problem-oriented instruction can improve students’ conceptual understanding and achievement in mathematics.
Pengaruh Supervisi Kepala Sekolah Dan Motivasi Guru Terhadap Kinerja Guru di SMA Negeri 1 Tondano Rasu, Eslie Marlin; Tuerah, Philoteus E A; Usoh, Elni J
Jurnal Ilmiah Wahana Pendidikan Vol 10 No 14 (2024): Jurnal Ilmiah Wahana Pendidikan 
Publisher : Peneliti.net

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5281/zenodo.13377483

Abstract

Penelitian ini dilakukan dengan tujuan untuk mengetahui pengaruh supervisi kepala sekolah terhadap kinerja guru, pengaruh motivasi guru terhadap kinerja guru, dan pengaruh supervisi kepala sekolah dan motivasi guru secara simultan terhadap kinerja guru. Dalam penelitian ini, digunakan metode penelitian kuantitatif dengan jumlah sampel sebanyak 36 responden yaitu guru SMA Negeri 1 Tondano. Data dalam penelitian ini dianalisis dengan menggunakan analisis regresi linier berganda, dan untuk menguji hipotesis dilakukan dengan dua cara, yaitu uji parsial dan uji simultan. Selain untuk mengetahui pengaruh antar variabel, dalam penelitian ini juga disertakan uji koefisien korelasi yang berfungsi untuk melihat seberapa besar hubungan antar variabel serta uji koefisien determinasi untuk mengetahui seberapa besar konstribusinya. Hasil yang diperoleh dalam penelitian ini, yaitu terdapat pengaruh signifikan baik secara parsial maupun simultan dari variabel supervisi Kepala Sekolah (X1) dan Motivasi Guru (X2) terhadap Kinerja Guru (Y), hal tersebut mengartikan bahwa ketika terjadi peningkatan maupun penurunan pada Supervisi Kepala Sekolah maupun Motivasi Guru, maka akan berdampak juga pada peningkatan maupun penurunan pada Kinerja Guru.
TPS Type Cooperative Learning Model Based on PBL: Implementation and Influence on Mathematics Learning Amiman, Regita; Tuerah, Philoteus E. A.; Kaunang , Derel F.
Journal of Education Research Vol. 5 No. 1 (2024)
Publisher : Perkumpulan Pengelola Jurnal PAUD Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37985/jer.v5i1.923

Abstract

Students' problem-solving abilities in solving mathematics story problems could be much higher. Innovation and special studies are needed regarding learning models that can improve problem-solving abilities. This research aims to determine the differences in the test results of students' mathematical problem-solving abilities in solving story problems taught using the think pair share type cooperative learning model with the problem-based learning approach and the results of tests of students' mathematical problem-solving abilities taught using the conventional model on cube and block material. The subjects of this research are class VIIIA, which is taught using a think pair share type cooperative learning model with a problem-based learning approach, and class VIIIB, which uses a conventional learning model. The two classes are homogeneous or equal. The data in this study were taken from the pre-test and post-test results from both classes. Thus, the test results of students' ability to solve mathematical problems to solve story problems are better using the think pair share type cooperative learning model with a problem-based learning approach than the conventional learning model using cube and block material.
Kesalahan Siswa Dalam Mengerjakan Soal Cerita Sistem Persamaan Linear Berdasarkan Kriteria Watson Vikra Vikra; Philoteus E. A. Tuerah; Victor R. Sulangi
Simpati Vol. 2 No. 2 (2024): April : Jurnal Penelitian Pendidikan dan Bahasa
Publisher : CV. Alim's Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1341.543 KB) | DOI: 10.59024/simpati.v2i2.173

Abstract

This study tries to identify the faults and circumstances that lead students to miscalculate when attempting to solve word problems involving a system of linear equations with two variables using Watson's criteria. This kind of study employs qualitative, descriptive research methods. Data was gathered using a variety of methods, including analysis, interviews, documentation, and a written test with five-item description questions. Class VIII students from SMP Negeri 5 Tondano 2022/2023 served as the study's sources and subjects. They were chosen after careful consideration. Data analysis techniques in this study through data reduction, data presentation, and conclusions. The results showed that the students' errors were incorrect data, inappropriate procedures, response level conflicts, and skills hierarchy problems. The causative factors are that students are not careful when writing answers, students think that conclusions do not need to be written down, students forget how to change the story form questions into the form of mathematical models or the principles used are still wrong, students forget to write examples, students are wrong in operating numbers either subtraction, addition, division and multiplication, students forgot to write conclusions, students were unable to write down existing data, students did not know how to answer questions, students forgot to find x and y values using the substitution method, students used wrong marks in mathematics, students ran out of time when solving problems.
PENGARUH MODEL PEMBELAJARAN KOOPERATIF TIPE SNOWBALL THROWING TERHADAP HASIL BELAJAR SISWA PADA MATERI OPERASI BENTUK ALJABAR DI KELAS VII SMP NEGERI 2 TONDANO Hanna Juwita Sembiring; Philotheus E. A Tuerah; Cori Pitoy
SOSCIED Vol 8 No 2 (2025): SOSCIED - November 2025
Publisher : LPPM Politeknik Saint Paul Sorong

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32531/jsoscied.v8i2.1081

Abstract

This study aims to determine whether there is an effect of applying the Snowball Throwing cooperative learning model on mathematics learning outcomes in grade VII on the subject of Algebraic Operations at SMP Negeri 2 Tondano using quantitative research through an experimental method with two classes randomly selected as subjects. The research instrument was a post-test consisting of multiple-choice and essay questions that had been tested for validity and reliability. From the hypothesis testing using the t-test, tcount = 5.567 > ttable = 2.023, which means rejecting Ho. Therefore, it can be concluded that the average learning outcomes of students on the subject of algebraic operations using the Snowball Throwing model are higher than the average learning outcomes of students using the conventional learning model.
The Influence of Teacher Performance and School Environment on Elementary School Students Learning Outcomes in Cluster 1 Tikala District Manado City Miranda Christina Selvy Bella; Philotheus E. A. Tuerah; Juliana Margareta Sumilat
Poltanesa Vol 27 No 1 (2026): June 2026
Publisher : P3KM Politeknik Pertanian Negeri Samarinda

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51967/tanesa.v27i1.3784

Abstract

This study aims to analyze the influence of teacher performance and school environment on elementary school students’ learning outcomes in Cluster 1, Tikala District,Manado City. The research employed aquantitative approach using a survey method to obtain empirical data regarding the relationships among the variables studied. The research subjects were elementary school teachers in Cluster 1, Tikala District, Manado City, selected using proportional sampling to ensure that each school had a proportional opportunity to be included in the sample. Data were collected through questionnaires as research instruments, which had previously undergone validity and reliability testing to ensure their appropriateness. The collected data were analyzed using multiple linear regression analysis with the assistance of SPSS as a statistical analysis tool. The results indicate that teacher performance has a significant effect on students’ learning outcomes, and the school environment also significantly influences students’ learning outcomes. Simultaneously, teacher performance and school environment contribute significantly to improving students’ learning outcomes. These findings suggest that the improvement of students’ learning outcomes is influenced not only by teachers’ professionalism in implementing the learning process but also by the creation of a conducive, safe, and supportive school environment that enhances the effectiveness of teaching and learning activities.
A Systematic Literature Review of Mathematical Concepts in Hill Cipher-Based Cryptography for Mathematics Education Auriel A. Y. Tuerah; Vivian E. Regar; Philoteus E. A. Tuerah; Regina Pakpahan
Jurnal Pendidikan Terapan Vol 4, No 3 July (2026)
Publisher : Sakura Digital Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61255/jupiter.v4i3.1337

Abstract

Purpose: This study aims to systematically review the mathematical concepts represented in Hill Cipher-based cryptography and examine their applications and implications for mathematics education across different educational levels. Methods: A systematic literature review was conducted following the PRISMA 2020 guidelines. Literature searches were performed across five academic databases, yielding 1,247 initial records. Following identification, screening, eligibility assessment, and quality appraisal, 14 primary studies published between 2020 and 2023 were included for qualitative thematic synthesis. Findings: The review identified modular arithmetic, matrix multiplication, and matrix inversion as the predominant mathematical concepts represented in the reviewed studies. Modular arithmetic appeared in all 14 studies and was primarily associated with secondary-level mathematics, whereas matrix operations were predominantly implemented in undergraduate contexts. The reviewed studies reported educational applications including mathematics learning media, simulation-based learning, and project-based learning. However, only a limited number of studies explicitly investigated classroom implementation, while most focused on algorithmic development and technical applications. In addition, the available evidence was dominated by studies conducted in Indonesia, limiting the broader generalizability of the findings. Research Implications: This review provides a conceptual synthesis that connects mathematical concepts, classical cryptographic algorithms, and their potential educational applications. The findings may inform mathematics educators, teacher educators, and curriculum developers in designing contextual mathematics learning activities while also highlighting the need for more classroom-based empirical studies across diverse educational settings. Originality: Unlike previous reviews emphasizing cryptographic performance and algorithm development, this study synthesizes the educational dimensions of Hill Cipher-based cryptography by mapping the relationships among mathematical concepts, instructional applications, and research gaps. The review contributes an evidence-based conceptual framework to support future research and curriculum development in mathematics education.
Co-Authors Adinda Aprillia Makaluas Amiman, Regita Anetha L.F. Tilaar Auriel A. Y. Tuerah Axel Fricly Lompande Christy Genoveva Matialo Derel Filandy Kaunang Dondokambey, Clay J H Dondokambey, Rainier N Dondokambey, Rainier Nicko Dondokambey, Robby Dotulung, Reza A. W. Dunggio, Ullil Azmi Elni Usoh Ermita Ermita Galih Albarra Shidiq Hanna Juwita Sembiring I Wayan Damai Jacklin Stella Salome Manoppo James U.L. Mangobi Jhon R Wenas Jorry F Monoarfa Juliana Margareta Sumilat Kambu, Kornelius Kansil, Popy N. Kaunang , Derel F. Lady Fabiola Kaligis Laluas, Reivana Langi', Natalia Leban Laoh, Ireine Kesya Lauale, Arthur Zefanya Lentang, Dessy Endah Lihart Lumapow Liow, Evans S Lontaan, Angelita Virginia Lumapow, Harol R Manumpil, Yulit B Maringka, Riviva W Marthinus Mandagi Mersy Lesar Miranda Christina Selvy Bella Moh Qowi Namsa, Yohanis Navel Oktaviandy Mangelep Paath, Deicy Panungkelan, Florens S.T. Pardede, Agnes Pesta Kristiani Patricia V. J. Runtu Pesik , Aneke Pitoy, Cori Pricilian Lumintang Rahelga E. Mawikere Rambitan, Maya C. Rasu, Eslie Marlin Rasu, Zeslie Marlin Rattu, Olviane I. Ratumbuisang, Keith F Rawis, J A M Regina N Pakpahan Rina Mastalina Sinabutar Rosauli Novalina Samosir Rosiah J. Pulukadang Sakul, Ernest Hanny Samuel Wuisan Santje M. Salajang Santje M. Salajang Sauyai, Stanly F M Senduk, J.F Shelty D. M. Sumual Sisca B. Kairupan Siska Daniaty Siahaan Sylvia Jane Annatje Sumarauw Tendean, Sherly D Tengker, Melita Theno, Ignatius R Toar, Yisreel Yoel Tombokan, Praiscilia Ervine Vadilla mamahit Valentsia Gabrela Katihokang Victor R. Sulangi Victor R. Sulangi victor Sulangi Viki A. Sanggor Vikra Vikra Virginia V. Mumek Vivian E. Regar Wenas, John R. Wensi Ronald Lesli Paat Widdy Rorimpandey Wuisan, Samuel Wuwungan, Hansje T.