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All Journal JSME MIPA UNIMA Jurnal Pendidikan Matematika dan IPA Jurnal Pendidikan Matematika Delta-Pi : Jurnal Matematika dan Pendidikan Matematika Jurnal Pengukuran Psikologi dan Pendidikan Indonesia (JP3I) EDU-MAT: Jurnal Pendidikan Matematika Math Didactic: Jurnal Pendidikan Matematika Formatif: Jurnal Ilmiah Pendidikan MIPA Jurnal Cendekia : Jurnal Pendidikan Matematika Journal on Education de Fermat : Jurnal Pendidikan Matematika Jurnal Pendidikan dan Konseling Jurnal Sains Riset SOSCIED Jurnal Sosial Humaniora Sigli Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Jurnal Evaluasi dan Pembelajaran Jurnal Riset dan Inovasi Pembelajaran MARISEKOLA: Jurnal Matematika Riset Edukasi dan Kolaborasi Dharmas Education Journal (DE_Journal) Kognitif: Jurnal Riset HOTS Pendidikan Matematika Edu Cendikia: Jurnal Ilmiah Kependidikan Education Journal: General and Specific Research Inspirasi Dunia: Jurnal Riset Pendidikan dan Bahasa Sora Journal of Mathematics Education Jurnal Pengabdian Masyarakat dan Riset Pendidikan Jurnal Pendidikan, Bahasa dan Budaya
Anetha L.F. Tilaar
Jurusan Matematika FMIPA Universitas Negeri Manado
Agriculture, Biological Sciences & Forestry Humanities Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Environmental Science Languange, Linguistic, Communication & Media Library & Information Science Materials Science & Nanotechnology Mathematics Physics Public Health Social Sciences Other

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Penerapan Model Pembelajaran Blended Learning untuk Meningkatkan Hasil Belajar Siswa Materi SPLDV di SMP Negeri 2 Langowan Tendean, Livinia; Tilaar, Anetha L.F.; Kumesan, Selfie L.
MARISEKOLA: Jurnal Matematika Riset Edukasi dan Kolaborasi Vol. 4 No. 1: April 2023
Publisher : Jurusan Matematika FMIPA Universitas Negeri Manado

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.53682/marisekola.v4i1.4772

Abstract

Penelitian ini dilatar belakangi dari hasil pengamatan yang dilakukan selama PPL 2 di SMP Negeri 2 Langowan dimana akibat pandemi covid-19 menyebabkan kurangnnya tatap muka sehingga mengakibatkan hasil belajar siswa menurun. Penelitian ini bertujuan untuk mengetahui hasil belajar siswa yang diajar menggunakan model blended learning dan pembelajaran konvensional pada materi SPLDV. Jenis penelitian ini adalah penelitian eksperimen dengan pendekatan kuantitatif, dengan desain penelitian Quasi Experiment Design. Populasi pada penelitian ini adalah seluruh siswa kelas VIII SMP Negeri 2 Langowan dengan jumlah 82 siswa. Sampel yang digunakan diambil dari 2 kelas yang normal dan homogen, yaitu kelas VIII B sebagai kelas eksperimen sebanyak 27 siswa dan kelas VIII C sebagai kelas control sebanyak 25 siswa. Data hasil penelitian dihitung menggunakan microsoft excel dengan uji-t dan menunjukan bahwa nilai thitung = 6,963072781 > ttabel = 2,008559072 dengan taraf nyata α = 0,05 ini berarti H0 ditolak. Dengan ini dapat disimpulkan bahwa, penerapan model pembelajaran blended learning dapat meningkatkan hasil belajar siswa materi pokok SPLDV di SMP Negeri 2 Langowan.
Development of Quick Count Math Educational Game–Based Media for Learning Integers Mangamis, Freiti; Tilaar, Anetha L.F.; Sumarauw, Sylvia J.A.
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.v5i4.2482

Abstract

In response to students’ persistent difficulties in understanding integer operations and the limited use of engaging digital game-based media in mathematics classrooms, this study aims to develop “Quick Count Math,” an educational game-based instructional medium on the topic of integers for seventh-grade junior high school students. The study employed a Research and Development (R&D) design using the Four-D model, which consists of the define, design, develop, and disseminate stages. The game is designed to support learning of integer operations (addition, subtraction, multiplication, and division) through interactive challenges, gradually increasing levels of difficulty, immediate feedback, and appealing visuals. The results indicate that “Quick Count Math” meets the criteria of validity, practicality, and effectiveness. Expert review yielded validity scores of 85% for media aspects and 100% for content aspects, both categorized as very high. In addition, the game was reported to be easy to use by students and was effective in improving their understanding and learning outcomes on the integer topic, with an effectiveness score of 86%. These findings suggest that “Quick Count Math” can serve as an engaging and effective alternative digital medium for teaching mathematics in seventh-grade junior high school classes and contribute to the literature on game-based mathematics learning by offering a validated design that can be adapted to other topics and grade levels.
Development of Student Worksheets in Mathematics Learning of Grade XII Statistics Materials with Project Based Learning Model Meisy Wijayanti Mokoagow; Anetha L. F. Tilaar; Ontang Manurung
Edu Cendikia: Jurnal Ilmiah Kependidikan Vol. 5 No. 01 (2025): Research Articles, April 2025
Publisher : ITScience (Information Technology and Science)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47709/educendikia.v5i01.5699

Abstract

Mathematics education in Indonesia, particularly in high schools, faces significant challenges in improving students' understanding of abstract concepts, especially in statistics. The lack of practical application and the focus on memorization of formulas hinder students' ability to relate mathematical concepts to real-life situations. To address these challenges, Project-Based Learning (PjBL) is proposed as an effective approach that engages students in real-world projects, encouraging active participation, critical thinking, and the application of mathematical concepts. This study employs the Research and Development (R&D) method with the ADDIE model (Analysis, Design, Development, Implementation, Evaluation) to develop a Student Worksheet (LKPD) based on PjBL for teaching statistics in class XII at SMK Kesehatan Bulawan. The development process includes analyzing the curriculum, student characteristics, and learning goals, followed by designing, validating, and revising the LKPD. The product is then implemented in a small group trial and evaluated for its validity, practicality, and effectiveness through expert validation, practical questionnaires, and student learning tests. The LKPD received very high validity, with expert validation scores of 95% for content and 90% for design, resulting in an average score of 92.5%. Practicality assessments showed a 91.5% average, indicating the LKPD was easy to use by both teachers and students. The effectiveness of the LKPD was confirmed by an 80% average student achievement rate, with 80% of students meeting the KKM (Minimum Completeness Criteria). The developed LKPD based on PjBL is highly valid, practical, and effective for improving students' understanding of statistics, making it a suitable tool for enhancing mathematics education in SMK.
IMPLEMENTATION OF THE COLLABORATIVE PROBLEM SOLVING (CPS) LEARNING MODEL IN MATHEMATICS INSTRUCTION ON THE TOPIC OF SYSTEMS OF TWO-VARIABLE LINEAR EQUATIONS (SPLDV) Dosniroha, Devitha; Sulistyaningsih, Murni; Tilaar, Anetha L.F.
Jurnal Pendidikan Matematika dan IPA Vol 17, No 1 (2026): January 2026
Publisher : Universitas Tanjungpura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26418/jpmipa.v17i1.104388

Abstract

This study aims to identify whether the average learning outcomes of students who learn using the Collaborative Problem-Solving learning model are higher than the average learning outcomes of students who learn using the Direct learning model (lecture method) on the Two-Variable Linear Equation System material. This study uses a posttest-only control group design. The population of this study was all eighth-grade students and the sample in this study was class VIII-A as an experimental class consisting of 20 students and class VIII-B as a control class consisting of 10 students at SMP Negeri 3 Tondano in the even semester of the 2024/2025 academic year. The results revealed that there was a difference in the average learning outcomes of students taught using the Collaborative Problem-Solving learning model with students taught using the Direct learning model. Based on the above results, it can be concluded that using the Problem-Based Learning model can improve students' mathematics learning outcomes in the topic of Two-Variable Linear Equation Systems.
PEMAHAMAN KONSEP SISWA BERDASARKAN TAHAPAN APOS PADA MATERI SISTEM PERSAMAAN LINIER DUA VARIABEL DI SMP NEGERI 2 KALAWAT Denis Joshua Tamba; Anetha L. F. Tilaar; Vivian E. Regar
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.v13i2.22049

Abstract

Pemahaman konsep matematika merupakan komponen penting dalam pembelajaran Sistem Persamaan Linear Dua Variabel (SPLDV) karena berperan dalam kemampuan siswa memecahkan masalah kontekstual. Penelitian ini bertujuan untuk menganalisis pemahaman konsep siswa berdasarkan teori APOS (Action, Process, Object, Schema) yang menguraikan tahapan berpikir matematis siswa. Studi ini menggunakan pendekatan kualitatif dengan teknik pengumpulan data melalui tes diagnostik dan wawancara mendalam terhadap tiga siswa yang mewakili kategori kemampuan tinggi, sedang, dan rendah dari total 28 siswa yang mengikuti tes. Hasil menunjukkan bahwa siswa berkemampuan tinggi mampu menyelesaikan soal SPLDV secara hampir menyeluruh berdasarkan tahapan APOS, meskipun terdapat kekurangan dalam representasi tertulis. Siswa berkemampuan sedang menunjukkan pemahaman terbatas, khususnya dalam menentukan metode penyelesaian dan menarik kesimpulan. Sementara itu, siswa berkemampuan rendah hanya menunjukkan pemahaman semu, karena jawaban diperoleh dari sumber eksternal tanpa melalui proses konstruksi pengetahuan. Temuan ini menegaskan efektivitas teori APOS sebagai kerangka analisis untuk mengidentifikasi kesulitan belajar matematika secara komprehensif. Penelitian ini memberikan kontribusi pada pengembangan strategi pembelajaran berbasis tahapan kognitif siswa dan menyarankan eksplorasi lanjutan dengan integrasi pendekatan teknologi. Kata kunci: pemahaman konsep matematika; teori APOS; SPLDV; pembelajaran kontekstual; kemampuan berpikir matematis Abstract: Conceptual understanding in mathematics is a critical component in learning Systems of Linear Equations in Two Variables (SPLDV), as it plays a significant role in students’ ability to solve contextual problems. This study aims to analyze students' conceptual understanding based on the APOS theory (Action, Process, Object, Schema), which outlines the stages of mathematical thinking. A qualitative approach was employed, involving diagnostic tests and in-depth interviews with three students representing high, moderate, and low ability levels, selectsed from a total of 28 students who participated in the test. The results revealed that the high-ability student was able to complete the SPLDV problems across nearly all APOS stages, although with some limitations in written representation. The moderate-ability student demonstrated partial understanding, especially in selecting problem-solving methods and drawing conclusions. Meanwhile, the low-ability student showed only surface-level understanding, as responses were obtained from external sources without internal knowledge construction. These findings affirm the effectiveness of the APOS theory as an analytical framework to identify learning difficulties in mathematics comprehensively. This research contributes to the development of instructional strategies based on students’ cognitive stages and suggests further exploration of the integration of technological approaches. Keywords: mathematics conceptual understanding; APOS theory; systems of linear equations; contextual learning; mathematical thinking skills
Co-Authors A. Pesik Adiputra Gideon Mukkun Alfina Dwi Puspita Alfirawati Lumahu Ali, Ermita Anekke Pesik Ansuryani Umar Cosmas Poluakan Damopolii, Inayah Putri Deeng, Vernel Denis Joshua Tamba Derel Filandy Kaunang Dosniroha, Devitha Fabian Y. Paisa Febriyani R.D. Putri Gea, Sinoria Grachiella Aurelia Baweleng Gunawan, Shintia D. Hariyati Pantow Harun, Sindi Claudia Hasriyanti Hasriyanti Hengkeng, Melisa Ichdar Domu Inkiriwang, Ellen Merry James U.L. Mangobi Jhon R Wenas Jhon R. Wenas John R. Wenas Junaedy, Reiner Aditia Christian Kaunang, Derel F Krista Monika Ransun Kristin Arbis L. G. Simamora Lempas, Zefanya Livinia Tendean Madalise, Adrianus Magenda, Trivona Mamatu, Jeliyanti Mandey, Angela Fern Mangamis, Freiti Marvel G. Maukar Masloman, Amalya Arcely Dian Meisy Wijayanti Mokoagow Millenika Putri Purba Muhammad S. Makalalg Nedelan, Selviani S. D. Ngantung, Meisy Mariani Nicky Kurnia Tumalun Nona Frike Manumpil Novi S. Triyanti Nurul Halima Dwi Putri Oktavia Adela Lumandung Patricia V. J. Runtu Pelealu, Eyrene Philotheus E. A. Tuerah Pitoy, Cori Polly, Lady Amanda Poluakan, Meylan Jashinta Priska M. Humapi Putri, Febriyani R.D. Rawis, Rivaldo Markus Reski Awalia Ramadani Roldy, Charly Fanly Rondonuwu, Nadiya Yesikha Rosiah J. Pulukadang Samuel Wuisan Sandy Salomo Saruan Santje M. Salajang Selfie L. Kumesan Sylvia Jane Annatje Sumarauw Tadjamawo, Jesika Florensia Tendean, Livinia Tengker, Melita Thytania Walangare Timbongol, Alessandro M. Trezita A. S. Onibala victor Sulangi Vivian E. Regar Wenas, John Robby Wuisan, Samuel