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All Journal Journal of the Indonesian Mathematical Society Math Didactic: Jurnal Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan JURNAL EDUCATION AND DEVELOPMENT Jurnal Cendekia : Jurnal Pendidikan Matematika JP3M (Jurnal Penelitian Pendidikan dan Pengajaran Matematika) Jurnal Sains Riset SOSCIED Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Didaktika: Jurnal Kependidikan Jurnal Pendidikan Matematika Unpatti Jurnal Riset dan Inovasi Pembelajaran Tensor: Pure and Applied Mathematics Journal MARISEKOLA: Jurnal Matematika Riset Edukasi dan Kolaborasi Dharmas Education Journal (DE_Journal) Kognitif: Jurnal Riset HOTS Pendidikan Matematika ADIBA: Journal of Education
Nicky Kurnia Tumalun
Mathematics Department, Faculty Of Mathematics Natural Sciences And Earth, Universitas Negeri Manado, Indonesia
Agriculture, Biological Sciences & Forestry Arts Humanities Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Languange, Linguistic, Communication & Media Library & Information Science Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation Other

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PENERAPAN METODE PENEMUAN TERBIMBING DENGAN MODEL PEMBELAJARAN KONSTRUKTIVISME DALAM PEMBELAJARAN MATEMATIKA MATERI BILANGAN BULAT DI KELAS VII SMP NEGERI 3 TONDANO Bataria, Evelin Rina; Salajang, Santje M; Tumalun, Nicky K
SOSCIED Vol 8 No 1 (2025): SOSCIED - Juli 2025
Publisher : LPPM Politeknik Saint Paul Sorong

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32531/jsoscied.v8i1.909

Abstract

This study aimed to determine the differences in student learning outcomes between the application of the Guided Discovery Method with the Constructivism Learning Model and Conventional Learning in improving students' understanding of integers in Class VII at SMP Negeri 3 Tondano. This research was a quasi-experimental study with a two-group pretest-posttest design. The population of this study was seventh-grade students, and the samples in this study were VII A as the experimental class, consisting of 25 students, and VII B as the control class, consisting of 22 students, at SMP Negeri 3 Tondano in the 2024/2025 academic year. The research results revealed that there was a significant difference in the average learning outcomes of students taught using the Guided Discovery Method with the Constructivism Learning Model compared to students taught using Conventional Methods. Based on the above results, it is concluded that the application of the Guided Discovery Method with the Constructivism Learning Model can improve students' understanding of integers in Class VII at SMP Negeri 3 Tondano. Thus, the Guided Discovery Method with the Constructivism Learning Model was proven effective in improving students' learning outcomes.
FUNGSI ELEMEN KELAS STUMMEL MODULUS TERBATAS TETAPI BUKAN ELEMEN DARI KELAS STUMMEL Tumalun, Nicky Kurnia
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (369.717 KB) | DOI: 10.30598/barekengvol15iss1pp077-084

Abstract

In the paper [1], it was given a function which belongs to the bounded Stummel modulus classes but not in Stummel classes. The given proof of this function properties in that paper was not obvious and very concise. By using the countable linearity property of integral, polar coordinate of integration, other properties of Lebesgue measure and integration, and some observation on the geometric property of the open ball in Euclidean spaces, we prove in detail the properties of this function.
AN EXISTENCE AND UNIQUENESS OF THE WEAK SOLUTION OF THE DIRICHLET PROBLEM WITH THE DATA IN MORREY SPACES Tumalun, Nicky Kurnia
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 3 (2022): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (392.421 KB) | DOI: 10.30598/barekengvol16iss3pp829-834

Abstract

Let n-2<\lambda<n , f be a function in Morrey spaces L^{1,\lambda}(\Omega) , and the equation Lu=f u \in W^{1,2}(\Omega) be a Dirichlet problem, where \Omega is a bounded open subset of R^{n} , n \ge 3 , L and is a divergent elliptic operator. In this paper, we prove the existence and uniqueness of this Dirichlet problem by directly using the Lax-Milgram Lemma and the weighted estimation in Morrey spaces
AN EXISTENCE AND UNIQUENESS OF THE SOLUTION OF SEMILINEAR MONOTONE ELLIPTIC EQUATION WITH THE DATA IN STUMMEL CLASSES Tumalun, Nicky Kurnia
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss2pp1123-1130

Abstract

Let be a bounded open subset of , , be a function in Stummel classes , where , and be a semilinear monotone elliptic equation, where is symmetric matrix, elliptic, bounded, and is non decreasing and Lipschitz. By proving a weighted estimation for a function in Stummel class with its weight in , which allows us to use Stampacchia’s lemma, we obtained the existence and uniqueness of the solution of this equation.
PENGEMBANGAN PERANGKAT PEMBELAJARAN PROBLEM BASED LEARNING PENDEKATAN OPEN ENDED MATERI SEGIEMPAT DAN SEGITIGA Timbuleng, Hanietje Detly; Salajang, Santje; Tumalun, Nicky
Jurnal Pendidikan Matematika Unpatti Vol 2 No 3 (2021): Jurnal Pendidikan Matematika Unpatti
Publisher : Program Studi Pendidikan Matematika Fakultas Keguruan dan Ilmu Pendidikan Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/jpmunpatti.v2.i3.p81-88

Abstract

Penelitian ini bertujuan untuk menghasilkan perangkat pembelajaran menggunakan model Problem Based Learning dengan Pendekatan Open Ended pada materi Segiempat dan segitiga yang valid, praktis dan efektif. Penelitian ini dilatar belakangi oleh pentingnya perangkat pembelajaran disusun sesuai dengan tujuan yang akan dicapai. Metode dalam penelitian ini tergolong penelitian pengembangan dengan subjeknya diambil dari siswa kelas VIIB SMP Advent 1 Tikala sebanyak 31 siswa. Hasil kepraktisan perangkat pembelajaran diperoleh dari hasil kemampuan guru dalam mengelola pembelajaran yang di kategorikan baik dalam interval 3 ≤ P < 4, angket respon siswa sebesar 73% respon positif. Keefektifan perangkat pembelajaran diperoleh dari Tes Hasil Belajar siswa yang nilai ketuntasan belajar siswa di atas 70. Berdasarkan analisis data dan pembahasan dapat disimpulkan bahwa RPP, LKPD dan THB yang dikembangkan menggunakan model Problem Based Learning dengan pendekatan Open Ended pada materi Segiempat dan Segitiga siswa kelas VIIB telah memenuhi kriteria valid, praktis dan efektif. Hasil penelitian ini dpat disimpulkan: (1) Pengembangan perangkat pembelajaran matematika model pembelajaran problem based learning dengan pendekatan open ended pada materi Segiempat dan segitiga dikembangkan dengan menggunakan model pengembangan 4-D yang dimodifikasi yaitu: pendefinisian, perancangan, dan pengembangan yang menghasilkan perangkat pembelajaran yang valid untuk materi Segempat dan segitiga yang mengacu pada model problem based learning dengan pendekatan open ended. Perangkat pembelajaran yang dihasilkan meliputi: rencana pelaksanaan pembelajaran, Lembar Kerja Pesrta Didik, dan Tes Hasil Belajar, (2) Perangkat pembelajaran praktis untuk mengajarakan materi Segiempat dan segitiga menggunakan model problem based learning dengan pendekatan open ended, (3) Pembelajaran matematika menggunakan model problem based learning dengan pendekatan open ended pada materi Segempat dan segitiga di kelas VIIB SMP dapat dikatakan efektif, (4) Ketuntasan belajar secara klasikal pada THB sebesar 83,87% siswa tuntas secara individual.
Co-Authors Achmad, Fariz Anekke Pesik Anetha L.F. Tilaar Angelia Augifty Evan Karouw Aurel Vania Karinda Bataria, Evelin Rina Britney Milan Palandeng Derel Filandy Kaunang Ermita Ermita Hendra Gunawan Ichdar Domu Indri D. Ponamon Irma Alvesya Citra Gigir Jhon R Wenas Jorry F Monoarfa Josua Titanio Manarisip Karmelia Kristi Malonda Krista Monika Ransun Langi, Rafael Kaleb Makalunsenge, Khofifah Indar Parawansa Mandey, Angela Fern Manopo, Yolanda Mohede, Felikia Tikalani Nirma Potabuga Palandeng, Britney Milan Patandungan, Elisa Berlin Patricia V. J. Runtu Pitoy, Cori Rantung, Natalia Cristina Regina N Pakpahan Roldy, Charly Fanly Rosiah J. Pulukadang Santje M Salajang Santje Salajang Sasiang, Iramaya Songkilawang, Gracela Agnes Syanet Kontur Sylvia Jane Annatje Sumarauw Tangel, Putra Fraditya Samuel Therezia Imelda Oroh Timbuleng, Hanietje Detly Togatorop, Elisabet Verencia Oroh Via Ditia Harinda Vialin Febriani Awuy victor Sulangi Vivian E. Regar Yomiko Riski Watung