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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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Morrey Spaces are Embedded Between Weak Morrey Spaces and Stummel Classes Tumalun, Nicky; Gunawan, Hendra
Journal of the Indonesian Mathematical Society Volume 25 Number 3 (November 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.3.817.203-209

Abstract

In this paper, we show that the Morrey spaces $ L^{1,\left( \frac{\lambda}{p} -\frac{n}{p} + n \right) } \left( \mathbb{R}^{n} \right) $ are embedded betweenweak Morrey spaces $ wL^{p,\lambda}\left( \mathbb{R}^{n} \right) $ and Stummelclasses $ S_{\alpha}\left( \mathbb{R}^{n} \right) $ under some conditions on$ p, \lambda $ and $ \alpha $. More precisely, we prove that $ wL^{p,\lambda}\left(\mathbb{R}^{n} \right) \subseteq L^{1,\left( \frac{\lambda}{p} - \frac{n}{p} + n\right) } \left( \mathbb{R}^{n} \right) \subseteq S_{\alpha}\left( \mathbb{R}^{n}\right) $ where $ 1p\infty, 0\lambdan $ and $ \frac{n-\lambda}{p}\alphan $.We also show that these inclusion relations under the above conditions are proper.Lastly, we present an inequality of Adams' type \cite{A}
Morrey Spaces are Embedded Between Weak Morrey Spaces and Stummel Classes Nicky Tumalun; Hendra Gunawan
Journal of the Indonesian Mathematical Society Volume 25 Number 3 (November 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.3.817.203-209

Abstract

In this paper, we show that the Morrey spaces $ L^{1,\left( \frac{\lambda}{p} -\frac{n}{p} + n \right) } \left( \mathbb{R}^{n} \right) $ are embedded betweenweak Morrey spaces $ wL^{p,\lambda}\left( \mathbb{R}^{n} \right) $ and Stummelclasses $ S_{\alpha}\left( \mathbb{R}^{n} \right) $ under some conditions on$ p, \lambda $ and $ \alpha $. More precisely, we prove that $ wL^{p,\lambda}\left(\mathbb{R}^{n} \right) \subseteq L^{1,\left( \frac{\lambda}{p} - \frac{n}{p} + n\right) } \left( \mathbb{R}^{n} \right) \subseteq S_{\alpha}\left( \mathbb{R}^{n}\right) $ where $ 1<p<\infty, 0<\lambda<n $ and $ \frac{n-\lambda}{p}<\alpha<n $.We also show that these inclusion relations under the above conditions are proper.Lastly, we present an inequality of Adams' type \cite{A}
Proper Inclusion Between Vanishing Morrey Spaces and Morrey Spaces Nicky Kurnia Tumalun
Tensor: Pure and Applied Mathematics Journal Vol 2 No 1 (2021): Tensor : Pure And Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol2iss1pp1-4

Abstract

In this paper, we give an explicit function which belongs to the Morrey spaces but not in the vanishing Morrey spaces. Therefore, we obtain that the Morrey spaces contain the vanishing Morrey spaces properly.
ANALISIS KESALAHAN PESERTA DIDIK DALAM MENYELESAIKAN SOAL MATEMATIKA MATERI OPERASI MATRIKS Verencia Oroh; Ontang Manurung; Nicky K. Tumalun
ADIBA : JOURNAL OF EDUCATION Vol. 2 No. 2 (2022): APRIL
Publisher : CV. ADIBA AISHA AMIRA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (511.348 KB)

Abstract

This study aims to find out what mistakes students make when solving addition, subtraction, and matrix multiplication problems. The method in this study is a qualitative descriptive research method. Collection data are using evaluations and interviews. This study was followed by 25 people from class XI SMA Negeri 1 Langowan. This study concluded that: (1) Many students experienced errors, there were some students who answered correctly, some did not answer and there were also wrong facts, concepts, principles, and operations, (2) Based on the results of evaluations and interviews, there are mistakes made by class XI students at SMA Negeri 1 Langowan in solving matrix operation problems: Fact errors, namely: errors related to the material in the questions; Conceptual errors are errors in understanding abstract ideas; Errors in principle, namely: errors in applying the principles that exist in the problem; Operational errors, namely errors in mathematical calculations, (3) conceptual errors occurred in 12 students. As was done with the absent student number 24, this student operated the addition of a row by column matrix, (4) factual errors occurred in 2 students, conceptual errors occurred in 23 students, and operation errors occurred in 4 students. One of the errors in question number 2 was taken, as did the absent student number 8 making a factual error, (5) factual error occurred in 2 students, and operating error occurred in 5 students. One of the errors in question number 3 was taken, as did student absentee number 20 making an operation error, (6) factual error occurred in 4 students, a conceptual error occurred in 1 student, principle error in 6 students, and operator error. on 2 students. One of the errors in question number 4 was taken, as did the absent student number 15 making a principle error, (7) the proportion of errors from each question based on a predetermined error category, namely, factual error, concept error, principle error, operating error, ( 8) The average percentage of errors of all students in solving matrix operation problems are: (a) 5.85% factual error, (b) 43.67% conceptual error, (c) 10% principle error, (d) Operational error 12.69%.
PENERAPAN MODEL SOLE DAN MODEL EKSPOSITORI PADA PEMBELAJARAN MATEMATIKA MATERI TURUNAN Yomiko Riski Watung; Ichdar Domu; Nicky K. Tumalun
Jurnal Sains Riset Vol 12, No 3 (2022): November 2022
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat (LPPM) Universitas Jabal Ghafur

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47647/jsr.v12i3.814

Abstract

Penelitian ini bertujuan untuk meneliti perbedaan rata-rata hasil belajar peserta didik dengan model pembelajaran SOLE dan model pembelajaran ekspositori pada materi turunan di SMA Negeri 1 Kawangkoan. Metode penelitian yang digunakan adalah eksperimen semu dengan design Posttest Only Control Group Design. Sampel penelitian ini adalah peserta didik kelas XI MIPA 2 sebagai kelas eksperimen dan peserta didik kelas XI MIPA 3 sebagai kelas kontrol. Teknik pengumpulan data dilakukan dengan menggunakan tes hasil belajar yang diberikan pada akhir pembelajaran (Posttest). Teknik analisis data dalam penelitian ini menggunakan uji t, pada data yang sudah diuji normalitas dan uji homogenitasnya. Perhitungan dengan menggunakan uji t diperoleh  maka  di tolak dan terima . Dengan demikian dapat disimpulkan bahwa adanya perbedaan rata-rata hasil belajar peserta didik pada pembelajaran model SOLE dengan pembelajaran model ekspositori pada materi turunan. Selanjutnya, diperoleh model SOLE yang digunakan pada kelas eksperimen lebih baik daripada model ekspositori yang digunakan pada kelas kontrol materi turunan.
PENERAPAN MODEL PEMBELAJARAN KOOPERATIF TIPE PAIR CHECK PADA POKOK PEMBAHASAN SEGITIGA DI KELAS VII SMP NEGERI 1 TOMBATU Therezia Imelda Oroh; Anekke Pesik; Nicky K. Tumalun
Jurnal Sains Riset Vol 12, No 3 (2022): November 2022
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat (LPPM) Universitas Jabal Ghafur

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47647/jsr.v12i3.826

Abstract

The purpose of this study was to examine the effect of the implementation of the Pair Check model on student learning outcomes in the Triangle material. This research is a research that uses Posttest-Only Control Group Design. The subjects in this study were class VII B as an experimental class consisting of 20 students and class VII C as a control class consisting of 20 students at SMP Negeri Tombatu in the academic year 2021/2022 who were randomly selected. The data obtained are posttest results in the experimental class and control class, with the average learning outcomes in the experimental class =77.35 and the average learning outcomes in the control class =48.2. Testing the data after using the significance level = 0.05 obtained  = 7.48029  = 1.68595 and concluded is rejected. The conclusion of this study is the average learning outcomes of students who learn to use the Pair Check model on the triangle meter is higher than the learning outcomes of students who learn to use the Direct Instruction learning model.Keywords: Pair Check, learning outcomes, triangle
PENGARUH MODEL PEMBELAJARAN PROBLEM BASED LEARNING BERBANTUAN SOFTWARE GEOGEBRA PADA MATERI BANGUNRUANG SISI DATAR DI KELAS VIII SMP NEGERI 6 TONDANO Nirma Potabuga; Nicky K. Tumalun; Jorry F. Monoarfa
Jurnal Sains Riset Vol 12, No 3 (2022): November 2022
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat (LPPM) Universitas Jabal Ghafur

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47647/jsr.v12i3.827

Abstract

Berdasarkan observasi dan wawancara yang telah peneliti lakukan dikelas VIII SMP Negeri 6 Tondano, ditemukan beberapa kelemahan diantaranya adalah hasil belajar bangun ruang sisi datar yang dicapai siswa masih rendah. Fakta ini terlihat dari nilai ulangan harian pada bulan Januari 2021 yang menunjukan presentase kelulusan hanya 60%, sedangkan 40% masih di bawah KKM 76 yang ditentukan sekolah. Tujuan penelitian ini adalah untuk mengetahui pengaruh penggunaan model pembelajaran problem based learning berbantuan software geogebra pada materi bangun ruang sisi datar di kelas VIII SMP Negeri 6 Tondano. Penelitian ini dilaksanakan di SMP Negeri 6 Tondano  pada semester genap tahun ajaran 2020-2021. Penelitian ini menggunakan metode eksperimen. Populasi dalam penelitian ini adalah seluruh siswa kelas VIII yang terdiri 4 kelas. Sampel Penelitian dilakukan pada 2 kelas yaitu Kelas VIII A dan VIII B dengan jumlah masing-masing 19 siswa, kelas VIII B sebagai kelas eksperimen dan kelas VIII A sebagai kelas kontrol.  Data hasil belajar siswa dari kedua model pembelajaran diperoleh dari pretest dan posstest. Hasil penelitian menunjukkan bahwa pada uji perbedaan dua rerata(uji-t) pada taraf nyata 0,05 diperoleh  thitung= thitung= 3,55 dan ttabel = 2,10 dengan H0 ditolakdan H1 diterima, sehingga menunjukkan bahwa rata-rata hasil belajar siswa yang diajar menggunakan model pembelajaran problem based learning berbantuan software geogebra pada materi bangun ruang sisi datar lebih tinggi dibandingkan rata-rata hasil belajar siswa yang diajar menggunakan model konvensional. Kesimpulan dalam penelitian ini terdapat pengaruh penggunaan model pembelajaran problem based learning berbantuan software geogebra pada materi bangun ruang sisi datar di kelas VIII SMP Negeri 6 Tondano.Kata Kunci: Hasil Belajar Bangun Ruang Sisi Datar, Model Pembelajaran Problem Based Learning , Software Geogebra.
ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL CERITA BENTUK ALJABAR MENGGUNAKAN PROSEDUR NEWMAN Angelia Augifty Evan Karouw; Nicky K. Tumalun; Jorry F. Monoarfa
Jurnal Sains Riset Vol 13, No 1 (2023): April 2023
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat (LPPM) Universitas Jabal Ghafur

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47647/jsr.v13i1.874

Abstract

The mistakes made by students are not known for sure what the form of the error is. Therefore, these errors need to be identified through the results of students' answers in solving algebraic story questions and reviewing whether students understand the meaning of the questions, whether students can develop plans for solving them, whether students can carry out the completion plans and whether students re-examine the final answers to determine conclusions.  In this study, errors were obtained based on Newman's completion steps, the most frequent mistakes made by students were process skills errors with a percentage of 38.77%, followed by writing errors with a percentage of 36.73%, then transformation errors with a percentage of 22.44%, then understanding error with a percentage of 12.24% and the last reading error with a percentage of 2.04%.Keywords : Newman, Error Analysis, Algebraic Forms of Story Problems 
PEMBELAJARAN DARING PADA PELAJARAN MATEMATIKA SISWA KELAS XI IPA SMA NEGERI 1 TOMOHON Krista Monika Ransun; Anetha L.F. Tilaar; Nicky Kurnia Tumalun
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 4 No. 1 (2023): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v4i1.240

Abstract

Online learning has several challenges such as the internet connection as well as convoluted explanations of math problems which oftentimes affect the capability of teacher to deliver the material optimally. For teachers, weaknesses and potential threats that have been mentioned then become a problem in finding solutions to maintain strengths and opportunities. Thus, the utilization of SWOT analysis was intended to identify all aspects of the application of courageous learning carried out by SMA Negeri 1 Tomohon. The research was conducted to achieve specific objectives, to describe SWOT aspects in the implementation of online learning on math subject in the 11th science class of SMA Negeri 1 Tomohon. The qualitative descriptive method was adapted in this study. The results showed that the implementation of online learning in a SWOT perspective had a correlation with time, costs and economic conditions, unconducive situations, learning resources, and learning motivation as well
ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL CERITA MATEMATIKA DENGAN MODEL SKEMATIK FONG Aurel Vania Karinda; Nicky Kurnia Tumalun; Derel Filandi Kaunang
Jurnal Education and Development Vol 11 No 2 (2023): Vol.11 No.2.2023
Publisher : Institut Pendidikan Tapanuli Selatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37081/ed.v11i2.4670

Abstract

The purpose of this study was to find out the mistakes made by students in solving math word problems on equations and quadratic functions and their causal factors based on the Fong Schematic Model. The research was conducted at St. Catholic Middle School. Rosa de Lima Tondano for the 2021/2022 academic year. The research method used is descriptive qualitative research method. Data collection was carried out using tests and interviews. The research subjects were class IX students of St. Catholic Middle School. Rosa de Lima Tondano. The results of the research are based on the first level of the Fong Schematic Model, namely the E1 scheme has no completion, E2 uses irrelevant procedures, E3 the schematic is incomplete without errors, E4 the schematic is incomplete with errors, E5 the schema is complete with errors. The results of the research are based on the second level of the Fong Schematic Model, namely mathematical operations, mathematical themes and psychological factors. Factors causing the mistakes made by students are: 1) lack of understanding of how to solve problems, 2) lack of thoroughness in solving questions, 3) lack of understanding of how to factor quadratic equations, 4) rush in solving questions, 5) forgetting how to solve problems, 6) lack of skills in applying material to problems and 7) decreased student ability during the co-19 pandemic.
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