PERAN PEJABAT PEMBUAT KOMITMEN SEBAGAI PENGENDALI FUNGSI DALAM PEMBANGUNAN LANJUTAN LABORATORIUM B2P2TOOT TAWANGMANGU

Muhammad Ahyar Rasyidi; Sri Supiyati; Lalu Muhammad Fauzi

doi:10.26877/jipmat.v7i2.12402

PERAN PEJABAT PEMBUAT KOMITMEN SEBAGAI PENGENDALI FUNGSI DALAM PEMBANGUNAN LANJUTAN LABORATORIUM B2P2TOOT TAWANGMANGU

Muhammad Ahyar Rasyidi, Sri Supiyati, Lalu Muhammad Fauzi

Abstract

This study investigates the general form of the determinant of negative integer powers of a special class of centrosymmetric matrices of even order. For an even positive integer and a positive integer , let denote such a matrix, and consider the matrix obtained by raising to the power . To determine , we first conjecture the general form of the inverse matrix by observing the patterns in the explicit inverses , and . The conjectured form is then verified by showing that and . The resulting inverse is used to construct the matrices , and ; from these cases we infer the general structure of . The validity of this general form is established using mathematical induction. Once the matrix has been obtained, an explicit closed-form expression for is derived via the cofactor expansion method. Finally, a numerical example is presented to illustrate the application of the determinant formula.

Keywords

perubahan pedagogis, mobile learning, motivasi, prestasi

Full Text:

PDF

References

Ahmad, M., Siregar, Y. P., Siregar, N. A., & Effendi, H. (2018). Realistic Math-Based Learning Model Based on Mandailing Culture. International Journal of Sciences: Basic and Applied Research (IJSBAR) Volume, 39(1), 67â€“78. https://www.gssrr.org/index.php?journal=JournalOfBasicAndApplied&page=article&op=view&path%5B%5D=8501&path%5B%5D=4028%0A

Alavi, M., & Leidner, D. E. (2001). Research Commentary: Technology-Mediated Learning - A Call for Greater Depth and Breadth of Research. Information Systems Research, 12(1), 1â€“10. https://doi.org/10.1287/isre.12.1.1.9720

AndrÃ©s, C. M. (2012). Mathematics education in Europe: common challenges and national policies. Eurydice.

Arbaugh, J. B., & Duray, R. (2002). Technological and structural characteristics, student learning and satisfaction with web-based coursesâ€”An exploratory study of two on-line MBA programs. Management Learning, 33(3), 331â€“347.

Fessakis, G., Karta, P., & Kozas, K. (2018). Designing math trails for enhanced by mobile learning realistic mathematics education in primary education. International Journal of Engineering Pedagogy, 8(2), 49â€“63. https://doi.org/10.3991/ijep.v8i2.8131

Jihad, A., Susilawati, W., & Sobarningsih, N. (2018). Improving mathematical understanding ability student through study of mobile learning mathematics base on the Android. IOP Conference Series: Materials Science and Engineering, 434(1), 1â€“5. https://doi.org/10.1088/1757-899X/434/1/012008

Kasbuloh, K. E. S. (2010). Penelitian Tindakan Kelas. Malang, Depdikbud Dirjen Dikti.

Kukulska-Hulme, A., & J. Traxler. (2007). Designing for mobile and wireless learning. In H. Beetham & R.Sharpe (Eds.), Rethinking pedagogy for a digital age: Designing and delivering e-learning (pp. 180â€“192). London: Routledge.

Melinda Dela, P. B. (2007). Impat of ICTs on Open and Distance Learning in a Developing Country Setting: The Philippine experience. International Review of Research in Open and Distance Learning, 8(1), 1â€“15. http://ezproxy.aus.edu/login?url=http://search.proquest.com/docview/1634488704?accountid=16946

Nasir, A. M., & Nirfayanti, N. (2020). Effectiveness Of Mathematic Learning Media Based On Mobile Learning In Improving Student Learning Motivation. Daya Matematis: Jurnal Inovasi Pendidikan Matematika, 7(3), 228. https://doi.org/10.26858/jds.v7i3.11867

NCTM. (2000). Principles Standards and for School Mathematics. Reston, VA: Author.

Nurkencana, W., & Sunartana. (1992). Evaluasi Hasil Belajar. Surabaya: Usaha Nasional.

Rohmah, A., Salim, H., & Mashudi, E. anesty. (2016). Solusi Mengatasi Kejenuhan Belajar Siswa dengan Metode Mind Mapping. Kalimaya, 4(2). antologi.upi.edu/file/IPS_Ayunda_Rohmah_1200777.pdf

Selvianiresa, D., & Prabawanto, S. (2017). Contextual Teaching and Learning Approach of Mathematics in Primary Schools. Journal of Physics: Conference Series, 895(1). https://doi.org/10.1088/1742-6596/895/1/012171

Tong, D. H., Nguyen, T.-T., Uyen, B. P., Ngan, L. K., Khanh, L. T., & Tinh, P. T. (2022). Realistic Mathematics Educationâ€™s Effect on Studentsâ€™ Performance and Attitudes: A Case of Ellipse Topics Learning. European Journal of Educational Research, 11(1), 403â€“421.

Valk, J.-H., Rashid, A. T., & Elder, L. (2010). Using Mobile Phones to Improve Educational Outcomes: An Analysis of Evidence from Asia. International Review of Research in Open and Distance Learning, 11(1), 117â€“140.

DOI: https://doi.org/10.26877/jipmat.v7i2.12402