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All Journal EDUKASI JURNAL BIOSAINSTEK JURNAL SAINS, SOSIAL DAN HUMANIORA
Hasanuddin Usman
Universitas Muhammadiyah Maluku Utara
Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Earth & Planetary Sciences Education Engineering Environmental Science Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Social Sciences

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Journal : JURNAL BIOSAINSTEK

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Peningkatan Kemampuan Pemahaman dan Representasi Matematis Siswa SMP Melalui Pembelajaran Kontekstual Berbasis Soft Skills Abdullah, In Hi; Usman, Hasanuddin
JURNAL BIOSAINSTEK Vol 5 No 1 (2023): Jurnal BIOSAINSTEK
Publisher : UNIVERSITAS MUHAMMADIYAH MALUKU UTARA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52046/biosainstek.v5i1.736

Abstract

Penelitian ini dilaksanakan bertujuan untuk mengetahui perbedaan peningkatan kemampuan pemahaman dan representasi matematis siswa, sebagai akibat dari penerapan pendekatan pembelajaran kontekstual berbasis soft skills dan pembelajaran konvensional. Subjek dalam penelitian ini adalah siswa kelas VIII SMP dari tiga SMP di Kota Ternate yang tergolong dalam kategori klaster sekolah tinggi, sedang, dan rendah. Pada masing-masing sekolah dipilih secara acak dua kelas, satu kelas sebagai kelas eksperimen yang mendapat pembelajaran kontekstual berbasis soft skills dan satu kelas lagi sebagai kelas kontrol yang mendapat pembelajaran konvensional. Instrumen yang digunakan meliputi tes kemampuan awal matematis, tes kemampuan pemahaman matematis, tes kemampuan representasi matematis, pedoman observasi dan wawancara. Hasil analisis data menunjukkan bahwa, peningkatan kemampuan pemahaman dan representasi matematis siswa yang memperoleh pendekatan pembelajaran kontekstual berbasis soft skills lebih tinggi daripada siswa yang memperoleh pembelajaran konvensional. Peningkatan kemampuan pemahaman dan representasi matematis siswa yang memperoleh pembelajaran kontekstual berbasis soft skills pada setiap klaster sekolah dan kemampuan awal matematis, lebih tinggi daripada siswa yang memperoleh pembelajaran konvensional.
Application of Newton Polynomial Interpolation Method in Determining the Continuity of Functions Represented by Tabulated Discrete Points Putra, Huraidi Darma; Laisouw, Ruslan; Sultan, Muzakir Hi.; Usman, Hasanuddin
JURNAL BIOSAINSTEK Vol 6 No 2 (2024): Jurnal BIOSAINSTEK
Publisher : UNIVERSITAS MUHAMMADIYAH MALUKU UTARA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52046/biosainstek.v6i2.2090

Abstract

Most people are only familiar with functions that have been formulated explicitly y=f(x)) or implicitly (f(x,y)=0) However, functions obtained by researchers and engineers based on experimental data or field observations often do not have a known formula, and are therefore only represented in the form of tabulated discrete points. To determine the continuity of a tabulated function obtained from observational data, a function formula from the data is required. Consequently, the condition for the continuity of a function, where 〖lim〗┬(x→c)⁡〖f(x)=f(c)〗cannot be met. The problem in this research is to utilize data on the number of poor people from 2015-2021 and predict the monthly number of poor people using the Newton polynomial interpolation method with Maple. It also aims to prove the continuity of functions represented by tabulated discrete points by showing whether 〖lim〗┬(x→c)⁡〖p(x)=p(c)〗 or 〖lim〗┬(x→c)⁡〖p(x)≠p(c)〗. Based on the research results, it was found that Newton polynomial interpolation can be used to estimate the monthly number of poor people based on annual data, provided the conditions are met: the data represents a function, and the data table interval is changed to (1 )/12. The estimated function (Newton polynomial) p(x) obtained, in the form: (0.0121666) x^5-(122.7059942) x^4+ ( 4.950193546*〖10〗^5 ) x^3-( 0.985008654*〖10〗^8 ) x^2+(1.0070 35027*〖10〗^12)x-(4.062567218*〖10〗^14 ) has been proven to demonstrate the continuity of a function represented by tabulated discrete points by showing that 〖lim〗┬(x→c)⁡〖p(x)=p(c)〗 for each point.
Co-Authors In Hi Abdullah In Hi Abdullah Muzakir Hi Sultan Putra, Huraidi Darma Ruslan Laisouw Wahid Umar Wahid Umar