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All Journal Jurnal Daya Matematis Beta: Jurnal Tadris Matematika Madaniya
Andika Saputra
STKIP YPUP Makassar
Religion Humanities Education Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Social Sciences

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Journal : Jurnal Daya Matematis

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Numerical Analysis of Double Integral of Trigonometric Function Using Romberg Method Andika Saputra; Rizal Bakri; Ramlan Mahmud
Daya Matematis: Jurnal Inovasi Pendidikan Matematika Vol 8, No 2 (2020): Juli
Publisher : Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26858/jdm.v8i2.14101

Abstract

In general, solving the two-fold integral of trigonometric functions is not easy to do analytically. Therefore, we need a numerical method to get the solution. Numerical methods can only provide solutions that approach true value. Thus, a numerical solution is also called a close solution. However, we can determine the difference between the two (errors) as small as possible. Numerical settlement is done by consecutive estimates (iteration method). The numerical method used in this study is the Romberg method. Romberg's integration method is based on Richardson's extrapolation expansion, so that there is a calculation of the integration of functions in two estimating ways I (h1) and I (h2) resulting in an error order on the result of the completion increasing by two, so it needs to be reviewed briefly about how the accuracy of the method. The results of this study indicate that the level of accuracy of the Romberg method to the analytical method (exact) will give the same value, after being used in several simulations.
Mobile Augmented Reality (AR) Learning Media on Distance Material in Three Dimensions Andika Saputra; Nurul Iman
Daya Matematis: Jurnal Inovasi Pendidikan Matematika Vol 8, No 3 (2020): Desember
Publisher : Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26858/jdm.v8i3.16490

Abstract

The purpose of this research is to develop a mobile learning media based on augmented reality (AR) that can be used and can improve student achievement in learning mathematics on distance material in three dimensions. The approach method used in this research is R&D (Research and Development). In media development, the steps taken are as follows; research, data collection, planning, product draft development, product validation, revision of product validation results, field trials, revision of field trial results, final product improvement, and dissemination. Meanwhile, in assessing the success of the media in improving student learning achievement, the Paired Sample T-test statistical method was used. The results obtained in this study are that a mobile learning media augmented reality (AR) has been successfully developed on distance material in three dimensions in the form of an android application, which can be used and proven to significantly improve student achievement in mathematics learning on distance material in three dimensions
Co-Authors Ari Reski Sashari Ibrahim H. Ahmad Nurul Iman Ovan Ovan Ramlan Mahmud Rina Asrini Bakri Rizal Bakri Saiful Saiful Tasni, Nurfaida