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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
Students’ difficulties in productive connective thinking to solve mathematical problems Nurfaida Tasni; Andika Saputra; Ovan Adohar
Beta: Jurnal Tadris Matematika Vol. 13 No. 1 (2020): Beta May
Publisher : Universitas Islam Negeri (UIN) Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20414/betajtm.v13i1.371

Abstract

[English]: The purpose of this study was to identify students’ difficulties in establishing mathematical connections in productive connective thinking to solve mathematical problems. Students’ difficulties were identified from which the students did not develop connection ideas after reflection at the stages of Toshio’s (2000) cognition scheme. The purposive sampling was used to select 2 out of 85 11th-grade students who had taken the initial test in order to measure their connective thinking. Students’ works and the transcript of think-aloud and interviews with two students were analyzed using a qualitative descriptive approach. It reveals that students indicate various difficulties in developing connections. At the cognition stage, students had difficulty establishing a connection idea for solutions, since they were not able to collect appropriate data and did not verify the initial data to understand the direction of solving the problem. At the inference stage, students were difficult to establish a procedure connection because they could not plan an effective strategy of problem-solving. At the formulation stage, students had difficulty establishing numerical connections since they did not verify the data and did not have sufficient understanding of the concepts to formulate the problem. At the reconstruction stage, students found it difficult to establish generalization connections because of being not motivated to solve the problems and not doing a comprehensive generalization and evaluation towards the problem-solving. Keywords: Connective thinking, Mathematical connections, Reflection, Toshio thinking scheme [Bahasa]: Penelitian ini bertujuan mengidentifikasi kesulitan siswa membangun koneksi matematis dalam berpikir konektif produktif untuk memecahkan masalah matematika. Kesulitan siswa membangun koneksi matematis diidentifikasi dari tidak berkembangnya ide-ide koneksi setelah refleksi pada setiap tahapan kognitif Toshio (2000). Tehnik purposive sampling digunakan untuk memilih 2 dari 85 orang siswa kelas 11 yang telah mengikuti tes awal untuk mengukur kemampuan berpikir konektif. Lembar kerja, rekaman think aloud dan wawancara dari dua orang siswa dianalisis dengan pendekatan deskriptif kualitatif. Hasil analisis menunjukkan siswa mengalami berbagai kesulitan membangun koneksi. Pada tahap kognisi, siswa mengalami kesulitan membangun koneksi ide solusi karena siswa tidak mampu mengumpulkan data yang sesuai dan tidak melakukan verifikasi terhadap data awal yang dikumpulkan untuk memahami dan memikirkan arah penyelesaian masalah. Pada tahap inferensi, siswa mengalami kesulitan membangun koneksi prosedur karena siswa tidak menyusun rencana penyelesaian yang efektif. Pada tahap formulasi, siswa mengalami kesulitan membangun koneksi numerik karena siswa tidak melakukan proses verifikasi data dan tidak memiliki pemahaman konsep yang memadai untuk melakukan proses formulasi. Pada tahap rekonstruksi, siswa mengalami kesulitan membangun koneksi generalisasi karena siswa tidak memiliki motivasi untuk memecahkan masalah dan tidak melakukan proses generalisasi dan evaluasi secara menyeluruh terhadap proses pemecahan masalah. Kata kunci: Berpikir konektif, Koneksi matematis, Refleksi, Skema berpikir Toshio
Integrasi Kearifan Lokal dalam Upaya Optimalisasi Ekowisata di Pantai Bira: Menuju Summit Tourism Invesment 2023 Rina Asrini Bakri; Ibrahim H. Ahmad; Andika Saputra; Saiful Saiful; Ari Reski Sashari
Madaniya Vol. 4 No. 4 (2023)
Publisher : Pusat Studi Bahasa dan Publikasi Ilmiah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.53696/27214834.598

Abstract

Pantai Bira adalah salah satu destinasi wisata di Sulawesi Selatan yang sangat populer dikunjungi oleh wisatawan mancanegara (wisman). Namun, kemampuan berbahasa Inggris guide lokal masih sangat rendah dan UMKM lokal kesulitan dalam mengembangkan usaha mikro mereka, seperti produk cenderamata dan kuliner olahan. Produk-produk ini hanya dipasarkan di Pantai Bira dan proses pengemasan makanan olahan belum memenuhi standar yang dibutuhkan, termasuk labelling merek dagang dan izin usaha. Hal ini berdampak negatif pada minat beli pengunjung. Metode pelatihan yang digunakan mencakup interpersonal interaction, pair practice conversation, dan role play. Pelathan UMKM difokuskan pada diversifikasi produk kuliner olahan, labelling merek dagang, izin usaha dan pemasaran. Hasil PKM, pemandu wisata di Pantai Bira telah mengalami peningkatan kemampuan berkomunikasi dalam bahasa Inggris. Selain manfaat bagi pemandu wisata, strategi pemasaran produk UMKM di Pantai Bira juga telah mencapai hasil yang positif. Dampaknya meliputi peningkatan penjualan, peningkatan pengenalan merek dagang, kepercayaan pelanggan yang meningkat, ekspansi pasar melalui kemitraan, peningkatan kualitas produk dan layanan, serta pengembangan produk ekowisata. Selain itu, penyediaan informasi yang lengkap dan fasilitas yang memadai telah meningkatkan pengalaman wisatawan yang pada akhirnya mendukung pertumbuhan UMKM dan ekonomi lokal.