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Yulis Tyaningsih, Ratna
Prodi Pendidikan Matematika, FKIP, Universitas Mataram
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STUDI KORELASIONAL TENTANG HUBUNGAN ANTARA KEMAMPUAN REPRESENTASI MATEMATIS DAN HASIL BELAJAR SISWA PADA MATERI STATISTIKA Tyaningsih, Ratna Yulis; Salsabila, Nilza Humaira; Supiarmo, M. Gunawan
Pendas : Jurnal Ilmiah Pendidikan Dasar Vol. 11 No. 01 (2026): Volume 11 No. 01 Maret 2026 Press
Publisher : Program Studi Pendidikan Guru Sekolah Dasar FKIP Universitas Pasundan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/jp.v10i02.28537

Abstract

This study explored the correlation between students' mathematical representation abilities and their learning outcomes in Statistics. Mathematical representation ability is defined as a student's skill in transforming mathematical concepts or ideas into various formats, such as visual (pictures, graphs), symbolic, or verbal descriptions. This representation skill is crucial, considering that Statistics emphasizes understanding and presenting data both visually and numerically. Using a quantitative correlational approach, the researchers involved 27 eighth-grade students from SMPN 21 Mataram, selected through a simple random sampling technique. Data was gathered from a mathematical representation ability test and student learning outcomes. The study's findings indicate a strong, positive relationship between mathematical representation ability and student learning outcomes, with a correlation coefficient of r=0.727. This means an increase in mathematical representation ability correlates with improved student learning outcomes. This finding underscores the vital role of mathematical representation in the mathematics learning process, particularly for topics requiring data interpretation and presentation. Therefore, teachers are advised to systematically integrate representation exercises into mathematics instruction.
Bukti yang Membuktikan dan Bukti yang Menjelaskan dalam Kelas Matematika Hamdani, Deni; Junaidi, J.; Novitasari, Dwi; Salsabila, Nilza Humaira; Tyaningsih, Ratna Yulis
Jurnal Penelitian dan Pengkajian Ilmu Pendidikan: e-Saintika Vol. 4 No. 2 (2020): July
Publisher : Lembaga Penelitian dan Pemberdayaan Masyarakat (LITPAM)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36312/e-saintika.v4i2.253

Abstract

Tujuan penelitian ini adalah mendeskripsikan secara komprehensif perbedaan bukti yang membuktikan dan bukti yang menjelaskan berdasarkan pertimbangan implikasi kedua bukti tersebut sebagai dasar konstruksi penalaran dan bukti dalam matematika. Kajian dijalani dengan kegiatan menguraikan perbedaan spesifik antara keduanya serta memberikan contoh kasus kedua bukti, dan memberikan justifikasi atas pentingnya pengenalan kedua bukti dalam kelas matematika. Kedua bukti digambarkan dengan permasalahan konsep barisan bilangan ganjil. Bukti yang membuktikan hanya menunjukkan dengan menggunakan induksi matematis, sementara bukti yang menjelaskan menunjukkan dengan bukti Gauss, representasi geometrik bangun titik, dan garis zig-zag. Perbedaan antara keduanya tampak pada pemberian alasan yang berasal dari bukti itu sendiri. Hasil kajian mengindikasikan bahwa peran bukti dalam kelas matematika pada tingkat perguruan tinggi adalah membuktikan/meyakinkan, pada tingkat menengah atas adalah membuktikan dan menjelaskan, dan pada tingkat sekolah menengah pertama dan dasar peran utamanya adalah menjelaskan. Akibatnya bukti matematis tidak hanya membuktikan/menyakinkan, melainkan juga menjelaskan. Karenanya penting mempertimbangkan implikasi bukti dalam kurikulum matematika di sekolah, serta perlunya menyajikan bab materi kepada mahasiswa pendidikan matematika tidak hanya bukti yang membuktikan, melainkan juga bukti yang menjelaskan.Proofs that Prove and Proofs that Explain in Mathematics ClassroomAbstractThe purpose of this study was to comprehensively describe the differences of the proofs that prove and proofs that explain based on the consideration of the implications of the two proofs as the basis for the construction reasoning and proofs in mathematics. The study was undertaken with the activity of describing the specific differences between the two and providing examples of cases of both proofs; and provide justification for the importance of introducing both proofs in mathematics classrooms. Both proofs are illustrated by the problem of the odd number sequence concept. Proofs that prove is only shown using mathematical induction, while proofs that explain shows with Gaussian proof, a geometric representation of point shape, and zigzag line. The difference between the two appears to be the reasoning that comes from the proof itself. The results of the study indicate that the role of proof in mathematics classes at the tertiary level is proving/convincing, at the senior secondary level it is proving and explaining, and at the junior and elementary school level its main role is explaining. As a result, mathematical proof does not only prove/convince, but also explain. It is therefore important to consider the implications of proof in the mathematics curriculum in schools, as well as the need to present chapter materials to mathematics education students not only proofs that prove but also proof that explain.
Co-Authors Agustina, Arianti Akhmad Asyari Amrullah Andi Puji Widyastuti Apriani Apriani Aprilia Dwi Handayani Apriliani, Febi Ardani, Riska Ayu Arjudin Arjudin Arjudin Arjudin Arjudin Azzahra, Sakinah Baehaqi Baidowi Baidowi Baidowi Baidowi Deni Hamdani Dina, Yana Roza Dita Oktavihari Dwi Novitasari Dwi Novitasari Eka Kurniawan Eka Kurniawan Eka Putri Cahya Ramdhani Fadila, Laila Fazira, Nadia Kinanti Fitriani Fitriani Fuji Rastuti, Hesti Gilang Primajati Guilin, Xie Hamdani, Deni Hamdani, Deni Harry Soeprianto Harry Soeprianto Hastuti, Lia puji Islami, RismalaDian J. Junaidi Jatmiko Jatmiko Junaidi Junaidi Junaidi Junaidi Junaidi, J. Ketut Sarjana Ketut Sarjana KETUT SARJANA, KETUT Kurniati , Nani Laila Hayati Laila Hayati, Laila Lina Nuriyanti Luluk Wazila M. Yogi Riyantama Isjoni Mohammad Archi Maulyda Muhammad Turmuzi Nani Kurniati Nani Kurniati Ni Made Intan Kertiyani Nourma Pramestie Wulandari Nurul Hikmah NURUL HIKMAH Nurul Hikmah Nyoman Sridana Oktavihari, Dita Pradita, Ade Lina Eka Puput Salsabilah Puput Salsabilah Qorni, Wais Al Salsabila, Nilza Humaira Samijo, Samijo Sari, Noviana Puspita Shujianto, Dwi Lian Soepriyanto, Harry Solatiah Ariani Sri Subarinah Sri Subarinah, Sri Sripatmi Sripatmi Sripatmi Sripatmi Sripatmi Sripatmi, Sripatmi Sudi Prayitno Sudi Prayitno Supiarmo, M. Gunawan Susilawati - Syahrul Azmi Syahrul Azmi Syufa Auliya, Annisa Tabita Wahyu Triutami Triutami, Tabita Wahyu Tsania Ardina Sholiha Ulfa Lu’luilmaknun Ulfa Lu’luilmaknun Ulfa Lu’luilmaknun Utama, Raden Septiaji Putra Uun Hariyanti, Uun Wahidaturrahmi, Wahidaturrahmi Wais Al Qorni Wulandari, Nourma Pramestie Xie Guilin