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Journal : Jurnal Pendidikan Edutama

Graph Theory as A Tool for Growing Mathematical Creativity Puput Suriyah; Stevanus Budi Waluya; Rochmad Rochmad; Wardono Wardono
Jurnal Pendidikan Edutama Vol 7, No 1 (2020): January 2020
Publisher : IKIP PGRI Bojonegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (91.187 KB) | DOI: 10.30734/jpe.v7i1.744

Abstract

Abstrac: The purpose of this research to describe about graph theory is subject can serve as a tool for growing mathematical creativity. Systematic Literature Review (SLR) is used as a method of analyzing a wide range of articles and literature were obtained through searching of data sources. The results of the analysis of various sources elaborated reviews about the open ended questions of graph theory that are used as a disclosure in growing the mathematical creativity of students based on Bahar & Maker's theory modifications are open ended questions that have characteristics such as fluency and flexibility and have been done in detail/elaboration. Fluency on theory graph can be known when students do task/exercises such as isomorphic graph. Flexibility on theory graph can be known when students do task/exercises, example about spanning trees. In this paper also we showed how can use graph theory to teach standards of NCTM (National Council of Teachers on Mathematics of America) that related with mathematical creativity. Keyword: graph theory, mathematical creativity, fluency, flexibility  Abstrak: Tujuan penelitian ini untuk mendeskripsikan graf teori merupakan salah satu alat untuk menumbuhkan kreativitas matematika. Systematic Literature Review (SLR) digunakan sebagai metode dalam menganalisis sebagai berbagai artikel dan literatur yang diperoleh melalui pencarian sumber data. Hasil analisis dari berbagai sumber tersebut dijabarkan ke dalam ulasan tentang pertanyaaan terbuka dari teori graf yang digunakan untuk mengungkap tumbuhnya kreativitas matematika peserta didik berdasarkan teori modifikasi Bahar & Maker dimana pertanyaan terbuka yang memiliki karakteristk seperti fluency/kelancaran dan flexibility/keluwesan yang dikerjakan secara elaborasi. Dimensi fluency/kelancaran pada teori graf dapat diketahui ketika peserta didik mengerjakan soal misal tentang isomorfik. Dimensi flexibility/keluwesan pada teori graf dapat diketahui ketika peserta didik mengerjakan soal misal tentang spanning trees/pohon berentang. Dalam artikel ini ditunjukkan juga bagaimana graf teori menggunakan standar dari NCTM yang terkait dengan kreaitvitas matematika. Kata kunci: teori graf, kreativitas matematika, fluency, flexibility
Co-Authors A. T. Prayitno Abd Taram Abdul Ghofur Abdul Kadir Adi Nur Cahyono Afit Istiandaru, Afit Agus Hermanto Ahmad Badawi, Ahmad Ahmad Mukhlis Yusuf Ainur Rifqi, Ainur Alamsyah - Alvina Diah Ayu Amin Suyitno Andes Safarandes Asmara, Andes Safarandes Andi Saparuddin Nur Andi Saparuddin Nur Andi Saparuddin Nur Anggun Tri Prabawati Angreanisita, Wiwik Ani Rusilowati Ardhini, Rosa Ary Arie Purwa Kusuma Arief Agoestanto Arifah, Yekti Nur Arina Ulil Faroh Arlisah, Arlisah Arum Pratiwi Ary Woro Kurniasih Asih, Tri Sri Noor Azmi, Septiana Ulul Bambang Eko Susilo Bambang Eko Susilo Bramasta, Raden Ariel Andro Budi Waluya Budi Waluya, St. Budi Waluyo Cahyaningsih, Indah Chakim, Muhamad Nur Chusna, Cahya Amalia Damayanti, Angreswari Ayu Dedi Muhtadi Dian Kartika Putri Dian Rosita Dr. Masrukan, Dr. Dwijanto Dwijanto Dwijanto Dwijanto, Dwijanto Edy Cahyono Edy Soedjoko Emi Pujiastuti Endang Retno Winarti Erik Santoso Eva Novalia, Eva Farid Ahmadi Febrinasti, Rina Febriyana, Dyah Fedi, Sebastianus Gurnitowati, Fera Marlinda Hamidah Hamidah Hanif Hanif Hardi Suyitno Hardianti, Ririn Dwi Hendri Handoko Hidayatun Nafiah, Hidayatun Hinggil Darojati Hutneira, Ririn Ilyyana, Kharisma Isnaini Rosyida, Isnaini Isnarto Isnarto Isnarto, Isnarto Isnarto, Isnarto Isti Hidayah Istikomah, Fajar Istiqomah, Fiatun Iwan junaedi Iwan Junaedi Jaka Wijaya Kusuma Kartono , Khoiri, Wafik Khoirul Huda Konita, Mita kristi liani purwanti, kristi liani Kristina Wijayanti Kritina Wijayanti Kurnia, Yusthesia Esta Kurniawan, Arfiadi Kurnila, Valeria S. Lala Nailah Zamnah lestari, Farida Puput Madany, Averosian Sophia Mahmud Rifaannudin Mahmutarom, Mahmutarom Mariani, S Mariani, Scholastika Mashuri Mashuri Masrukan Masrukan Maula Amalia Maghfuroh Maulida Nur Maydilla Fadiarahma Vistara Meiliana, Dwi Kurniaasih Meyta Dwi Kurniasih Meyta Dwi Kurniasih Miftiani, Sausallina Widad Moh. Mukri Mohammad Asikin Muhammad Badrun Muhammad Kharis Muhammad Kharis Muhammad Zuhair Zahid, Muhammad Zuhair Mulyono - Mulyono Mulyono Mulyono Mulyono Munafiah, Siti Nashrullah, Fahmi Rizqi Neneng Aminah Nggufron, Nanang Nikmatul Maula Nikmatul Maula Ningtyas, Nurul Ainna Nino Adhi, Nuriana Rachmani Dewi Nisarohmah, Nur Ilmia Nugraeni, Rosita Ayu Nuke Apriyanti Nur Rokhman Nurhaqiqi Noviyana, Ika Nurhayat, Tasya Putri Nuriana Rachmani Dewi Nurina Kurniasari Rahmawati Nurkaromah Dwidayati, Nurkaromah Nurokhmi Wahyu Setiani Nuroniah, Miskatun Nurrohmah Nurrohmah, Nurrohmah Octalia, Rembulan Permata Pamungkas, Megita Dwi Prasetya, Yulian Rakhel Puput Suriyah Purwati, Lina Rahmat Mulyana Rahmatjati, Abdul Mu'iz Ratna Nurhayati, Ratna Rhomanus Anggara Tri Laksana Ririn Hutneriana Riza Arifudin Rizai, Muhammad Muhsin Rofiq, Eka Ahmad Rofiqoh, Zeni Rosa Ary Ardhini RR. Ella Evrita Hestiandari S B Waluya S B Waluya S. B. Waluya S. B. Waluya, S. B. Saiful Marom Sari Hernawati Satrio Ardiansyah, Adi Savitri, Soviana Nur Scolastika Mariani Sebastian Fedi Septiana Ulul Azmi Shofiyana Noor Wijayanti Soleh, Nor Sri Lestari St. Budi Waluya Sugianto Sugianto Sugiarto S Sugiman Sugiman Sukestiyarno Sukestiyarno Sukestiyarno Sukestiyarno Sukestiyarno, Y. L. Supriyadi Supriyadi Supriyono Supriyono Suroyya, Dian Nailis Susanto, Is Susiloputro, Agus Susilowati, Nanik Suwarto Suwarto Swasono, Andi Hepi Taram, Abd Taubah, Rofinda Ulinnuha, Rais Vera Dewi Susanti Vera Dewi Susanti Vita Istihapsari Vita Istihapsari Vita Istihapsari, Vita Wahid, Dinda Aisyah Wahyudi, Rachmat Satrio Walid Walid, Walid Wardono Wardono Widolaksono, Dyaisa Algustavia Wijaya, Linda Wijayanti, Kritina Wulandari, Ika Putri Wuryanto Wuryanto Y. L. Sukestiyarno YL Sukestiyarno Yulianto, Alfany Rahman Zaenuri Mastur Ziyaadaturrizka, Irta