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Journal : Jurnal Pengajaran MIPA

BETWEEN FORMAL AND INFORMAL THINKING: THE USE OF ALGEBRA FOR SOLVING GEOMETRY PROBLEMS FROM THE PERSPECTIVE OF VAN HIELE THEORY Al Jupri; Ernawulan Syaodih
Jurnal Pengajaran MIPA Vol 21, No 2 (2016): JPMIPA: Volume 21, Issue 2, 2016
Publisher : Faculty of Mathematics and Science Education, Universitas Pendidikan Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18269/jpmipa.v21i2.44254

Abstract

This study investigated primary education master program students’ problem solving strategies and their for-mal and informal thinking ability when dealing with geometry problems that require the use of algebra in its solution processes. In order to do so, an explorative study through individual written test, observation, and field notes, involving 47 primary education master program students was carried out. The perspective of Van Hiele theory on the development of geometric thought was used to interpret student formal and informal thinking strategy when dealing with geometry problems. The results showed that more than half of the stu-dents used informal rather than formal algebraic strategies in solving geometry problems; when students used algebraic strategies, their work were imperfect as they still made mistakes in applying the strategies. In the light of Van Hiele theory, it can be concluded that students’ level of thinking are still in between formal and informal thinking when dealing with geometry problems.ABSTRAKPenelitian ini menyelidiki strategi pemecahan masalah mahasiswa program magister pendidikan dasar serta ke-mampuan berpikir formal dan informal mereka ketika menyelesaikan soal geometri yang memerlukan peng-gunaan aljabar dalam proses penyelesaiannya. Untuk mencapai tujuan ini, studi eksploratif melalui tes indi-vidu tertulis, observasi dan catatan lapangan dilakukan dengan melibatkan 47 mahasiswa program magister pendidikan dasar. Teori Van Hiele digunakan untuk menginterpretasi kemampuan berpikir formal dan infor-mal mahasiswa dalam menyelesaikan soal-soal geometri. Hasil penelitian menunjukkan bahwa lebih dari sepa-ruh mahasiswa menggunakan strategi-strategi informal ketimbang strategi-strategi aljabar formal dalam proses penyelesaian soal-soal geometri; ketika mahasiswa menggunakan strategi-strategi aljabar, proses penyelesaian yang mereka lakukan tidak sempurna dan masih melakukan kekeliruan-kekeliruan dalam menerapkan strategi tersebut. Berdasarkan tinjauan teori Van Hiele, dapat disimpulkan bahwa kemampuan berpikir mahasiswa ma-sih berada pada kemampuan antara formal dan informal ketika menyelesaikan soal-soal geometri.How to cite: Jupri, A., Syaodih, E. (2016). Between Formal and Informal Thinking: The Use of Algebra for Solving Geometry Problems from the Perspective of Van Hiele Theory, Jurnal Pengajaran MIPA, 21(2), 108-113.
Co-Authors - Sapriya A. Suhandi Aan Listiana Abdul Hakam Abdul Jabbar Abdullah, Khairul Hafezad Achmad Samsudin Ade Setiawan Agus Muharam Agustin, Mitha Kirana Ahmad Wahid Fudhaily Ai Tita Puspitasari Ali, Ghaisania Amanda Andi Suhandi Ani Siti Anisah Ani Siti Anisah Ani Siti Anisah, Ani Ani Siti Anisah, Ani Siti Anisah, Ani Siti Ari Widodo Ari Widodo Ari Widodo Ari Yanto Arie Dharmawan Arie Dharmawan Ariesta, Freddy Widya Armelia Prakasa Aryanto, Sani Asih, Bimbi Lastri Prima Atep Sujana Awiria, Awiria Ayu Amalia AYU LESTARI Aziza, Ismi Babang Robandi Bin Mamat, Nordin Budi Iskandar Bunyamin Maftuh Bunyamin Maftuh Cahya Karisma Pertiwi Cahya Karisma Pertiwi casini, Casini Chandra Chandra Chandra Chandra Citra, Aliva Cucun Sutinah Dadan Rusdiana Saputra Dadan Rusdiana Saputra Dadan Setiawan Dadan Setiawan Dariyanto, Dariyanto Dasim Budimansyah Dasim Budimansyah Dasim Budimansyah, Prayoga Bestari, Redi Yamanto, Dasim Budimansyah, Davi Sofyan Desyanti Kemalasari Nurisman Dianasari Dianasari Dianasari Dinawati, Yuli Dinawati Erna Yuliana Evi Juliyani Esa Putri F Febriyanti Fadillah, Nida Nur Farhana, Husna Gumala, Yosi Gustiana, Asep Deni Handayani, Hany Hanfyah, Lisna Hany Handayani Hany Handayani Hany Handayani Hayati Dahlan, Tina Hayati, Lisa Kisma Heny Djoehaeni Herwina Herwina Idat Muqodas Ika Fitri Apriani Indra Suhendra Iskandar, Budi Jaenudin, Irfan Jaya, Aris Johar Permana Juwita, Resti Kama Abdulhakam Khabibur Rohman Khabibur Rohman Khabibur Rohman, Khabibur Kusmara, Eka Fitrianurddini Laili, Ilmi Nur LELI KURNIAWATI Lumbantobing, Panca Ma Arsenia C Gomez Ma Arsenia Gomez Maftuh , Bunyamin Mahardika, Karla Mahshulah, Zulma Aimmatul Mamat, Nordin bin Maulinasari, Fani Mayumi N, Ema Morrison, Richard Mubiar Agustin Mubiar Mubiar Mubiar, Mubiar Muslim Muslim Muslim Mutiarasari, Airin Nana Supriatna Nana Supriatna Neni Hermita Ningtyas, Rani Kusuma Nordin Bin Mamat Nunuy Nurkaeti Nur Faizah Romadona Nuraly Masum Aprily Nurkholisoh, Diah Nurnaningsih A Nurul Fatonah Nurul Fatonah, Nurul Nury Yuniasih Nury Yuniasih, Nury Ocih Setiasih Pitriadi, Adi Pauji Prana Dwija Iswara Prana Dwija Iswara, Prana Dwija Pujianti, Tiara Puspitasari, Wina Dwi Rahayu, Alni Fitri Rahman Rahman Rahman Rahman Rahman Rahman Ratu Yustika Rini Risma Nuriyanti Rita Mariyana Rizki Hazazi Ali Rizkyani, Fatimah Rodiyana, Roni Rodiyana, Roni Roni Rodiyana Rosihon Anwar, Rosihon Rudianto, Apip Rudiyanto Rudiyanto, Rudiyanto Sapriya Sapriya Sapriya Sapriya Sapriya Sapriya Sapriya Katmajaya Siti Nadia Herdianti siti rahmah Sofyan, Davi Solahudin, M. Nizan Sulastri, Tati Sutinah, Cucun Syahrial, Ghina Saniyah Turmudi Turmudi Turmudi Vina Adriany Vismania S. Damaianti, Vismania S. Wahyu Sopandi Wardani, Duhita Savira Wihana, Hari Wishfa Laeli Zakiyyah Wiwi Pratiwi Wollo, Stevanya Lucia Wety Yanto, Ari Yeni Rachmawati yohamintin, yohamintin Yosi Gumala Yulianto, Ade Zakir, Nordiana