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All Journal International Journal of Evaluation and Research in Education (IJERE) Journal on Mathematics Education (JME) Kreano, Jurnal Matematika Kreatif-Inovatif Journal on Mathematics Education (JME) Jurnal Pendidikan Matematika Pedagogia: Jurnal Pendidikan Journal of Research and Advances in Mathematics Education JPK (Jurnal Pancasila dan Kewarganegaraan) International Journal on Emerging Mathematics Education Beta: Jurnal Tadris Matematika JURNAL EDUCATION AND DEVELOPMENT Jurnal Basicedu Proceeding of World Conference International Journal for Educational and Vocational Studies Community Development Journal Jurnal Review Pendidikan Dasar : Jurnal Kajian Pendidikan dan Hasil Penelitian Jurnal Abdi: Media Pengabdian Kepada Masyarakat Jurnal Penelitian Pendidikan Matematika dan Sains Southeast Asian Mathematics Education Journal International Journal on Teaching and Learning Mathematics Jurnal Basicedu National Conference for Ummah JRAMathEdu (Journal of Research and Advances in Mathematics Education)
Siti Maghfirotun Amin
Universitas Nahdlatul Ulama Surabaya, Indonesia
Agriculture, Biological Sciences & Forestry Arts Humanities Chemistry Computer Science & IT Economics, Econometrics & Finance Education Engineering Environmental Science Languange, Linguistic, Communication & Media Mathematics Medicine & Pharmacology Nursing Public Health Social Sciences Other

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Journal : Southeast Asian Mathematics Education Journal

 1 
A Learning Trajectory of Indonesian 12-years Old Students Understanding of Division of Fractions Achmad Nizar; Siti Maghfirotun Amin; Agung Lukito
Southeast Asian Mathematics Education Journal Vol 7, No 2 (2017)
Publisher : SEAMEO Regional Centre for QITEP in Mathematics

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (424.595 KB) | DOI: 10.46517/seamej.v7i2.52

Abstract

The purpose of this study was to describe mathematical hands-on activities that can support students to gain better understanding of dividing fractions. This preliminary research phase was started by testing, analyzing, and refining the initial hypothetical learning trajectory (HLT), then in the pilot experimental phase the revised HLT was implemented, and ended with the teaching experimental phase by developing a learning trajectory for 12-year old students in understanding division of fractions. In developing the trajectory, a design research methodology was employed by using four contextual-based learning series (sharing biscuit, sharing remaining chocolate bar, arranging bedroom mats, and running around school yard), including providing some concrete materials or pictorial models as manipulative tools. Seven mathematics experts and twenty five 12-year old students were involved during the research. The four designed learning goals were determining the quotient of division of integer by proper fraction, proper fraction by integer, two proper fractions, and two fractions. Students succeeded in demonstrating their understanding and stated that 16:1/2 = 32; 25/36:5 = 5/36; 24/64:1/2 = 6/8; and 15/2:3/4 = 10 respectively at the end of each designed activity. The interesting results of this study are not a proof, so that a much larger study is needed to determine if the results are due to this approach or due to the teachers’ enthusiasm or what is known as the Hawthorne Effect.
Co-Authors Abadi Abadi Abd. Kadir Jaelani Abdul Talib Bin Bon Achmad Nizar Agung Lukito Agung Lukito Agung Lukito AGUNG LUKITO Agus nur fuad Ahmad Wachidul Kohar Alfath Famela Rokhim APRI PUSPITASARI, RICKE Astutik Anggraini Binta Khumairoh CAROLINA SAVITRI, INTAN Chusnal Ainy Cut Khairunnisak Darin Fouryza Dede de Haan Destina Wahyu Winarti DIAN WIDIASTUTI, ATIK Dwi Juniati Elly Matul Imah Endah Budi Rahaju Evangelista Lus Windyana Palupi Evy Novia Nanda Artama Fadhilah Lailatul Maghfiroh faot, maria margaretha Fathoni Fathoni Fathoni Fathoni FAUZUL ADHIM, BIMA Febriana Kristanti Fiangga, Shofan Fifi Khoirul Fitriyah Fitriani Rafikasari Frans Van Gallen Gaenti Debiramasari Hadi Prawiro Herfa Maulina Dewi Soewardini Hery Setiawan I Ketut Budayasa KAMILINA, ILMA Kamirsyah Wahyu Kasiyun, Suharmono Lathiful Anwar Lestariningsih Lestariningsih Malikatun Ngilman Nafiah Mariana, Risa Moch Lutfianto MULYANI BM, SRI MUSLIMIN IBRAHIM Mustaji Mustaji Mustaji Mustaji, Mustaji Mustika Kurniasari Nafiah Nafiah Neni Mariana Novita Dian Dwi Lestari Nur Indah Sylvia Nur Yum Saidah Patmaniar, Patmaniar Pradnyo Wijayanti Raden Sri Ayu Ramadhana Raden Sulaiman RADEN SULAIMAN RENI PUJI ASTUTI, EKA Robiatul Adawiyah ROHIM, NURUR Rooselyna Ekawati ROSSY KIRANA PRASTITI, ANDIKA Saidah, Nur Yum Septi Triyani Shoffan Shoffa Siti Khabibah Siti Khabibah Siti Khabibah Siti Khabibah Sri Hartatik Suhartono Suhartono Sukron Djazilan Tatag Yuli Eko Siswono UMMAH, ROCHMATUL Wahyu, Kamirsyah Wiryanto Wiryanto Yosep Dwi Kristanto YUSUF FUAD Zianatul Lailah