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Ida Dwijayanti
Universitas PGRI Semarang
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Journal : Journal of Research and Advances in Mathematics Education

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Exploring students' creative thinking in the use of representations in solving mathematical problems based on cognitive style Nugroho, Aryo Andri; Nizaruddin, Nizaruddin; Dwijayanti, Ida; Tristianti, Anggi
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 2 June 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v5i2.9983

Abstract

Creative thinking is the cognitive activities that process the received information to produce new representations. Therefore, it is necessary to develop creative thinking and represent a problem. This study aims to investigate the students' creative thinking processes based on representation in solving mathematical problems reviewed from cognitive style. Qualitative research was used as a procedure of the study. The data was collected through MFFT questionnaires, mathematics problem tests, and interviews. This research involved 31 eighth-grade students at one of junior high school in Kendal regency, Central Java. Those two subjects represented the reflective and impulsive cognitive styles that have been selected based on their mathematical abilities. The data was analyzed through iterative method. The results of the study showed that both subjects demonstrated a different performance in solving problem. In term of fluency, both subjects used visual representations in interpreting information. On the originality, the reflective subject used symbolic representations. while the impulsive one used symbolic and verbal representations in constructing the mathematical expressions. However, both of them have not yet created new ideas in solving problems. Moreover, on the flexibility, these both subjects used visual and symbolic representations that could solve the problems by utilizing the environment objects towards the interpret problems into mathematical expressions. However, the reflective subject made a mistake in elaborating the formula as well as the impulsive subject can do it. These results indicated that both subjects have used the representation of each indicator of creative thinking in solving problems.
Exploring students' creative thinking in the use of representations in solving mathematical problems based on cognitive style Aryo Andri Nugroho; Nizaruddin Nizaruddin; Ida Dwijayanti; Anggi Tristianti
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 2 June 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v5i2.9983

Abstract

Creative thinking is the cognitive activities that process the received information to produce new representations. Therefore, it is necessary to develop creative thinking and represent a problem. This study aims to investigate the students' creative thinking processes based on representation in solving mathematical problems reviewed from cognitive style. Qualitative research was used as a procedure of the study. The data was collected through MFFT questionnaires, mathematics problem tests, and interviews. This research involved 31 eighth-grade students at one of junior high school in Kendal regency, Central Java. Those two subjects represented the reflective and impulsive cognitive styles that have been selected based on their mathematical abilities. The data was analyzed through iterative method. The results of the study showed that both subjects demonstrated a different performance in solving problem. In term of fluency, both subjects used visual representations in interpreting information. On the originality, the reflective subject used symbolic representations. while the impulsive one used symbolic and verbal representations in constructing the mathematical expressions. However, both of them have not yet created new ideas in solving problems. Moreover, on the flexibility, these both subjects used visual and symbolic representations that could solve the problems by utilizing the environment objects towards the interpret problems into mathematical expressions. However, the reflective subject made a mistake in elaborating the formula as well as the impulsive subject can do it. These results indicated that both subjects have used the representation of each indicator of creative thinking in solving problems.
Co-Authors Achmad Asrori Achmad Buchori Aditya, Derisna Aditya, Derisna Aeti, Siti Agnita Siska Pramasdyahsari, Agnita Siska Agustin Arum Setiyana Ainiyyah, Qurrotul Ali Shodiqin Alvianti, Shintya Dewi Meilla Amalia Fitria Ningsih Anggi Tristianti Antika Hananda Elya Adam Anton Sukarno,, Anton Anuraga, Bayu Septian Ardiana Nur Maulida Hakim Ardianingtyas, Illyuna Rizki Ari Susanti Arum Asmawati Aryo Andri Nugroho Asfijatun Asmawati, Arum Atik Wahidatul Hasanah Aurora Nur Aini Bagus Ardi Saputro Budi Astuti Candra Kristiyan Dayati Erni Cahyaningrum Derisna Aditya Devega, Lidya Devega, Lidya Septia Dewi Mashitoh Dewi Wulandari Dewi, Tiyas Purnama Kartika Dhian Endahwuri Dwi Ariyanti, Mei Riska Dwi Suratimah Eka Sulistyowati, Eka Eny Astuti Erma Khristiyowati Erni Kurniawati Ervina Eka Subekti Fatekhah, Khoiril Fatimah, Nurulul Fatmala, Eva Febriani, Saniya Fenny Roshayanti Fenyvesi, Kristof Ferina Agustini Filia Prima Artharina Fine Reffiane Finola Anastasia Putri Firdausy, Angelina Galuh Ajeng Mulatsih Galuh Hargiarti, Widya Sonia Harminanti, A. Tuty Hasanah, Rofiatul Henry Januar Saputra, Henry Januar Hernawati, I Gusti Putu Wati Herowati, Eny I Ketut Budayasa Iffana FR Ismatul Khasanah isnaini naffi'an isnaini naffi'an Istiana Wijayanti Izzah, Khodijah Habibatul J Sustaminawhanti Joko Sulianto . . Joko Suliyanto Joko Suliyanto Junaedah, Tati Kartinah Kartinah, Kartinah Koyimah, Siti Kurniawan, Ganang Aji Kusen Kusen Kustiana Dewi Kusumasari, Ervita Dwi Latifatul Ariyani Lestari, Alberta Budi Lidya Devega Lilik Ariyanto Lukman Hakim Lutfiyana Lutfiyana M A Budiman Maharani Dwi Ayuni Mansyur, Madaliyah Izah Maria Ulfah . Mei Fita Asri Untari Monica Arningsari Mudzanatun Muhammad Prayito Muhtarom muhtarom Mulyani Mulyani Nailia, Vika Naufanda, Muchammad Fitra Navia, Anin Niwi Sruti Handayani Nizaruddin Nizaruddin Noordin, Muhammad Khair Noviasari, Tutik Nur Chasanah Nurfarida, Akhdian Dwi Nuza Hery Setyani P, Agnita Siska Prasetyo Yuda Atmoko Pratiwi, Yogi Indah Putri, Isroviana Ardani R E Utami Rafika Nuriafuri Rahayu, Zunika Agung Rahmasuri, Anggita Ratih Rasiman Rasiman Rasiman Reski Wening Asmarani Ria Indrawati Rina Dwi Setyawati Risnawati, Nani Rizky Esti Utami, Rizky Esti Rizqianna, Tsania Ayyusti Rochamin Rohmah Khasanah Rohmah, Siti Muarifatul Sari, Galuh Veranika Ferdiana Septiaji Evi Natanti Setiyana Fajar Wati Setiyana, Agustin Arum Sholikhah Siti Marfuah, Siti Sofiani, Eka Putri Solekah Sri Mujiatun Sri Wahyuni Sriyatun Startyaningsih, Theresia Sukat Sukma Nur Ardini Sulistiyorini, Sulistiyorini Sulistyowarno, Anindyo Windi Sumarno Sumarno . Sumarno Sumarno Sumarno Sumarno Sunandar Sunandar Supandi Surya, Adi Darma Susi Handayaningsih Susianingsih, Ika Susilo Adi Saputro Sustaminawhanti, J Sustaminawhanti, J. Sutinah Tajqiyah, Lina Tatag Yuli Eko Siswono Theresia Sawitri Tristianti, Anggi Triyono Triyono Utami, Linda Putri Utomo, Hary Nurprio Wahyu Tri Utami Wati, Setiyana Fajar Widayati, Ligar Wijayanti, Syarafina Fajrin Winda Ardyani wulandari, oky Wulansari, Mia Yogi Indah Pratiwi Zakiyah, Luluk Zuhrotun Nisa