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Journal : Journal of Research and Advances in Mathematics Education

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 Buchori Afifah, Yuni Nur Agnita Siska Pramasdyahsari Agnita Siska Pramasdyahsari, Agnita Siska Al Khaedar, Istian Diaz Aldira Eka Fauzanah Ali Shodiqin Anggi Tristianti Aprilianawati, Diah Mutiara Arisyanti, Dyah Ayu Aryan Eka Prasetya Nugraha Aryan Eka Prastya Nugraha, Aryan Eka Prastya Aryo Andri Nugroho Astuti, Nisa Atma, Singgih Rudi Aurora Nur Aini Aurora Nur Aini Baldemor, Milagros Bayty, Sherly Danisa Putri Indriyani Devarosary, Vifta Dewi Widya Astuti Dewi Wulandari Dewi Wulandari Dewi, Grahita Sukma Dhian Endahwuri, Dhian Dhoni Kristiawan Dina Prasetyawati Dina Prasetyowati Djoko Purnomo Drifanda, Valdyan Duwi Nuvitalia Dwi Mayangsari Dwi Puspa Anjasari Eko Sugiyono Emi Rahmawati Endah Puji Astuti, Endah Puji Evi Suprihatin Handayani Evinia Kusuma Dewi Farida Nursyahidah Fatheh Anandito Kurniawan Fauzi, Wawan Fenny Roshayanti Fiki Kholilatun FX. Didik Purwosetiyono Habibah, Novalin Hapsari, Vania Sita Hartato, Jarot Rudi Hasrun Afandi UmpuSInga Hayat, M Syaipul Hendrisa Adrillian Heni Purwati hidayatul muna Ida Dwijayanti Khoirunisa, Jihan Afifah Khusnul Fajriyah Kurniawan, Rizki Lely Kurniawati, Annisa Lilik Ariyanto Linda Koes Puji Astuti Loesy Poerhandajani Lukman Hakim Lukman Harun Maftuhin Hudah Marheinna, Adinda Mina Tika Selviana Muhammad Prayito Muhammad Rico Aulya Muhammad Ryan Fahlevi Muhammad Saifuddin Zuhri Muhtarom Mujiasih Mujiasih Mujiasih Mujiasih Murgiwati Murgiwati Mustaqfiroh Nabila Ayu Pertiwi Nihara Aulyana Utami Noora Qotrun Nada, Noora Qotrun Noviana Dini Rahmawati, Noviana Dini Novita Ayu Andani Nur Asiyah Nurfitriani, Anisa Nurina Happy Pramasdyahsari, Agnita Siska Purwosetiyono, F.X Didik Putri, Anggraini Silvia Putri, Zhafarina Maulida Qauliyah, Dewi Sesanti Rahmatika Diah Silvia Rahmawati, Fadila Rahmawati, Nur Indah Rasiman Rasiman Ratnasari, Dede Febriani Rizky Esti Utami, Rizky Esti Rosita Kusumawati Ruliani, Iva Desi Sari, Eva Martia Savitri, Anting Sa’adah, Aulia Naili Sa’diyah, Uswatun Septiyana, Linda Sri Wening Handriastuti Sri Wening Handriastuti Sudargo Sugiyanti Sugiyanti Sumarno Sumarno Supandi Supandi Sutrisno Sutrisno Sutrisno, Sutrisno Tristianti, Anggi Utomo, Rachmat Karno Wahidiyah, Nur Ayu Wulandari, Ratri Gita Y. Gatot Aji Suseno Yanuar Hery Murtianto Yanuar Hery Murtianto Yanuar Hery Murtianto Yanuar Hery Murtianto Yanuar Hery Murtianto