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## How are students’ reflective thinking for problem solving?

#### Muhammad Noor KHOLİD [1] , Cholis SA'DIJAH [2] , Erry HİDAYANTO [3] , Hendro PERMADİ [4]

Mathematics students with a reflective thinking tend to have self-confidence in solving mathematics easily. In recent years, however, there have not been the results of the researches that classify students’ reflective thinking for solving non-routine questions of Analytical Geometry questions, in particular. The present research paper reveals the new classification of the students’ reflective thinking for solving the problems. These are solving Analytical Geometry which can cause the students’ confusion to apply their reflective thinking. The classification of the study comprises four components. It employed a descriptive-qualitative approach. The amounts of the subjects were 21 out of 140 students who used their reflective thinking for solving questions. The data collection consisted of test, observation, and in-depth interview. The data validation employed a method triangulation technique. The results of the study show there are three classification of reflective thinking, namely: assumptive, virtual, and connective. The three classifications differ in the way they deal with confusion. Meanwhile, the three classifications have similarities. The students tended to use all of the reflective thinking components although there were a few indicators that were not realized maximally. These were making a plan before solving the problems, using an efficient way, and relating among concepts. The factor is students play an inactive role or low active in reflective thinking. Moreover, they think that the most important thing is answering the questions correctly and they do not understand the purposes of the problem. Therefore, the students need to get the treatments.
analytic geometry, non-routine questions, reflective thinking
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Primary Language en Education, Scientific Disciplines September 2020 Thinking Skills Orcid: 0000-0002-7215-3239Author: Muhammad Noor KHOLİD Institution: Universitas Negeri MalangCountry: Indonesia Orcid: 0000-0002-0264-8578Author: Cholis SA'DIJAH (Primary Author)Institution: Universitas Negeri MalangCountry: Indonesia Orcid: 0000-0001-9412-0799Author: Erry HİDAYANTO Institution: Universitas Negeri MalangCountry: Indonesia Orcid: 0000-0001-7491-8699Author: Hendro PERMADİ Institution: Universitas Negeri MalangCountry: Indonesia Directorate of Research and Community Service (DRPM BRIN) the Republic of Indonesia The authors are very grateful to Director of Directorate of Research and Community Service (DRPM BRIN) the Republic of Indonesia on research funding 2020. Publication Date : September 15, 2020
 Bibtex @research article { jegys688210, journal = {Journal for the Education of Gifted Young Scientists}, issn = {}, eissn = {2149-360X}, address = {editorjegys@gmail.com}, publisher = {Genç Bilge Yayıncılık}, year = {2020}, volume = {8}, pages = {1135 - 1146}, doi = {10.17478/jegys.688210}, title = {How are students’ reflective thinking for problem solving?}, key = {cite}, author = {Kholi̇d, Muhammad and Sa'dıjah, Cholis and Hi̇dayanto, Erry and Permadi̇, Hendro} } APA Kholi̇d, M , Sa'dıjah, C , Hi̇dayanto, E , Permadi̇, H . (2020). How are students’ reflective thinking for problem solving? . Journal for the Education of Gifted Young Scientists , 8 (3) , 1135-1146 . DOI: 10.17478/jegys.688210 MLA Kholi̇d, M , Sa'dıjah, C , Hi̇dayanto, E , Permadi̇, H . "How are students’ reflective thinking for problem solving?" . Journal for the Education of Gifted Young Scientists 8 (2020 ): 1135-1146 Chicago Kholi̇d, M , Sa'dıjah, C , Hi̇dayanto, E , Permadi̇, H . "How are students’ reflective thinking for problem solving?". Journal for the Education of Gifted Young Scientists 8 (2020 ): 1135-1146 RIS TY - JOUR T1 - How are students’ reflective thinking for problem solving? AU - Muhammad Kholi̇d , Cholis Sa'dıjah , Erry Hi̇dayanto , Hendro Permadi̇ Y1 - 2020 PY - 2020 N1 - doi: 10.17478/jegys.688210 DO - 10.17478/jegys.688210 T2 - Journal for the Education of Gifted Young Scientists JF - Journal JO - JOR SP - 1135 EP - 1146 VL - 8 IS - 3 SN - -2149-360X M3 - doi: 10.17478/jegys.688210 UR - https://doi.org/10.17478/jegys.688210 Y2 - 2020 ER - EndNote %0 Journal for the Education of Gifted Young Scientists How are students’ reflective thinking for problem solving? %A Muhammad Kholi̇d , Cholis Sa'dıjah , Erry Hi̇dayanto , Hendro Permadi̇ %T How are students’ reflective thinking for problem solving? %D 2020 %J Journal for the Education of Gifted Young Scientists %P -2149-360X %V 8 %N 3 %R doi: 10.17478/jegys.688210 %U 10.17478/jegys.688210 ISNAD Kholi̇d, Muhammad , Sa'dıjah, Cholis , Hi̇dayanto, Erry , Permadi̇, Hendro . "How are students’ reflective thinking for problem solving?". Journal for the Education of Gifted Young Scientists 8 / 3 (September 2020): 1135-1146 . https://doi.org/10.17478/jegys.688210 AMA Kholi̇d M , Sa'dıjah C , Hi̇dayanto E , Permadi̇ H . How are students’ reflective thinking for problem solving?. JEGYS. 2020; 8(3): 1135-1146. Vancouver Kholi̇d M , Sa'dıjah C , Hi̇dayanto E , Permadi̇ H . How are students’ reflective thinking for problem solving?. Journal for the Education of Gifted Young Scientists. 2020; 8(3): 1135-1146.

Authors of the Article
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[4]