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Exploring the Potential Role of Reversible Reasoning: Cognitive Research on Inverse Function Problems in Mathematics

Muhammad IKRAM [1] , Purwanto - [2] , I Nengah PARTA [3] , Hery SUSANTO [4]

Researchers have argued that reversible reasoning is involved in all topics in mathematics. The study employed an qualitative research approach, consisted of three sessions (pre-assessment, thinking-aloud, and interview), and involved eight participants enrolled in Algebra class. The aim was to explore the potential role of reversible reasoning on students’ inverse functions. The result of study indicated that there three categories of reversible reasoning that refer to the consistency of students in completing inverse function tasks, which are relational-harmonic, relational-visual, and relational-identity. Mental activities performed by the students in constructing and reasoning inverse functions were also explained. In addition, potential aspects of the students’ reversible reasoning created during the process of constructing meaning were highlighted. These findings provide perspectives on reversible reasoning, students’ understanding of inverse functions, and areas of future research.
reversibility, reversible reasoning, inverse function, problem-solving
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Primary Language en Education and Educational Research, Psychology March 2020 Thinking Skills Orcid: 0000-0002-3763-4299Author: Muhammad IKRAM (Primary Author)Institution: Universitas Cokroaminoto PalopoCountry: Indonesia Author: Purwanto - Institution: Universitas Negeri MalangCountry: Indonesia Author: I Nengah PARTA Institution: Universitas Negeri MalangCountry: Indonesia Author: Hery SUSANTO Institution: Universitas Negeri MalangCountry: Turkey Publication Date : March 15, 2020
 Bibtex @research article { jegys665836, 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 = {591 - 611}, doi = {10.17478/jegys.665836}, title = {Exploring the Potential Role of Reversible Reasoning: Cognitive Research on Inverse Function Problems in Mathematics}, key = {cite}, author = {IKRAM, Muhammad and -, Purwanto and PARTA, I Nengah and SUSANTO, Hery} } APA IKRAM, M , -, P , PARTA, I , SUSANTO, H . (2020). Exploring the Potential Role of Reversible Reasoning: Cognitive Research on Inverse Function Problems in Mathematics. Journal for the Education of Gifted Young Scientists , 8 (1) , 591-611 . DOI: 10.17478/jegys.665836 MLA IKRAM, M , -, P , PARTA, I , SUSANTO, H . "Exploring the Potential Role of Reversible Reasoning: Cognitive Research on Inverse Function Problems in Mathematics". Journal for the Education of Gifted Young Scientists 8 (2020 ): 591-611 Chicago IKRAM, M , -, P , PARTA, I , SUSANTO, H . "Exploring the Potential Role of Reversible Reasoning: Cognitive Research on Inverse Function Problems in Mathematics". Journal for the Education of Gifted Young Scientists 8 (2020 ): 591-611 RIS TY - JOUR T1 - Exploring the Potential Role of Reversible Reasoning: Cognitive Research on Inverse Function Problems in Mathematics AU - Muhammad IKRAM , Purwanto - , I Nengah PARTA , Hery SUSANTO Y1 - 2020 PY - 2020 N1 - doi: 10.17478/jegys.665836 DO - 10.17478/jegys.665836 T2 - Journal for the Education of Gifted Young Scientists JF - Journal JO - JOR SP - 591 EP - 611 VL - 8 IS - 1 SN - -2149-360X M3 - doi: 10.17478/jegys.665836 UR - https://doi.org/10.17478/jegys.665836 Y2 - 2020 ER - EndNote %0 Journal for the Education of Gifted Young Scientists Exploring the Potential Role of Reversible Reasoning: Cognitive Research on Inverse Function Problems in Mathematics %A Muhammad IKRAM , Purwanto - , I Nengah PARTA , Hery SUSANTO %T Exploring the Potential Role of Reversible Reasoning: Cognitive Research on Inverse Function Problems in Mathematics %D 2020 %J Journal for the Education of Gifted Young Scientists %P -2149-360X %V 8 %N 1 %R doi: 10.17478/jegys.665836 %U 10.17478/jegys.665836 ISNAD IKRAM, Muhammad , -, Purwanto , PARTA, I Nengah , SUSANTO, Hery . "Exploring the Potential Role of Reversible Reasoning: Cognitive Research on Inverse Function Problems in Mathematics". Journal for the Education of Gifted Young Scientists 8 / 1 (March 2020): 591-611 . https://doi.org/10.17478/jegys.665836 AMA IKRAM M , - P , PARTA I , SUSANTO H . Exploring the Potential Role of Reversible Reasoning: Cognitive Research on Inverse Function Problems in Mathematics. JEGYS. 2020; 8(1): 591-611. Vancouver IKRAM M , - P , PARTA I , SUSANTO H . Exploring the Potential Role of Reversible Reasoning: Cognitive Research on Inverse Function Problems in Mathematics. Journal for the Education of Gifted Young Scientists. 2020; 8(1): 611-591.

Authors of the Article
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