Year 2020, Volume 8 , Issue 1, Pages 591 - 611 2020-03-15

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
Subjects Education and Educational Research, Psychology
Published Date March 2020
Journal Section Thinking Skills
Authors

Orcid: 0000-0002-3763-4299
Author: Muhammad IKRAM (Primary Author)
Institution: Universitas Cokroaminoto Palopo
Country: Indonesia


Author: Purwanto -
Institution: Universitas Negeri Malang
Country: Indonesia


Author: I Nengah PARTA
Institution: Universitas Negeri Malang
Country: Indonesia


Author: Hery SUSANTO
Institution: Universitas Negeri Malang
Country: Turkey


Dates

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 <https://dergipark.org.tr/en/pub/jegys/issue/52150/665836>
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.