Open AccessKONFLIK KOGNITIF MAHASISWA DALAM MEMAHAMI KONSEP GEOMETRI HIPERBOLIK DAN ELLIPTIK
Author(s) -
Mega Teguh Budiarto,
Ratna Setyaningsih
Publication year - 2020
Publication title -
jurnal pendidikan matematika
Language(s) - English
Resource type - Journals
eISSN - 2655-6464
pISSN - 2655-2841
DOI - 10.30598/jupitekvol2iss2pp69-76
Subject(s) - accommodation , euclidean geometry , cognition , foundations of geometry , hyperbolic geometry , parallels , mathematics , axiom , representation (politics) , geometry , analytic geometry , salient , computer science , algebra over a field , pure mathematics , psychology , projective geometry , differential geometry , artificial intelligence , mechanical engineering , neuroscience , politics , political science , law , engineering
Using schemes of Euclid's geometrical concepts in long-term memory to understand hyperbolic geometry and elliptic geometry concepts with assimilation and accommodation allows for cognitive conflict. This study aims to reduce the occurrence of cognitive conflict by understanding the mathematical content of the three of Euclidean geometries, hyperbolic and elliptic. The research was conduct used descriptive exploratory. The results indicate that Euclid's geometry representation is still used in representing hyperbolic and elliptic geometry so that cognitive conflict occurs. Cognitive conflicts that occur are related to the position of two lines, parallels, two triangles with the same that correspond angles, intersects one of two parallel lines, the number of angles in a triangle, and Sacherri's valid hypothesis. The efforts that can be made to reduce the occurrence of cognitive conflict are to change existing schemes or create new schemes so that the information obtained can be combined into existing schemes in a deductive axiomatic approach to material content through the accommodation process