Analysis of Mathematical Abstraction Ability for Senior High School Students Viewed by Adversity Quotient
Siti Nurjannah, Kusnandi, and Dadang Juandi

Universitas Pendidikan Indonesia

Abstract

This study aims to describe the level of mathematical abstraction ability in the application material of functional derivatives in terms of the level of Adversity Quotient (AQ) students have. This research is a descriptive study using a qualitative approach. The subjects of this study were obtained by implementing the Adversity Quotient (AQ) test using the Adversity Response Profile (ARP) questionnaire instrument developed by Stoltz (2000) which was attended by 34 students of class XI one of the high schools in Indramayu Regency. The results of the ARP questionnaire classify from 34 students into 6 students to take the mathematical abstraction ability test, each of which is taken by 2 students based on AQ level, namely 2 Quitter (Qu) students, 2 Camper (Ca) students, 2 Climber (Cl) students. Mathematical abstraction ability is divided into 4 levels, namely level 1 recognition, level 2 representation, level 3 structural abstraction, and level 4 abstraction awareness. The results of the students^ mathematical abstraction ability test showed that Qu students were at a transitional level for levels 1 to 4. Ca students were also at a partial complete level for levels 1 to 4. Cl students were at the complete level for all levels 1 to level 4. Qualitative linkages which was found between the level of mathematical abstraction and the AQ level of the Camper and Climber students where the two students consistently answered questions level 1 to 4 completely. Several types of errors were found when students solved mathematical abstraction questions including the error category CE (Comprehension Error), TE (Transformation Error), PSE (Process Skill Error), and EE (Econding Error).

Keywords: mathematical abstraction, derivative application, adversity quotient, student error, Newman^s theory

Topic: Mathematics Education