Pre-service Mathematics Teachers Reasoning on Linear Algebra Tian Abdul Aziz, Makmuri, and Lukman El Hakim
Universitas Negeri Jakarta
Abstract
In this study, Indonesian pre-service mathematics teachers reasoning on linear Algebra was analyzed. This research is a case study and involves as many as 42 second semester students at a public university in Jakarta. Student responses were analyzed and grouped into four categories based on their justification and rationalization. A five-item test which was developed by researchers and validated was administered. The findings of this study are that most of the participants have not been able to provide proper justification and rationalization for the five statements given. Sometimes the justification is not in line with the rationalization given. Based on these findings, it was found that the success or failure of students in providing justification and rationalization was at least influenced by three supporting factors or causes, namely: (1) concept understanding, (2) mathematical connections, and (3) mathematical proof. There are implications from the results of this study.
Keywords: Mathematics, Linear Algebra, Pre-Service Teachers, Reasoning
