Identification of Student Errors in Solving Problems on the Limit of Algebra Functions in Class XI SMAN 4 Palangkaraya

Abstract

This study aims to describe the mistakes of class XI students of SMA Negeri 4 Palangka Raya in solving the limit problem of algebraic functions and their causative factors. This research is a descriptive study with a qualitative approach. Data collection techniques are tests and interviews. The research instrument was a question sheet and interview guidelines. The questions used are in the form of a description consisting of 5 questions. Before being used, the questions were reviewed by 3 raters, namely 2 mathematics education lecturers and 1 mathematics teacher. From the results of the study it was concluded that all questions could be used. Checking the validity of the data was carried out by observing persistence and triangulation of sources. Then the collected data were analyzed using data analysis techniques proposed by Miles and Huberman, namely data reduction, data presentation, and drawing conclusions.

The results showed that the errors made by students on the limit of algebraic functions were: (1) Conceptual errors: (a) errors in understanding the concept of limits which consist of formulas, theorems and definitions of limits. (b) the use of formulas, theorems and definitions of limits that are inconsistent with the conditions for the application of the formula; 2) Procedural errors: (a) errors in calculations, (b) inability to write work steps regularly. (c) errors in applying rules, principles or formulas. (d) the inability of students to manipulate algebraic forms based on applicable properties or principles. As for the factors causing students in this study in terms of internal factors of students.