An Analysis of Errors in Solving Limits of Algebraic Function

Abstract

By knowing types of mistakes made by students when solving mathematics problems, teacher can choose right learning strategy to avoid similar errors. This study aims to identify students' errors in solving problems on limits of algebraic function. A total of 30 students in Yogyakarta vocational school who have studied concept of limits algebraic function, were asked to complete six questions without looking at the book in 45 minutes. Documents on student work were corrected by three mathematics teachers and identified the type of error that appeared. The results of the study are categorized into two types of errors: (1) procedural errors, including: errors not writing lim appropriately during executing limits, errors in substituting values into variables, errors not simplifying the final results, or no attempts; (2) conceptual error, including: errors in clearing fractions, errors in factoring, errors in rationalisation.