Students' Critical Thinking Skills Toward The Relationship Of Limits, Continuity, And Derivatives Of Functions

摘要

Differential calculus specifically studies a function by discussing the limits, continuity, and derivatives that the function has. This study aims to find out how is description students' critical thinking skills towards the relationship of limits, continuity, and derivatives of functions. This study used an exploratory survey method with a questionnaire instrument. Data was taken from 49 students of the mathematics department at a university in Central Java. The results showed that students' critical thinking skills towards the relationship of limits, continuity, and derivatives of functions in the low category. The students' critical thinking skills towards the relationship of limits and continuity of functions were 6.63%, with clarification by 14.29%, assessment of 2.04%, the inference by 6.12%, and strategies by 4.08%. The students' critical thinking skills towards the relationship between continuity and derivatives of functions were 18.88%, with clarification by 48.98%, assessment by 4.08%, the inference by 18.37%, and strategies by 4.08%. These results are possible because students have a low understanding of the concept of limits of functions, and this can cause students to experience difficulties in calculus learning.