Conceptual Understanding of Limits and Continuity of Functions: Senior four Rwandan Secondary Schools


Author:
Jean Pierre Alpha Munyaruhengeri*1 , Odette Umugiraneza2 , Jean Baptiste Ndagijimana3 , Theoneste Hakizimana4

Journal Name:
Educational Studies in Mathematics

Volume Number:
111

Issue Number:
3

Date:
December 2022

Key Words:
Calculus, conceptual understanding, limits and continuity concepts, mathematical errors, Teaching mathematics.


Abstract:
The aim of this study is to examine the student’s conceptual understanding of limits and continuity of functions of one real variable, in upper secondary school in two districts of Rwanda. The study employed a mixed methods research approach which is explanatory sequential research design. The sample consisted of 21 teachers and 252 senior four students with mathematics in their option. The data sources included achievement tests, classroom observations, focus group interviews, and informal discussions before and after classroom instruction. After analyzing students’ errors committed when solving limits and continuity functions, the findings showed that most of the learners indicated different categories of misconceptions and errors in limits and continuity. The source of these errors was probably the methodology used to teach and teachers’ lack of conceptual understanding of these functions. The study recommends that teachers should be empowered with skills to help their students handle misconceptions about limits and continuities


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