IndoMath: Indonesia Mathematics Education
Vol 9, No 2 (2026): Article in Press

Diagnostic Analysis of Grade 11 Learners’ Errors in Trigonometric Function Graphs: A Mixed-Methods Investigation.

Ronke Anifat Adebayo (Department of Science Mathematics and Technology Education, University of Pretoria, south Africa)
Hanlie Botha (Department of Science Mathematics and Technology Education, University of Pretoria, south Africa)



Article Info

Publish Date
20 Aug 2026

Abstract

Trigonometric function graphs are a central component of the secondary mathematics curriculum and underpin further learning in STEM disciplines. Yet learner performance in this area remains persistently weak, with errors commonly observed in examination contexts. This study investigated the types and underlying causes of errors made by Grade 11 learners when solving tasks on trigonometric function graphs. A mixed-methods design was adopted. Data were gathered from 150 learners through a researcher-developed Trigonometric Achievement Test, from which 30 scripts were subjected to detailed analysis, and semi-structured interviews with 15 learners provided complementary insight. Errors were classified using Newman’s Error Analysis Framework, and Radatz’s cognitive model was used to identify underlying causes. Findings revealed that comprehension errors (33%) and misconceptions (31%) were most common, followed by encoding errors (17%). Learners experienced difficulty with horizontal shifts, determining range and asymptotes, and reasoning graphically from symbolic expressions, often relying on procedural rather than conceptual strategies. The study concludes that reducing error prevalence requires diagnostic, concept-focused instruction that integrates visual and algebraic representations. It recommends use of error-analysis frameworks in classroom practice and professional support for teachers. Future research should examine the effects of conceptual intervention and technological tools on learners’ understanding of trigonometric graphs.

Copyrights © 2026






Journal Info

Abbrev

indomath

Publisher

Subject

Humanities Education

Description

Indomath publishes theoretical or empirical studies related to specific teaching and learning in the field of Mathematics Education. Indomath received publications from teachers, lecturers, and students as well as from observers and researchers of mathematics education. The scope of scientific ...