International Journal of Applied Learning and Research in Algebra
Vol. 3 No. 2 (2026)

From Concept Recognition to Problem Solving: An Indicator-Level Analysis of Students’ Conceptual Understanding of Algebra

Reva Gustri Sarah (University of Bengkulu)
Hari Sumardi (University of Bengkulu)
Edi Susanto (University of Bengkulu)



Article Info

Publish Date
01 Sep 2026

Abstract

Purpose – This study examines seventh-grade students’ mathematical conceptual understanding of algebra and identifies areas of conceptual difficulty. The study responds to concerns about weak algebraic understanding, reflected in a mean daily assessment score of 49.21 at a junior secondary school in Bengkulu, Indonesia. Methodology – A descriptive qualitative design involved 36 seventh-grade students. Data were collected through a mathematical conceptual understanding test and follow-up interviews. Students’ responses were analysed across indicators of restating concepts, representing concepts, selecting appropriate procedures, and applying concepts to problem solving. Findings – No students were classified in the high category; 16 students (44.44%) were in the moderate category and 20 (55.56%) in the low category, with an overall mean score of 27.08. Achievement was highest for restating concepts (42%), followed by representing concepts (31%), using appropriate procedures (22%), and applying concepts in problem solving (13%). Interviews also identified learning environment, facilities, self-regulation, learning independence, and access to learning resources as contextual factors related to students’ difficulties. Novelty – The study provides an indicator-level diagnostic profile showing that students’ difficulties become more pronounced as algebraic understanding moves from recalling and representing concepts toward procedural selection and problem application. Significance – The findings contribute contextual evidence to international research on algebra learning by identifying a progression of conceptual difficulties that can inform diagnostic assessment and targeted instruction in comparable lower-secondary mathematics settings.

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Journal Info

Abbrev

Algebra

Publisher

Subject

Mathematics

Description

This journal significantly contributes to our understanding of algebra material in education. We are open to submissions on all relevant topics and are specifically interested in the following research areas: Research articles about the theory and practical applications of algebra. An exhaustive ...