© 2025 JETIR August 2025, Volume 12, Issue 8 www.jetir.org (ISSN-2349-5162)
JETIR2508488 Journal of Emerging Technologies and Innovative Research (JETIR) www.jetir.org e654
A Focused Analysis of Common Difficulties Faced by
Class IX Students in Algebra
Ashish Kumar Sethi
Ph.D. Scholar
Department of Education
Regional Institute of Education, NCERT
Bhubaneswar, Odisha
Abstract
Students’ Mathematics performance in schools is one of the major concerns in Mathematics education. Students
face several difficulties while learning mathematics in their school years. Among the sub-branches of Mathematics,
students are found to have greater difficulties in algebra, which moves beyond basic mathematics and prepares for
higher mathematics. This study is conducted with an objective to find out the specific difficulties faced by secondary
school students while solving algebraic problems. For this, a descriptive survey method is employed. Samples are
randomly selected from 4 CBSE schools in Bhubaneswar city of Odisha. A self-developed criterion-referenced test
is administered based on the NCERT class IX mathematics textbook. The error analysis technique is used to analyze
the data. Among the specific difficulties solving word problems using the variables, factorization of the polynomials
using the identity, finding the degree of polynomials, applying the identities to solve algebraic problems, finding the
zeros of the polynomials, factorizing the quadratic polynomials are found to be some of the areas where maximum
number of students struggle. Few students face difficulties even with the simplest of the problems of algebra like
finding the solutions of a linear equation. The difficulties faced by students and the types of errors with examples
are detailed in the article. Major findings with discussion along with their implications for students, teachers and
also for teacher education programs are highlighted. Thus, it helps to gain a better understanding into learning of
algebra and try out possible solutions for students while solving algebraic expressions.
Keywords: Mathematics, Secondary School Students, Specific Difficulties, Algebra, Class IX
1. INTRODUCTION
Mathematics is one of the most important subjects for the everyday life of human beings. Without the basic
understanding of it, we can say nothing is possible. Mathematics has been accepted as an important component of
formal education from the ancient period to the present day (Kandeel, 2019). Students learn mathematics well only
when they construct their mathematical understanding and this understanding requires them to examine, represent,
transform, solve, apply, prove, and communicate. The main goal of mathematics education is to develop children's
abilities for mathematization (NCF, 2005). But in fact, difficulties make mathematics less desirable, feared, and
boring for students. This can be seen from the students’ poor results in mathematics. For this, educationists as well
as the state are facing the challenges with the problems of failure in board examinations in mathematics.
The mathematical concept is a mental construct. These concepts are hierarchically related. The process of concept
acquisition involves the process of associating understanding gained from real or partly real experiences with the