Interference in Solving Mathematical Problems
Muhammad Irfan
1
, Cholis Sa’dijah
2
, Naufal Ishartono
3
, Sri Adi Widodo
4
, Arief Aulia
Rahman
5
, Muhammad Nur Hudha
6
{muhammad.irfan@ustjogja.ac.id
1
, cholis.sadijah.fmipa@um.ac.id
2
, ni160@ums.ac.id
3
}
Universitas Sarjanawiyata Tamansiswa
1,4
Universitas Negeri Malang
2,3
Universitas Muhammadiyah Surakarta
5
Universitas Kanjuruan Malang
6
Abstract. Many mathematical topics taught in schools have similarities in the structure
of the problem, and the material is taught closely. Students often make mistakes in
determining the problem solving method so that the answer is wrong. This error occurs
because of the mixing of two knowledge that is close together so that someone is wrong
in recalling the knowledge that should be used. In information processing theory, the
event can be called interference. This paper will discuss how interference occurs in
students' thinking processes when they solve mathematical problems. Subjects in this
study were fourth semester students at one of the private universities in Yogyakarta
selected purposively. This study uses an explorative qualitative approach, where
researchers try to explore the process of the occurrence of student interference in solving
mathematical problems. The findings of this study are that students experience semantic
interference when changing word problem to mathematical models and when interpreting
the answers obtained. In addition, students also experience procedural interference when
choosing strategies to solve problems, resulting in incorrect answers.
Keywords: interference, semantic, procedure
1 Introduction
The topic of the proportion taught at junior high school starts from the proportion of two
quantities, direct proportion, and inverse proportion. Each of these topics has keywords and
characteristics that distinguish each type of proportion. In general, proportion is written in
form of
a c
b d
where a and c are the values of a variable, b and d are the values of other
variables [1]–[3]. In addition to this form, a proportion can also be presented in the form of
., 0 y mxm [4]. Because the presentation is diverse, many students have difficulty
understanding the concept of proportion [5]. In addition, the difficulty of students in
understanding the concept of proportion is that they relate the concepts of propositions in their
daily lives such as: speed, measurement, congruence, geometry, trigonometry [6]–[8]. Many
math teachers teach proportions only emphasize the procedure according to what is written in
the book. Moreover, math books used in schools contain formal rules for solving problems.
Correspondingly, in general teachers only teach proportions by applying cross-multiplication
rules to solve proportion problems [6]. When students apply the procedures taught by the
teacher, and find the answers, they don't necessarily understand what is written. The use of
ICSTI 2018, October 19-20, Yogyakarta, Indonesia
Copyright © 2019 EAI
DOI 10.4108/eai.19-10-2018.2281319