VOL. 2, NO. 4, May 2012 ISSN 2225-7217
ARPN Journal of Science and Technology
©2011-2012. All rights reserved.
http://www.ejournalofscience.org
313
Experimental Research about Effect of Mathematics Anxiety, Working
Memory Capacity on Students’ Mathematical Performance With Three
Different Types of Learning Methods
1
Saeed Daneshamooz and Hassan Alamolhodaei,
2
Saeed Darvishian
1
School of Mathematical Sciences-Ferdowsi University of Mashhad
2
Department of Engineering-Islamic Azad University, Neyshabur Branch
ABSTRACT
The purpose of this quasi-experimental was to investigate the effect of two predictive factors (mathematics anxiety,
working memory capacity) on mathematical performance of three groups of college students with three different learning
methods. Students in 1st group studied the material cooperatively; students in the 2nd group studied the material in e-
learning method and students in 3th group studied the material in traditional class. Three chapter’s tests were used to
measure students’ Mathematical achievement. The significant negative correlation between mathematics anxiety and
mathematical performance and positive correlation between mathematical performance and working memory capacity
were found. One of the results of this study showed that students in the cooperative learning groups had significantly
higher test scores than students in the other groups. Moreover, there is a significant interaction effect of working memory
capacity and mathematics anxiety on mathematical performance based on students’ learning method. The most important
result of this study indicated that with controlling the effect of math anxiety, WMC had significantly more effect on
students’ mathematical problem solving who studied their lessons in e-learning method than other groups of learning
method.
Keywords: Mathematics anxiety, Working memory capacity, Cooperative learning, e-learning, Mathematical performance.
1. INTRODUCTION
The art of problem solving is the heart of
mathematics. Mathematical problem solving is a
complex cognitive activity involving a number of
processes and strategies. Patton et al. [1] propose that
learning to solve problems is a primary objective in
learning mathematics, as problems are an inevitable fact
of life. According to Effandi and Normah [2], a student
needs to think and make decisions using appropriate
strategies to solve mathematic problems. Many research
studies and projects have pointed out the importance of
learning problem solving in school mathematics courses
[4-6].
The National Council of Teachers of
Mathematics [5] recommendations to make problem
solving the focus of school mathematics posed
fundamental questions about the nature of school
mathematics. Mathematics instruction should be
designed so that students experience mathematics as
problem solving.
Teaching mathematical problem solving is a
challenge for many teachers. A teacher who believes that
information can be transmitted to students’ heads often
employs lecture methods in the teaching of mathematics.
These teachers usually stand up in front of the class,
writing formulas on the board, and providing several
examples for practicing the formula. Teachers then give
students many exercises for practice and expect students
to memorize the formula [7].Yet several studies have
described the detrimental effects of this approach for
students (e.g. [7, 8]). Because of a tendency for teachers
to expect students to memories a lot of facts that may not
necessarily make sense to them, and asking students to
listen and practice many exercises in preparation for a
test, many students come to the conclusion that
mathematics is either about right or wrong, it is
unrelated to real life, or it is only appropriate for smart
students [7, 9].
According the importance of math problem
solving the present study was carried out by the authors
to study mathematical problem solving in term of
predictive factor. In this study the effect of working
memory capacity and mathematics anxiety on
mathematical performance according to the learning
method will be discussed. It seems to be more beneficial
to describe the historical background of predictive
factors of mathematical performance, working memory
capacity and mathematics anxiety before introducing
research framework.
a. Working memory Capacity
Alan Baddeley defines working memory (WM)
as “a brain system that provides temporary storage and
manipulation of the information necessary for such
complex cognitive tasks as language comprehension,
learning, and reasoning” [10]. Working memory refers
to a complex cognitive system that is responsible for the
storage and processing of information in the short term.
Also working memory known as a mental workspace,