SME 6044 CONTEMPORARY ISSUES IN MATHEMATICS EDUCATION SESSION 2011/2012 SEMESTER II ISSUE: MATHEMATICS ANXIETY PROF DR MARZITA BINTI PUTEH GROUP 1 CHUNG WAI CHEONG M20102001089 TAW MEI YOKE M20111000335 TEH GUAN LEONG M20112001445 WONG WAI LUN M20112001446 WONG WANG YUEN M20111000734
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
SME 6044
CONTEMPORARY ISSUES IN MATHEMATICS EDUCATION
SESSION 2011/2012 SEMESTER II
ISSUE: MATHEMATICS ANXIETY
PROF DR MARZITA BINTI PUTEH
GROUP 1
CHUNG WAI CHEONG M20102001089 TAW MEI YOKE M20111000335
TEH GUAN LEONG M20112001445 WONG WAI LUN M20112001446
WONG WANG YUEN M20111000734
CONTEMPORARY ISSUES IN MATHEMATICS EDUCATION MATHEMATICS ANXIETY
1
DEFINITION OF MATHEMATICS ANXIETY
Webster’s New Word Dictionary explains anxiety as worry or uneasiness about what
may happen. Freud (1924) defined anxiety as “something felt,” a specific unpleasant
emotional state or condition that included feeling of apprehension, tension, worry and
physiological arousal, and equated with fear with objective anxiety, which he considered to
be an emotional in its intensity to a real danger in the external world.
Tobias & Weissbrod (1980) defined mathematics anxiety as “the panic, helplessness,
paralysis and mental disorganization that arises among some people when they are required
to solve a mathematical problem. Meanwhile, Ashcraft & Faust (1994) also defined
mathematics anxiety as feelings of tension, apprehension, or even dread that interferes with
the ordinary manipulation of number and the solving of mathematical problems. Like stage
fright, mathematics anxiety can be disabling condition, causing humiliation, resentment, and
even panic. Mathematics anxiety can cause one to forget and lose one’s self confidence
(Tobias, S., 1993).
UNDERSTANDING MATH ANXIETY
There appear to be three major domains which are involved with the development of
mathematics anxiety. There is naturally some overlap between and among them and their
boundaries are not well defined. In order to facilitate the development of this model of
mathematics anxiety, the domains will be treated as though they are distinct and well defined.
Associated with each domain is a continuum on which it is assumed that any student
at any particular time may be found. The extremes of the continua are given and discussed
below. The colour codes associate each continuum with its appropriate domain.
CONTEMPORARY ISSUES IN MATHEMATICS EDUCATION MATHEMATICS ANXIETY
2
The Social / Motivational Domain include those forces that act upon a person through
the agencies of family, friends, and society as a whole. The continuum associated with this
domain is Behaviour because although choices are influenced by others, they are ultimately
made by the individual. The Behaviour Continuum has Pursuit and Avoidance as its
opposites. These behaviours are logical consequences of the value place on mathematics,
which is influenced by the attitudes of significant others and by society in general.
The Intellectual / Educational Domain are comprised of those influences that are
cognitive in nature. Specifically, they include but are not limited to, the knowledge and skills
an individual has and or is expected to acquire and his or her perception of success or failure
in them. Although others may “grade” an individual’s performance in this domain, people
form their own evaluations of their performance in this area. The continuum associated with
this domain is Achievement, where individual perception is paramount. Success and Failure
are the extremes of the Achievement Continuum, and are the subjective evaluations regarding
one’s acquisition or use of mathematics skill and concepts.
The Psychological / Emotional Domain are formed by the faculties that are affective
in nature. It is largely comprised of the individual’s emotional history, reactions to stimuli
and arousal states. Hence, the continuum associated with this domain is Feelings. At either
end of the Feelings Continuum lie Anxiety and Confidence, although it could be argued that
enjoyment in even further removed from anxiety that confidence. The assumption is that most
students would find it puzzling to think of mathematics as enjoyable. Confidence can be
equated with comfortableness, rather than pleasure.
CONTEMPORARY ISSUES IN MATHEMATICS EDUCATION MATHEMATICS ANXIETY
3
Research indicates that the more confidence a person has in mathematics, the more
likely he or she is to be successful in such tasks (Betz, 1977, p22) and the more confidence
the individual has toward learning and using mathematics, the more likely he or she is to
pursue its study.
Anxiety reactions to mathematical situations may contribute to failure in mathematics
(Tobias & Weissbrod, 1980, p63). In fact, a person who has high mathematics anxiety may
actually be unable to perform well on test, and may be unable to learn in a mathematics
classroom. Mathematics anxiety also directly contributes to avoiding mathematics (Tobias &
Weissbrod, 1980, p63).
THE MATH ANXIETY PROCESS
Unpleasant encounters with math in formative years can be ruinous to subsequent
learning. Students who were made to feel bad about math become wary and prejudiced
against it. They mistrust their own abilities. New experiences in math, seen in light of the old,
are tarnished by their troubled past, which only accentuates and reinforces long-entrenched
negativity.
CONTEMPORARY ISSUES IN MATHEMATICS EDUCATION MATHEMATICS ANXIETY
4
Bad feelings persist. This impairs prospects for learning new material and generates
anxiety and self-doubt. They say negative things to themselves, such as “I’m stupid”, “I’ll
never be able to do math”, “I’ll fail” and “Why do I need to know math anyway?” Soon a
continuous flood of negative talk about math ensues; before long, anxiety, overwhelming
fears of failing or looking stupid and panic set in.
Physically, these people may experience nausea, perspire profusely, develop a
headache or tight muscles, or exhibit a number of other physical symptoms. Mentally, they
become confused or disorganized, make lots of careless errors, and forget formulas they
knew, can’t think clearly, or blank out entirely.
The end result: poor math performance, avoidance of math, “choking under pressure”,
and failure. All these negative results lead back to more negative thinking, and the cycle
continues.
CONTEMPORARY ISSUES IN MATHEMATICS EDUCATION MATHEMATICS ANXIETY
5
MYTHS AND MISCONCEPTION
1. Aptitude for mathematics is inborn.
2. To be good at mathematics you have to be good at calculating.
3. Maths requires logic, not creativity.
4. In mathematics, what’s important is getting the right answer.
5. Men are naturally better than women at mathematical thinking.
WHAT CAUSES MATHEMATICS ANXIETY
From the research conducted by (Marzita Puteh, 1998), there are several causes of
mathematics anxiety. The major cause of mathematics anxiety was related to teacher
personality and their style of teaching. Besides that, public examination and their effects also
lead to mathematics anxiety. Other than that, it is also related to affective domain or the self
factor such as student’s personality and his perception to mathematics. Feelings and worries
also lead to mathematics anxiety since students will have difficulties with their memory and
innate disability.
Moreover, students were also burden by parent’s expectation and standards where
they must excel in mathematics if they want to success. Furthermore, it was found that peer
group influences and the relevance of studying mathematics also caused mathematics anxiety.
TEACHER PERSONALITY AND THEIR STYLE OF TEACHING
Math anxiety is caused by the negative predispositions of mathematics teacher.
Teachers and parents that are afraid of mathematics pass that on to their students and children
CONTEMPORARY ISSUES IN MATHEMATICS EDUCATION MATHEMATICS ANXIETY
6
(Furner & Duffy, 2002). Teachers with mathematics anxiety transmit their anxiety to their
students (Kelly and Tomhave, 1985; Bulman and Young, 1982 and Lazarus, 1974).
If the teacher does not value mathematics, his students certainly cannot be expected
to value mathematics either. There are many things the mathematics teacher can do that will
provoke his students to dislike mathematics. The teacher may be perceived as not caring
about students because he is unwilling to give extra help to students who need it. The
students need to know that their teacher is able and willing to help them.
Most students fear of asking for help and they feel shy because they do not know how
to solve the mathematics problems. Besides that, the fear of being blamed by their teachers
seemed to be a recurring theme in the students’ response. This situation created a barrier
between the teacher and the student relationship.
According to (Jackson & Leffingwell, 1999), the teacher needs to be aware of his
words, sighs, and overall body language. This is because the teacher may become angry or
frustrated and use non-proper words when his class does not understand the problems.
Moreover, covering the textbook problem by problem can turn students off from
learning mathematics. Also, giving written work every day, insisting there is only one correct
way to complete a problem, and assigning mathematics problems as punishment for
misbehaviour can cause students to dislike mathematics (Furner & Duffy, 2002).
No one enjoys discipline. Making students do mathematics as a form of discipline
could very likely cause students to dislike mathematics.
PUBLIC EXAMINATIONS AND THEIR EFFECT
In Malaysia, the Education System is highly examination-oriented. Many students
perceive that getting good grades will indicate their achievements. There is a perception that
CONTEMPORARY ISSUES IN MATHEMATICS EDUCATION MATHEMATICS ANXIETY
7
getting an A for mathematics in public examination reflect that the person has better IQ.
Good achievement in Mathematics has also been the basic requirement for the student to
further their studies. In this way, students felt threatened by mathematics examination.
Morris (1981) stated that mathematics tends to lend itself to being taught with
procedures that unnecessarily build tension and pressure in some students. She further argue
that for example, in a timed test, many especially the anxious, tend to freeze up under time
pressure.
A study by Betz (1978) revealed that the level of mathematics anxiety reported was
related to scores on a standardized mathematics achievement test. In other words people with
high achievement scores tended to report low mathematics anxiety and vice versa. The
trainees here seemed to confirm that high anxiety about mathematics was predictably liked
with poor results in public examinations.
AFFECTIVE DOMAIN - THE SELF FACTOR, SUCH AS PERSONALITY,
PERCEPTION
From the affective perspective, Bush (1991) commented that mathematics anxiety
arises from a climate in which negative attitudes and anxiety are transmitted from adults to
children. McMillan (1976) found that teachers’ attitude and enthusiasm toward a subject had
greater impact on student attitudes than instructional variables.
Lazarus (1974) and Wilhelm and Brooks (1980) added that negative parental attitudes
may be transmitted to their children and that parents often reinforce their children’s
mathematics anxiety. It could be very difficult for students to like mathematics when their
parents did not do well in mathematics themselves, and thus do not understand it or do not
think it is important.
CONTEMPORARY ISSUES IN MATHEMATICS EDUCATION MATHEMATICS ANXIETY
8
Students could see their parents as having a job and doing well without a great love
for mathematics and think that they will be successful without an appreciation of
mathematics as well.
Students with low achievement in mathematics usually those with low self esteem
and slow learner, easily giving-up, dislike of being challenged, low confidence and self