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Journal of Education and Learning (EduLearn)
Vol. 14, No. 3, August 2020, pp. 338~344
ISSN: 2089-9823 DOI: 10.11591/edulearn.v14i3.15886  338
Journal homepage: http://journal.uad.ac.id/index.php/EduLearn
The effect of mathematics anxiety on the achievement of middle
school students in Amman
Bahjat Altakhayneh
Department of Education Studies, Arab Open University, Jordan
Article Info ABSTRACT
Article history:
Received Feb 19, 2020
Revised May 26, 2020
Accepted Jul 27, 2020
This study aims to investigate whether student anxiety about the subject of
mathematics has any effect on the achievement of middle-school students in
Amman, Jordan. It also aims to investigate whether student gender plays a role.
The study sample consists of 180 seventh grade students enrolled in Amman
public schools during the 2018/2019 academic year. These are distributed into
three levels of anxiety as displayed by the students: low, middle, and high.
Then, math anxiety measurements are collected, the validity and reliability for
which are verified. The results reveal that there are statistically-significant
differences in achievement between the middle level of math anxiety and the
two other extremes. It is found that middle anxiety level have a positive effect
on achievement, whereas for low and high math anxiety levels, no differences
in achievement are perceived. In addition, no statistically significant
differences (α≤0.01) were found between males and females with regards to
math anxiety; and there is no interaction between the level of math anxiety and
gender in achievement.
Keywords:
Achievment
Anxiety
Mathematics
Middle
Students
This is an open access article under the CC BY-SA license.
Corresponding Author:
Bahjat Altakhayneh
Department of Education Studies,
Arab Open University,
P.O.Box 1339, Amman 11953, Jordan.
Email: b_takahyneh@aou.edu.jo
1. INTRODUCTION
Mathematics education in Jordan faces many challenges represented by the ability of teachers to create
a comfortable learning environment, engage students with activities, and provide interesting math experiences
for students. Many studies emphasize the importance of motivation to teach math carefully [1]. Yet, inevitably,
there are levels of anxiety felt by students in learning a given subject, and this may be especially true with
regards to the subject of mathematics.
Of course, this is a broad subject, but this researcher proposes to explore it by focusing on pre-
secondary school students, and specifically those in seventh grade. This study will look at this issue by first
reviewing what is already documented about math learning, and the anxiety that is associated with it. Having
established the research background on these issues, the study questions will then be proposed, explained, and
tested; and the study conclusions will be discussed.
One of the prerequisites for creativity in learning math is to develop students' motivation to learn.
Costa [2] emphasizes the need for perseverance, diligence, and maintaining a high level of motivation to learn.
A study by Korkmaz, Dundar, and Yaman [3] emphasizes the importance of providing ‘productive’ mental
habits for teachers and students, so as to provide classroom environments free from fear and stress.
The National Council of Teachers of Math [4] considers the Principle of Teaching as one of the most
important principles and standards of teaching and learning math. This principle emphasizes the need to provide
J. Edu. & Learn. ISSN: 2089-9823 
The effect of Mathematics anxiety on the achievement of middle school students in … (Bahjat Altakhayneh)
339
appropriate educational measures aimed at raising the achievement levels of math students. Specifically, this
may be seen in their ability to solve mathematical problems, to master their mathematical skills to better
overcome life problems, and to increase the general 21st
century skills of critical thinking, communication,
cooperation, and creativity.
However, there is evidence that these measures must be thoroughly addressed, now more than ever.
The results of a 2015 international study pointed to a clear decline in the achievement levels of Jordan's students
in math, as compared to those of students worldwide. The international study indicated that the average scores
of Jordanian students in tests were lower than the general average by a difference of 114 points. This decline
in math achievement resulted in eighth-grade Jordanian students being ranked 36 out of 39 countries [5].
A problem facing math learners, locally and regionally, may be the reliance on traditional instructional
teaching strategies, and the lack of focus on the specific learner’s activity and direct experience [6]. A teacher
may often solve problems in class without the active participation of the learners. Consequently, one of the
important factors affecting a student’s level of mathematical anxiety is self-confidence, which has an active
role in learning math. Anxiety reduces learning opportunities, thinking capacity, as well as attempts to solve
mathematical problems.
Mathematical anxiety is defined by Agail [7] as the general tension and fear of situations where
dealing with math and numbers is required. Wilson further defines it as a state of panic, fear, trembling, and
mental distraction that appears to students when they are exposed to mathematical problems, negatively
affecting their learning and academic achievement. Math anxiety usually starts at the basic stage, with the
accumulation of bad experiences during the early school years. This negatively affects the learner's confidence
in his or her ability to deal with mathematical problems [7]; and this naturally leads to avoidance of dealing
with math in the future.
Deniz and Uldas [8] point out that math anxiety is due to three main factors, which are the
environmental, mental, and personal issues of the learner. Shields [9] further states that math anxiety can be
the result of many factors that may either be perceived individually, or in combination with each other. These
factors are the impacts felt by the society, the family, the teacher, the teaching and evaluation method, as well
as the school and classroom environment.
Vitasri et al. [10] conducted a study aimed at identifying the factors affecting math anxiety in a sample
of Malaysian students at the Faculty of Engineering. The results of the study showed that this phenomenon is
due to five factors: the perception that math is difficult, the repetition in courses, the large amount of writing
in classes, general difficulty in understanding the subject, and the unwillingness to solve mathematical
problems. Vitasri et al. noted anxiety among females more so than males. They explain that there is a
relationship between math anxiety and achievement, and that students with math anxiety tend to avoid using
mathematical and problem-solving skills. There have been many other studies which show that there is a
negative relationship between math anxiety and achievement, such as those by Hembree [11], and Yaaqoub
[12],with varying strength.
Some studies were conducted to determine the effect of math anxiety on the prediction of students'
success in the subject. Ashcraft and Kirk [13] showed that students with high math anxiety levels had
difficulties in solving problems, and that they were slower to perform various mathematical operations, and
thus performed less efficiently in math. A study by Riika et al. [14] emphasizes the need to identify math
anxiety levels in students at an early stage. The study was conducted on fifth grade students in Finland, where
the results showed an inverse relationship between the level of anxiety and academic achievement. In addition,
the study showed that there are two types of mathematical anxiety: anxiety related to mathematical attitudes,
and anxiety related to the study of math in general.
Elizabeth et al. [15] also conducted a study on the inverse relationship between math anxiety and
achievement in primary school students, and specifically those in first and second grade. The results of study
showed a positive relationship between motivation and achievement― i.e., the higher the motivation, the
higher the achievement. The results also showed that the level of achievement in the first grade may have a
significant effect on achievement in later stages.
There has been some documentation into using various educational strategies to reduce anxiety. One
such study by Mina and Mehdi [16] investigated the impact of standard cognitive behavioral therapy in
reducing anxiety in math, as well as promoting self-assertion, among a sample of tenth grade students in Iran.
The experimental method was used in the study, wherein the results confirmed the effectiveness of cognitive
behavioral therapy in reducing anxiety and increasing self-affirmation, especially in female students.
Of course, it may be prudent to understand how other players’ behaviors or actions may have an
impact on a student’s anxiety. Akanksha and Santha [17] conducted a study in India to investigate the
relationship between the parents' anxiety with regards to math and their children's math anxiety. They found
that there is a positive correlation between the parents' anxiety about math and that of their children.
 ISSN: 2089-9823
J. Edu. & Learn. Vol. 14, No. 3, August 2020 : 338 – 344
340
In the scope of university students, Hodges et al. [18] conducted a study on the role of teachers in
increasing the activity of the learner, providing classroom environments to encourage learning, and managing
student anxiety appropriately. The study was conducted on Master’s students enrolled in math-intensive
programs, and investigated the role of using a therapeutic strategy in an acute attempt to reduce their math
anxiety. The results of the study showed the effectiveness of the described strategy in reducing anxiety, and in
increasing the self-efficacy of mathematical comprehension. It also showed that female math anxiety was
higher than that of males. Similarly, Ciftci [19] conducted a study exploring the impact of teachers' methods
to control math anxiety in a sample of university students in Turkey; and the mediating factors that may play
an important role in reducing mathematical anxiety, such as gender, previous achievement level, and school
year level. The results confirmed that there is a perceived impact related to a teacher’s anxiety reduction
method. The results also showed that there is a gender factor to the teacher's method, as results were noted
more greatly in males― particularly in low-achievement groups.
Trends International Math and Science Study (TIMMS), in 2015, showed a clear decline in the
performance results of students in the fourth and eighth grades, and Jordanian students scored poorly at the
bottom of the list [5]. Furthermore, Jordanian student results in the high school exit test did not exceed 50% in
the scientific stream in 2018; and the failure rate in the math course was high.
Almasry & Abulebdeh [02] conducted a study for the National Center for Human Resources
Development (NCHRD) about the problems and difficulties faced by learners in Jordan. It was noted
that there is a clear weakness in students' possession of basic skills, and their abilities for inductive and
deductive thinking.
Morsi [02] suggests that math anxiety in students during exams may contribute to their poor
achievement, and to their inability to think. Alanzi's study [00] confirms that there is a negative correlation
between a student’s academic average and the level of math anxiety― i.e., students with high scores in math
had less anxiety than their peers with low scores. Also, the results of the study showed that there are differences
between relative levels of anxiety, and identified those as low, middle, and high anxiety levels.
Educational literature suggests that many factors may affect learning outcomes: emotional, mental,
and physical [02]. Anxiety is considered an emotional factor, and is one of the more prominently observed
elements in the current era, which is why some see it as “the age of anxiety”. It is, therefore, necessary to know
anxiety levels in a sample of students, and to study their relationship to academic achievement.
Hart [02] points to other factors related to students' anxiety about math, testing procedures, and
concern about math classes. These include the concerns of math teachers themselves about the subject, as well
as concerns about the inability of students to understand math topics. Akanksha and Santha [17] points out that
another the factor associated with math anxiety, as felt by students, may be the concern of parents about math
and their lack of confidence that their children are able to understand math and solve problems.
One of the most important requirements of learning is to provide a comfortable, attractive, and
exciting classroom environment that provides a positive approach and a high motivation for learning. In this
present study, the researcher seeks to explore the effect the level of math anxiety has on student achievement
in math by pre-secondary stage students in Amman schools. The focus will be on middle-school students,
specifically those in seventh grade.
Study questions: (1) What effect does the level of math anxiety have on the achievement of
middle-school students in mathematics?, (2) Is there a statistically significant interaction between the level of
anxiety (low, middle, high) and gender (male, female) on academic achievement in math among
middle-school students?. Mathematics Anxiety: stress, general fear, and shivering in situations where math and
numbers are required. This is measured by the scores obtained by the study sample on the math anxiety scale,
as used in the present study. Achievement in Mathematics: Achievement refers to the set of skills, knowledge,
and experience gained by the learner at the end of the academic year. In this study, it is measured practically
by a seventh grade student’s average at the end of the academic year, 2018/2019, in math.
This study aims to identify the level of math anxiety among middle school students in Amman, study
the effect of such anxiety on their achievement, and to investigate if gender factors into the matters of math
anxiety levels and achievement. That would provide insight with which to solve student problems with the
subject of math, and may increase their achievement by reducing anxiety and addressing the learning
difficulties students face in that subject. This study is bolstered by US National Council standards, which
emphasize the need for stress- and anxiety-free classroom environments [4]. In short, the importance of this
study lies with the need to understand the relationship between anxiety and achievement in math, so as to better
manipulate it and activate the role of the learner and his active participation in learning. The study sample is
limited to seventh-grade students in Amman, Jordan, for the academic year 2018/2019. The validity and
reliability of the academic achievement is represented in the academic average of math for seventh
grade students.
J. Edu. & Learn. ISSN: 2089-9823 
The effect of Mathematics anxiety on the achievement of middle school students in … (Bahjat Altakhayneh)
341
2. RESEARCH METHOD
The subjects of the study consisted of of (180) seventh-grade students in Amman schools, enrolled in
the 2018/2019 academic year, in the public education sector. The students were classified into three levels of
anxiety (low, middle, and high), as shown in Table 1.
Table 1. Distribution of the study sample according to the level of anxiety and gender
Grand Total
Females
Males
180
Total
High
Middle
Low
Total
High
Middle
Low
90
30
35
25
90
29
30
31
And to achieve the goals of the study, the researcher developed the Mathematics Anxiety scale, and
used in this study. The aim of this tool is to measure the level of math anxiety in a sample of seventh grade
students, using test paragraphs prepared in light of viewing measures in math anxiety [7, 8]. This was developed
in conjunction with a review of the theoretical literature and components on anxiety, procedural definitions,
measurement items, and the 18-item scale. The scale is divided into five (5) levels of measurement: strongly
agree, agree, neutral, disagree, strongly disagree.
The level of anxiety is determined based on the score the student receives, where the student is
considered to have low anxiety if his score on the test is (0-30), middle anxiety if his mark is (31-60), high
anxiety if his mark is (61-90). To verify the face validity, the scale was presented to a group of arbitrators in
the fields of psychology, methods of teaching math, and psychological counseling. Consequently, some
paragraphs were amended in light of observations. Also, to verify the test reliability, the scale was applied to
a survey sample of seventh-grade students, two weeks prior, and the reliability factor was (0.82).
The sample of the study is represented by seventh grade students in the schools of Amman, with a
total of 180 students enrolled during the 2018/2019 academic year. The math anxiety scale was prepared and
presented to the arbitrators, then applied to a prospective sample to determine its application time. The
coefficient of reliability and validity were verified, and the sampled students were classified into three levels
(low, middle, and high). The selected schools were honored at the end of the second semester, at which time
the students' math marks for both semesters were obtained. The results of the study were analyzed, using
statistical packages of SPSS programs. Suggestions and recommendations were made.
The descriptive and experimental method was used, where anxiety levels were identified in a sample
of seventh-grade math students. The purpose was to study the effect of anxiety on academic achievement, as
well as the factor of the student's gender and how that interacts with the level of anxiety. Data analyzed using
arithmetic averages, standard deviations, multiple variance analysis (MANOVA).
3. RESULTS AND DISCUSSION
This study aims to investigate the effect of the math anxiety level on student mathematical
achievement in middle-school, and specifically the seventh grade. To answer the first posed question: what
effect does the level of math anxiety have on the achievement of middle-school students in math?
The arithmetic means and standard deviation were calculated. Table 2 shows the resultant statistics.
Table 2. The arithmetic means, number, and levels of math anxiety
Gender Male Female
Levels of math anxiety Low Middle High Low Middle High
Number 25 35 30 31 30 29
Arithmetic means of achievement 54.96 71.65 55.00 53.67 74.16 55.79
The two-way ANOVA was used to show the differences between achievements in investigating the
effect had on them by the levels of math anxiety. The Table 3 below shows those differences.
Table 3. Two-way ANOVA for differences of achievements in the three levels of math anxiety
Source Type III Sum of Squares df Mean Square F Sig.
Corrected Model 13597.11a
5 2719.42 20.52 0.000
Intercept 660518.08 1 660518.08 4984.27 0.000
Gender 20.20 1 20.20 0.15 0.697
Levels 13464.75 2 6732.37 50.80 0.000
Gender * Levels 107.19 2 53.59 0.404 0.668
Error 23058.54 174 132.52
Total 713653.00 180
Corrected Total 36655.66 179
R Squared = .371 (Adjusted R Squared = .353)
 ISSN: 2089-9823
J. Edu. & Learn. Vol. 14, No. 3, August 2020 : 338 – 344
342
In the above table, we notice that there were statistically-significant differences (α≤0.01) between the
levels of math anxiety (low, middle, and high) in achievement, where the significant value reached (0.00)
confirming that math anxiety level affects achievement. Consequently, to know the differences between these
levels, we used the Scheffe Test, as seen in Table 4.
Table 4. The scheffe test for significance of anxiety level differences
(I) levels (J) levels Mean Difference (I-J) Std. Error Sig.
95% Confidence Interval
Lower Bound Upper Bound
low
middle -18.56*
2.10 0.00 -23.74 -13.38
high -1.138 2.148 0.86 -6.44 4.16
middle
low 18.56*
2.098 0.00 13.38 23.74
high 17.42*
2.07 0.00 12.31 22.53
high
low 1.139 2.14 0.86 -4.16 6.44
middle -17.42*
2.07 0.00 -22.53 -12.31
Based on observed means. The error term is Mean Square (Error) = 132.520.
* The mean difference is significant at the 0.05 level.
In the above table, this researcher noticed that there were no differences between low and high math
anxiety in achievement. Moreover, when math anxiety is in the middle, it precipitates high achievement. Thus,
it can be said that middle anxiety stands out as different to both low and high anxiety in achievement
To answer the second question: Is there a statistically significant interaction between the level of
anxiety (low, middle, high) and gender (male, female) on academic achievement in math among middle-school
students?
MANOVA analysis was used to explore the interaction between the levels of math anxiety and gender.
As seen in Table 3, there is no interaction between the levels of math anxiety and gender in achievement, where
the significance reached 0.668. Consider the following Figure 1.
Figure 1. The interaction between the levels of math anxiety and gender in math achievement
4. DISCUSSION
Deniz and Uldas [8] point out that anxiety in math may be attributed in large part to the student’s
environment. Similarly, parental discomfort to math may transfer in the form of anxiety to their children, on
an inverse relationship between achievement in math and the level of anxiety [17, 11, 12, 2].
This study concurs with Elizabeth [15] on the inverse relationship between math anxiety and
achievement. This study also suggests that to relieve math anxiety, strategies should be implemented to increase
students’ comfort levels towards the subject. The results of this study indicate that motivation is a significant
variable to them, in order to raise their level of achievement.
National council of Teachers of mathematics (NCTM) confirms the importance of providing math
programs that decreases the math anxiety, and provide classroom environment that help the students to achieve
learning outcomes [25].
The researcher recommends the continual search for factors that lead to instability in math, so as
mitigate them, but not erase them completely. One must understand that the availability of an average level of
J. Edu. & Learn. ISSN: 2089-9823 
The effect of Mathematics anxiety on the achievement of middle school students in … (Bahjat Altakhayneh)
343
anxiety may be optimal to high achievement, which, in turn, may reduce high anxiety when studying math and
during tests. A controlled level of anxiety creates a positive learning environment, and provides an appropriate
atmosphere to raising the efficiency of students in math, and increasing their self-confidence.
5. CONCLUSION
The results of this study show that for a student, both low and high anxiety levels may lead to low
achievement. Conversely, moderate anxiety levels are shown to be optimal for academic achievement in math.
This indicates that students must actually have some level of anxiety in order for their achievement to be high,
but that it must be controlled. This control may be difficult to achieve for a variety of reasons, such as a general
fear of math, a disinterest in studying it, or a lack of confidence in completing mathematical tasks. This is
especially true for those who exhibit high anxiety levels towards math.
Students with low anxiety levels are typically indifferent to the study of math. They may believe that
it is not useful to them, or they may not have any interest in studying it or any math-related courses in the
future. This lack of interest due to a perceived low importance of math to their lives generates difficulties in its
study, thus, their achievement in it.
As for the interaction between the level of anxiety and student gender, the results show that both male
and female students with either high or low anxiety had generally low achievement scores, while moderate
concern levels for both genders lead to higher achievement. The factors of anxiety level and gender are,
therefore, independent of each other. This may disagree with some of the reviewed literature on
this subject.
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[2] Costa, A, Aesthetics: Where thinking begins. In A. Costa (Ed.), the school as a home for the mind (Ch. 2). Thousand
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[3] Korkmaz, S, Dundar, S, and Yaman, H, "The Mathematical habits of mind in problem solving," Turkish journal of
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[4] NCTM, Principles and Standards for School Mathematics. Via NCTM: Reston, 2000.
[5] IEA. (2016). International association for the evaluation of educational achievement. Boston College,
(timms.bc.edu). http://www.iea.nl/timss.
[6] Obaid, W, Teaching Mathematics to all children in light of the requirements of standards and culture of thinking.
Amman: Dar Almaseerah, 2004.
[7] Agail, O, "Level of Mathematics anxiety among a sample of special education students at King Khalid university,"
Educational Sciences Studies, vol. 02, no.3 pp. 60-86, 2015.
[8] Deniz, l and Uldas, I, "Validity and reliability study of the mathematics anxiety scale involving teacher’s prospective
teachers," Eurasian Journal of Educational Research, vol. 30, no.1, pp. 49-63, 2008.
[9] Shields, D, "Causes of Math Anxiety: the Student Perspective in four Year Institutions," Journal of Mathematical
Sciences and Mathematics Education, vol. 1, no. 2, pp. 19-23, 2006.
[10] Vitasri, P, Abdul wahab, M, Sinnadurai, and Suriya, "Representation of social anxiety among engineering students,"
Proscenia - Social and Behavioral Sciences, vol. 30, no. 1, pp. 620-624, 2011.
[11] Hembree, R, "The nature, effects, and relief of mathematics anxiety," Journal for Research in Mathematics
Education, vol. 21, no. 1, pp. 33-46, 1990.
[12] Yaaqoub, E, "Mathematics concern of pupils and its relationship to some personal, psychological and cognitive
variables," Journal of Educational Research Center, vol. 5, no. 9, pp. 179-206, 1996.
[13] Ashcraft, M and Kirk, E, "The relationship a mong working memory, math anxiety, and performance," Journal of
Exepermental Psychology, vol. 130, no. 2, pp. 224-237, 2001.
[14] Riika, S, Tuire, K, Helena, V, Tuija, A, Eija, R, Pilvi, P, Peura, D, and Mikko, A, "Math anxiety and its relationship
with basic arithmetic skills among primary school children," British Journal of Educational Psychology, vol. 87,
no. 3, pp. 309-327, 2017.
[15] Elizabeth, A, Daeun, P, Erin, A, Sian, L, and Susan, C, "Reciprocal relations among motivational frameworks, math
anxiety, and math achievement in early elementary school," Journal of Cognition and Development, vol. 19, no. 1,
pp. 21-46, 2018.
[16] Mina, B and Mehdi, A, "The effectiveness of modular cognitive behavioral therapy on mathematical anxiety and
assertiveness in students," Fundamentals of Mental Health, vol. 20, no. 6, pp. 417-428, 2018.
[17] Akanksha, S and Santha, K, "The Role of parental math anxiety and math attitude in their children’s math
achievement," International Journal of Science & Math Education, vol. 15, no. 2, pp. 331-347, 2017.
[18] Hodges, T.E, Roy, G. J, and Tyminski, A. M, Proceedings of the 40th annual meeting of the North American chapter
of the international group for the psychology of mathematics education. Greenville, SC: University of South Carolina
& Clemson University, 2018.
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344
[19] Ciftci, S. "The effect of math teacher candidates' locus of control on mathematics anxiety: Structural Equation
Modeling," European Journal of Education Studies, vol. 15, no. 1, pp. 148-160, 2019.
[20] Almasry, M and Abulebdeh, K, "Mistakes of jordanian students in mathematics and science in the third international
study (TIMMSS)," Studies of the National Center for Human Resources Development 80, Amman, 2008.
[21] Morsi, K, "Mathematics anxiety relation to secondary students stages," Dirasat Education College, vol. 4, pp. 159-
176, 1982.
[22] Alanzi. F, "Academic achievement and its relationship to pathological fears and exam anxiety among a sample of
secondary school students in the state of Kuwait," Journal of Gulf and Arabian Studies, vol. 111, no. 29, pp. 171-
221, 2003.
[23] Afoneh, T and Basharat, S, "The effect of using computerized games on anxiety, pleasure, motivation and self-
perception among sixth grade students in Tubas governorate when learning Mathematics," An-Najah University
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[24] Hart, L, The mathematics education of elementary teachers: Issues and Strategies for Content Courses, Charlotte,
NC. (E-book), 2016. [Online] Available: http://proxy.aou-elibrary.com/
[25] National of Council of Teachers of Mathematics (NCTM).principles and standards for school mathematics, Reston:
NCTM, 2000. [Online] Available: https://www.nctm.org/Standards-and-Positions/Principles-and-Standards/
BIOGRAPHY OF AUTHOR
Dr. Bahjat Altakhayneh, Associate profeesor of Curriculum and Mathematics Teaching Methods
Department of Educational Studies, Arab Open University, Jordan.
Email: B_takahyneh@aou.edu.jo

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The effect of mathematics anxiety on the achievement of middle school students in Amman

  • 1. Journal of Education and Learning (EduLearn) Vol. 14, No. 3, August 2020, pp. 338~344 ISSN: 2089-9823 DOI: 10.11591/edulearn.v14i3.15886  338 Journal homepage: http://journal.uad.ac.id/index.php/EduLearn The effect of mathematics anxiety on the achievement of middle school students in Amman Bahjat Altakhayneh Department of Education Studies, Arab Open University, Jordan Article Info ABSTRACT Article history: Received Feb 19, 2020 Revised May 26, 2020 Accepted Jul 27, 2020 This study aims to investigate whether student anxiety about the subject of mathematics has any effect on the achievement of middle-school students in Amman, Jordan. It also aims to investigate whether student gender plays a role. The study sample consists of 180 seventh grade students enrolled in Amman public schools during the 2018/2019 academic year. These are distributed into three levels of anxiety as displayed by the students: low, middle, and high. Then, math anxiety measurements are collected, the validity and reliability for which are verified. The results reveal that there are statistically-significant differences in achievement between the middle level of math anxiety and the two other extremes. It is found that middle anxiety level have a positive effect on achievement, whereas for low and high math anxiety levels, no differences in achievement are perceived. In addition, no statistically significant differences (α≤0.01) were found between males and females with regards to math anxiety; and there is no interaction between the level of math anxiety and gender in achievement. Keywords: Achievment Anxiety Mathematics Middle Students This is an open access article under the CC BY-SA license. Corresponding Author: Bahjat Altakhayneh Department of Education Studies, Arab Open University, P.O.Box 1339, Amman 11953, Jordan. Email: b_takahyneh@aou.edu.jo 1. INTRODUCTION Mathematics education in Jordan faces many challenges represented by the ability of teachers to create a comfortable learning environment, engage students with activities, and provide interesting math experiences for students. Many studies emphasize the importance of motivation to teach math carefully [1]. Yet, inevitably, there are levels of anxiety felt by students in learning a given subject, and this may be especially true with regards to the subject of mathematics. Of course, this is a broad subject, but this researcher proposes to explore it by focusing on pre- secondary school students, and specifically those in seventh grade. This study will look at this issue by first reviewing what is already documented about math learning, and the anxiety that is associated with it. Having established the research background on these issues, the study questions will then be proposed, explained, and tested; and the study conclusions will be discussed. One of the prerequisites for creativity in learning math is to develop students' motivation to learn. Costa [2] emphasizes the need for perseverance, diligence, and maintaining a high level of motivation to learn. A study by Korkmaz, Dundar, and Yaman [3] emphasizes the importance of providing ‘productive’ mental habits for teachers and students, so as to provide classroom environments free from fear and stress. The National Council of Teachers of Math [4] considers the Principle of Teaching as one of the most important principles and standards of teaching and learning math. This principle emphasizes the need to provide
  • 2. J. Edu. & Learn. ISSN: 2089-9823  The effect of Mathematics anxiety on the achievement of middle school students in … (Bahjat Altakhayneh) 339 appropriate educational measures aimed at raising the achievement levels of math students. Specifically, this may be seen in their ability to solve mathematical problems, to master their mathematical skills to better overcome life problems, and to increase the general 21st century skills of critical thinking, communication, cooperation, and creativity. However, there is evidence that these measures must be thoroughly addressed, now more than ever. The results of a 2015 international study pointed to a clear decline in the achievement levels of Jordan's students in math, as compared to those of students worldwide. The international study indicated that the average scores of Jordanian students in tests were lower than the general average by a difference of 114 points. This decline in math achievement resulted in eighth-grade Jordanian students being ranked 36 out of 39 countries [5]. A problem facing math learners, locally and regionally, may be the reliance on traditional instructional teaching strategies, and the lack of focus on the specific learner’s activity and direct experience [6]. A teacher may often solve problems in class without the active participation of the learners. Consequently, one of the important factors affecting a student’s level of mathematical anxiety is self-confidence, which has an active role in learning math. Anxiety reduces learning opportunities, thinking capacity, as well as attempts to solve mathematical problems. Mathematical anxiety is defined by Agail [7] as the general tension and fear of situations where dealing with math and numbers is required. Wilson further defines it as a state of panic, fear, trembling, and mental distraction that appears to students when they are exposed to mathematical problems, negatively affecting their learning and academic achievement. Math anxiety usually starts at the basic stage, with the accumulation of bad experiences during the early school years. This negatively affects the learner's confidence in his or her ability to deal with mathematical problems [7]; and this naturally leads to avoidance of dealing with math in the future. Deniz and Uldas [8] point out that math anxiety is due to three main factors, which are the environmental, mental, and personal issues of the learner. Shields [9] further states that math anxiety can be the result of many factors that may either be perceived individually, or in combination with each other. These factors are the impacts felt by the society, the family, the teacher, the teaching and evaluation method, as well as the school and classroom environment. Vitasri et al. [10] conducted a study aimed at identifying the factors affecting math anxiety in a sample of Malaysian students at the Faculty of Engineering. The results of the study showed that this phenomenon is due to five factors: the perception that math is difficult, the repetition in courses, the large amount of writing in classes, general difficulty in understanding the subject, and the unwillingness to solve mathematical problems. Vitasri et al. noted anxiety among females more so than males. They explain that there is a relationship between math anxiety and achievement, and that students with math anxiety tend to avoid using mathematical and problem-solving skills. There have been many other studies which show that there is a negative relationship between math anxiety and achievement, such as those by Hembree [11], and Yaaqoub [12],with varying strength. Some studies were conducted to determine the effect of math anxiety on the prediction of students' success in the subject. Ashcraft and Kirk [13] showed that students with high math anxiety levels had difficulties in solving problems, and that they were slower to perform various mathematical operations, and thus performed less efficiently in math. A study by Riika et al. [14] emphasizes the need to identify math anxiety levels in students at an early stage. The study was conducted on fifth grade students in Finland, where the results showed an inverse relationship between the level of anxiety and academic achievement. In addition, the study showed that there are two types of mathematical anxiety: anxiety related to mathematical attitudes, and anxiety related to the study of math in general. Elizabeth et al. [15] also conducted a study on the inverse relationship between math anxiety and achievement in primary school students, and specifically those in first and second grade. The results of study showed a positive relationship between motivation and achievement― i.e., the higher the motivation, the higher the achievement. The results also showed that the level of achievement in the first grade may have a significant effect on achievement in later stages. There has been some documentation into using various educational strategies to reduce anxiety. One such study by Mina and Mehdi [16] investigated the impact of standard cognitive behavioral therapy in reducing anxiety in math, as well as promoting self-assertion, among a sample of tenth grade students in Iran. The experimental method was used in the study, wherein the results confirmed the effectiveness of cognitive behavioral therapy in reducing anxiety and increasing self-affirmation, especially in female students. Of course, it may be prudent to understand how other players’ behaviors or actions may have an impact on a student’s anxiety. Akanksha and Santha [17] conducted a study in India to investigate the relationship between the parents' anxiety with regards to math and their children's math anxiety. They found that there is a positive correlation between the parents' anxiety about math and that of their children.
  • 3.  ISSN: 2089-9823 J. Edu. & Learn. Vol. 14, No. 3, August 2020 : 338 – 344 340 In the scope of university students, Hodges et al. [18] conducted a study on the role of teachers in increasing the activity of the learner, providing classroom environments to encourage learning, and managing student anxiety appropriately. The study was conducted on Master’s students enrolled in math-intensive programs, and investigated the role of using a therapeutic strategy in an acute attempt to reduce their math anxiety. The results of the study showed the effectiveness of the described strategy in reducing anxiety, and in increasing the self-efficacy of mathematical comprehension. It also showed that female math anxiety was higher than that of males. Similarly, Ciftci [19] conducted a study exploring the impact of teachers' methods to control math anxiety in a sample of university students in Turkey; and the mediating factors that may play an important role in reducing mathematical anxiety, such as gender, previous achievement level, and school year level. The results confirmed that there is a perceived impact related to a teacher’s anxiety reduction method. The results also showed that there is a gender factor to the teacher's method, as results were noted more greatly in males― particularly in low-achievement groups. Trends International Math and Science Study (TIMMS), in 2015, showed a clear decline in the performance results of students in the fourth and eighth grades, and Jordanian students scored poorly at the bottom of the list [5]. Furthermore, Jordanian student results in the high school exit test did not exceed 50% in the scientific stream in 2018; and the failure rate in the math course was high. Almasry & Abulebdeh [02] conducted a study for the National Center for Human Resources Development (NCHRD) about the problems and difficulties faced by learners in Jordan. It was noted that there is a clear weakness in students' possession of basic skills, and their abilities for inductive and deductive thinking. Morsi [02] suggests that math anxiety in students during exams may contribute to their poor achievement, and to their inability to think. Alanzi's study [00] confirms that there is a negative correlation between a student’s academic average and the level of math anxiety― i.e., students with high scores in math had less anxiety than their peers with low scores. Also, the results of the study showed that there are differences between relative levels of anxiety, and identified those as low, middle, and high anxiety levels. Educational literature suggests that many factors may affect learning outcomes: emotional, mental, and physical [02]. Anxiety is considered an emotional factor, and is one of the more prominently observed elements in the current era, which is why some see it as “the age of anxiety”. It is, therefore, necessary to know anxiety levels in a sample of students, and to study their relationship to academic achievement. Hart [02] points to other factors related to students' anxiety about math, testing procedures, and concern about math classes. These include the concerns of math teachers themselves about the subject, as well as concerns about the inability of students to understand math topics. Akanksha and Santha [17] points out that another the factor associated with math anxiety, as felt by students, may be the concern of parents about math and their lack of confidence that their children are able to understand math and solve problems. One of the most important requirements of learning is to provide a comfortable, attractive, and exciting classroom environment that provides a positive approach and a high motivation for learning. In this present study, the researcher seeks to explore the effect the level of math anxiety has on student achievement in math by pre-secondary stage students in Amman schools. The focus will be on middle-school students, specifically those in seventh grade. Study questions: (1) What effect does the level of math anxiety have on the achievement of middle-school students in mathematics?, (2) Is there a statistically significant interaction between the level of anxiety (low, middle, high) and gender (male, female) on academic achievement in math among middle-school students?. Mathematics Anxiety: stress, general fear, and shivering in situations where math and numbers are required. This is measured by the scores obtained by the study sample on the math anxiety scale, as used in the present study. Achievement in Mathematics: Achievement refers to the set of skills, knowledge, and experience gained by the learner at the end of the academic year. In this study, it is measured practically by a seventh grade student’s average at the end of the academic year, 2018/2019, in math. This study aims to identify the level of math anxiety among middle school students in Amman, study the effect of such anxiety on their achievement, and to investigate if gender factors into the matters of math anxiety levels and achievement. That would provide insight with which to solve student problems with the subject of math, and may increase their achievement by reducing anxiety and addressing the learning difficulties students face in that subject. This study is bolstered by US National Council standards, which emphasize the need for stress- and anxiety-free classroom environments [4]. In short, the importance of this study lies with the need to understand the relationship between anxiety and achievement in math, so as to better manipulate it and activate the role of the learner and his active participation in learning. The study sample is limited to seventh-grade students in Amman, Jordan, for the academic year 2018/2019. The validity and reliability of the academic achievement is represented in the academic average of math for seventh grade students.
  • 4. J. Edu. & Learn. ISSN: 2089-9823  The effect of Mathematics anxiety on the achievement of middle school students in … (Bahjat Altakhayneh) 341 2. RESEARCH METHOD The subjects of the study consisted of of (180) seventh-grade students in Amman schools, enrolled in the 2018/2019 academic year, in the public education sector. The students were classified into three levels of anxiety (low, middle, and high), as shown in Table 1. Table 1. Distribution of the study sample according to the level of anxiety and gender Grand Total Females Males 180 Total High Middle Low Total High Middle Low 90 30 35 25 90 29 30 31 And to achieve the goals of the study, the researcher developed the Mathematics Anxiety scale, and used in this study. The aim of this tool is to measure the level of math anxiety in a sample of seventh grade students, using test paragraphs prepared in light of viewing measures in math anxiety [7, 8]. This was developed in conjunction with a review of the theoretical literature and components on anxiety, procedural definitions, measurement items, and the 18-item scale. The scale is divided into five (5) levels of measurement: strongly agree, agree, neutral, disagree, strongly disagree. The level of anxiety is determined based on the score the student receives, where the student is considered to have low anxiety if his score on the test is (0-30), middle anxiety if his mark is (31-60), high anxiety if his mark is (61-90). To verify the face validity, the scale was presented to a group of arbitrators in the fields of psychology, methods of teaching math, and psychological counseling. Consequently, some paragraphs were amended in light of observations. Also, to verify the test reliability, the scale was applied to a survey sample of seventh-grade students, two weeks prior, and the reliability factor was (0.82). The sample of the study is represented by seventh grade students in the schools of Amman, with a total of 180 students enrolled during the 2018/2019 academic year. The math anxiety scale was prepared and presented to the arbitrators, then applied to a prospective sample to determine its application time. The coefficient of reliability and validity were verified, and the sampled students were classified into three levels (low, middle, and high). The selected schools were honored at the end of the second semester, at which time the students' math marks for both semesters were obtained. The results of the study were analyzed, using statistical packages of SPSS programs. Suggestions and recommendations were made. The descriptive and experimental method was used, where anxiety levels were identified in a sample of seventh-grade math students. The purpose was to study the effect of anxiety on academic achievement, as well as the factor of the student's gender and how that interacts with the level of anxiety. Data analyzed using arithmetic averages, standard deviations, multiple variance analysis (MANOVA). 3. RESULTS AND DISCUSSION This study aims to investigate the effect of the math anxiety level on student mathematical achievement in middle-school, and specifically the seventh grade. To answer the first posed question: what effect does the level of math anxiety have on the achievement of middle-school students in math? The arithmetic means and standard deviation were calculated. Table 2 shows the resultant statistics. Table 2. The arithmetic means, number, and levels of math anxiety Gender Male Female Levels of math anxiety Low Middle High Low Middle High Number 25 35 30 31 30 29 Arithmetic means of achievement 54.96 71.65 55.00 53.67 74.16 55.79 The two-way ANOVA was used to show the differences between achievements in investigating the effect had on them by the levels of math anxiety. The Table 3 below shows those differences. Table 3. Two-way ANOVA for differences of achievements in the three levels of math anxiety Source Type III Sum of Squares df Mean Square F Sig. Corrected Model 13597.11a 5 2719.42 20.52 0.000 Intercept 660518.08 1 660518.08 4984.27 0.000 Gender 20.20 1 20.20 0.15 0.697 Levels 13464.75 2 6732.37 50.80 0.000 Gender * Levels 107.19 2 53.59 0.404 0.668 Error 23058.54 174 132.52 Total 713653.00 180 Corrected Total 36655.66 179 R Squared = .371 (Adjusted R Squared = .353)
  • 5.  ISSN: 2089-9823 J. Edu. & Learn. Vol. 14, No. 3, August 2020 : 338 – 344 342 In the above table, we notice that there were statistically-significant differences (α≤0.01) between the levels of math anxiety (low, middle, and high) in achievement, where the significant value reached (0.00) confirming that math anxiety level affects achievement. Consequently, to know the differences between these levels, we used the Scheffe Test, as seen in Table 4. Table 4. The scheffe test for significance of anxiety level differences (I) levels (J) levels Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval Lower Bound Upper Bound low middle -18.56* 2.10 0.00 -23.74 -13.38 high -1.138 2.148 0.86 -6.44 4.16 middle low 18.56* 2.098 0.00 13.38 23.74 high 17.42* 2.07 0.00 12.31 22.53 high low 1.139 2.14 0.86 -4.16 6.44 middle -17.42* 2.07 0.00 -22.53 -12.31 Based on observed means. The error term is Mean Square (Error) = 132.520. * The mean difference is significant at the 0.05 level. In the above table, this researcher noticed that there were no differences between low and high math anxiety in achievement. Moreover, when math anxiety is in the middle, it precipitates high achievement. Thus, it can be said that middle anxiety stands out as different to both low and high anxiety in achievement To answer the second question: Is there a statistically significant interaction between the level of anxiety (low, middle, high) and gender (male, female) on academic achievement in math among middle-school students? MANOVA analysis was used to explore the interaction between the levels of math anxiety and gender. As seen in Table 3, there is no interaction between the levels of math anxiety and gender in achievement, where the significance reached 0.668. Consider the following Figure 1. Figure 1. The interaction between the levels of math anxiety and gender in math achievement 4. DISCUSSION Deniz and Uldas [8] point out that anxiety in math may be attributed in large part to the student’s environment. Similarly, parental discomfort to math may transfer in the form of anxiety to their children, on an inverse relationship between achievement in math and the level of anxiety [17, 11, 12, 2]. This study concurs with Elizabeth [15] on the inverse relationship between math anxiety and achievement. This study also suggests that to relieve math anxiety, strategies should be implemented to increase students’ comfort levels towards the subject. The results of this study indicate that motivation is a significant variable to them, in order to raise their level of achievement. National council of Teachers of mathematics (NCTM) confirms the importance of providing math programs that decreases the math anxiety, and provide classroom environment that help the students to achieve learning outcomes [25]. The researcher recommends the continual search for factors that lead to instability in math, so as mitigate them, but not erase them completely. One must understand that the availability of an average level of
  • 6. J. Edu. & Learn. ISSN: 2089-9823  The effect of Mathematics anxiety on the achievement of middle school students in … (Bahjat Altakhayneh) 343 anxiety may be optimal to high achievement, which, in turn, may reduce high anxiety when studying math and during tests. A controlled level of anxiety creates a positive learning environment, and provides an appropriate atmosphere to raising the efficiency of students in math, and increasing their self-confidence. 5. CONCLUSION The results of this study show that for a student, both low and high anxiety levels may lead to low achievement. Conversely, moderate anxiety levels are shown to be optimal for academic achievement in math. This indicates that students must actually have some level of anxiety in order for their achievement to be high, but that it must be controlled. This control may be difficult to achieve for a variety of reasons, such as a general fear of math, a disinterest in studying it, or a lack of confidence in completing mathematical tasks. This is especially true for those who exhibit high anxiety levels towards math. Students with low anxiety levels are typically indifferent to the study of math. They may believe that it is not useful to them, or they may not have any interest in studying it or any math-related courses in the future. This lack of interest due to a perceived low importance of math to their lives generates difficulties in its study, thus, their achievement in it. As for the interaction between the level of anxiety and student gender, the results show that both male and female students with either high or low anxiety had generally low achievement scores, while moderate concern levels for both genders lead to higher achievement. The factors of anxiety level and gender are, therefore, independent of each other. This may disagree with some of the reviewed literature on this subject. REFERENCES [1] Abuzainh, F, Mathematics curricula for schools and teaching. Amman: Dar Al-Falah for publishing and distribution, 2003. [2] Costa, A, Aesthetics: Where thinking begins. In A. Costa (Ed.), the school as a home for the mind (Ch. 2). Thousand Oaks, CA: Corwin, 2007. [3] Korkmaz, S, Dundar, S, and Yaman, H, "The Mathematical habits of mind in problem solving," Turkish journal of computer, vol. 7, no. 1, pp. 35-61, 2016. [4] NCTM, Principles and Standards for School Mathematics. Via NCTM: Reston, 2000. [5] IEA. (2016). International association for the evaluation of educational achievement. Boston College, (timms.bc.edu). http://www.iea.nl/timss. [6] Obaid, W, Teaching Mathematics to all children in light of the requirements of standards and culture of thinking. Amman: Dar Almaseerah, 2004. [7] Agail, O, "Level of Mathematics anxiety among a sample of special education students at King Khalid university," Educational Sciences Studies, vol. 02, no.3 pp. 60-86, 2015. [8] Deniz, l and Uldas, I, "Validity and reliability study of the mathematics anxiety scale involving teacher’s prospective teachers," Eurasian Journal of Educational Research, vol. 30, no.1, pp. 49-63, 2008. [9] Shields, D, "Causes of Math Anxiety: the Student Perspective in four Year Institutions," Journal of Mathematical Sciences and Mathematics Education, vol. 1, no. 2, pp. 19-23, 2006. [10] Vitasri, P, Abdul wahab, M, Sinnadurai, and Suriya, "Representation of social anxiety among engineering students," Proscenia - Social and Behavioral Sciences, vol. 30, no. 1, pp. 620-624, 2011. [11] Hembree, R, "The nature, effects, and relief of mathematics anxiety," Journal for Research in Mathematics Education, vol. 21, no. 1, pp. 33-46, 1990. [12] Yaaqoub, E, "Mathematics concern of pupils and its relationship to some personal, psychological and cognitive variables," Journal of Educational Research Center, vol. 5, no. 9, pp. 179-206, 1996. [13] Ashcraft, M and Kirk, E, "The relationship a mong working memory, math anxiety, and performance," Journal of Exepermental Psychology, vol. 130, no. 2, pp. 224-237, 2001. [14] Riika, S, Tuire, K, Helena, V, Tuija, A, Eija, R, Pilvi, P, Peura, D, and Mikko, A, "Math anxiety and its relationship with basic arithmetic skills among primary school children," British Journal of Educational Psychology, vol. 87, no. 3, pp. 309-327, 2017. [15] Elizabeth, A, Daeun, P, Erin, A, Sian, L, and Susan, C, "Reciprocal relations among motivational frameworks, math anxiety, and math achievement in early elementary school," Journal of Cognition and Development, vol. 19, no. 1, pp. 21-46, 2018. [16] Mina, B and Mehdi, A, "The effectiveness of modular cognitive behavioral therapy on mathematical anxiety and assertiveness in students," Fundamentals of Mental Health, vol. 20, no. 6, pp. 417-428, 2018. [17] Akanksha, S and Santha, K, "The Role of parental math anxiety and math attitude in their children’s math achievement," International Journal of Science & Math Education, vol. 15, no. 2, pp. 331-347, 2017. [18] Hodges, T.E, Roy, G. J, and Tyminski, A. M, Proceedings of the 40th annual meeting of the North American chapter of the international group for the psychology of mathematics education. Greenville, SC: University of South Carolina & Clemson University, 2018.
  • 7.  ISSN: 2089-9823 J. Edu. & Learn. Vol. 14, No. 3, August 2020 : 338 – 344 344 [19] Ciftci, S. "The effect of math teacher candidates' locus of control on mathematics anxiety: Structural Equation Modeling," European Journal of Education Studies, vol. 15, no. 1, pp. 148-160, 2019. [20] Almasry, M and Abulebdeh, K, "Mistakes of jordanian students in mathematics and science in the third international study (TIMMSS)," Studies of the National Center for Human Resources Development 80, Amman, 2008. [21] Morsi, K, "Mathematics anxiety relation to secondary students stages," Dirasat Education College, vol. 4, pp. 159- 176, 1982. [22] Alanzi. F, "Academic achievement and its relationship to pathological fears and exam anxiety among a sample of secondary school students in the state of Kuwait," Journal of Gulf and Arabian Studies, vol. 111, no. 29, pp. 171- 221, 2003. [23] Afoneh, T and Basharat, S, "The effect of using computerized games on anxiety, pleasure, motivation and self- perception among sixth grade students in Tubas governorate when learning Mathematics," An-Najah University Journal for Research (Humanities), vol. 33, no. 7, pp. 1061-1096, 2018. [24] Hart, L, The mathematics education of elementary teachers: Issues and Strategies for Content Courses, Charlotte, NC. (E-book), 2016. [Online] Available: http://proxy.aou-elibrary.com/ [25] National of Council of Teachers of Mathematics (NCTM).principles and standards for school mathematics, Reston: NCTM, 2000. [Online] Available: https://www.nctm.org/Standards-and-Positions/Principles-and-Standards/ BIOGRAPHY OF AUTHOR Dr. Bahjat Altakhayneh, Associate profeesor of Curriculum and Mathematics Teaching Methods Department of Educational Studies, Arab Open University, Jordan. Email: B_takahyneh@aou.edu.jo