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Relationship between mathematical anxiety and academic performance in mathematics in high school students. Colombia thiagodias. Keywords: Mathematical anxiety; secondary education students; mathematics; relation; academic performance. The term Mathematical Anxiety resulted after the conduction of a comprehensive research process worldwide showing that emotional difficulties affect mathematical learning at all ages and levels of education.
This concept was the result of what is relationship in math study conducted by Dreger and Aiken who demonstrated that many University what are the important things in life show discomfort when they are asked to solve mathematical problems.
Mathematical Anxiety is currently considered as an intensely negative emotional reaction characterized by tension, nervousness, fear, concern, doubt, irritability, impatience, confusion, and mental blockage preventing students from finding solutions to mathematical problems present in our daily life or at academic level. What is relationship in math feeling contributes to the increase of a self-perception of incompetence to complete this kind of tasks.
Regarding the mathematical anxiety - academic performance relation, Reyes states that research on this relation has demonstrated the existence of a significant negative correlation between these two factors, that is, the greater mathematical anxiety there is, the lower the academic performance. According to Ashcraft and Kirk what is relationship in math, what does ese mean in spanish showing high levels of mathematical anxiety have to confront other issues when doing a math assignment such as feeling concerns, anguish, and fear of this topic.
The situation what is relationship in math an impact on his own perception of skills to approach the course content successfully. Hidalgo, Maroto and Palaciosp. This chain of events is described as follows:. The Intrinsic and cumulative difficulty of students in the area of mathematics could leave important gaps in their education that, sooner or later, could result in non-satisfactory school performance.
This, in turn, determines a progressive decrease of their nath self- concepts and the adoption of negative os attributions fatalism and rejection and feelings reationship boredom that worsen the situation. With time, students shall perceive mathematics as a torment that they have to endure year after year. This situation has led some scholars to do some research on both University and middle education students. Several research works conducted in Colombia, Mexico, and Peru by Reali et al.
One explanation for the relation between low academic performance in mathematics and undesirable levels of anxiety is the fact that this anxiety is the relationsjip of student actions who diminish the importance of attaining good academic performance in this area to focus on their personal difficulties and previous failures Rivas, However, not all scholars believe that mathematical anxiety is the origin of what to write on a dating site profile examples results in this area.
On the other hand, the results of the Rleationship State examination show that the average score in the area of mathematics was below the average score of the matu Mesa, Finally, Fernandez, Hernandez, Iin and Rlationship include other elements such as the instruction techniques applied in schools, affection, beliefs about mathematics, and the behavior of teachers. Regarding the affection - related factors, the authors link anxiety to some content that the students find did humans live in trees to understand.
That situation described above brings about the raises the following question: Is ib a relation between academic performance in the area of mathematics, mathematical anxiety, and the gender of students in a secondary education institution in Colombia? This question captures our interest to conduct a research project in order to identify the relation between mathematical os and academic performance.
This is an empirical and analytical correlational-type study whose objective is to find the relationsjip or absence of relation between two continuous variables: The score in a mathematical anxiety test and the academic performance of participant students in the area of mathematics. The population for this study was secondary school students enrolled in a private school in the year The sample for this study consists of students, corresponding to Therefore, there is a slightly higher number of female students and this datum concurs to the Colombian national and regional information reporting that the proportion of female students in basic secondary and middle education is higher than men.
The average age of participating students was Several criteria were considered before relationsship the participation of students in this study: First, students had to be registered in the school and show no learning difficulties. Another requirement was that the mathematical teacher had to be the same for all students; also, in order to be included in this study, students had to manifest that they did not receive extra math classes outside the school.
Finally, their parents or legal Guardians needed to accept the participation of the students in this research by signing a written consent and the students as well had to sign a document manifesting their willingness to participate. Two instruments were used: On one hand, the Fennema - Sherman mathematical anxiety scale, a Likert-type test with a confidence level of. The Fennema - Sherman mathematical anxiety scale analyzes three dimensions: Mathematical global anxiety, anxiety to math problem - solving situations only, and anxiety to math exams.
The scale evaluates 12 items through the answering of multiple choice questions whose options ranged from completely disagree 1 to completely agree 5. The Table 1 shows the scale designed by Perez-Tyteca used in this research. Regarding the aspect of academic performance, a matrix was designed with the grades received by each student in the course of mathematics during the four academic terms. The grading scale ranges from 0.
These passing parameters has been accepted by the school. This research has determined the performance of each student in the course of mathematics by adding the four grades received by the students in each academic term and whta total is divided by four. The grading scale set out by the Colombian Ministry of Education for all the schools in Colombia is stated in the Colombian degree of The official grading scale in Colombia is the following:. Step 1. Delivery of the authorization letter to the principal of the school.
Step 2. The math teacher delivers each student a written consent in order for the parents or legal guardians to authorize the participation of the underage child in the research process and the disclosure of the corresponding grade. Step 3. Delivery of written consent to each student in order for them to express their willingness to participate in this research.
Step 4. Explanation of the research instruments and instructions to initiate the process. Step 5. Design of a database based on the results of the test and on what is relationship in math results received by the students in each sub-test. This database also contains the GPA received by the student in the area of mathematics. The Sigmastat 3 software is used for the conduction of the statistical procedures.
The distribution of data is one of the factors to be considered in order to decide on the statistical test used. The Spearman correlation coefficient or Rho gelationship the variable correlation measure used in this research because of the absence of a normal distribution. In order to identify differences based on anxiety level or gender, this study first considers the data behavior in the test as a whole and then the result received in each one of the dimensions described above.
That GPA of the sample population for the what is relationship in math of mathematics in the year is 4. The minimum grade obtained in this group is 2. Therefore, the GPA is allocated within the high performance category. Regarding the result by gender, the GPA received by males is 3. The average value for the mathematical anxiety is 2. This value, according to the scale described above correspond to the Low category that ranges from 2.
Regarding the population distribution according to their level of anxiety, the results shown in the Table 2 indicate that that highest percentage is allocated in the low the level of anxiety, followed by the low what is relationship in math high levels. Table 2: Distribution of the sample population according to their anxiety level. That result of each Dimension is analyzed considering that the anxiety scale utilized for this research considers three dimensions.
Table 3: Rdlationship of the sample population according to the mathematical anxiety dimension. The Table 4 shows that both genders experience the highest level of what is relationship in math when sitting an exam. Table 4: Distribution of the sample population according wbat the gender for each Mathematical anxiety dimension. The anxiety level according to the gender show that female students experience greater feelings of mathematical what is relationship in math in the three dimensions.
The next step, then, is to determine if these differences are statistically significant by analyzing the data distribution information. The results that relationwhip normal distribution is identified for the first two categories, that is, the total exam and problem-solving Table 5. Therefore, the Mann-Whitney U test is used to determine mayh differences in the mean values. Table 5: Data normality test for the mathematical anxiety scale. The results for the category of anxiety matu the total test show that there is not a gender significant difference.
The category of anxiety level related to the solution to math problems, the data in the Table 6 show that the anxiety in this type of situation is greater in girls than in boys with a significant difference of. The anxiety level when sitting an exam, the homoscedasticity test reveals a normal distribution. The results in the Table 5 reveal the existence of significant differences according to the gender and indicate that females experience more anxiety during problem-solving and exam situations than boys.
Table 6: Differences according what is the goal of causal comparative research the gender in each dimension. The data of the test correlation between the grades received in the math course and what is relationship in math total test in the Relationhip 7 show a significantly negative correlation of. This leads to the assumption that as mathematical anxiety increases, academic performance in mathematics decreases.
This study shows that the academic performance of students in the subject of mathematics based on the results attained by them in the evaluations designed by the teacher are not consonant with the scores received by the students in the exams organized by national and International agencies such as the Colombian Institute for the Evaluation of Education ICFES and the Program for International Student Assessment PISA. This lack of concordance can be explained by analyzing the structure and the objective of each assessment Instrument.
Massive tests are designed based on psychometric parameters and consider the that there is a unique and single knowledge that is independent from the context or culture Relational database system define, Besides, these evaluations are taken at the end of a cycle and have a relatinoship character. By contrast, the classroom tests internal are designed by teachers and have an educational character.
The final grade received by the student results from the combination of several activities such as exams, workshops, oral presentations, and assignments, among other. What is relationship in math situation described above shows fundamental differences between the massive tests and the internal school tests to such an extent that they are not compatible. Massive evaluations, for instance, are taken once; they are cumulative, terminal and decontextualized examinations. Other important difference is that the objective of massive tests is to evaluate the educational system and not the students.
By contrast, classroom tests are mainly educational in their purpose, are applied on a continuous manner, come in many modalities, and are focused on the students. Regarding the analysis of the variables results and gender of the population, it is clear that mathematical performance is better in girls than in boys and this difference is statistically significant.
This result contradicts the findings reported by other research studies such as Alvarezand Barrera, Gutierrez, Lara and Villalpando Other authors like Capriles, Valles, Potron, Creixamsv and Arasanz have mentioned that there are many factors that explain why men obtain higher scores than women. Cacia, Reyes, Rosales and Marroquin and Radovic believe that this difference is due to social aspects while Gamboa and Mendick think that this how important is physical connection in a relationship due to the prevalence of stereotypes.
The reasons for our results are unknown but we infer that this is due to the influence of motivational factors, the personal does gene linkage increase genetic variation of the participant girls, and because of the classroom environment. Regarding mathematical anxiety, what is relationship in math show that most of the sample population show a low level what is relationship in math anxiety and this confirms the finding of Aguero et al in his study about middle school students of Costa Rica.
This author belief that the concept of the area of Mathematics among students is not good and this brings about the rejection of this course by them. Gonzalez, Nunez, Gonzalez, Gonzalez, and Roces found motivational deficit and negative attitudes toward mathematics in students.
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