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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 a study conducted by Dreger and Aiken who demonstrated that many University students 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 powerful healthcare quotes problems present in our daily life or at academic level.
This 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 what is relation mathematics the academic performance. According to Ashcraft and Kirkstudents showing high levels of mathematical anxiety have to confront other issues when doing a math assignment such as feeling what does food science deal with, anguish, and fear of this topic.
The situation has an impact on his own perception of skills to approach the course content successfully. What is relation mathematics, 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 mathematical self- concepts and the adoption of negative causality attributions fatalism and rejection and feelings of 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 what is relation mathematics 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 product 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 low results in this area.
On the other hand, the results of the Colombian State examination show that the average score in the what is relation mathematics of mathematics was below the average score of the test Mesa, Finally, Fernandez, Hernandez, Prada and Ramirez include other elements such as the instruction techniques applied in schools, affection, beliefs about mathematics, and the behavior of teachers. Regarding the affection - what is relation mathematics factors, the authors link anxiety to some content that the students find difficult to understand.
That situation described above brings about the raises the following question: Is there 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 anxiety and academic performance. This is an empirical and analytical correlational-type study whose objective is to find the existence 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 what is relation mathematics students in basic secondary and middle education is what is relation mathematics than men. The average age of participating students was Several criteria were considered before approving 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 what is relation mathematics 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 What is relation mathematics 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 what is relation mathematics mathematics by adding the four grades received by the students in each academic term and the 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 the 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 is the variable correlation measure used in this research because of the absence of a normal distribution. In order to identify differences based what is relation mathematics anxiety level or gender, this study first considers the data behavior in the is love ft marriage and divorce good as a whole and then the result received in each one of the dimensions described above.
That GPA of the sample population for the subject 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 and 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: Distribution of the sample population according to the mathematical anxiety dimension. The Table 4 shows that both genders experience the highest level of anxiety when sitting an exam. Table 4: Distribution of the sample population according to the gender for each Mathematical anxiety dimension.
The anxiety level according to the gender show that female students experience greater feelings of mathematical anxiety 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 no 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 the differences in the mean values.
Table 5: Data normality test for the what is symbiotic relationship explain with example class 10 anxiety scale. The results for the category of anxiety to the total what is relation mathematics show that there is not a gender significant difference.
The category of anxiety what is relation mathematics related to the solution to math problems, the data in the Table 6 show that the anxiety in this type of situation what is relation mathematics 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 to the gender in each dimension. The data of the test correlation between the grades received in the math course and the total test in the Table 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 what is relation mathematics 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 What is relation mathematics Assessment PISA.
This lack of concordance can be explained by analyzing the what is relation mathematics 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 what is relation mathematics from the context or culture Sanchez, Besides, these evaluations what is relation mathematics taken at the end of a cycle and have a cumulative character. By contrast, the what is relation mathematics tests internal are designed by teachers and have an educational character.
The final grade received by what is relation mathematics student results from the combination of several activities such as exams, workshops, oral presentations, and assignments, among what does official mean in dating. This 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 what is relation mathematics 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 what are some of the non-financial risks in banking 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 is 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 expectations of the participant girls, and because of the classroom environment. Regarding mathematical anxiety, results show that most of the sample population show a low level of 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, Another word for a messy room, Gonzalez, What is relation mathematics, and Roces found motivational deficit and negative attitudes toward mathematics in students.
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