Fixed Point Theories and Their Feasibility for Teaching in Middle School
Abstract
The field of "Fixed Point Theories in Mathematics" is an important and intriguing area for study in the realm of mathematics, which warrants inclusion in middle school curricula. This subject encompasses mathematical concepts and ideas related to fixed points in mathematics, which play a vital role in numerous scientific and technological applications.
A comprehensive understanding of fixed point theories makes a significant contribution to the development of logical thinking and mathematical reasoning skills among students. This specialization provides them with an opportunity to explore the world of mathematics in an enjoyable and practical manner. Proficiency in the principles of fixed points enhances problem-solving skills, fosters creative thinking, and encourages critical thinking.
A study was conducted at Al-Shamoukh School in Al-Rusafa, during the 2022-2023 academic year. One hundred female students were randomly selected and divided into two groups: an experimental group that studied Fixed Point Theories, and a control group that followed the standard curriculum. Monthly test performance was compared, revealing that students in the experimental group achieved significantly better results than their counterparts in the control group. The success rate in the experimental group reached 100%, compared to 90% in the control group. Moreover, the percentage of students scoring high grades increased in the experimental group.
Based on these results, the study concluded that teaching the topic of Fixed Point Theories positively impacted the performance and understanding of female students in mathematics. The study recommended enhancing the curriculum by incorporating this topic and raising awareness among students and teachers regarding its importance. It also suggested improving teacher training in the delivery of this subject.
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References
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