Maths tutor for year 10 and 11. Can help developing mathematical logics

I am currently a first-year student at the University of Bath, pursuing a BSc in Mathematics, Statistics, and Data Science. With a passion for teaching, I have accumulated nine months of experience tutoring foundation students in Pure Mathematics and Further Mathematics from December 2022 to August 2023. During this period, I have successfully assisted my students in achieving their desired scores. For instance, one of my students initially received a D in the end-of-semester 1 exam. However, through my tutoring, she not only improved her understanding but also attained an A, securing admission to her dream school. I am dedicated to ensuring my students comprehend challenging concepts and can apply them to various tasks. I prioritize their success, often going above and beyond by putting in overtime when necessary. I firmly believe that in a paid role, tangible outcomes should be the result of dedicated effort and commitment. I possess a remarkable aptitude for imparting mathematical concepts to students who may find numbers and formulas initially challenging. My teaching methodology is structured and effective, beginning with a comprehensive explanation of fundamental concepts. Following this, I guide my students through the process of memorizing key formulas and concepts. An essential aspect of my approach involves reinforcing understanding through active engagement. I encourage my students to articulate and explain the learned concepts and formulas, fostering a deeper comprehension of the material. This interactive process ensures that the knowledge is not merely memorized but thoroughly understood. Moreover, I emphasize the application of knowledge by prompting my students to solve problems and provide proofs. This practical aspect of learning enables them to master the underlying processes and enhances their problem-solving skills. The positive outcomes observed in my students attest to the efficiency of this approach, reinforcing the effectiveness of my teaching methods.