Raphael James Toner

My teaching style is clear, patient, and adaptable, focusing on breaking down complex mathematical concepts into simple, logical steps. I tailor my approach to each student’s learning style, ensuring they not only understand the material but also gain confidence in problem-solving. I believe that math is best learned through practical examples and step-by-step reasoning, so I incorporate real-world applications and interactive problem-solving techniques to keep lessons engaging. Whether a student needs structured guidance or a more flexible approach, I adjust my teaching to meet their needs, always aiming to make learning an enjoyable and rewarding experience.

I hold a First-Class Honours degree in Physics and Mathematics from the University of Southampton, where I developed strong analytical, problem-solving, and numerical reasoning skills—essential for teaching mathematics effectively. My studies covered a range of advanced topics, including Mathematical Methods, Numerical Analysis, and Classical Mechanics, all of which required breaking down complex concepts into simpler, logical steps. Prior to this, I earned a Level 3 Extended Diploma in Manufacturing Engineering with Highest Honours, where I gained practical experience applying mathematical principles in real-world engineering problems. These academic experiences have strengthened my ability to explain mathematical concepts clearly and adapt to different learning styles.

Beyond my education, I have direct experience tutoring both university peers and younger students, helping them understand challenging mathematical and physics concepts. My tutoring approach focuses on simplifying difficult topics, fostering logical reasoning, and building students’ confidence in problem-solving. In my current role in the engineering industry, I apply structured problem-solving daily, working with complex control systems that demand precision and logical thinking—skills that directly translate to effective mathematics tutoring. Additionally, my previous experience in the finance sector required the use of data analysis, numerical reasoning, and programming (SQL, Python, and VBA), reinforcing my ability to teach mathematical thinking in a structured, practical way. My combined academic background and professional experience make me well-suited to guide students towards mastering mathematics with confidence.