My main focus is to provide conceptual clarity, since I think that is the best way to boost the student's motivation and reduce mistakes when doing calculations or proofs. By this, I mean a good balance between technical knowledge, intuition, and practical techniques for problem solving and mathematical argumentation. From my experience in the physics undergrad, I know that, in science, often most of the emphasis lies with the intuition and practical techniques, while the clarity and precision that formal mathematics provides is sacrificed in the process. I think this results in students being unnecessarily confused, since it can simply be addressed by introducing the appropriate mathematical definitions and arguments. Similarly, from my mathematics MSc, I know that, in pure mathematics, often the intuition side is lacking, which can result in a loss of motivation. This can be easily fixed by explaining how the mathematical subject in question relates to science or to other branches of mathematics.
I like to keep the lessons interactive, which means that I tend to ask students to solve problems or replicate arguments with my guidance, because I think that learning by doing is one of the best ways to build confidence and to really understand and retain the subject. Also this allows me to get a better understanding of their needs, so I can adapt to them.
So, whether you are a mathematics student struggling with the intuition and motivation, or a science student trying to make sense of the theory or to reduce your mistakes while calculating, I am here to help!
I am co-founder of the Society for the Study of Mathematics and Physics. In 2010, me and a few other friends were dissatisfied with the conceptual clarity and range of topics offered to us at the physics undergrad in Spain, so we decided to create a society as a platform for motivated students to share their knowledge and understanding with each other. Soon, a few of us started to prepare and deliver short lecture courses on topics we had learnt while studying abroad. Since 2013, we have been hosting a yearly one-week summer school that physics and mathematics students from all around Spain attend for free, and to which I have contributed with many courses and talks.
During my PhD studies at the University of Edinburgh, I have been hired by the University as a tutor and as a teaching assistant. In private tutoring, I have taught algebra and its connection with geometry in preparation for the student's upcoming MSc in artificial intelligence, and I taught Spanish for six months when I was living in Germany.
My passion for teaching, and my belief on the importance of education as the best tool for the improvement of both individuals and societies, comes originally from my family, in which both my parents and my sister are teachers. I see private tutoring as a very exciting opportunity for me to design my own presentation of a subject, for clarity and to adapt to the student's needs.
Because I have been exposed to highly interdisciplinary research fields and communities (involving branches of pure mathematics, physics and computer science) I am used to adapting my teaching style and presentation to adopt the point of view preferred by my listener.
I completed a Physics degree in Valencia, Spain. Afterwards, I went to Hamburg, Germany, to take part in the two-year MSc programme on Mathematical Physics, in which I mostly chose subjects in pure mathematics. Finally, I got a scholarship to pursue a PhD at the Laboratory for the Foundations of Computer Science of the University of Edinburgh, and I have now submitted my thesis for examination.
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