Having been doing maths for most of my life, I am confident that the only way to properly master maths is through tackling carefully constructed examples designed to teach a certain concept, technique or common misconception. I like to start with easier examples to help solidify the foundation of a student’s knowledge and help boost their confidence, eventually ramping up to more difficult, multi...
Having been doing maths for most of my life, I am confident that the only way to properly master maths is through tackling carefully constructed examples designed to teach a certain concept, technique or common misconception. I like to start with easier examples to help solidify the foundation of a student’s knowledge and help boost their confidence, eventually ramping up to more difficult, multi-part examples that often require piecing together different topics (so-called synoptic questions). I have always believed that whatever grades you are aiming for, having a go at the most difficult questions, even if you have no idea where to start, is extremely beneficial. They not only push you to master certain topics, but they make other questions appear more approachable in comparison and encourage ‘productive struggle’ (a term I learnt from my A level further maths teacher).
The main hurdle to overcoming the anxiety and dread that many students feel when learning maths is dealing with being stuck. As a maths student, I know how this feels! Over the years I have developed strategies to turn the struggle of being stuck (which often involves panicking and staring blankly at the page) into something productive. Sharing these strategies with my tutees will not only improve their exam technique but will make them better mathematicians and help them foster a love for the subject, as maths is ultimately a fun creative endeavour!