In my lessons I intend to be responsive to my students, recognising areas of both toughness as well as weak point and adjusting the pace, style and method of the lessons as necessary. Throughout my knowing of mathematics I have constantly felt that I involve the most with the topic with doing lots of instance problems, so I would certainly put a high value on this approach to discovering in my sessions. I will revisit the previous week's content at the beginning of each session to ensure a strong understanding and to develop confidence for the tutees as they move forward.
I will certainly endeavour to resolve any kind of hesitation or uneasiness when approaching 'larger' troubles, whether in size or complexity of their material, by revealing logical methods to break down the problem into little parts which are simpler to tackle, before developing to a full, extensive way out.
I can ensure that I will certainly hold my horses as well as encouraging in all of my communication with students. I would like to not just broaden my tutees' expertise however additionally, with the contentment of their development and success, see them expand a love for Mathematics as I have.