Primarily, I like to find out specifically what the student is struggling with and what they are good at within the subject, so I may give them a general aptitude maths test, containing problems from a range of different areas within maths.
Secondly, in each individual session afterwards, I would like to start off by introducing the topic we'll be discussing and perhaps a little information about how it works and why it is useful to know (how it is applicable to the world - perhaps by giving age-appropriate examples). I will then work through a few problems with the student until the student feels they can tackle it on their own.
I leave them to tackle an exercise of problems. If they have any questions, I happily assist. Then, at the end, I check over the answers and talk through the ones they may have gotten wrong and try to guide them to a realization of why they got it wrong and perhaps give them 2 or more similar problems to the ones they got wrong so they can not only understand but also prevent making similar mistakes in future.
Admittedly, I have never tutored anyone officially. I have helped a few of my younger cousins with homework exercises before but never anything official. I think my lack of experience may prove to be an advantage in the sense that we will both be learning; I will be learning how to be an effective teacher and listener, and he or she will be learning the subject itself. So, I think it'll be a growing opportunity for both of us. I think this will enable me to build a genuine connection with the students because my lack of experience is humbling and in no way do I ever believe myself to be smarter or superior, simply just older.
I have strived for academic excellence my entire life. I had to work really hard to get the grades that I have consistently gotten throughout my life. I understand that academic success in certain subjects can prove difficult to many students and it may discourage them from trying. However, I want to show them that nothing is beyond their capabilities if they work diligently.
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