I prefer to tailor lessons individually to what students want to cover. As a general format, I like to frame lessons around a range of problems which focus on areas you want to work on, however sometimes I like to introduce the topic area first before introducing questions relating to it. Sometimes I like to use starter problems to introduce topics before, and I often try to tie together differen...
I prefer to tailor lessons individually to what students want to cover. As a general format, I like to frame lessons around a range of problems which focus on areas you want to work on, however sometimes I like to introduce the topic area first before introducing questions relating to it. Sometimes I like to use starter problems to introduce topics before, and I often try to tie together different areas of mathematics that relate to what a student wishes to cover as to provide more context to the material and recognise it in unfamiliar situations, a skill that I feel is becoming increasingly called for. Often in exams, and further along in education, students are asked to solve problems using areas that they are familiar with, but in unexpected scenarios - this usually causes problems, but I have experience helping students to solve these types of questions and identify the topics of mathematics they need to use to solve them. I usually create custom materials and problems which are adapted from/based off of questions from exams, etc., as to better tailor my lessons towards students.
In my experience, I find tutoring to be most effective when there is a sense of collaboration, rather than it simply being formatted like a lecture with a set of problems to solve. By doing this, I can get a sense of how to better tailor my advice and explanations towards you as an individual, and explain concepts in ways that make more sense for you.
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