Owain Capper

For each new topic covered, we will begin with some examples to motivate why it is useful, and how it works. Then, the topic will be discussed in greater, more general detail, with questions being asked to verify and consolidate understanding. There will be an emphasis on explaining where certain facts and formulas come from where understandable, even if this is not strictly required knowledge, in order to build a deeper connection with the subject and feel involved in the process of learning. After this, I will go through a couple of example questions, including discussing techniques on how to tackle different questions and break them down into bitesize chunks.
Finally, I will give some questions to the student, starting with more simple understanding checks and progressing to exam-style questions (if this is appropriate for the current level of understanding). We will go through the questions together after enough time has been given to attempt the question, and I will give hints (not answers) where needed so that the student can build important problem solving skills. Mathematics is not a spectator sport, and it is hard, but a little patience and hard work is all that is required to find success in it.
I must emphasize that the student will be able to ask questions at any time if there is something they do not understand, want a bigger picture of the content studied, or require clarification. I have successfully taught several students using these strategies, and they are designed to build greater self-confidence - the most important thing to learn. From experience, often students do understand the work, but they do not have assurance that what they know is correct or improving.