How I like to teach
My teaching style is structured and thorough.
I start every lesson with a five minute recap of the key content of the previous session, checking how much the tutee remembers.
A typical lesson will then consist of a translation, in which I ask the tutee to note down each unknown word as it is encountered and to devise a memory trick which will help them to recall the word in a five minute test at the end of the lesson.
Together with the tutee, I will then pick a grammar point which stood out in the translation exercise as requiring the most immediate attention. We will spend five to ten minutes working on that, with the tutee's understanding tested with some reinforcement exercises.
At the end of the lesson we will recap all the new vocabulary and grammar which was covered, and I will typically set a manageable 20 - 30 minute homework for the next session based on what was covered in the lesson.
Every lesson is of course different, and tailored to the tutee's requirements, but I find this approach works in the vast majority of cases. I consider grammar to be crucially important, but treat it as a means to an end and always emphasise the ways in which it can be usefully applied to translation rather than learned in isolation.
I believe that any tutee can excel in Latin and Greek with a little guidance and a decent amount of independent work. Above all, I strive to make my lessons fun and enjoyable. I love my subject and want all of my tutees to love it too.