I teach production to a professional quality on logic pro x catering my lessons to the students experience and passion. I like to approach music letting the artist lead the session hopefully sparking inspiration and a drive through out their music journeys. Modules i would cover would generally consist of:

beginner to advanced composition
manipulating midi and audio to expand creative potential and musical identity when creating music.
sampling and resampling
remixing
Cinematic composition and arranging
different types of equalisers, compression, Saturation techniques.
How to utilise reverb effectively and a wider range of plugin tools. (stock or third party)
step sequencers and rhythm
poly rhythm and how its implemented across different genres.
Understanding the difference between analog, analog emulators and digital effects and being able to aurally identify which is which and the pros and cons of using certain types of equipment.(mics, Speakers, audio interfaces and how they convert audio, midi and sampling tools provided by logic)

I am preferably a one to one tutor with a very hands on practical approach. I am fluent in piano and guitar, the latter I have studied for 9 years and have worked in various high profile studios assisting artists to achieve their desired result creatively or sonically. Since before I had an understanding of music theory, I've always relied on my ears recognising intervals and chord tones from how they sound as opposed to how they are written in manuscript.
The reason I favour this approach is that I feel music should be cultivated internally so when a student has theory knowledge It isn't a creative restriction and actually a tool which can be summoned when required. One thing that I have learnt over the years of studying jazz is that rules are meant to be broken. Did you know that the flat 5th(also known as a tritone) was the devil's interval and classical musicians were prohibited from playing it; despite this, Jazz musicians used this tritone substitution to construct new innovative methods to move through chord changes and advanced harmony. This is just an example of how imperative sonic exploration is finding out the scales and frequencies that the student finds enticing as in my opinion, this is how innovators are born.