Re: Newish to Mandolin, Teacher advice.
You haven't specified what genre of music attracts you -- that's another consideration in working with a teacher. Strumming and chords are all well and good if that's the kind of music you are concentrating on. You'll find that you don't need either if you play strictly classical or ITM. You can actually play to your strengths if single-line melody is a strength and you're only drifting into chords and strumming as some sort of "I guess I have to do it because that's the rule" kind of mindset. Strumming and chords are part of the larger mandolin (and music) experience but you do have the option of going in another direction.
My mandolin teacher (we meet once a month) and I mostly just play baroque duets together, which is single-line melody; or he'll grab his guitar and play chords or backup if we're wandering into choro (I'm a single-line-melody kind of girl). same with playing with my-husband-the-guitar-player -- I play single line melody on ITM tunes and he plays chords and backup. So there's that -- you get to work on reading/learning fiddle tunes and your teacher provides the backup. It's music as opposed to, say, technique.
For technique, I'll add a nod to what the others are saying. it's best to learn how to play the mandolin from someone who has mandolin as a primary instrument. That way you don't end up changing something right (for mandolin) to learn the technique for, say, guitar or banjo -- and that includes the angle of the fretting hand and placement of your picking hand and whether to rest your little finger on the instrument or not.
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