Can anyone recommend online or printed sources on anything related to teaching university level math tutorials (that accompany a lecture course taught by someone more senior, but I'd also be happy about material for the lecturer himself)?
I am looking for general strategies/insights/reflections on anything ranging from exciting students for a subject (presenting extracurricular material can motivate but also intimidate), to effectively presenting proofs (being detailed can reassure but also bore), to pointing out patterns, to structuring homework assignments, to grading assignments, to structuring the classes (solve homework in front of students? hand out solutions/hints? after or before they hand their solutions in?), to repeating old material versus anticipating future material, etc.
Should it matter, I am going to teach mostly students of mathematics (as opposed to business, engineering, medicine,..) from freshman to graduate level and am mostly doing analysis (PDE, functional- and complex analysis, numerics). However, I am not looking for course book recommendations.
I know that I should have made up my mind about these things back when I sat through tutorials myself, and I have -- partly -- but I figure it won't do any harm to double check and profit from other people's actual teaching experience, and I found it quite difficult to find anything substantial on this.