Wow, thanks a lot for all the answers!
As some of you have correctly suspected (Bill Burk, Gerald C Koch, pdeeh, and Fabrizio Ruggeri, just to name a few), I am rather new to the analogue world, and I am really not familiar with the details of the Zone System. (Adopting Fabrizio's catchy words, please don't "overkill" me!) I definitely plan to dig deeper into the technical aspects of analogue photography, including reading the suggested classics by Ansel Adams, but for the time being, I am just looking for some basic guidelines.
Speaking in layman's terms - and I apologise for doing so -, what I often experience is that I pick up the developed negatives from the lab and the scans lack in contrast to my eye/taste. What I do than, as a layman, is resorting to Photoshop and adjusting the gradation curve until the contrast pleases me. This almost always involves brightening the highlights and darkening the shadows, i.e. giving the curve an S-shape.
However, I feel like tweaking curves in Photoshop is not what analogue photography should be about, and I would like to achieve the desired contrast by purely analogue means.
Now, referring to the instructive answers by Doremus Scudder and smieglitz, and hoping I understood them correctly, here is what I came up with: If I under-expose, I will get strong blacks. (This is what I want.) However, I also want strong whites: In order to get these, I must over-develop the negatives. While the light grays will turn white (this is what i want), my blacks will still stay black, because - quoting smieglitz - "increased development doesn't change the shadow tones very much but has a great effect on the midtones and highlights."
In brief, this boils down to pushing, i.e. under-exposing and then over-developing.
Ok, experts out there, please tell the layman if he got it right.
