Am I approaching samadhi properly?

**The problem:** I've encountered some confusion about the differences between samadhi and vipassana, as would seem to be a frequent problem amongst beginners. This confusion was only worsened by my having a Zen master tell me that my practice was vipassana, and that I should just continuously count my breaths up to ten and then back down instead. I don't think she realized that I was striving for samadhi, and I don't think she really knew what she was talking about. I find Theravada to be the path for me, and have stopped visiting that zen center, but am still confused nonetheless. So, in the absence of a formal teacher, I figured I could ask here to see if someone can provide me with some guidance. **My meditation practice:** Concentrate on the sensation of the breath and nothing else, no numbers, thoughts, or words for as long as I can or unless I feel like they would help me. Some thoughts I use, for example, are, "Let go of it", "Become one with the breath in the present moment", "I am looking for my thoughts; I should be looking for my breath", and other thoughts of a similar nature. -- So basically, does this kind of practice generate samadhi, or vipassana? I'm not looking for insight while meditating. Just looking for the breath and focusing on it. Thanks in advance.