Welcome to the forum.
What you are seeing is the default Ripple Edit.
To get an Insert Edit, instead of the Ripple Edit, hold down the Ctrl/Cmd modifier key, when performing the Trims, or when Deleting, if you do not want the other material to Ripple.
Thank you so much!
...and you're a fellow Bill too
You are most welcome.
Not exactly how Adobe determined that the default for PrE should be the Ripple, as it is the Insert with PrPro. I suppose that they studied how their two, different target markets worked, and decided that PrE-users would want Ripple most often, while PrPro-users would want Insert - they are just the opposite, though that Ctrl/Cmd modifier key swaps from the default in each program. As I use both, I often have to pinch myself, to remember which program I am in, to determine if I want Ripple, or Insert.
For general editing, the Ripple is the most useful, at least in my Projects, but doing music video, I can certainly see why you would want Ripple OFF, as things could easily get messy.
Glad that it worked for you, and happy editing,