I have to write these project approval documents all the time at work, and many times there are sections or even tables that will get split across pages. It’s actually quite easy to fix this, if it bugs you like it does me.
- Just select the text you want to keep together
- Format → Paragraph → Line and Page Breaks Tab
- Select the “Keep with next” checkbox and click OK
There ya go. Works in 99% of situations. 
I did come across a situation where this doesn’t work recently. This trick doesn’t perform well when the number of columns don’t match in the text you’re trying to keep together. I was working on Mike’s resume, and the title/company and location/date were split into two columns, then there was standard one column bulleted content below that that split to the next page. It’s hard to explain, but trust me, it doesn’t work. Sorry. I’ll let you know if I find a fix. For the time being, I’m using a page break.