Hi Wayne, and welcome to ehMac -- and to the Mac.
I'm supposing that you were trying to resize the windows from a side r corner OTHER THAN the bottom right. Although you can resize a window from any point in Windows, it is only the bottom-right of a Mac window that can be grabbed for a resize. Here is a tutorial page that covers this
Frankly, there's not much in Windows that I prefer over Mac OS X, but the ability to resize from any side or corner is definitely one of them!
You can also adjust the size of any window by clicking on its green button. This will resize the window to accommodate all content within it. It DOES NOT work like Windows' maximize button that expands whole-hog to the entire size of your display whether it needs it or not.
You may be interested in some online tutorials to get familiar with Mac OS X. There is additional info at the URL I referenced, above,
and I created a post elsewhere
that contains several resources for online tutorials. Many of them are free -- and many of them in Quicktime format!