The feature can be turned off, fortunately.
In Excel 2013, (for Excel 2010, which you have, see below) File > Options > Advanced > uncheck "Enable fill handle and cell drag-and-drop". If you don't need to use those features and are OK with unchecking that checkbox, then this solution will work for you.
In Excel 2010,
"1. Go to File > Options > Advanced > Enable file handle and cell drag-and-drop
- Check this box.
- Click OK and you’re done" (source: http://reviewofweb.com/how-to/enable-cell-drag-and-drop-excel-2010/)
I tested this solution in Excel 2013 and it works immediately after unchecking the box and saving. The change that you see is that with the checkbox checked, and with a cell selected, the "plus sign" cursor converts to a four-arrow cursor (arrows that have ends in center and each point along axis -- i.e. up, down, left, and right). With the checkbox off, that arrow cursor never appears. Also, of course, if you double-click the selected cell edge, you are not navigated to the bottom of your section, automatically.
Source for looking at this checkbox in the first place: rhapsodie's comment in: http://ask.metafilter.com/55958/Excel-mindless-list-jumping
