I used to record my iPad mini with acethinker ipad screen recorder, not free, but it supports stream video. If you are stick with freeware, you can use Quicktime to record your iPad mini screen.
1. Plug in iPad to computer, launch QuickTime and select menu File->New Movie Recording.
2. On the right of the red circle record button on the video preview screen is a reversed ^ icon. Click on it for a drop down menu allowing you to choose the iPad as video source. That's all.