Continental knitting is holding the working yarn in your left hand.
English knitting is holding the working yarn in your right hand.
Combination knitters can be either continental or english. It's the stitch that is different. Knitting through the back loop creates a twisted stitch so "normal" knitting is knitting is through the front loop. There's nothing wrong with combination knitting you just have to learn how to do things differently and it'll cause some issues with patterns like you're having, but it can be done.
There is a PDF here that explains how to change some of the knitting issues in combination knitting. According the chart you'd knit through the front loop to twist the stitch.