Stripping away meaningfully deemed essence of the context in which things happen and delivering it in structured package without any sort of reference could be very Te ignoring way of thinking. Lots of mathematics books are full of this as those things strip away application at first glance but due to this representations carry the structured essence and only then can be transferred to new contexts.
So to me it looks like improving Te means that a person has to be more mindful of applications and how people apply their knowledge and logic.