SwiftKey does what you're looking for.

I am torn on whether or not I like that, however. Sometimes the word that is predicted will be the root of the word I am looking for, say predicting, for example. I start typing and predict comes up. On the stock keyboard I select it and type ing, but if the space is added, I have to backspace first.

 

the google keyboard also adds the space to the backside of the word. https://play.google.com/store/apps/details?id=com.google.android.inputmethod.latin&feature=nav_result#?t=W251bGwsMSwxLDMsImNvbS5nb29nbGUuYW5kcm9pZC5pbnB1dG1ldGhvZC5sYXRpbiJd

 

Glad swiftkey is working out for you. It certainly has a large fan base.

Just a point of clarification for others who might come across this thread, the google keyboard is NOT the stock (default) android keyboard.