Cambridge has a new grammar series called Grammar and Beyond out/in the works. I got a review copy of the level 2 book by Randi Reppen. I first noticed it at the TESL Ontario conference in October and was interested in it because it's the first grammar series for English language learners I've noticed that employs the concept of determiner (please tell me in the comments if you know of others).
Unfortunately, they make a hash of it.
Let's start with the shocking mismatch between the level of grammar and vocabulary knowledge needed to read and understand the text and the level of knowledge that is being conveyed. Anybody who can understand "singular count nouns always have a determiner before them" (p. 82) already knows as much. There is no point in telling them that they should "not use a or an with plural nouns." The people who need to know this won't even be able to read the chapter with its introductory reading which begins, "identity theft is the act of using someone's personal information without permission." I mean, come on! Permission is ranked as lemma #3,254 in Mark Davies' new Word and Phrase Info corpus interface. The indefinite article is #5. For most language learners, that represents a gap of over a year between when they figured out what a means and what permission means. This problem of explaining English grammar in English to people who don't speak much English is a difficult one, but there is no excuse for completely ignoring the issue.