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Carolyn,
My S used this method in prepping for the ACT. He is the opposite of your D in that M is his strongest and English is his weakest strength.
He used exactly the method you described, the most important part being understanding why you marked a particular answer wrong.
One additional step that he used was to go over the English section with an adult (me!). We would go over his wrong answers out loud and speak the sentences. This was very important for him to discern which answers were wrong and what areas to watch out for. I know that this sounds elementary but reading the passages out loud seemed to be a very important part of understanding what the test was looking for.
His improvement was great. He improved his PLAN score 11 points. I think that he had a bad day but still. He took a sample timed test before he prepped and improved his English score by 3 points.
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