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Most of these new theories are taught, first, to a select group of students-in my case, a university lab school where you had to be in the top 10% of your class to even take the entrance exam. THEN they teach practically one on one--and almost any method will work that way! New Math was a nightmare and when I started teaching school, I went back to the basics. That being said, when I found kids who couldn't figure the basics out the textbook way, I used some the techniques described here (actually went them one better in creating 100s charts color coded so that kids could see the patterns in multiplication tables-great for right-brained kiddos).
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