It appears to be Dr Vitolo's personal take on American business writing, which has many features in common with Palmer Method, but also with some earlier models. All these styles ultimately derive from Spencerian and were intended to be written rapidly whilst maintaining good legibility and consistency. There are many different textbooks to choose from in addition to the ones mentioned previously, and which one to go for is entirely a matter of personal taste. I like Henry Behrensmeyer's explicitly Spencerian flavoured style for its old-timey feel and elegance, but other people might prefer the breezier simplicity of Palmer or Mary Champion, say. Probably the easiest way to get a feel for the variants is to have a rummage around in the
rare books section at IAMPETH and apply the "business handwriting" filter.
Hmm ... actually, scratch that last bit. I just tried it and got peculiar results! Follow your nose - it should be fairly obvious which books are likely to be relevant from the full list.