I would like to offer you the shortest way to learn playing firm staccato up and down
The best way to teach it is personally but now I can teach it on skype as well.
The biggest problem is that when the violinist plays firm staccato the muscles of the right hand become convulsed and uncontrollable especially on the down-bow. So I found the special method how to relax right hand to make its muscles work in cooperation so that one group of muscles smoothly turns to another one.
When I started playing the violin, my first teacher told me: “Firm staccato is one of the most difficult strokes and you need to have a special talent which I see you don’t have. In my opinion there is no chance for you to play it well.” I was really sad. And I stopped practicing it. But when I studied in well-known Novosibirsk State Conservatoire, I understood that firm staccato was very important for every violinist, and I couldn’t play virtuoso compositions of composers like Paganini, Wieniawski, Vieuxtemps, etc. without this stroke. That is why I decided to learn it in spite of the theory that I needed a special talent.
I used a traditional method of learning a firm staccato like heavy firm staccato of Spohr and firm staccato of Wieniawski which require maximum muscle tension of the right hand. I practiced a lot, but it did not work. My firm staccato was not rhythmic; I could not control staccato’s speed and quality. But I wanted to learn it so much, so I decided to look for some method different from the traditional one. It was very difficult but I found it. I developed my own method of learning to play firm staccato. It helped me to master the stroke and so I decided to teach it to all my students.