This model's name: Balance Board 510.
It is manufactured by Merdel Co. for Carrom Co. <http://carrom.com>. Their products are sold by Inhome Games <http://www.inhomegames.com>.

The training blocks in the photo aren't part of the product.

The training blocks' wood is 1.5 inches square.

I don't know of any currently available rocker-roller balance board that comes with training blocks.

To get training blocks attached:

If you don't want to do the job yourself, look in the yellow pages for a woodworker, cabinetmaker, carpenter or lumber yard.

A different solution:

Even with training blocks, a rocker-roller board is too fast for some first-time riders' comfort and safety. A modification that would make the ride slower than training blocks do would be to line the front or back side of the roller's groove or the front or back side of the underside's rail with a layer of some kind of material– a layer thin enough of a material resistant enough to becoming torn or deformed that it would not cause jamming when the rider's lean is not straight to the left or straight to the right.

A model that came with training blocks:

A rocker-roller board that came with training blocks that slide on and slide off was manufactured by Pivit LLC <www.gopivit.com>. Clicking “Buy” at Pivit's website brought a web browser’s warning about that website’s security. All of my email and phone messages to Pivit in 2008 went unanswered. Every business I contacted whose website advertises the Pivit balance board says it is out of stock. Calling the phone number at Pivit's website reaches the office of a company that takes orders for Pivit's products, but those orders don't get filled (and the customer's credit card doesn't get charged). It seems likely that Pivit LLC is no longer doing business.