Well some of the videos look interesting but I don't agree with the title, what is recreational math?
It would be great if Maths could be made more interesting and students make their own unique discoveries etc. However as a former maths teacher I can tell you that structure exists for a reason.
In a class of maybe 30 students for one hour, the teacher can afford to give at best only 2 mins average time to each student. Some students may work very well independently, but others would take advantage of the freedom to mess about.
Even if the students were focused how is a teacher with so little time per student supposed to pick up a random piece of work and then decide if the child is doing something of worth.
The Maths curriculum needs to be rethought for the information age, but the solutions need to be practical.