A curriculum is needed

While there is a logical progression to math, because of it's very nature, a "curriculum" is completely unnecessary. On the contrary, it can disrupt the progression, by forcing certain concepts that a person could achieve an understanding of by another path, their own path.

There are certain concepts that must be understood to understand math. There are infinite paths to achieve that understanding.

You also can't teach science without first teaching the scientific method.

Since you are saying this as if it were in opposition to what I said, I suggest you didn't read what I wrote, since this is almost verbatim what I said.

Once you teach the scientific method (which takes an hour to teach, and a lifetime to master) you have done all the "curriculum" required.

One hour. Done. Now it's time to get creative.

A curriculum is needed

While there is a logical progression to math, because of it's very nature, a "curriculum" is completely unnecessary. On the contrary, it can disrupt the progression, by forcing certain concepts that a person could achieve an understanding of by another path, their own path.

There are certain concepts that must understood to understand math. There are infinite paths to achieve that understanding.

You also can't teach science without first teaching the scientific method.

Since you are saying this as if it were in opposition to what I said, I suggest you didn't read what I wrote, since this is almost verbatim what I said.

Once you teach the scientific method (which takes an hour to teach, and a lifetime to master) you have done all the "curriculum" required.

One hour. Done. Now it's time to get creative.