A friend of mine stresses about unschooling - he stresses about homeschooling in general, but unschooling puts him over the edge.
We had a discussion one day about how unschooled kids would learn their multiplication tables and how vitally important it is to actually memorize them. I started laughing because I have *never* memorized my multiplication tables. Sure, I can *do* all of the multiplication and, if asked to recite them in the table form, I could do it, but I can't just ramble them off as a memorized "fact".
"Isn't what I can do more effective?", I asked him. No. According to him, it's the memorization that needs to happen. Never mind that I can figure out the answer to a multiplication problem in my mind quickly and correctly using math "tricks" and shortcuts. I should be able to ramble the facts off in order and at great speed.
I saw this posted on one of my unschooling lists recently. The question had come up - again - about multiplication tables and at what age your child should learn them. My favorite answer to almost any unschooling question was given (your child can learn anything they need to quickly and efficiently when they have the motivation) along with an example of how many facts they actually have to learn when learning the multiplication table.
"If your 15-year-old still didn't have the times tables memorized, but
then got a part-time job that somehow required those math skills, do
you not trust that she would at that point take it upon herself to
learn them, and would subsquentially become more and more versed in
them as she used them in the everyday life of her job?
I see people fret more about times tables that almost anything else
when it comes to math. Really though, if you're motivated and have a
need to do so, it would not take that long for most people to
memorize them--certainly not years, or even months or weeks! Look:
there 100 facts in the 10x10 table, but only 55 unique ones thanks to
twin facts/commutative property, minus 19 for the 1's and 10's which
are cake, minus 8 more if you know your doubles, minus 7 more if you
can count by 5s...that only leaves 21 facts to memorize. Learn the 9
trick and you're down to only 15. Only 15 facts to learn at age 15,
so that you can do your job well and earn money to save up for
a car or a Wii or whatever...what teen wouldn't be able to pull that
off?"