I'm homeschooling a six yr old.  I bought the singapore textbooks set, not the workbook.  This year he went through a couple of them (I assigned 1-3 pgs. day).   I put in "the great courses, mastering the fundementals of math".  He understood the first 2 discs.  He has been introduced to a lot of elementary school math outside of the assigned singapore textbook pages, from the great courses and from youtube videos like "turtlehead multiplication."
I just got some advice on enrichment and acceleration by compacting.  Instead of making him do a couple of pages of the textbook each school day I will go over the next item.  If he understands it I won't assign anything from the textbook, but half of the ip, and all of the ip word problems.   I have read that AOPS uses a discovery method, so I'm asking to make sure previewing these lessons a little won't take anything away from that method for later.


I learned that enrichment is not just giving him any old thing on top of his textbook.  Enrichment needs to be problem solving.  I bought the Borac series.  He has Beast Academy 3.  I was letting him use BA as a treat, about once a month for school.  I was informed that enrichment should be the main course.  He should do as much Borac and BA as he wants as an assignment, and compact singapore using ip until it gets to a challenging level.

I just started browsing aops youtube videos to show him. He liked the counting one where a guy used a cube and tried to get to point from point a in seven moves and couldn't, only in six moves it was possible. I guess my question is, it won't hurt anything to show him these videos if he's not completely understanding them, right? Instead of following the logic presented by the math tree, he spent a long time trying to do the block in seven moves, even though the guy just showed him mathmatically why it couldn't be done.


Youth lives by personality, age lives by calculation. -- Aristotle on a calendar