- 2D spatial reasoning
- 3D spatial reasoning
- alternate number bases
- area problems
- consecutive numbers and other sequences
- counting problems
- factors and multiples
- finding and extending patterns
- graph theory
- number bond practice for young children
- place value
- practice with addition/subtraction
- practice with decimal arithmetic
- practice with multiplication
Wednesday, July 12, 2017
Saturday, January 14, 2017
The following is a little preview a wonderful new book about problem-solving. (See below for more information.)
Solution: Let's figure out the answer by eliminating the ones we know are wrong. Choice (A) can't be right because then both children would be wrong. Choice (B) can't be right because Juan would be wrong, and we can eliminate choice (C) because it would mean that Lashana were wrong. But if we have eliminated (A), (B), and (C), then all we have left is (D). How could it be right? Choice (D) could be right if there were 3 horses on one side and 4 on the other, so that MUST be true!
Now use what you have learned to solve this harder problem:
The problems and the techniques are from the book Avoid Hard Work! … And Other Encouraging Mathematical Problem-Solving Tips for the Young, the Very Young, and the Young at Heart by Maria Droujkova, James Tanton, and Yelena McManaman. For more information, see http://naturalmath.com/avoid-hard-work/.
Saturday, August 13, 2016
Tuesday, April 19, 2016
There are different ways to fill in the missing numbers on the trees, but importantly one thing is always the same. The numbers you end up with on the bottoms of the branches are always the prime factors of the number at the top. Think about the 40 tree for example. We can make a 40 tree in many different ways:
Notice that any way we construct the branches, we end up with 5, 2, 2, 2 at the bottom. The fact that we always end up with the same prime numbers, no matter how we factor a number is so important that it is called The Fundamental Theorem of Arithmetic.