Goals  Part 3
My
goals in helping children with arithmetic are simple. I want them

3. What Are The Different Ways to Solve Word Problems?*
Putting aside, for now, a lot of details, there are only two
ways in which a word problem can be solved.
MODELS You can represent the problem with physical materials that you
manipulate and count onebyone. Here
Trixie uses blocks to represent chickens.
SHORTCUTS Shortcuts are logical, reasoned arguments that solve word problems without physical models and/or without onebyone counting.
These arguments can be very simple or rather complex.
 Simple: Here Rose represents the legs on 4 lambs using only 8 fingers  not 16.
 Complex: Here a student makes a very sophisticated argument to find 63  25.
*And, eventually, the equations that represent them.