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

3. What Are The Different Ways to Solve a Word Problem?
There are only two
ways in which word problems can be solved.
Models You have already seen one way to solve word problems – in
the examples on the previous page Trixie
used physical materials (blocks in one case, rocks in the other) to
make models of the problems. She solved the problems by manipulating
the materials and counting.
Shortcuts Shortcuts are logical, reasoned arguments that solve word problems without physical models and/or without onebyone counting.
These arguments can be very simple. Here Rose represents the legs on 4 lambs using only 8 fingers  not 16.
The arguments can be more complex. Here Eva had 23 snakes. When 5 of them slithered away she used her ability to reason about the situation to figure out how many would be left.
And shortcuts can be even more complex as you will see in the example of "short division" on the next page.