If I were to rewrite this book based on math misconceptions I've heard from my students in the first 5 weeks of 7th grade I would include the following:
You cannot take a large amount from a smaller amount.
A negative plus a negative ALWAYS equals a positive.
When adding 36 + 47, 6+7 and 3+6.
Adding means a number gets bigger, subtraction means a number gets smaller.
When you add on a number line you ALWAYS go to the right. When you subtract on a number line you ALWAYS go to the left.
And the one that takes the cake for me: when discussing absolute, the number comes out of jail and is positive. UGH!!
Rules can expire and tricks cannot be applied in various problematic situations. So is it truly worth the price students have to pay in misunderstandings?