My six-year old daughter was given this maths problem for her homework:
Given a regular square grid of 4 × 4 dots, how many different triangles with one dot in the middle can you draw?
We were given no additional information other than that stated in the page.
Faced with this, my immediate conclusion was that there was no way of answering the question. Not enough information is given to create a clear problem statement.
For example it is not stated whether we are limited to equilateral triangles or can use different kinds of triangles. It is also not obvious as to what "different" means in this context: are mirror images and other transpositions of the same triangle on the grid "different" or not.
Because the sample used an equilateral triangle, we followed that and presumed that transpositions were allowed. Now we see the solution, that's not what was required.
It seems to me this sort of issue is going to cause confusion for children rather than foster good understanding of maths. Is that correct? Is it fair of me to complain to the teacher that it's a poorly set problem?
Note, here is a solutions page discussing what other groups did to approach the problem.