I'm with Albert on this one

'Do an example' is fine in a lot of ways, but I think subconsciously I will always find another verb to use to avoid using it, though it sounds fine in joe's context, but it's not really my taste? (BE Einstein, we seem to agree here)
What about to try some more examples? and to think of another example?
Exactly! This is what I would probably use without thinking, another way to express it,
In any case, we need to establish that 'make an example' is quite strange and not preferable to the other ways we can explain it.
With 'example' I'd use
do/
try/
go through/
give/
think of/
look at ...
When explaining a concept, and introducing a new example (like we all do lots on here when explaining concepts) I would nearly always use give... (
Right, now I'll give you another example ['let's look at / let's go through' fine as well]) though this 'give' doesn't always work, like when you 'go through' or 'look at (analyse)' I guess they can be used always with 'example' and maybe these are probably the best things to teach...
If we look at a few more examples
If we do a few more examples
If we have a look at a few more examples
Can we look at a few more examples Miss?
I want Martin to come and go through some examples with me
I think we should look at some more examples
Yeah, I think those options work well
