Published February 2011.
I liked it because the problem made me think harder
than I have in a Maths lesson this year!
It's something different to just writing out sums in
I liked it because it was hard.
I enjoyed doing a problem that was
I like the problem because it was very
I liked it because you get 36 or 38 so you get
determined to get 37.
Yes, as soon as I started I knew I wanted to finish it.
I liked thinking about it.
The maths problem was very frustrating and I enjoyed
it. It was fun because you learnt how odd and even numbers
Working in silence; having longer thinking time at the
Talking to more than one person.
A number line.
Think about odd numbers and even numbers.
Think of what happens if you add 2 odd numbers
Think and see if you can get up to thirty with seven
I was more trying to add together than looking at the
I don't really like doing maths problems and it was
impossible to do which made it worse.
Being an impossible problem there is no point in doing
it because it is pointless sitting there for ages
Was quite annoying when you found out it was
I love maths and enjoy it very much u gave me that
problem to work out and I could't so I was enoyed, but then u tell
me its impossible its such a waste of time and effort and Im very
A clue to point in the direction of
There is no answer.
Don't think it can definitely be done.
U can't do it.
Telling me it was impossible might!!
odd + odd = even
Spend a few minutes "playing with the problem", trying
Have you kept a record of the totals
What do you notice about your totals?
What can you say about these types of
Can you make 37 with a different number of numbers? How
Can you explain why?
If we imagine learners and mathematics as separated by
a gap, and the teacher's job as bringing the two together, then we
are talking about the difference between adapting the mathematics
so that it can be more easily taken into the world of the learner,
and adapting the habits of the learner and classroom so that the
learner may be taken more easily into the world of
Don't expect to know what to
Try the problem, get your
hands dirty... work in rough... talk to someone...
Would making a sketch, a
drawing, a table, some notes help?
All the time think,
explore... do you notice anything?... any patterns?
Then, step back from the
Really stuck? There are
Talk to others about what
you have done and found out.
In the Fibonnaci sequence
each term is the sum of the two terms before it:
1, 1, 2, 3, 5, 8, 13, 21,
34, 55, 89, 144...
Where do the even numbers
come in the sequence?
Is there a pattern?
You can discuss how you are
getting on with the problems, and give each other hints, BUT DON'T
GIVE AWAY THE ANSWERS!
If you want to check your
solution agrees with someone else, you can post it in white "ink".
That way, people still working on the problem won't see it, but
those who want to can see it by selecting that bit of