The
scenario may be familiar to you. Your child is working on his math
homework but he has been stuck on the same problem forever. What’s
worse, the math problem is one that you know he knows how to do but he
just can’t seem to come up with the answer. And so he sits at his desk
seemingly thinking about everything but math. As frustrating as this
is to you, I can guarantee your student is equally frustrated.
The
problem isn’t laziness and the problem isn’t lack of discipline. The
problem could very well be the way your learner’s brain is wired.
While
some students think convergently, which in our scenario is the ability
to take all the small pieces of a math problem and funnel them down into
one precise answer, our student mentioned above is probably a divergent
thinker. Instead of putting the small pieces together, he gets caught
up in examining all the options of the pieces, and seeing how many small
pieces the small pieces contain.
If we were inside the head of a convergent thinker it might sound something like this:
4 X 3 = 12
While the same problem in the mind of a divergent thinker might sound something like this:
4
X 3 … is the same as 3 X 4… and probably the same as 3 X 2 X 2,
which reminds me of two by two which reminds me of Noah’s ark which
makes me wonder when it rained last or when it will rain next. I wonder
what the weather is doing right now.
This process will continue until the student discovers a cure for
cancer or until he is called out for daydreaming. Unfortunately, the
latter is more likely, making the former more and more difficult.
But
the truth is, these divergent thinkers could change the world. That is
if they are not constantly told that their strength is a weakness, and
their talent will trip them up.
Ironically,
after a learner graduates from a traditional school setting, it is
likely that the powers that be will have extinguished any divergent
thinking flame, simply because it’s more convenient… for the powers that
be, that is. But upon graduation, as the learner is pouring through
want ads, looking for the perfect job, they will find that divergent
thinkers are increasingly sought after in the real world. Frustrating
to say the least!
So, the question becomes how
can we capitalize on divergent thinking skills and still teach math
without ending up learning about the weather every time.. Simply change
the types of questions you ask. For instance, instead of asking what 3
X 4 equals, ask how many different ways can we arrive at the number
12. Really, this works in any subject. Just ask open questions where
there can be more than one answer. Then watch genius ensue.
But
don’t be surprised if you take a few rabbit trails on your learning
journey. And don’t discount them. The rabbit trails may not be what
you are teaching at the moment, but they are where the most monumental
discoveries can be made.
~~Melanie Walenciak