This was the week
I did my learning activity assignment, which consists of a 10-minute
presentation where you lead your peers through an activity you could do with
students and the different strategies for solving the problem. It went
surprisingly better than I thought it would; I had had nightmares about it the
night before, and usually presentations don’t faze me. This week’s theme was on
proportional reasoning and includes questions on ratio, rate, and percent.
Proportional reasoning can be a trick thing to teach students because it relies
on students being able to change the way they think from multiplicative to
additive thinking, and also relies on a firm understanding and snap knowledge
of multiplication, division, and factors. Considering how many students (and
adults!) rely on calculators to do even basic math, this can be a bit of a
challenge. But with the proper practise and scaffolding through the use of
charts, manipulatives and hundreds grids anything is possible.
Pythagoras and the Ratios book cover. Retrieved from http://www.amazon.com/Pythagoras-Ratios-A-Math-Adventure/dp/1570917760 |
I liked exploring
the different children’s books recommended at the end of the proportional
thinking chapter of Small’s Making Math
Meaningful. Pythagoras and the Ratios by Julie Ellis is a fun way to introduce
children to mathematical history and the idea of ratios. The book deals more
with ratios in musical chords than it does with other types of ratios, but I
think that’s still acceptable because it can show the student that math doesn’t
exist in a vacuum, but actually shows up in all parts of their life. Something
I’m learning through my placement is that it’s often hard for teachers to fit
everything they want to teach into a day, because activities inevitably almost
always take longer than estimated. That is why it’s a good idea to integrate
subjects as much as possible. Have students read about book about science or
math, that way you kill two birds with one stone.
The activity I
used in my ratio presentation had to do with adjusting recipes based on serving
size, but I brainstormed a couple other ideas I think students might find fun.
Having seen the movie Antman a few
months ago, it got me thinking about how an ant’s relative strength is much much higher compared to its mass than a
human’s strength is. It might be fun to learn about different animals and
ratios by finding other animals and insects with “superpowers” like the ants
and figuring out how that strength scales if that animal was the size of a
human. I haven’t fleshed out this idea though, so it may be too complicated to
put into practice in a classroom, we’ll see. This year is going to be full of trial and
error, but I don’t mind. No one ever learned anything doing the same thing
every day.
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