For those of us that teach elementary
school, we might have missed the celebration this week. No, I’m not talking about the NCAA play –in
games in Dayton Tuesday night. I’m talking
about the festivities on March 14th – otherwise known as National π (Pi) Day. You may remember from algebra that pi is the ratio between a circle’s
circumference and its diameter. It is
also a crucial part of many math equations.
For example, the area of a
circle is equivalent to pi times the radius squared. Pi is an irrational and never-ending number, but it is typically truncated to 3.14. And for the last several years, math teachers across the country have used March 14th (3-14) as a day to highlight the unusual number. It’s the upper grades version of One Hundredth Day.
circle is equivalent to pi times the radius squared. Pi is an irrational and never-ending number, but it is typically truncated to 3.14. And for the last several years, math teachers across the country have used March 14th (3-14) as a day to highlight the unusual number. It’s the upper grades version of One Hundredth Day.
As you may have guessed from my recent post about Groundhog Day, I have a special
affinity for goofy holidays. As far as I
am concerned, I am happy to use whatever resources I can to motivate students
to learn. So, Pi Day is right up my alley. Oh, the possibilities! A quick internet search uncovered a number of
sites that teachers could use to celebrate this unique number. There is the Exploratorium’s Pi Day website with live, online and Second
Life celebrations and another Pi Day website
that offers Happy Pi Day ecards you can send to your friends.
But if you teach ELLs, you can also use
this opportunity to explore the language of math. Often in my workshops, I write a short math
equation on the board. Then I ask participants to turn to their partner and
tell them several different ways to say that number sentence. After a minute or two, I ask for responses
and write them on the board. In honor of
Pi Day, let’s use the circled formula in the picture above. How do you say A=πr² ? Here are just a few of the possible
responses.
·
The area of circle is equivalent to pi
times the radius squared.
·
Area equals pi times the radius
squared.
·
Area is pi multiplied by the
radius squared.
·
You can find the area of a circle by multiplying
pi and the radius squared.
·
You get the area of a circle when you times
pi by the radius squared.
Each of these is a perfectly acceptable
way to express the math equation. Some
use more social language than others (e.g. you get, you can find, times) and
all of them use some specific and technical language of math (e.g. radius,
area, squared). As teachers of ELLs we
need to be conscious of our speech. We
need to be deliberate in what we say when we say it. If we use the statements above
interchangeably without highlighting the different terms, we may confuse our
ELLs unnecessarily. So, this week pay
attention to what you say in one of your classes. Do you say the same thing (e.g. 5-3=2) in
several ways? If so, take a few moments
to highlight the language for your students.
Teach them the language of math.
Let them know that “is equivalent to”, “equals” and “is” are ways to say
“=” and “times”, “multiplied by,” “multiplying” and “by” are different ways of
saying the same thing. After all, there
is a lot more to math than just numbers!
Written by: Tammy King
I love this example of how you get teachers talking about the way they talk about math. I might have to steal this idea for my own trainings, if that's okay? You should check out this site with excellent video examples of using frames for teaching the language of math: http://mathsentenceframes.wikispaces.com/Strategies+for+Developing+Effective+Sentence+Frames
ReplyDeleteCandis, feel free to use that mini-activity during your own trainings! If it is part of a slide presentation, please include the blog address (widaatwcer.blogspot.com) as the original source of the activity. Let me know how it goes. Also - thanks for the link!
DeleteGreat wording to say the area of a circle formula, and good inspiration, awareness words and explanation of circle constant pi, in relation with PI DAY.
ReplyDeleteSweet. This is just what I needed. I am a GCU student taking an ELL class studying to be a Math teacher. I am also a GED teacher and I have opportunity to use these strategies often. Thanx.
ReplyDeleteAnonymous,
DeleteGlad you liked this post! Check back often for new posts, tips and tricks for teaching ELLs.
Tammy King
WIDA Blogger
With proper credit given, is it okay to use this activity to help teachers understand how to unpack the academic language of math?
ReplyDeleteDeb,
DeleteAbsolutely! The blog posts are here to help you. Also, check out the post on Tips on Creating Content Area Word Walls. I included links to some great math word walls. Also, I recently posted a list of various blog posts that can be incorporated into PD. Let us know how the activity went.