Unlike any other year that I've taught math, my students really struggled with finding a method that worked for them.
Some of this can be blamed on Common Core, I am sure.
Whereas we used to teach one tried and true way to do a division problem (now called "digit by digit," but some of us may know it by its other name, Does McDonalds Sell Cheese Burgers Rare?), students now need to have exposure to dividing a variety of ways, especially those based on place value.
We have been working on long division for four weeks. In the beginning, I'm sure my students thought I was trying to torture them. Complaints and whining ("This is hard...") brought about my need to introduce the word "yet" into our classroom vocabulary. (See this post for more information on how the word "yet" transformed our thinking.)
Every day was painful...for all of us.
Being a writing person, I decided it would be a good idea to have my students get their worries and concerns down on paper so we could discuss and address them. I had them write me a letter telling me:
1. What they knew about division.
2. What their concerns, confusions and worries were in regards to division.
3. Anything else they wanted me to know about their thoughts about division.
I collected these letters and kept them in their writing Treasure Chests.
Fast forward three weeks...Lots of practice, lots of collaboration, lots of reassurance, lots of perseverance, lots of the word "yet."
We are now getting ready to take our division test. The mood and attitude toward division has changed DRAMATICALLY in my classroom. There is confidence and composure and dare I say it -- excitement -- for division.
Today I had the students write me another letter telling me:
1. What they knew about division.
2. What their concerns, confusions and worries were in regards to division.
3. If they felt they were ready for the test, giving evidence to support their thinking.
Here are a sample of their letters. Each picture shows the before and after letters for the same students:
Reading their "after" letters today brought me such joy! There was a definite change in the tone of the letters.
I shared the before and after letters with the students and we talked about why there was a difference in the letters. They told me that perseverance, patience, and hard work helped them understand.
One of the best parts of these letters is that now my students have them as a part of their memory. The next time we do something hard in class (say...fractions), we can recall the before and after letters of division as proof that we WILL make it through, as long as we work hard and understand that even though we may not get it "yet," we WILL.
