Why Long Division Makes No Sense
One of my favorite humor bloggers is Allie Brosh, author of Hyperbole and a Half. I’ve been catching up on reading her posts lately, and this one caught my eye tonight: Hyperbole and a Half: Long Division Isn't Real. (If you visit the link, just be forewarned that she uses the f-word once in her post.)
This is how she describes her mom’s attempt to teach her long division in fourth grade, the year Allie was homeschooled. (Her actual post contains an awesome drawing about it too, so visit it if you can):
My mom was like "First, you draw a line with a little hang-y tail! Then you write the big number inside the little half-box. Then you write the little number on the outside! Now, divide the the little number into the littlest part of the big number that is at least as big as the little number. It probably won't fit exactly, but that's okay. Figure out how many times it fits all the way and write that number on top of the box. Now, write the number that the little number does fit into underneath the number that it doesn't fit into and subtract them. Then draw a line. Then write your answer under the line. Then bring the next number in the big number down next to the number you just wrote. Then hop on one foot and punch yourself in the face while singing Twinkle, Twinkle Little Star... "
Does that sound familiar?
That’s the pitfall of trying to teach the “how” of long division before the student understands the concept.
Teaching students division the Singapore way - by starting with place value disks and understanding what division is, working with the concept, and gradually connecting it with the algorithm, along with learning alternative ways of dividing - has been a life (mind?) saver for my students learning to divide.
Do you have a story about long division?
NaNoWriMo Begins!
Yesterday was the first day of NaNoWriMo, and it began with a bang. My group has seven bright, eager children in it, and we all dove in to our writing projects yesterday.
Prior to that, we had a couple of meetings in which we worked on character development, understanding what plot is, setting expectations, and deciding on word count goals. I think my students from previous years underestimated their abilities yet again, if yesterday was any measure; they seem to grow their ability to write fluently almost exponentially each year. I’m impressed.
Even more impressive, one of our new members, a second grader, outstripped everyone in word count during a word war or two. This was the same little girl who couldn’t even get started at first. She was so excited and proud by the time her mother came to pick her up.
Like every year, I write alongside the students, and we all share excerpts from our writing in progress. Last year, however, I was writing a children’s book, while this year I’m writing an adult thriller. This means my word count will need to be higher, and I won’t be able to share all of it with the children. I’m also less enthusiastic about the subject matter; it was a plot idea that came to me months ago, and it’s just not as alive in me now. I started without any idea of characters, settings, or even specific plot ideas, so it was really stretching to get anything down.
On the bright side, though, I did reach over 1,700 words last night, the minimum to accomplish 50,000 words in a month, and the story wheels started spinning in the shower this morning. So maybe it will take on a life of its own yet again.
The write-ins are such motivators to get the ball rolling that I’m glad we held a meeting this Monday. We will meet again on Friday for those who want to get together. Be in touch if you’d like to join - it’s not too late!
Video: Singapore Math Training for Parents
If you are a parent who is interested in how Singapore Math works, but you don’t have time to attend a training session or do a lot of reading about it, here is a resource for you. This school recorded a session in which their parents were taught how this program works and how to support their children. Part 1 of the videos is here; click the video to go to Youtube to view the other parts.

