"Can you make things disappear?" asked Milo excitedly.
"Why certainly," said the Mathemagician, striding over to the easel. "Just step a little closer and watch carefully."
After demonstrating that there was nothing up his sleeves, in his hat, or behind his back, he quickly wrote:
4 + 9 - 2
× 16 + 1 ÷ 3
× 6 - 67 + 8
× 2 - 3 + 26 - 1 ÷
34 + 3 ÷ 7 + 2 - 5 =
Then he looked up expectantly.
When working in teams on this problem, students had some of the most incredible mathematical conversations I've listened in on and participated in all year. We talked about whether or not the order in which we worked through the steps matters. We looked at ways we could split up large numbers to make challenging tasks (such as dividing by 34!) more accessible. One group drew 34 circles and started to distribute 612 dots evenly in the circles until they realized that they'd simply have to find a more efficient way. "What if we put 10 at a time in each circle?"
In another situation I loved overhearing, "Can we just double what we already did instead of doing it all over again?" (yes... yes you can, my friend!)
We've been discussing how strong readers live lives in which reading matters by asking ourselves, "What's working for me and what's not working for me?" That way we can understand what should happen in order to make our reading lives the best they can be. We've timelined the highest highs and the lowest lows of our experiences with reading to mine those moments for useful clues.
Here are some great, reflective excerpts from the students' reading journals:
"My reading muscles are MUCH stronger at school than at home because I never want to read at home. When I get home I really want to run around because we sit a lot at school. When I'm bored at home reading really gives me something to do. When I read at home because I'm bored the story gives me ideas for fun games to play."
"To make reading the best it can be I should find books that make me feel proud, but are not too hard."
"I like to read comics or other series in my bed before bed or on the couch. School is better for "Just Right" books."
"Sometimes I lose my focus and daydream about being in my book but I think that's maybe OK."
"I get a headache when I read too long and get tired. It feels the same as looking at a screen for a long time."
"To make reading the best it can be I should read books that are worthy of my time. I think personally that really really really long books are 80% bad writing. They spend all that time writing when it's not even a good book!"
"I hated when my mom forced me to read a book that I didn't like. This makes me think that to make reading the best it can be I should pick my own books when we go to the library."
"I like to read at home way more because I can read wherever I want to in my house. When I read for too long I get tired and when I get tired I can't focus and my mind goes to other things. This makes me think that to make reading the best it can be I should take a break when I get tired of reading."
"I can read more pages in 20 minutes at school because everyone reads and it's very quiet. I usually don't lose focus when I read at school, but if I do it's hard to get my focus back again."
"My reading muscles are stronger at school than at home because I'm more focused in school. I don't know how to do that at home."
"It was awesome when I read Harry Potter. This makes me think that to make reading the best it can be I should read books that are adventures."
Excellent meeting facilitation, Will! Some students brought forward the idea of bringing our pets to school and the discussion that followed was very thoughtful and very passionate. What about smaller pets? Is it really reasonable to have a bunch of dogs running around the classroom? Hmmm. What about our students who are afraid of dogs? After much empathetic listening and compromise, the students decided that it would make more sense to bring in pictures and videos of their pets to share. And students who don't have pets could select a funny or cute video from the internet to share.
Making mold and cast fossils:
Sorting pictures of different fossils into categories based on how they most likely formed:
Here students are assembling bones into complete skeletons. Just like paleontologists, they don't know what they've found or what the complete skeleton should look like. They're basing their ideas on the four main skeleton types that we can see in the world today: mammal, fish, bird, and reptile.