# Three things I’m loving this week.

September is off to a great start.  Here are some highlights from my week:

1. This activity:

I love that this task is accessible and challenging to different level learners.  Students who didn’t know their multiplication facts used drawing and square tiles to help them figure out the dimensions. Higher level students were able to tackle part C.

After watching Annie Fetter’s webinar about Math Forum’s Problems of the Week, I am hooked. Not only is it a great source of interesting tasks, the teacher resources for engaging students in solving problems are awesome!

3. Mystery number

Kids love solving puzzles.  At the start of the week, each student in the class picked a favorite number. Every day when the students entered the class, they listed different facts about their number. The day I visited they were working on factors. A student would share the factors for his or her mystery number and the class would have to guess the mystery number. I’ve never seen kids so excited about factors.

Unrelated to work, I am loving training in this fall weather for my next half-marathon. I am also loving that is pumpkin spice latte season (even though I’m a little sad to see iced coffee season leave)  What about you? What are you loving this week?

# Setting Routines that Build Number Sense

This was the first full week of school in New York City! As a result, I’ve spent a lot of time talking with teachers about routines. Veteran teachers know the importance of setting routines and new teachers quickly learn that without routines, the best planned lessons quickly fall apart.

While routines for classroom management are super important, they aren’t what I want to talk about. I’m more interested in setting routines that help develop mathematical thinking– especially number sense.

Counting circles are a perfect example of such a routine. Once you set the routine, the counting circle can be used in many different ways and in many different grades to develop number sense. I learned all about them from the one and only Sadie. Definitely read her post to learn more. I also highly recommend reading more about them in Number Sense Routines even if you don’t teach K-3.

The other book I’ve been loving is High Yield Routines. It’s an easy read and I got a lot of great ideas from it. Here’s one I’ve been playing with.

Today’s Number  Students are given a carefully chosen number and asked to list everything they know about it. Students then generate different representations of the number–drawings, equations, examples. Through discussion about the different representations, student can be pushed to think about different ways to decompose and recompose today’s number.

What I love about this is that it can be easily adapted to different grades. Today’s Number can be a whole number, a fraction, decimal, a negative number, an irrational number and so on… In addition, students can access the task at whatever level they are at. Some may have only one representation, others may have many that they can begin to compare and contrast.

For me, this would work well as a Do Now. Maybe I would do it once a week or maybe more at the beginning or the year. It can also be used as part of your homework and the discussion can take place at the start of class. I also think it might be neat to share with parents as an activity they can do at home with their kids. However you use it, I think it’s a great routine to start at the beginning of the year and track how students’ number sense builds throughout the year.

I’d love to know what you think.

What routines do you use that help students build number sense?