Unit Coordination

Manipulatives as Thinking Tools

As the school year winds down, at the AIMS Center we too are wrapping up our work with students.  The tasks we asked second and third graders to engage in this year had students working with various manipulatives (cubes, blocks, bags, strips, etc). This made me think about Math Practice 5: Use appropriate tools strategically.… Continue Reading

The CASTE System in Math

Teaching middle school I often had students who still used their fingers to find the difference between 12 and 7. They would start with 7 and then count 8, 9, 10, 11, 12 while putting up fingers each time they would say a number. When we worked with integers and subtraction the idea that positive… Continue Reading

The Perks of Mistakes

I want to tell you about a boy that we call Greg. If you’re a teacher, you’ve likely had a Greg in your class before. He’s the one that fascinates you because he thinks so deeply, is so curious, and seems to already know everything you’re trying to “teach” him. He’s also the one that… Continue Reading

Cotton Balls and Place Value

It is important to remember that when we engage students in experiences meant to help them build meaning behind math concepts, what might appear to be happening may or may not be actually happening. Let me explain. Place value is one of the times in math when understanding what the concepts represent requires more than… Continue Reading

I Almost Missed It

If you read the previous posts from the Coordinating Units team here at AIMS, you likely know that we are studying how children learn about fractions. Earlier this week I realized that I almost missed something amazing and encouraging about how much our students are actually learning. The tasks we are using with them are… Continue Reading

Teaching Children Fractions

“Fractions. Ugh! I’ve never been good with fractions.” I can’t count how many times I’ve heard this statement. Every teacher knows that working with fractions is an area where many kids struggle. As a middle school teacher, I saw these struggles and how they can lead to further struggles in math. In fact, mastery of… Continue Reading

What comes after 3?

During a recent professional learning day, I sat in a circle with my co-workers and counted. By “counted,” I mean that we spoke number words in a standard order, not that we physically counted objects. In succession, we spoke the number word that came immediately after the one previously spoken. If anyone made a mistake… Continue Reading