# Unit Construction

### Do Teachers Really Teach?

Picture a beach along California’s beautiful coast with sand, sun, and a light breeze. Waves crash with regularity. Now imagine that one particular wave comes higher up the beach and splashes into a collection of driftwood. The effect of the wave on the wood depends on the wood’s weight, shape, and size. In short, the… Continue Reading

### The Power of Imagination in Mathematics (Part 2)

My previous blog post dealt with how the power of imagination in object experiences helps children be able to form units to be counted. This time, we will take a look at how the power of imagination in counting helps children be able to form an abstract concept of number. Constructing a Counting Sequence Once… Continue Reading

Today I want to reflect a little about my struggles with grades, students’ conceptual understanding, and students’ disposition towards math. In my last post, I talked about how I used a bulletin board with an ocean scene and fish number stories to engage my students in meaningful experiences around addition. Students were connecting the addition… Continue Reading

### Meet Stef the Moose

Stef was born out of the desire to put Steffe in every classroom. After several conversations with Dr. Leslie Steffe (the originator of much of the research we study at AIMS and longtime researcher at the University of Georgia), the AIMS Research Associates brainstormed ways to encourage children to see the math in their world.… Continue Reading

### A Town, A Pig, and an Important Lesson

It is time for a story about a pig. It’s a true story, and while I have laughed a lot about it since it happened, there are important lessons to learn from it. My purpose in sharing the story is to also share one of those lessons, and how it is important to us at… Continue Reading

### The Power of Imagination in Mathematics

I have been reading and thinking a lot about the power of imagination in learning — specifically, learning mathematics. In this and successive blog posts, I will discuss one role imagination plays in helping children form number sense. Merriam-Webster’s definition for imagine: “to form a mental image of (something not present),” is what I mean… Continue Reading

When I taught middle school, I always found it interesting that my students could do this task: Johnny rode 34 miles on Tuesday and on Wednesday he rode 27 miles. How far did he ride over the two days? Yet they often had no idea what to do when I gave them this task: Johnny… Continue Reading

### Measuring or Counting?

My last blog post focused on the calendar that I have been using in kindergarten. This week, I want to focus on what students are doing during our math center time. I am running a two-center a-day rotation, making it possible for me to work with two groups of six students for 13 minutes each.… Continue Reading

### Permission to Fail

I wrote a blog post at the beginning of the school year talking about our plans for research this semester. I’ve been reflecting on our project and the progress we have made so far, and I thought I would share a few of those reflections with you. As I mentioned previously, we have been working… Continue Reading

### Christian (Part 3)

In the August and September installments of my blog, I’ve been telling the story of Christian and our mathematical interactions with him. Christian is a second grader who came to us with mathematical skills that had been taught through his first years of schooling. He was bright, eager to work with us, and considered, by… Continue Reading