Early Math

Let the Math Shine Through

My youngest daughter is 2 ½ years old and she has yet to discover just how much her mother loves mathematics. The other day, as she worked on a puzzle of shapes, she held up one of the shapes and said, “diamond.” I wrinkled my nose as I corrected her with the correct term, “rhombus.”… Continue Reading

Count Anything and Everything

A few weeks ago, I was walking across campus and found myself counting the number of steps it had taken me to get from our office to the campus bookstore. After realizing what I had unconsciously done, I purposely counted my steps on my return trip to check for accuracy and, to my surprise, I… Continue Reading

Telling Stories

Our early math team has just finished up our work at several preschool sites for this school year and we’ve been reflecting on our experiences thus far. In conversations with teachers about what we’ve learned and how this experience has deepened our understanding of children’s mathematics, we’ve told lots of stories about particular children that… Continue Reading

What is Five?: Foster a Flexible Understanding of Number

What an opportunity I have here at the AIMS Center!  We have been afforded the time and resources to read mountains of research about how children come to understand number, replicate that research, and then begin designing mathematical learning opportunities that help children along while eliciting their mathematical thinking.  After a period of reflection upon… Continue Reading

I Fell In Love With The Gears

In my learning of constructivism and the theories of Piaget, I often think of this quote: “No one but you can make your associations, and no one but you can isolate your sound-image and whatever you conceptualize in your experiential field.”  (Von Glaserfield, 1995)  This quote is from a chapter on language and meaning, but… Continue Reading

Mathematizing ~ Counting Stories

Mathematizing defined by Allen Rosales is “the process of understanding math within the context of children’s daily lives”. Last weekend, while cleaning my garage, I came across three lesson plan books from when I taught Kindergarten and First grade. Why I hadn’t gotten rid of them earlier, I don’t know.  Rather than immediately tossing them… Continue Reading

Traveling Practices

Our work as learners, educators, and researchers takes us into spaces where we encounter new ideas, people, and experiences. We may enter schools, classrooms, faculty lounges, community centers, or other places of learning where we hope to better understand the patterns of interaction among individuals we meet. While our attention may be on what we… Continue Reading

The (Math) Things Kids Say

Children’s thoughts about mathematics are reflections of their experiences (Steffe, von Glasersfeld, Richards, & Cobb, 1983). Let’s take a look: In the AIMS blog, there has been a good bit of talk about the “mathematics of children” (Steffe, 1991).  This covers a lot of ground.  When we talk about the way that children construct math… Continue Reading