Tag: CRA

CRA with percentages

I recently received a wonderful email from a mathematical leader at a local junior high school. She had two great questions, so I thought I’d turn my response into this short blog post. I separated her questions with my responses. Read onâ€¦ 1.) How do we connect the Concrete and Representational to the Abstract in […]

Using the Empty Number Line

When I teach new mathematical concepts to my students, I always try to use some sort of visual model to make the learning easier. No duh! But what I have noticed is that over the years I have collected an odd assortment of models to teach everything without any theme to all the models. The […]

Number Disks: A great way to visualize the operations

Recently, I have found myself vociferously advocating for more teachers to use number disks when teaching the four operations of whole numbers: addition, subtraction, multiplication, and division. Clearly my excitement for number disks has not yet rubbed off onto all the teachers I work with, because today I received the following question: Why are disks […]

Virtual Manipulatives in CPA

While nothing can adequately replace the REAL thing, virtual manipulatives play an essential role in a student’s journey towards developing a profound understanding of mathematics. That’s a bold claim! Let’s go a little deeper… You’ve heard of CPA? Concrete – Pictorial – Abstract. Sometimes it is referred to as CRA. (Concrete – Representational – Abstract) […]