Unit Coordination

An Excellent Math Program

I recently attended the Annual Conference of the National Council of Teachers of Mathematics (NCTM) in San Antonio and came away invigorated and hopeful about our children’s future in math education. The creativity and passion on exhibit within the many sessions and workshops was impressive. I had numerous conversations with awesome teachers that eagerly shared… Continue Reading

Translation

This week my team is together in San Antonio, TX at the NCTM National Conference (National Council of Teachers of Mathematics).  The conference provides teachers with a plethora of seminar choices and a variety of topics.   It is a great place for teachers to interact with other teachers from around the nation and exchange ideas… Continue Reading

Composite Units and Fractions

In my previous blog, I talked about a composite unit, what it is and how it plays an important role in many different aspects of students’ construction of mathematics. One of these areas is fractions. So how does the student’s ability to take a number as something that is countable affect their understanding of fractions?… Continue Reading

Intensive Quantity and Extensive Quantity

In discussing coordinating units as a way to understand multiplicative reasoning, it is not always evident that there are differences in multiplicative and additive reasoning. What I want to do is give some examples to help clarify the differences. Multiplication is often presented to children as repeated addition. But there is more. In math classes,… Continue Reading

An Update

Things are really hopping around the AIMS Center. Everyday becomes better than the last. I wake up and I’m challenged and excited by what I get to do during the day. As most people know, we really want to find a way to share what research tells us about children’s construction of number with classroom… Continue Reading

Composite Units

Counting-on is one of the things I have come across in Les Steffe’s research that is crucial, but not necessarily an obvious goal to have for students. It would seem that if a student could count-on (ex: given the problem 6+5, would start at six and count-on five more rather than starting from 1 and… Continue Reading

Toward Number: Hiding Counters

In my last blog, we discussed how the student needs time to imagine counters, or use something that can stand in the place of counters, so the child will gain enough experiences to make just the numeral meaningful. How can we encourage students to do this? Let’s imagine a child has the goal of figuring… Continue Reading

Reifying Math

In school mathematics, we spend a lot of time making math very formal, very sophisticated, and very unreachable for most people because it doesn’t feel real. Perhaps more time should be spent playing with math, exploring math, and making math real for everyone. In ancient times, people often did very sophisticated math problems, but they… Continue Reading