Unit Construction

Fingers as Math Tools

In my last blog, I reflected on my experience at the California Mathematics Council’s Southern Conference in Palm Springs and our presentation, “Don’t be Quick to Count On!”.  Referenced throughout the conference were the Mathematics Teaching Practices from NCTM.  One of these practices that resonates with the work of my team of research associates is,… Continue Reading

Imagination and Manipulatives

In my last blog I discussed the gap between using manipulatives and using numerals only as being a gap too large to traverse in one step. What then bridges the gap? Research that has been the focus of study at the AIMS Center suggests that the answer is to be found in the mathematical knowledge… Continue Reading

From Borat to The Lone Ranger

The latest results from international testing in mathematics have been released and results show the United States finished behind Kazakhstan. Now I don’t know much about Kazakhstan, except this is the country Borat hails from. I’m sure Kazakhstan is a beautiful country, but it doesn’t jump out with me as a math powerhouse. What does… Continue Reading

Rich Questions

This month kicked off with a bang! It started with a trip to the beautiful Monterey Peninsula for the California Mathematics Council (CMC), North Section – Asilomar Conference 2016. If you have not been before, switch over to your calendar right now and mark off the first weekend of December for the conference. Then you… Continue Reading

Sparks in the Desert – A Beginning Conversation on Counting On – Part 2

Are there any dangers in training your students in the “strategy” of counting-on? After reading Dr. Les Steffe’s work, I would argue it is harmful. He calls counting-on a non-teachable scheme.  This means that if you want counting-on to be meaningful for students you can present situations that would promote their construction of counting-on, but… Continue Reading

Sparks in the Desert: A Beginning Conversation on “Counting-On” – Part 1

 I had the opportunity to attend my first California Mathematics Council, Southern conference, in Palm Springs. The title of this year’s conference was “Sparking Deeper Understanding.” I headed out early the first morning of the conference with my notebook in hand, not really knowing what to expect. I have attended other conferences for different content… Continue Reading