When my wife and I moved our family to NYC from Vancouver, we knew that we would have to get used to many changes, we just did not know how large some of those those changes would be. We started our planning in January because we knew that finding an affordable place to live and […]

## Monthly Archives: September 2013

### Experimenting with random walks

Based on this image created by Matt Henderson, I decided to write something for myself that would explore other possible random walks, although mine are generated in a slightly different way than what Matt did. Pi Phi e Root 2 Root 3 One seventh Each of these images (which will only appear in Chrome, Safari […]

### Ways to use technology in math class

Here are some ways you can use technology in your math class which are more interesting and innovative than using an interactive white board or having students watch instructional videos. Note that these ideas are all examples of potential student uses of technology. Students could: Record video tutorials: Instead of students digesting tutorials created by […]

### There are no aha moments

If we understand learning to be the developing of neural connections in the brain, then necessarily there cannot be true aha moments (or more accurately, every moment is an aha moment). Lets suppose that a child has a (flawed) model of how something works. Each time they are presented with information, they build new connections […]

### How do you help develop mathematical curiosity?

A recent New York Times article talks about how to fall in love with math. Related to this issue is how to develop mathematical curiousity in your students as a math teacher. In no particular order, these are some of my suggestions. Build a strong positive relationship with your students. They will follow you farther […]

### The Teaching Gap

In the fall of 1994, after several months of watching tapes, the project staff met to present some preliminary impressions and interpretations. We invited distinguished researchers and educators from Germany, Japan, and the United States to attend, and we listened intently to what they had to say. We were ready for a fresh perspective. It […]

### Balance puzzle

I created a new puzzle, based on something I played with when I was at the New York Hall of Science. The idea of the puzzle is that given three numbers, you are trying to balance both sides of the equation, with the constraint that different positions on each side of the equation are worth […]

### What is developmentally appropriate?

(This is my son learning how to program in Turtle Art, at age 4) As educators, we give work to students based on what we consider to be developmentally appropriate, and what we feel they have the capacity to learn, which then helps them develop exactly in the ways we expect. Isn’t this a bit […]