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 […]

## Tag Archives: learning

### 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 […]

### Pseudoteaching and the Edutainer

I recently came across Frank Noschese and John Burk‘s collection of posts on Pseudoteaching. In Frank and John’s words: What is pseudoteaching? This term was inspired by Dan Meyer’s pseudocontext, which sought to find examples of textbook problems that on the surface seemed to be about real world problems and situations, but actually were about […]

### Ambiguity in mathematical notation

I’m reading Dylan Wiliam’s "Embedded Formative Assessment" book (which I highly recommend) and this paragraph jumped out at me: "To illustrate this, I often ask teachers to write 4x and 4½. I then ask them what the mathematical operation is between the 4 and the x, which most realize is multiplication. I then ask what […]

### We cannot underestimate the importance of context

My son Timon walking My youngest son recently learned how to walk. He’s certainly not an expert by any means, but he can now toddle around for 10 to 12 steps at a time and not fall down. I noticed something strange about his walking though – he makes no effort to avoid obstacles in […]

### Children are not railroad trains

"Timetables! We act as if children were railroad trains running on a schedule. The railroad man figures that if his train is going to get to Chicago at a certain time, then it must arrive on time at every stop along the route. If it is ten minutes late getting into a station, he begins […]

### Video explanations using animation

Derek Muller sent me this link to a very popular video animation that attempts to explain fundamental forces in nature. You can watch it for yourself below. The video uses analogy and some cute animations to attempt to explain how forces in nature come from difference between measurements of those forces in different […]

### What I learned from making waffles

When my son woke up this morning, he asked me to make him waffles. Having never made waffles before, I was going to refuse, but then I decided to take a chance, and just learn how to make waffles. Most of my adventures in the kitchen in the past 6 years have happened with the […]

### The Role of Immediacy of Feedback in Student Learning

Update: There has been some recent research that suggests that while the timeliness of feedback is one aspect of good feedback, it may not be the most critical aspects of feedback. Awful feedback given immediately is much less useful than carefully constructed feedback given later. Abstract A review of the literature on the role […]