Tag Archives: mathematics

Keynote on Formative Assessment

I recorded some video and the audio from a keynote presentation I gave a couple of weeks ago. It turns out the video wasn’t all that useful, but I did a screencast of my presentation notes, and added the audio from my keynote to it.     Were I to do this again, I would […]

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 […]

Six things about math education which do not work

There are six things (at least!) about mathematics education which do not work: pacing for coverage of curriculum rather than focusing on effective student learning, fear that if students take more than five seconds to solve a problem, they will give up, teachers spending more time talking than students get to spend thinking, teachers working […]

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 […]

130 years of climate change data

  Daniel Crawford is working on an interesting problem; how can we represent data about climate change in other ways. Each note he plays represents the average temperature for a year, with higher pitched notes representing higher temperatures. While I wouldn’t call this piece very musical, it is a very interesting and useful way to represent […]

Two views of mathematics

(Image credit: DanCentury) As usual, there is an argument going on Reddit on mathematics education. There is a statement from that argument that I would like to highlight here, and a related discussion on Reddit with a related comment. "I solemnly declare that no kid ever learned math by watching a video OR by reading […]

Math in the real world: Train tracks

This is another in a series of posts about how one could find mathematics in the world around us. My son loves to play with train tracks. A few days ago, while playing with his train tracks, he observed, "Daddy, I can’t turn a train around." I asked him what he meant. "No matter which […]

Automaticity in programming and math

I’ve been learning how to program for a long time, a task that has much in common with mathematics. Both programming and mathematics involve being able to solve problems. Some of the problems in programming and mathematics have well established solutions and other problems do not. On a micro-level, programming involves manipulating code, a task […]

Presentation: Programming in Mathematics Class

This presentation is based in part on the TED talk Conrad Wolfram gave a couple of years ago, and on some insights gained at the Computer Based Math summit I attended in November. The below presentation is slightly abreviated to make it easier to share on the web.  

Exploring algebraic complexity

Here is an idea I am exploring. I’d like some feedback on this idea. If anyone can point me at research already done in this area, that would be appreciated. My objective is to use this to justify the use of technology in mathematics as a way of reducing algorithmic complexity so that deeper concepts […]