My first post of 2018 is a record of some rambling thoughts about remainders. I may or may not come to a final moral here, so consider yourself warned.

What has prompted these ramblings today was reading this excellent post by Kristin Gray about her own thoughts on division and remainders. In that post, I saw […]

I have a whole suite of maths t-shirts that I made myself. One of them simply has the number 65536 on it. It’s been getting a bit of attention over the past couple of weeks, so I thought I might write about it.

65536 is my favourite power of 2. More specifically, it’s 216, which means […]

I am a mathematician and a maths teacher. Therefore it is an occupational hazard that any random person who finds out what my job is will respond with “I’m not a maths person.” The most frustrating people are my own students who I am trying to tell that my actual job is to help them […]

Posted in Being a good teacher, Thoughts about maths thinking
Tagged identity, maths, my life

15 Comments

15 Comments

It seems like ages ago — but it was only yesterday — that I wrote about differentiating functions with the variable in both the base and the power. Back there, I had learned that the derivative of a function like f(x)g(x) is the sum of the derivative when you pretend f(x) is constant and the […]

This is the third in what has turned out to be a series on Where the Complex Points Are.

Where the complex points are: introduction to the iplane concept

Where the complex points are: on a line

Where the complex points are: on a parabola (YOU ARE HERE)

Where the complex points are: the graph of a function

Where the […]

Posted in Isn't maths cool?, Thoughts about maths thinking
Tagged complex numbers, iplanes, maths

2 Comments

2 Comments

This is the second in what has turned out to be a series on Where the Complex Points Are.

Where the complex points are: introduction to the iplane concept

Where the complex points are: on a line (YOU ARE HERE)

Where the complex points are: on a parabola

Where the complex points are: the graph of a function

Where the […]

Posted in Isn't maths cool?, Thoughts about maths thinking
Tagged complex numbers, iplanes, maths

3 Comments

3 Comments

When you first learn complex numbers, you find out that they give you ways to solve equations that were previously unsolvable. The classic example is the equation equation x^2 + 1 = 0, which if you’re only using real numbers has no solutions, but with complex numbers has the solutions x=i and x=-i.

As someone who […]

Posted in Isn't maths cool?, Thoughts about maths thinking
Tagged complex numbers, iplanes, maths

8 Comments

8 Comments

The story so far

I promised Tina on Twitter that I would write about how the line at infinity relates to conics, and I’ve been doing it in the last two blog posts.

First, I talked about what the line at infinity is. We noticed that a set of parallel lines all share a slope, so we […]

The story so far

I made a promise to someone on Twitter to talk about how conics relate to the line at infinity, but when I came to do that, I realised it’s a can of worms that will take a few blog posts to untangle. Last time, I talked about how I construct and think […]

Why I’m doing this

I foolishly said this on Twitter about a month ago:

@DavidKButlerUoA @MathguyArt on the line at infinity? Tell me about those!

— Tina Cardone (@crstn85) June 14, 2016

At the time I declared this was a bit of a can of worms and I promised to write something and post it later. Well, here it […]