When Imaginary gets Real
One of the many interesting aspects of imaginary numbers is that we can use them to find out “real” facts (facts about real numbers).Perhaps the most used examples are…
i Cycle
Where is 
i Cycle, the Sum of Powers
Do I need to say what the question is? “Find the sum!” is the immediate question that comes to mind when you start mathematics. When you gain more experience…
Artin’s Algebra!
This post has nothing to do with Michael Artin Algebra! Artin of this post is my son, and this is the story of him learning algebra. He is 11…
Read Euler, Read Euler!
“Read Euler, read Euler, he is the master of us all” written by Robin Wilson or “Euler: the master of us all” written by William Dunham are to show…
Structure, Structure, Structure!
Look at this equality: or this one: They are true structurally. In principle, you can just replace one side of the equality with the other side without any extra…
Plan for the Unexpected!
Whatever you teach (or learn), you should look for the links, the more unexpected, the better. This post is the story of one of them, simple but lovely and…
Plan for the Mess!
“Plan for the mess” is one of my favourite teaching ideas. The idea is to bring students to a point where after a heavy messy work (most of the…
Proof-Generated Definitions!
Okay, for a long time, I didn’t know what to blog about. Now, I have decided to write about my teaching ideas that take ages to turn into a…