Looking at math, as one of the areas of knowledge in TOK, my grade was presented this topic by our math head, Mr. Brown. Discussion between theories and theorems where one of the topics but also other questions on mathematics.
One thing I learned was the idea that “In mathematics, there are theorems, not theories.” According to dictionary definitions:
A proposed explanation whose status is still conjectural, in contrast to well-established propositions that are regarded as reporting matters of actual fact.
A theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas.
Seeing this, I realized that it is true. We use theories in science more, and in math we only use theorems.
Also looking at questions on math, areas that can be explored using TOK are topics like:
- How should mathematics use IT?
- Mathematics has beauty! Can you see it?
These seem like very interesting topics, especially the second which can make great issues for TOK presentations or essays.