Method and Perspectives in Maths

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The official list of TOK perspectives in maths
questions.​

• What is it about mathematics that enables mathematical results to remain unchanged over time?
  
• How significant have notable individuals been in shaping the nature and development of mathematics as an area of knowledge?
  
• What is the role of the mathematical community in determining the validity of a mathematical proof?
  
• Is mathematical knowledge embedded in particular cultures or traditions?
  
• Does personal experience play any role in the formation of claims in mathematics?
  
• Is progress harder to make in mathematics than in other areas of knowledge?
  
• If mathematics is created by humans, is it still possible to accept mathematical truths as objective facts about the world?
  
• Are all of the areas of knowledge in the TOK course themselves embedded in a particular tradition or bound to a particular culture?

The official list of TOK methods and tools
​in maths questions. 

• Is mathematical reasoning different from scientific reasoning or reasoning in other areas of knowledge?
  
• What is meant by the term “proof” in mathematics, and how is this similar to, or different from what is meant by this term in other areas of knowledge?
  
• How do mathematicians reconcile the fact that some conclusions seem to conflict with our intuitions?
  
• What does it mean to say that mathematics is an axiomatic system?
  
• How is an axiomatic system of knowledge different from, or similar to, other systems of knowledge?
  
• Do mathematical symbols have meaning in the same way that words have meaning?
  
• Is personal experience more important or less important in mathematics compared to other areas of knowledge?