TOK Mathematics as an AOK

Given a choice, would you like to not study TOK at all?

• Yes

• No

Given a choice, would you like to not study Math at all?

• Yes

• No

What is your favorite AOK? (Type one of the below)
(Arts, History, Human Sciences, Natural Sciences, Mathematics)

Is Mathematics an invention or a discovery?

• Invention

• Discovery

• Both

• None

Which philosopher argued that mathematics is a creation of the human mind, rather than a discovery of universal truths?

• • A) Pythagoras

• • B) René Descartes

• • C) Immanuel Kant

• • D) Ludwig Wittgenstein

Which concept refers to the idea that mathematical truths are discovered rather than invented?

• • A) Platonism

• • B) Formalism

• • C) Intuitionism

• • D) Constructivism

Answer explanation

"People love to meet others with the same interests as them. Most of the time, I love to talk and discuss my favorite books and their characters, but there are selected ones. The reason is that book reading can sometimes kill people's ability to think on their own.

In this world, every source you see is just a tool to help you find your own path and shape ideas according to your own thoughts and experiences."

What is your favorite Math theorem?

Match the following:

• Equivalence

• This concept refers to the state of being identically equal or interchangeable, applied

  to statements, quantities or expressions.

• Change

• This concept refers to the way in which mathematics can be used to represent the real

  world.

• Modelling

• This concept refers to a general statement made on the basis of specific examples

• Generalization

• This concept refers to a variation in size, amount or behaviour.

• Approximation

• This concept refers to a quantity or a representation which is nearly but not exactly

  correct.

Match the following:

• Quantity

• This concept refers to an amount or number.

• Systems

• This concept refers to the underlying order, regularity or predictability of the elements

  of a mathematical system.

• Relationships

• This concept refers to groups of interrelated elements.

• Patterns

• This concept refers to the connection between quantities, properties or concepts;

  these connections may be expressed as models, rules or statements.

Match the following:

• Validity

• This concept refers to the frame of geometrical dimensions describing an entity.

• Representation

• This concept refers to using well-founded, logical mathematics to come to a true and

  accurate conclusion or a reasonable interpretation of results.

• Space

• This concept refers to using words, formulae, diagrams, tables, charts, graphs and

  models to represent mathematical information.