Category Archives: Fractions as Functions

Fraction as function implicit in many lessons

After the natural numbers, 0, 1,2, etc. are introduced, the fractions are introduced.  What are they?  Did they already exist?  Or are they an operator on natural numbers? We can think of 1/2 as a function.  Its domain is the … Continue reading

Posted in Fraction Democracy, Fractions as Functions, Fractions as Operators, Implicit Fraction as Function, Implicit Fraction as Operator | Leave a comment

Fractions as Operators and Transition to Proof

Fractions as operators are a good way to teach transition to proof.  First, because fractions are a key part of math education. Students stumble on fractions.  A big part of this is likely teachers don’t understand the abstraction or path … Continue reading

Posted in Fractions as Functions, Fractions as Operators, Transition to Proof | Leave a comment

Fractions as functions on subsets of natural numbers

We can consider the fraction 1/2 to be a function with the domain of even natural numbers.  At this point we don’t do signs.  So the numbers are pure natural numbers.  We consider these a type of size. If we … Continue reading

Posted in Fractions, Fractions as Functions, Fractions as Operators | Leave a comment