Tag Archives: teaching functions

What is an algebraic function?

An algebraic function is a function created by applying the operation of addition, subtraction, multiplication, division, and extracting the nth root. Let me give an example. Suppose you have the function f and g where f is a linear function and g is a constant function.  Let f(x)=x and g(x) = -3. We can create… Read More »

How to teach the inverse function

In What is an inverse function? I proposed a way of teaching this concept starting with its graphical representations using GeoGebra applets. Al-Zboun Lilliana in our Linkedin group shares her idea for introducing the inverse function. She says that the most difficult part in teaching this concept is to make it make sense to students and not… Read More »

History of algebra as framework for teaching it?

In many history texts, algebra is considered to have three stages in its historical development: The rhetorical stage –  the stage where are all statements and arguments are made in words and sentences The syncopated stage – the stage where some abbreviations are used when dealing with algebraic expressions. The symbolic stage – the stage where there… Read More »

What is an inverse function?

In mathematics, the inverse function is a function that undoes another function. For example,  given the function f(x) = 2x. If you input a into the function f, the output is 2a. The inverse function of  f(x) is the function g(x) such that if you input 2a into g(x) its output is a. Now what is g(x) equal to? How does its… Read More »

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