Problems about graphs of functions can be grouped into interpretation or construction tasks. The tasks may involve interpreting individual points, an interval, or the entire graph. The same may be said about construction tasks.
Category: Algebra
Evolution of the definition of function
How do you define function? Do you teach relation first before teaching function? Does knowing about relation a pre-requisite to function understanding? The concept of function “was born as a
Solving systems of equations by elimination – why it works
Mathematical knowledge is only powerful to the extent to which it is understood conceptually, not just procedurally. For example, students are taught the three ways of solving a system of linear equation: by
What is algebraic thinking?
In my post Arithmetic and Algebra, I wrote that it’s how you solve a problem that tells whether you are doing algebra or arithmetic, not the problem itself. Here’s a description