Skemp (1989) demonstrates his passion for mathematics through his discovery between relational and instrumental mathematical understanding.

Skemp describes relational understanding to be useful for drawing upon in everyday life as it’s adaptable, easy, effective and is of great quality.

Relational understanding is described as being able to use the coherent knowledge of mathematical structures to make the appropriate connections, Lewis (1996).

On the other hand, there is instrumental understanding which is more time convenient. Skemp (1989) describes this to be habit learning. He says this as you can memorise the rules and methods to solve problems.

Here are some examples I have thought of:

1.

Instrumental Understanding = Learning dance steps, order of movements or positions

Relational Understanding = Performing these dance steps more passionately.

2.

Instrumental Understanding = Knowing the rules of driving a car

Relational Understanding = Knowing why these rules are in place