Lets have a brief aside to discuss something important about mathematics.
Mathematics is not a fact-based subject.
That is not to say that we don’t learn true things in math, nor that facts don’t have a role to play, only that learning a mathematical idea is very different from learning a fact like “The Confederation of Canada took place on July 1st, 1867.” I have that date memorized because we have an annual celebration of it, but mostly because my Mom was a Grade 7-8 history teacher.
A mathematical idea can be memorized. For example:but that isn’t the same thing as understanding it. My current thinking is you don’t fully understand mathematics until you build it yourself. That is what I’m trying to help with in this blog.
But that being said there are somethings that are a pain to work out every time. Multiplication was a stumbling block for me in grade school. My fellow students learned the times table by memorization and were able to rapidly give answers to questions. Memorizing the multiplication table was very difficult for me, so I’d be stuck figuring it out each time.
For further discussion: How does the memorization debate play out in your favourite subjects?