Tagged: negatives

12

Algebra Tiles- from counting to completing the square

I have become increasingly interested in visual models recently as a way of introducing topics. Visual models have┬áthe power to illustrate┬áconcepts in their rawest, simplest form without the misleading associations that words and abstract notation can introduce. I’m convinced concrete/visual model introductions should form an increased part of my practice, but the question that interests me is which visual models...

3

Negative number reasoning with patterns

How do you explain that subtracting a negative has the same effect as adding the positive corresponding number? I’ve seen teachers use many analogies including: Thinking of sandcastles as +1s and holes as -1s… a sandcastle and a hole makes nothing (1 + -1 = 0). Playing golf and you score -2 on a hole, taking your score from -4...