One way to make algebra make sense to students is to show where those mathematics objects (e.g. algebraic expressions/equations/formula) come from. It will even makes sense more to students if they themselves can generate those objects. As John Mason puts it, The mechanics of algebra (algebraic manipulation) are concerned with studying the effects of combining,…

Read more

One popular way of introducing the negative numbers is through the number line. Most textbooks start with the whole number on the number line and then show to the students that the number is decreasing by 1. From there, the negative numbers are introduced. This seems to be something easy for students to understand but…

Read more

Subtracting integers should not be difficult for most if they make sense to them. In first grade, pupils learn that 100 – 92 means take away 92 from 100. The minus sign (-) means take away or subtract. After two or three birthdays, pupils learn that 100 – 92 means the difference between 100 and…

Read more