In summary, algebra is the study of the arithmetic structures of our world
, and is a toolbox we use to solve problems. The abstract nature of variables and equations and properties can only be understood after a proper developmental sequence of hands-on and oral examples, moving into the symbolic realm, and then progressing into pencil and paper exercises. Make it fun and interactive; allow your students to create their own examples and tap into their own curiosity. Embed these ideas into their basic curriculum lessons, not as a separate unit. Students of algebra need to be able to see how variables and equations are used to do any type of problem solving, and are tools to unlock mysteries in the world of numbers and patterns.