Teaching Algebra

Three key ideas have recently started to emerge in the research literature where the teaching of Algebra should be

Relate reverse operations to equation solving

pictorial equation solving

and

using both arithmetic and algebraic approaches to solve problems

https://www.scirp.org/journal/paperinformation?paperid=53882

The teaching of arithmetic often looks at fluency and accuracy in algorithmic computations, whereas in algebra the learner moves to a completely different set of processes that of building the familiarity and capability of transforming equivalent expressions.