Abstract

Fractions and algebra represent important gatekeepers to higher level mathematics. In this chapter I overview some common incorrect strategies for these topics and recommended interventions. I also overview interventions to support the flexible use of strategies for solving these problems. Evidence-based recommendations to support learning of fractions and algebra include interventions that highlight the meaning of the symbols and procedures. Representations such as the number line, manipulatives, and word problems can help foster understanding and help students notice important features. Other recommendations include using worked examples, comparing, varying the format of the problems, and asking students to solve problems in more than one way. Future directions are discussed.