A few case studies have suggested students' struggles with the "temporal order" of epsilon and delta in the formal limit definition. This study problematizes this hypothesis by exploring students' claims in different contexts and uncovering productive resources from students to make sense of the critical relationship between epsilon and…

As an alternative to looking solely at linear functions, a three-lesson learning progression developed for Year 6 students that incorporates triangular numbers to develop children's algebraic thinking is described and evaluated.

When subgoal location was appropriate to the serial pattern, subjects were likely to use a strategy resulting in enhanced rule induction and transfer with increased subgoal density. When subgoal location was not appropriate, subjects tended to use a strategy resulting in considerably reduced role induction and transfer. (Author/PN)