Due to their abstract nature, representation of mathematical concepts through different registers favors their understanding. In the case of ''sequences and regularities'', it becomes propitious the exploration of different registers of representation in the institution of topics, such as term, order, formation law, and generating expression.…

Executing actions in a specific order is a critical component of many action sequences that children must acquire, the majority of which are learned through observation and imitation of others. Although a wealth of evidence indicates that children can process and represent temporal order in memory, relatively little is known about the development…

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)