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.…

Introducing new concepts to learners in an order of increasing complexity appears to be beneficial for learning, but typically introduction of concepts does not always adhere to this principle. We examined whether introducing new algebra concepts in a contrasted manner or in an order of increasing complexity instead of a different more typical…

The strategy variables investigated were: 1) sequence, a presentation of instances according to a defined relationship of the stimuli--organized versus random; and 2) analytical explanation, a verbal statement presented with each instance which analyzed the presence or absence of the critical attributes. Concept learning implications were…

Sixty-four high school students, stratified by field-dependent or independent cognitive style, were randomly assigned to homogeneous or heterogeneous groups of four to attain concepts in the sequence of complex to simple or simple to complex, with either minimal or strategy instructions. Subsequently, each student individually attained four…