Example Construction as a Devise to Reveal Awareness of Calculus Integration.
Abstract
Meaningful mathematics learning requires creating opportunities for learners to make use of their
awareness to contact important mathematical structures. Four first year undergraduates studying
engineering, mathematics and education were invited to construct examples meeting specified
constraints in order to investigate their awareness of Integration. Findings suggest that the
examples they constructed reflected the nature of their awareness of the topic and aspects of the
topic that dominated the students’ attention.