This paper presents the conceptualisation of infinity as a multi-faceted concept, discussing two examples. The first is from history and illustrates the work of Euler, when using infinity in an algebraic context. The second sketches an activity in a school context, namely students who approach the definite integral with symbolic-graphic…

Technology is evolving and now some secondary classrooms see students using computer algebra systems (CAS), however, Zbiek (2003) points out that "graphical representations seem to abound in CAS-using classrooms" and "many [research] studies of the use of CAS depend highly on the graphing component of the tool". Kissane (2001) suggests that with…

This paper provides a pragmatic view of efficient use of graphics calculators. Efficiency is described in terms of quick and easy calculation, as debated and evidenced in a Year 12 calculus class. Students' methods of calculation are analysed in terms of the algebraic understanding and technical skills that underpinned them. Patterns in students'…