CAS and Secondary School Mathematics: Mathematical Tasks in Principle become Tasks in Practice
AbstractThe availability and versatility of contemporary technology such as CAS afford upper-secondary school mathematics teachers with opportunities to widen the bandwidth of mathematical abilities and knowledge required of students.
In essence, the amalgamated numerical, graphical and symbolic functionality of a CAS, coupled with dynamic geometry and digital image capabilities convert mathematical tasks formerly deemed as tasks that could only be set in principle to tasks that now can be set in practice.
In this workshop one such CAS, namely TI-Nspire CAS, will be used to analyse a small set of mathematical tasks from this 'in principle to in practice' lens. These mathematical tasks, including Amazing Systems of Equations (covering algebra, matrices, functions and graphs and the Fibonacci sequence) and Anscombe's Quartet (covering univariate and bivariate statistical analysis) will be discussed from the perspectives of achieving curricular goals and effects on teacher practice.
Some basic familiarity with TI-Nspire CAS will be assumed.