The sessions were designed to induce cognitive conflict within students and
stimulate a metacognitive awareness of the reasoning patterns being applied to
the tasks. Activities were thought-provoking and involved frequent use of
small group discussion to enhance engagement 'With the tasks. Some of the
lessons employed a learning cycle strategy (Karplus, 1980) With exploration of
concrete materials, rule introduction and rule application. Students were
provided with opportunities to practise rule application with feedback from the
teacher.