Technology Enabled Learning & Teaching @ UNSW

How do move from an emphasis on rote learning of procedures in mathematics towards a focus on mathematical reasoning?

Walk into any McDonald's, anywhere in the world, and you know where you are and what to expect. For the homesick traveller, the consistency of McDonald's' design aesthetic is comforting. You know how this is going to work, you understand what to do, and you know what you are likely to get. McDonald's requires minimal cognitive load on the customer's behalf.

Praise and Feedback occupy significant spaces in the lives of our learners. It should not be surprising then that the language we use to communicate praise and feedback can enhance or hinder our efforts.

Of all the subjects that our students engage in, mathematics is the one most requiring an injection of learner agency. What is it about mathematics that engenders it to modes of teaching that are so heavily teacher-directed? How might this change if we seek to understand the place that learner agency plays in producing learners who will emerge from our classrooms with a love of mathematics and a deep understanding of its beauty?

In times when we taught face-to-face, some of these challenges would be overcome through the use of concrete materials, at least with younger students. Unfortunately, it is common for the use of concrete materials to decline as students grow older. Fortunately, this pattern, and the prejudiced beliefs on which it is founded, are today being questioned.