The calcite's birefringence causes one ray to go through normally and another to pass at an angle. The light's direction changes as it goes through calcite, and this change tells where the light is coming from — in this case, the sun. There is a nerve in the back of your eye that can recognize this change and causes an optical illusion, "Haidinger's Brush," which looks like a fuzzy yellow bowtie. The sun is perpendicular to the yellow shape.
The professor is working with a research assistant to re-create a device the Vikings likely used, based on a 2011 Royal Society study. Hopefully the project overall will give him some interesting ideas for his investigation of the properties & potential uses of calcium carbonite.