There are a number of causes of such a mismatch of plastic extruded, but it generally is the result of the input filament diameter not matching what the slicer expected, or the steps per mm for the extruder being incorrect. By carefully measuring your filament diameter, and then checking that that value is properly entered in the slicer – for a Polar3D printer, this means properly entered under the object’s “PRINT SETTINGS”, “BASIC”, “Filament Diameter” – you can generally prevent over- and under-extrusion from occurring. (But note that poor quality filament whose diameter varies can cause intermittent over-extrusion and under-extrusion.) See also filament, slicer & under-extrusion
Does this mean that you or your students need to use or understand polar coordinates? No! The Polar3D printer expects industry-standard .stl files, which describe location in the more familiar Cartesian x, y, and z coordinates; the Polar3D printer’s firmware automatically converts from the Cartesian coordinates describing an object to the polar coordinates (technically, cylindrical coordinates) that the printer’s hardware uses.
However, if you have students who are learning about polar coordinates in their math class – see Common Core standard http://www.corestandards.org/Math/Content/HSN/CN/B/4/ – you may wish to draw such students’ attention to the underlying polar operation of the Polar3D printer, both to help motivate them as to why one might want to learn about polar coordinates, and to help them visualize the relationship between polar coordinates and Cartesian coordinates.
Also, a couple of operational tips regarding optimal positioning of objects on the build plate (see Section 14.1: Positioning objects of the Polar Cloud Guide) will be more intuitive if you are conscious that the printer is operating, at the hardware level, in polar coordinates. 91, 93, see also Cartesian coordinates & cylindrical coordinates