Teacher candidates will know why the real and complex numbers are each a field, and that particular rings are not fields (e.g. integers, polynomial rings, matrix rings).
Teacher candidates will apply basic properties of real and complex numbers in constructing mathematical arguments (e.g. if a < b and c < 0, then ac > bc)
Teacher candidates will know that the rational numbers and real numbers can be ordered and that the complex numbers cannot be ordered, but that any polynomial equation with real coefficients can be solved in the complex field.