[1] She received her undergraduate degree in mathematics at Goucher College, earning a Phi Beta Kappa Key.

During her first year at The George Washington University, Mears taught as an assistant professor of mathematics in the Columbian College of Arts and Sciences.

[2] According to the criteria set by the Columbian College of Arts and Sciences, Mears earned this title due to her excellent teaching skills, and her contributions in both research and the Mathematics Department.

As a result, Mears created several theorems about these definitions, many of which provided truth for many practicing mathematicians, engineers, chemists, physicists, and astronomers.

One of her most popular theorems, called the Norlund Mean can be explained through absolute regularity, the summability of Cauchy products, and inverse properties.

Mears helped Janos Edvard Hanson and Joseph Blum earn their Ph.D.s from the George Washington University.

Two years later, Mears would also aid Janos Edvard Hanson in earning his Ph.D. in 1960, after writing his final dissertation on Linear Sequence Spaces, which permit omission and adjunction and have Finite Dimension Modulo Convergence.