This document summarizes research on mathematics anxiety. It discusses what mathematics anxiety is, why it occurs, who experiences it, when it occurs, who or what creates it, how to reduce it, and how to eliminate it. Specifically, it defines mathematics anxiety as a situation where students have difficulty improving in mathematics due to irrational fears. It identifies several key factors that can cause mathematics anxiety, such as teacher personality, testing pressures, and perceived relevance of mathematics. Relaxation techniques and addressing different learning styles are proposed as ways to reduce mathematics anxiety, while eliminating it requires a long-term approach like changing perceptions of mathematics.