What are the important attributes of good mathematics teaching? The answer depends on whom you are asking. Teachers, researchers, policymakers, administrators, and parents usually provide their own view on what they consider the important attributes of good mathematics teaching. The purpose of this study was to determine what beginning teachers report as being the most important attributes at the secondary level. This research explored whether there was a relationship between the demographics of the participants and the attributes of good teaching. A quantitative analysis was used to gather information from the research participants regarding their beliefs and classroom practices of good mathematics teaching. The three most important attributes in good teaching were classroom management, motivation, and strong in content knowledge. One interesting finding was the discovery of four groups of beginning teachers, and how they were associated with specific attributes of good mathematics teaching according to their demographics.