Due to limited class hours,the proof process for Chebyshev's inequality is often omitted or skipped in class,and its practical applications are overlooked in favor of emphasizing its theoretical as-pects.To address this issue,the importance and necessity of including the proof process are analyzed,a-long with providing teaching strategies,explanation techniques,and precautions.When teaching applica-tion skills,it is recommended to use the case comparison method,as it highlights the practical value and underscores the significance of subsequent content.Finally,the effectiveness of these teaching techniques is demonstrated through survey data collected over several years.