There are several synonyms for the phrase "show an improvement." Some alternative phrases include: make progress, make strides, get better, enhance, upgrade, develop, grow, advance, refine, bolster, and ameliorate. Each of these phrases focuses on the idea of improving a certain aspect or skill, whether it be personal growth, professional development, or academic achievement. Using synonyms is essential in varying your language and avoiding repetition in your writing. It is important to choose the appropriate synonym that accurately conveys the meaning you intended to communicate. By incorporating these synonyms, you can add depth and nuance to your language and create a more engaging and impactful message.