The phrase 'make progress' is commonly used to refer to positive movement towards a specific goal or objective. However, there are various synonyms that can be used to convey the same meaning. For instance, 'advance' expresses a sense of moving forward or making progress in an orderly and steady manner. 'Improve' suggests progress through the process of refining or enhancing something. 'Develop' stresses the growth and evolution of an idea or skill towards a set target. 'Succeed' implies achieving a goal or objective and making substantial progress. 'Move ahead' suggests progress by moving forward swiftly and confidently, while 'make headway' emphasizes gradual progress towards a specific target.