1) Your child can do better with a different teacher.
2) Your child might do better with a different teacher.
3) Your child could do better with a different teacher.
Do they all sound correct?
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Yes; but they differ in meaning.
Could you please explain how they differ in meaning?
@Language learner posted:1) Your child can do better with a different teacher.
2) Your child might do better with a different teacher.
3) Your child could do better with a different teacher.Do they all sound correct?
(1) expresses a real possibility.
(2) and (3) express a remote or hypothetical probability.