Once you hire a tutor, follow up regularly. Set aside about five minutes before or after each session to discuss progress and what will be/was covered in that session. And, after the session, be sure to speak with your child separately about what was discussed in the session. If the information does not match up, you need to go back to the tutor and find out why.
After a few weeks, meet with your child’s teacher to discuss your child’s progress. Are they showing improvement? Are they participating more in class? Has their enthusiasm for learning grown? If yes, that does not mean it is time to ditch the tutor. Improvement should be expected, but does not necessarily signal proficiency. However, this does not mean tutoring is forever. Many students simply need short-term help, while others require more time. Each child is unique, and there is simply no one-size-fits-all method or time frame.
Remember that the purpose of education is to instill a lifelong love of learning in your child. As a parent, you are the chief example of this. If you love learning and make it a priority, your children will, more often than not, do the same. If you make it all about grades, they will be less likely to approach you when they are having trouble. That is not to say performance is not important, but it is much less so than understanding.