You can learn violin through a variety of mediums, but if you have a private violin instructor it will make a huge difference. While this is by no means your only choice, having one will help you to progress rapidly.
Overall, you may be more suited to learning violin through other methods, but from time to time you will stop seeing progress for whatever reason. It could be for any number of reasons, but it will happen to almost everyone at some point. Private instructors, if experienced enough, can push you past any plateaus in progress you might face.
Most violin teachers work primarily off of referrals. This percentage is even higher for new or older instructors. Some will get students based on reputation alone, but at that level of skill they are more expensive.
If you want to save money, you should work with teachers whose experience teaching is as close as possible to your experience playing. For example, a beginner should work with a newer teacher as they are easier to find and cheaper. When you progress you can choose to learn from more advanced teachers.
Even if you're just going after a beginning teacher, it helps to get all the facts. Don't be afraid to ask the important questions. You should know the price of the lessons, their experience of the teacher, their references, and their style. Every teacher has a style of playing they specialize in, even if they have the ability to play in any style.
There is one thing you need to know but can't really ask about. It's teaching style. Not everyone learns the same way, so their style might not work for you even if it has for others. Always take lessons on a trial basis to account for this factor.
There are a several places you can find violinists. Do a search online for local teachers. Quality and price will vary depending on what kind of site you find the instructor at.
Since most teachers work through referrals, you should find local violinists to talk to. You can learn from some of them, others you can ask who their teacher is. You can find these players at local concerts and recitals.
Check with the music department at nearby universities or at music schools to find more advanced teachers. Sometimes they will offer reasonable prices on private lessons. If not, you may want to talk to some of the students to see if they can teach you. Many of them have a lot of experience.
Also check music stores. Some offer private lessons, but most can refer you to someone who does.
Please note that these aren't exhaustive listings, but they are the primary ways to find good teachers. Also, these are generalizations of price and skill level. While there are outliers, I've listed what you can generally expect from each medium.
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