In order to figure out what you should be looking for in a martial arts gym or school, you need to be clear on the most important factor.
- Why do you want to learn Jiujitsu or any martial art for that matter?
- Do you want to learn to defend yourself?
- Do you want a hobby and to get in better shape?
- Do you want to compete?
It's always best to be clear on what you're looking for before you go to see the school. From there prepare a list of questions to ask the instructor. Watch a whole class if you can and see how the students are interacting with each other as well as how the instructor is interacting with them.
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You might want to ask the instructor what type of student his school focuses on?
Do they compete for alot?
Watch the other students see how they train.
If the school is full of students who are young, train hard, and spar even harder and your goal is just to train to stay in shape and follow a hobby then that might not be a right fit for you.
One very important factor to watch out for is if the instructor is in control of the sparring. Sparring can be a very dangerous activity and if not properly supervised by the instructor it will most likely lead to students being injured.
If you are concerned with getting injured,(which you should be as an injury can sideline your training and even put an end to training altogether even ending a competitive career.) Mention it to the instructor and see how he responds. If he doesn't seem concerned, you should look elsewhere. A good instructor will always look out for his students' well-being and be attentive when his students are sparring.