When to go
Best time
Morning, Mid-day, Late afternoon, Sunset, Night
You can photograph the shattered glass floor exhibit at Mathaf: Arab Museum of Modern Art during any month of the year since it's indoors.
Visit the museum during its opening hours to take your photos. It tends to be less busy near its opening and closing times.
Field tips
Respect the space and keep your distance from the artwork.
Bring a camera and lens that captures light easily, as it can be dark inside the museum. You might be told to put it away, but you can also bring a tripod if it's too dark.
If any of the museum staff says you can't take photos, have a mobile phone camera as back-up.
I personally like when you have a silhouette in your frame at this location. I was alone when I shot, but I think it's worth the wait to see if someone will walk through the frame.
Aim to have the door in the middle of your photo. It'll create a focal point, as well as a sense of symmetry.
Current weather
Do nearby
You're in the middle of Doha's Education City. This area is a fantastic place to explore, with a ton of inspiring architecture and museums, like the Museum of Islamic Art.
Oxygen Park is also nearby and I highly recommend checking it out.