How does your 3D camcorder work?

How does the camcorder record 3D movies?

People see objects (in parallax) using their right and left eyes individually. Parallax tricks the viewer’s brain into perceiving a sense of depth in the images.
Your camcorder sees subjects using 2 lenses in the same way people’s eyes do, and then records them in 3D.

How do movies look like 3D movies on the LCD screen, without using 3D glasses?

Because the LCD screen of your camcorder is covered with a 3D sheet that reproduces the effect of the 3D glasses, you can view movies in 3D without using 3D glasses.
The sheet delivers different light to your right and left eyes simultaneously.
This means that your right eye sees the image shot by the right lens only, while your left eye sees the image shot by the left lens only.
As a result, a parallax effect is produced and movies are seen in 3D.