You will, in all likelihood, perceive the above picture as a 3-dimensional scene, where a greenish cylinder stands on a checkered plane; light comes from top left.
Now try the first button (Question 1) on the top right. Two patches will be indicated, and you are asked to compare their relative brightness. I think we can all agree that the top one is darker.
A second later a yellow mask will appear. Now you can compare the two patches without the 3-dimensional context. Now the brightness will be identical. The luminance is identical at all times, but the brightness ( =apparent luminance) differs, depending on context.
If you don't believe me, take a screen shot, paste the image onto canvas and see for yourself.
Play Checker Shadow Free Online at Arcade Boss Games.
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