Einstein's 1905 postulates entail that, if two clocks are in relative motion, either clock is slow as judged from the other clock's system (SYMMETRIC time dilation). An obvious implication is:
Time SPEEDS UP for the traveler.
That is, any traveler who checks stationary clocks against his spaceship's clocks will find stationary clocks slow and his spaceship's clocks FAST. This also means that the traveler sees himself aging FASTER than stationary people.
Physicists teach the opposite of what Einstein's postulates entail:
Time SLOWS DOWN for the traveler.
Examples:
Brian Greene: https://youtu.be/Q1y3YnPgaY4?t=1157
Albert Einstein 1911: "The clock runs slower if it is in uniform motion..." http://einsteinpapers.press.princeton.edu/vol3-trans/368
Richard Feynman: "Now if all moving clocks run slower, if no way of measuring time gives anything but a slower rate, we shall just have to say, in a certain sense, that time itself appears to be slower in a space ship." http://www.feynmanlectures.caltech.edu/I_15.html
Brian Greene: "If you're moving relative to somebody else, time for you slows down." https://m.youtube.com/watch?v=QnmnLmwBmfE
Neil deGrasse Tyson: "...Einstein's special theory of relativity, which gives the precise prescription for how time would slow down for you if you are set into motion." http://abcnews.go.com/Entertainment/back-future-30th-anniversary-neil-degrasse-tyson-talks/story?id=32191481
Jim Al-Khalili: "Einstein showed that for anything (or anyone) travelling at speeds approaching that of light...time literally runs more slowly." https://scienceinschool.org/2009/issue11/timetravel
Why do physicists teach the opposite of what Einstein's 1905 postulates logically entail?