Plain English Meaning
The wing is tilted slightly nose-up into the oncoming air, so it starts producing lift. On a soft field, the pilot pulls back on the yoke during the roll to keep the wing in this attitude and get airborne as early as possible.
Full Definition
An angle of attack greater than zero, in which the wing's chord line is inclined upward relative to the oncoming relative wind, producing lift. On a soft-field takeoff, the pilot holds back-pressure on the controls during the takeoff roll so the wing meets the air at a positive angle of attack, allowing the to the as soon as enough lift is generated.