These Keys To Rebounding Are Also Keys To A Great Life.
Each rebound equates roughly to one point on the score board.  If one team out rebounds another say 40 to 20, that team should win the game by at least 20 points.  This stat is not completely accurate, but is a great rule of thumb. 
Clearing the backboards is paving the way to victory.
Mental/physical strength and stamina, awareness and anticipation used in conjunction with court location dictates your rebounding positioning and style.  No one is born with these abilities but everyone can learn them.  The physical conditioning required to become a great rebounder, defensive player, or for that matter a great offensive player, should be achieved during the off season.  During the season you should be maintaining your level of conditioning and learning your coach's system.  Practices should be limited to stretching, warming up, learning from your coaching staff and practicing.  Maintaining your physical conditioning should happen before and/or after practice. 

A great basketball rebounding team is a most difficult team to defeat.  Since they have learned to rebound as a team they have also learned to play tough team defense.  Because they have the resolve to learn basketball rebounding and defense by default they've become an offense quick to take advantage of an opportunity or mismatch. 
A great basketball rebounding team will limit an offense to one shot 60% of the time and a great defensive team will make certain that 75% of those shots are intensely contested.  If a defense shuts down shots in the paint then most of the shots are jump shots creating a lower shooting percentage long rebounds and many fast break opportunities. 
Long shots create long rebounds generally to the left or right of the basket.  Late in the game, long side shots generally rebound back to the same side; during the first three quarters long side shots generally rebound long to the opposite side of the court.  Short shots create short rebounds. 
Outside the paint smaller players have an advantage on long rebounds because most of the time smaller players are quicker to the ball than taller or bigger players.  I make these distinctions because basketball has often been called a game conducive to tall athletes.  It's true tall basketball players sometimes have an advantage on the inside just because of height, but intelligent smaller players can mitigate a height advantage most of the time.  This demonstrates one reason I love coaching; removing what are only perceived limitations from a players' mind. 

What skills are required to become a great rebounder?
In order of importance:
conditioning, timing, positioning and blocking out.  How does this all add up?
If you position yourself for a rebound before it’s time, you take yourself out of the flow of your team’s defense or offense breaking down the team’s continuity and your ability to be in the right place at the right time.
No matter how good you are at blocking out, if you’re not in the proper position to do so all that ability and training is wasted.  When playing your man or your zone you always need to be aware of the rest of the court, otherwise you’re not playing team defense (five players moving in unison as one entity).  When the shot is taken you know if it’s a long or short shot and also know where it’s most likely to go when it misses. 

Learn to anticipate, to plan ahead. 
When the shot goes up it’s time take your eyes off the ball and concentrate on your man.  Your sole purpose at this time is to keep your man from getting that rebound.  You might not get it either, but it's imperative your man not get the rebound.  Get in position, inside position, with your man behind you.  You want your man on your back or shoulder; this gives you superior strength and allows you to control the situation.  Block your man out of the play as far away from the basket as possible.  This is when your strength training comes into play and the fun begins. 

Mental/physical strength and stamina, court awareness, and anticipation used in conjunction with your court location, dictates your rebounding positioning and style.  Rebounding tests all your physical and mental resolves. 
Big physically dominant players tend to maul smaller players that have established an inside position while both are going for a rebound.  Size is sometimes the answer, however basketball smarts is the answer most of the time.  If you are fouled going for a rebound or going after the ball for any reason your team obtains possession of the ball even if you've never touched it.  Smaller players often find themselves in the paint when a shot goes up.  Instantly that player becomes a rebounder.  All players are allowed their space on the court, when that space is encroached on (and the referee sees it) a foul is called. 

A rebounder's responsibility is two fold; first, keep your man from collecting the rebound; second, configure where a shot may rebound to when it misses.  Give it your best guess. (If one is playing "In The Zone" it's surprising how consistently correct that best guess is.)  The point here for you to understand if you actually consider the flight of the ball, and therefore the resultant rebound, you will often be correct in your assumption.  If yours is the best guess on the basketball court, and you’ve put yourself in position, you get the rebound. 
Why bother fighting for position and putting yourself in jeopardy of committing a foul if the rebound is not going anywhere near you?  I'll tell you why... What if you're wrong?  If you're in the paint you always fight for inside position.  Elsewhere on this website I mention cross-training, specifically karate.  If you understand positioning, misdirection and leverage the way it's taught in martial arts, and your opponent does't who do you think will acquire the preferred inside position?  Now, I'm not suggesting you break your opponent's leg, only that cross-training helps maybe in many ways you've yet to realize. 

When you get the rebound your opponent should immediately attempt to dislodge the ball from your grip.  Your first job is retain possession of the ball; secondly  get the ball to your correct teammate as soon as possible whether that player is standing right next to you or is all the way down court standing under the other basket.  You rely on your court vision to make this snap decision.

All of the above information applies to defensive rebounding.  Almost all of the above also applies to offensive rebounding.  But as an offensive player you'll be working harder to get positioning for a rebound because you normally have at least one opponent between you and the basket.  The closer you are to the basket when the shot goes up the more like a defensive rebounder you become, fighting for position in order to keep the other team from gaining control of the rebound.  But when you have an opportunity to gain possession of the rebound your first thought, as an offensive player, is attempting to score by tipping the ball back up.  Tipping the basketball off the backboard, as if you’re shooting a lay up, is normally the best way to tip it in for an offensive rebounding shot, or tip in.  That means you can go up with one hand, with the possibility of getting higher than the defense that’s going up with both hands, and tipping it in just outside the reach of the defense's extended arms. 
To help things go in your favor as an offensive rebounder get to know your teammates tendencies.  If you know your teammate's going to shoot you have an opportunity to beat the opposition to the rebound should the ball not drop in the hole.  So in some circumstances the offense has the jump on the defense if the offense is alert and paying attention. 

Rebounding is a war.
The team winning the most rebounding battles usually wins the basketball game. 
A shooter unfamiliar with the NEW Book, "Basketball - It's All About The Shot," offers up plenty of opportunities for rebounding.

Very few players rebound well.  Dennis Rodman became an NBA player and an All-Star because he was great at one aspect of the game, rebounding.  He was one incredible rebounder.  Dennis wasn't much of a shot or a dribbler, he was however darn good with a fast-break outlet pass.  Dennis was fortunate enough to discover his niche while playing high school ball, this gave him many years to work on and perfect his rebounding technique, strength and stamina. 

Most of the books listed below have many rebounding drills.  I suggest you pick a different rebounding drill for each and every practice; run that rebounding drill until your muscles ache.  Persistence and determination will improve your rebounding technique and give you a kind of rebounding sixth sense.  Many players that have a difficult time finding a spot for themselves on a team can earn a spot on rebounding talents alone.  If you pull down 10+ rebounds per game you are guaranteed many minutes of playing time. 

Rebounding taxes your physical and mental resolve.  A great rebounder not only secures a spot on a team, great basketball rebounders, through forethought (anticipation) and dedication, set themselves up for a great life.  Life's not easy but worth the fight.  The same mind set and determination that make a great rebounder also makes for a great life. 

The Following Books Are Recommended Reading For All Coaches and Players (you can find them in your library):
Beginner Players / Coaches:
Baffled Parents Guide to Great Basketball Drills by Jim Garland
Basketball Skills and Drills by Krouse, Meyer, Meyer
Teach'In Basketball by Bob Swope
Coaching Youth Basketball by American Sports Education
Drills and Skills For Youth Basketball by Grainer, Rains

All Players / Coaches:
Basketball Handbbook by, Lee H. Rose
Coaching High School Basketball by Bill Kuchar
Basketball Tip-Ins by Nick Sortal
WBCA's Defensive Basketball Drills by Women's Basketball Coaching Association
WBCA's Offensive Basketball Drills by Women's Basketball Coaching Association
Attacking Zone Defenses by Kresse, Jablonski
101 Offensive Basketball Drills by Karl, Stotts, Johnson
101 Defensive Basketball Drills by Karl, Stotts, Johnson
101 Rebounding Basketball Drills by Karl, Stotts, Johnson
Coaching Fast Break Basketball by Ellis
Zone Offenses For Men's and Women's Basketball by Harkins, Krause
All Purpose Offenses For Men's and Women's Basketball by Harkins, Krause