Money management looks at the whole account, applies mathematical formulae and lets you know how much to risk on your next trade.
Proper Money Management: takes into account both risk and reward factors, value of the entire account. Discounts all factors that cannot be mathematically proven. Never tells you when to get in or out of markets (timing is part of risk management).
Pyramiding: a trading method, not a proper money management strategy. Is limited to a particular trade, whereas proper money management only looks at the account as a whole. Pyramiding says that as long as a particular trade is profitable, the trader may add positions since the market is moving in the "right" direction for the trader. The further the price moves in the direction of the trade, generally the more positions are added. Usually if the trade starts with only one contract, the trader will increase the position by one contract at a time. These decisions too add onto positions are not based on the size of the overall account size, just price action.
Moving Averages: are also a form of improper money management, being based entirely on price action and not account size.