First, let me say that I do not consider anyone who does not understand this "ignorant". I am sure my understanding of this is flawed as there is much room for error. I believe that a portion of the people responsible for promoting this referendum may well not understand it.
For starters, here's a few web links. This first one has a nice simulation applet. The "Yes" camp's site. This site may be hard to look at but has tons of info.
Basically, rather than simply having he who gets to most votes win, the entire constituency, ballot, and seating changes. The province gets divided into electoral district, (see this example) each with a number of legislative seats available and a number of candidates. Then, when voting, the voter, rather than simply checking only one candidate, supplies (may supply really) a ranking of candidates in order of preference. I.E. Put a "1" beside your favorite candidate, a "2" beside your second choice, and so on. At the end of the day, there is a brutal iterative counting process best demonstrated in the applet referred to above. In a nutshell, by summing the ballots and dividing by the number of seats, you get a number of votes that a winning candidate must meet or exceed. Now, when say 100 votes go to a given candidate, but only 48 are needed for the win, the second choice on ballots are taken iinto play. In this way, all the people who cast a now-unnecessary "1" for the winning candidate do not have their votes wasted. Instead, their "2" candidate votes are counted along with the "1's" from the ballots that shared the former "2's" candidate. *Blah* I hope that follows. This process continues until all choices are counted, winning candidates are assigned.
David Suzuki attempted to explain this on CBC last night to no avail, and seeing my explanation, I am sure you can see room for failure in explaining. The best way to understand it is to work through a mock election with very few candidates/parties/ballots in a single electoral district. This was totally skipped in the nice glossy mailout from the government.
Does this shed light on the process to your satisfaction?