Well, a cell has 2 copies of each chromosome right? Okay, easy enough. But, Meiosis produces 4 gametes from one parent cell. So, it first duplicates its existing chromosomes, and there are at this point 2 chromatids per chromosome. In Meiosis 1, these line up on the metaphase plate and divide, creating 2 haploid cells. In Meioisis 2, those 2 daughter cells divide again, and those two chomatids are pulled apart into separate chromosomes. Take this diagram for example. The square brackets indicate individual cells. The pipes are chromatids, and the tildes indicate where those chromatids are joined together on the same chromosome.
Before Meiosis... [ |~| |~| ]
After Meioisis 1... [ |~| ] [ |~| ]
After Meiosis 2... [ | ] [ | ] [ | ] [ | ]
Kinda hard to see through a text diagram I know, haha, but I hope you can see that the parent cell has 4 times the amount of genetic material as each daughter cell (gamete).