More confusing for an American than a Brit, perhaps? In the UK, purses contain credit cards and small change, and go into handbags. In America, billfolds or pocketbooks contain credit cards and small change and go into purses.
Because "this bag" is "this bag here" and "that bag" is "that bag over there".
Doesn't Tasche also mean pocket? It did earlier in the lessons. So 'The woman needs this pocket' should be correct, shouldn't it? I certainly need pockets.