The Team's Tasks area gives you a birds eye view of what your team is working on. Tasks can be viewed in a Simple, Table and Board view.
The Simple view allows you to group tasks by Projects, Due date and Priority. On top of that you can use various filters to see only the tasks you're interested in.
The Table view gives you the same group by Projects, Due date and Priority options but gives you the option to display everything about the task in a spreadsheet type of view, so you can easily select what data you want to display or sort by.
The Board view gives you a more visual way of checking the state of your tasks, based on the workflows you've set up and the different stages each workflows has. The filter option here also allows you to filter tasks for specific workflows so you can focus only on those tasks on top of the basic filters from the other views. You can move the cards from one column to another by using drag and drop.