Dish washer and method for controlling the same

A method of controlling a dish washer including a sump, a filter assembly, and a case brake configured to guide water received from the filter assembly to the sump and located higher than the sump to prevent a backflow of water collected in the sump to the case brake, the case brake comprising a case, an inflow tube that guides water discharged from the filter assembly to an internal flow path of the case, an outflow tube that guides water passing through the internal flow path of the case to the sump, a sump drain connection tube that guides water discharged from the sump into the case, and a drain hose connection tube that drains water discharged from the case to outside, the method comprising:

• determining, by a processor, at least one process to perform included in a washing course;
• based on the determining of the at least one process to perform, determining whether to operate a water supply valve, connected to an external water supply source, and to operate one of a plurality of flow path valves included in a filter assembly, to open or close one of a plurality of flow paths corresponding to the one of the plurality of flow path valves to guide the water supplied from the external water supply source to the case brake;
• and
• based on the determining whether to operate the water supply valve and the one of the plurality of flow path valves:
• opening one of the plurality of flow path valves at a first point in time;
• while the one of the plurality of flow path valves is opened, opening the water supply valve at a second point in time to start supplying of the water;
• and
• while the one of the plurality of flow path valves is remained opened, closing the water supply valve at a third point in time to stop the supplying of the water;
• and
• closing the opened one of the plurality of flow path valves at a fourth point in time.