A turbine shroud assembly comprising: a carrier configured to be coupled to a turbine case so as to fix other components of the turbine shroud assembly relative to the turbine case , a blade track segment comprising ceramic matrix composite materials, the blade track segment including a runner that extends at least partway about a central axis having a flow surface arranged to define a gas flow path and an exterior surface spaced radially outward of the flow surface relative to the central axis and an attachment member that extends radially outward from the exterior surface of the runner , and a mounting assembly comprising a first metallic material configured to couple the blade track segment to the carrier , the mounting assembly including a forward hanger that extends radially inward from the carrier and engages the attachment member of the blade track segment to block radially inward movement of the blade track segment relative to the carrier , an aft hanger spaced axially aft of the forward hanger that extends radially inward from the carrier and engages the attachment member of the blade track segment to block radially inward movement of the blade track segment relative to the carrier , the forward and aft hangers each having a radially-inwardly facing surface arranged in confronting relation to the exterior surface of the runner such that heat conducted from the flow surface of the runner to the exterior surface of the runner radiates toward the radially-inwardly facing surface of the forward and aft hangers , and hanger heat shields , each comprising a second metallic material different from the first metallic material, and characterised in that each hanger heat shield is arranged radially between the exterior surface of the runner and the radially-inwardly facing surfaces of the forward and aft hangers to reduce the amount of heat transfer to the forward and aft hangers from the exterior surface of the runner during use of the turbine shroud assembly . a carrier configured to be coupled to a turbine case so as to fix other components of the turbine shroud assembly relative to the turbine case , a blade track segment comprising ceramic matrix composite materials, the blade track segment including a runner that extends at least partway about a central axis having a flow surface arranged to define a gas flow path and an exterior surface spaced radially outward of the flow surface relative to the central axis and an attachment member that extends radially outward from the exterior surface of the runner , and a mounting assembly comprising a first metallic material configured to couple the blade track segment to the carrier , the mounting assembly including a forward hanger that extends radially inward from the carrier and engages the attachment member of the blade track segment to block radially inward movement of the blade track segment relative to the carrier , an aft hanger spaced axially aft of the forward hanger that extends radially inward from the carrier and engages the attachment member of the blade track segment to block radially inward movement of the blade track segment relative to the carrier , the forward and aft hangers each having a radially-inwardly facing surface arranged in confronting relation to the exterior surface of the runner such that heat conducted from the flow surface of the runner to the exterior surface of the runner radiates toward the radially-inwardly facing surface of the forward and aft hangers , and hanger heat shields , each comprising a second metallic material different from the first metallic material, and characterised in that each hanger heat shield is arranged radially between the exterior surface of the runner and the radially-inwardly facing surfaces of the forward and aft hangers to reduce the amount of heat transfer to the forward and aft hangers from the exterior surface of the runner during use of the turbine shroud assembly . <EOS>