The invention relates to an exhaust gas heat exchanger in an exhaust gas recirculation arrangement. The heat exchanger includes a plate stack which is surrounded by a housing. The plate stack can include two plates which are connected at their longitudinal edges to form a flat tube which contains a turbulator through which exhaust gas flows. The heat exchanger can also include a coolant duct which is equipped with flow directing elements arranged between two flat tubes. In order to make the exhaust gas heat exchanger more resistant to changing temperature stresses, the invention provides that the flow directing elements can be formed from a corrugated plate in which ducts with inlets and outlets are formed. At least some of the ducts in the inlet area of the coolant have a nonlinear profile so that changes in length are permitted between the plate stack and the housing.