Concrete wall supports that reduce or eliminate wall movement due to exterior horizontal forces. One support is a bracket mounted to a floor joist with a plate extending below the top of the wall and two legs extending from the plate and attaching to the joist. One leg is above the concrete wall on one horizontal side of the plate, and the other leg is on the opposite side of the plate. Another support has a plate that extends below the top of the wall with two legs on opposite sides of the joist above the wall. A leg attaches to the lower edge of the joist. A support against shear forces includes a highly water permeable aggregate composite disposed in the voids of the wall, with a supportive strip that is enclosed in the aggregate composite and extends out of the voids to the face of the wall.