A suspended lighting fixture for direct/indirect lighting having a broad light emitting surface and including a thin curved sheet of an optically transmissive material, an LED strip optically coupled to a light input edge of the curved sheet, one or more suspension elements, an elongated heat dissipating structural element longitudinally extending along the light input edge, and an opaque elongated housing at least partially enclosing the LED strip. The curved sheet may include forward-deflecting or forward-scattering elements distributed over an area of the curved sheet according to a two-dimensional pattern and configured to extract light from one location of the sheet and direct the extracted light toward a second location of the sheet.