Eleanor Burns method uses a fusible interfacing on one side. You sandwich the fabric and fusible together. Right side of fabric to fusible side of interfacing. Sew around the shape , trim to a scant 1/4 inch around the stitched line. Make a small clip in the interfacing in the center, enough to turn the applique to its right side. The fusible interfacing will now have the the fusible in the same direction as the wrond side of the fabric. Use a bodkin or other point turner( through the clipped portion) to shape the applique into its final shape. Then fuse the applique into its final postion on the block. This method turns the raw edges under , using the interfacing as a "lining" .. the fusible side will hold it in postion while you stitch around the applique.
I prefer this method as there is no raw edge, and if done properly can closely resemble needle turn... or as close as I have seen without actually doing needle turn. Use a fine thread and a small "bite" blanket stitch to do the actual stitching of the applique on the block.
One note .... its very tempting to try to iron the applique before postioning on the quilt ( finger pressing is very useful at this point) ... make sure if you do this you have a teflon sheet or other non- stick pressing surface.
Some trim out the block fabric and interfacing once sewn, to the seam allownce that was turned under...This really gives even more of a needle turn effect.