It is a button broach... pin... thing... worn especially so the students who watched me stitch it together could see it worn the next day :-)
The "scarf" is a scrap of black polyester trimmed off one of my dance skirts, or maybe culottes, I can't remember which. RECYCLED ACCESSORY GLORY!
For kicks, here's a picture of a "hat" I custom-made for a friend. Had to remake it three times to fit him exactly. He insisted it wasn't to be a yarmulke, although I made it yarmulke-style. "Hat". Hmphf. :-)