Abstract: A counting element is dimensioned for sliding engagement along an outside surface of an elongated rod of an educational apparatus. The counting element includes an element body extending between first and second end surfaces. The element body includes an outer wall a plurality of inner walls disposed radially inward of the outer wall. The inner walls are operatively connected to the outer wall adjacent the first end surface and extend to a free end disposed toward the second end surface. The inner walls define a passage dimensioned to receive the elongated rod. The free ends of the inner wall portions are radially deflectable and function as biasing elements operative to generate frictional resistance to sliding movement of the counting element along the outside surface of the elongated rod. An educational apparatus includes a frame, a plurality of elongated rods and a plurality of counting elements. Methods are also included.