Appendix 3: A Sample of the Tasks Included in the Interviews on Prospective Teachers' Intuitive Understanding of Rational Numbers

1. Construct as many different representations as possible for 1/3, 2/3, 5/3, 1/2 + 1/3.



2. Comment on the appropriateness of the following attempts to represent 1/3.





3. Find the unit of the following, stated fractional parts:





4. Identify critical features of representations of 1/3.