This document discusses a study on the extent of critical and creative thinking displayed during problem solving among students attending a mathematically talented youth program. The study aimed to examine students' ability to solve non-routine problems creatively. It posed three research questions regarding the types of thinking used by students, their level of creativity and aesthetics in problem solving, and whether mathematical thinking relies solely on prior knowledge and skills. The document provides examples of non-routine problems and definitions of mathematical creativity and aesthetics.