Abstract

We use mathematical problems with varying levels of difficulty (easy, intermediate, difficult) to test whether the error rates of human problem solvers depend monotonically on the problems’ level of difficulty. In an experiment with 45 students, we observe a non-linear dependence. The hypotheses tested relate to whether the function type of the error rate depends on individual characteristics and/or the IQ of a subject. Our data shows that the different types of non-linearity (U-shaped and inverse U-shaped) depend on openness in the NEO-FFI but not on the subjects’ IQ. We discuss our results in the context of problem solving in computer science, especially complexity theory, and motivation theory.

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