Mathematical psychology is an approach to psychological research that is based on mathematical modeling of perceptual, thought, cognitive and motor processes, and on the establishment of law-like rules that relate quantifiable stimulus characteristics with quantifiable behavior. The mathematical approach is used with the goal of deriving hypotheses that are more exact and thus yield stricter empirical validations. Quantifiable behavior is in practice often constituted by task performance. The application of math in psychology could be traced back to at least seventeenth century when scientists like Kepler and Galileo were investigating the laws of mental process .
Human memory is the result of different mental processes, such as learning, remembering and forgetting. However, these distinct processes cannot be observed directly. Researchers at the University of Basel now succeeded at describing them using computational models.
Throughout my career, my research and teaching have revolved around a single broad theme: the scientific study of human cognition. I have concentrated most extensively on the development of cognitive processes in normal and atypical children, but I have also published considerable research on adult cognition and have taught widely in that area. In recent years, my research and teaching have also encompassed questions about how cognitive processes are affected by normal aging and by the diseases of late adulthood. This, in turn, has stimulated a research program in cognitive neuroscience. Across all of these areas, a particular focus has been the relationship between memory processes and higher reasoning abilities.