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Problem solving, knowledge representation & reorganization, explanatory coherence & inference, conceptual change, societal implications, science instruction, global climate change psychology, numeracy in journalism, naïve/informal physics, computational models of cognition, perceptual-cognitive interactions, intelligent tutoring systems, understandings of biological evolution, Reasoning, qualitative & quantitative thinking

large random combinatorial structures, random matrices, superprocesses & other measure-valued processes, probability on algebraic structures -particularly local fields, applications of stochastic processes to biodemography, mathematical finance, population genetics, phylogenetics & historical linguistics