Chapter 12: Problems and Goals: Using Information to Arrive at Solutions

Problem-solving represents a fundamental cognitive capacity through which individuals identify obstacles, mentally represent challenges, and work toward achieving desired outcomes. This chapter examines the diverse mechanisms and strategies people employ when confronting problems, including heuristics—mental shortcuts that expedite decision-making—and algorithms—systematic step-by-step procedures that guarantee solutions when properly applied. A critical distinction emerges between well-defined problems possessing clear starting states and goal states versus ill-defined problems lacking explicit parameters, as well as between routine problems requiring standard procedures and nonroutine problems demanding novel approaches. The chapter analyzes how cognitive constraints such as mental set, the tendency to apply previously successful strategies regardless of current appropriateness, and functional fixedness, the inability to recognize alternative uses for objects, systematically impede efficient problem-solving. Multiple theoretical traditions illuminate problem-solving processes: behaviorist approaches emphasize observable behaviors and reinforcement, Gestalt psychology highlights sudden perceptual reorganization and insight, and contemporary cognitive frameworks stress information processing and mental representations. Expertise development emerges as a complex phenomenon wherein domain specialists recognize meaningful patterns, access organized knowledge structures, and employ long-term working memory to retrieve relevant information rapidly. The chapter further investigates how analogical reasoning—transferring solutions from one domain to structurally similar problems—facilitates creative breakthroughs, while incubation periods of unconscious mental processing contribute to innovative insights. Additionally, stereotype threat, the anxiety arising from negative stereotypical associations with particular groups, can substantially diminish problem-solving performance in affected individuals. Together, these concepts reveal problem-solving as neither purely individual nor purely cognitive, but rather as a complex interaction between mental strategies, environmental constraints, learned knowledge, and psychological context that collectively shape how humans generate and implement solutions.