The present invention provides a computer-implemented method of problem solving that includes graphically displaying a plurality of concepts, dynamic links between the concepts, and solving a problem based on the displayed concepts and dynamic links. Other embodiments include: a computer-readable medium having instructions thereon for causing a suitably programmed information-processing apparatus to perform a method of the problem solving that includes graphically displaying a plurality of concepts, displaying dynamic links between the concepts, and solving a problem based on the displayed concepts and dynamic links. Still other embodiments include a computerized apparatus that includes a display output unit, a display drive unit that causes a plurality of concepts to be displayed on the display unit, and that causes dynamic links between the concepts to be displayed, and a solution unit that solves a problem based on the displayed concepts and dynamic links, and that displays the solution.