Visualizing conceptual change: Using Lakatosian conflict maps to analyze problem solvers’ structures of calculus definite integral tasks
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The work of Imre Lakatos has been influential in the philosophy of science and mathematics. His writings on how science and mathematics progress as fields have been utilized in mathematics and science education. In this study, we apply Lakatosian theory in analyzing task-based interviews. We use conflict diagrams to center the discrepant events participants experience while solving calculus tasks. In so doing, we illustrate how problem context plays a vital role in the evolution of problem-solver's structures in problem situations.