In mathematics education, a vast amount of research has shown that students of different ages have a strong tendency to apply linear or proportional models anywhere, even in situations where they are not applicable. For example, in geometry it is known that many students believe that if the sides of a figure are doubled, the area is doubled too.…

Research on conceptual change is still a powerful framework for empirical investigations on students' learning of science. During recent years, an increasing body of research has explored students' concepts prior and subsequent to instruction, leading to an extensive documentation of students' concepts including the difficulties and opportunities…