Misconceptions are one of the biggest obstacles in learning mathematics. This study aimed to investigate students' common errors and misunderstandings they cause when defining the angle and the triangle. In addition, we investigated the metacognition/ drawing/ writing/ intervention (MDWI) strategy to change students' understanding of the wrong…

In both baseball and mathematics education, the conventional wisdom is to avoid errors at all costs. That advice might be on target in baseball, but in mathematics, it is not always the best strategy. Sometimes an analysis of errors provides much deeper insights into mathematical ideas and, rather than something to eschew, certain types of errors…

To assess enrollment trends in Michigan colleges and universities, two surveys were conducted in 1976 and 1977. Community colleges reported either fairly constant enrollments in remedial courses or slight increases; many of their students had always needed remedial work. For four-year institutions, increases were often dramatic. This is paralleled…