Learning mathematics with understanding is the vision of school mathematics recommended by the National Council of Teachers of School Mathematics (NCTM). In order to design and develop learning environments that promote understanding efficiently, teachers need to be aware of student difficulties in learning mathematics. Drawing from the research…

Students come to the classroom with theories that they have actively constructed from their everyday experiences. However, some of these theories are incomplete half-truths. Although such misconceptions interfere with new learning, students are often emotionally and intellectually attached to them. Some common mathematical misconceptions involve:…