Adult developmental mathematics students often work under great pressure to complete the mathematics sequences designed to help them achieve success (Bryk & Treisman, 2010). Results of a teaching experiment demonstrate how the ability to reason can be impeded by flaws in students' mental representations of mathematics. The earnestness of the…

Argues that the challenge for teachers of algebra in Australia is to find ways of making the structural aspects of algebra accessible to a greater percentage of students. Uses the zero product principle to provide an example of a common student error grounded in the difficulty of understanding the structure of algebra. (DDR)

Presents an account of one teacher's path to realizing the depth of intuitive beliefs about science. Organizes chemistry misconceptions into eight patterns of reasoning that include thinking rules and alternative conceptions. (DDR)

Provides information about hypnosis. Uses research data to define hypnosis, discuss the relationship between hypnosis and memory, and present some possible benefits. Includes a chart with some common misconceptions about hypnosis and the corresponding true statement. (DDR)

Raises a number of questions about knowledge generation from mathematics education and the nature of pedagogical information in the field. Considers two main activities within the realm of mathematics education: (1) pursuing investigations to improve instruction and (2) redefining the boundaries of mathematics as a subject. (DDR)

Investigates Grade 12 students' understandings of the nature of chemical bonds and the energetics elicited across five familiar chemical reactions following a course of instruction. Discusses the many ways in which students can misconstruct concepts and principles. Contains 63 references. (DDR)

Provides a comprehensive review of literature regarding misconceptions that are held by secondary students in chemistry. Makes some recommendations based on the research. Contains 77 references. (DDR)