Although absolute value is of interest to mathematics teaching researchers, since many students face problems with it, there does not seem to be an integrated record of students' errors. The present study attempts to conduct a systematic review to identify and categorize errors and misconceptions of secondary school students aged 12-18 concerning…

The acquisition of number conservation is a critical step in children's numerical and mathematical development. Classic developmental studies have established that children's number conservation is often biased by misleading intuitions. However, the precise nature of these conservation errors is not clear. A key question is whether conservation…

Persistent conceptual bugs exist in how novices, from primary school to college age, program and understand programs. These bugs are not specific to a given programming language but appear to be language-independent. The three different classes of bugs are: (1) parallelism, the assumption that different lines in a program can be active at the same…

Presents a conceptual framework and notation for learner modelling in intelligent tutoring systems based on the computational distinction between behavior, behavioral knowledge, and conceptual knowledge and between the system, the learner, and the system's representation of the learner. Approaches to learner modelling based on a review of the…