We present action research of a problem posed as part of a multi-participant national (Israeli) test checking the mathematical knowledge of high school students at the ages of 16-17, where some of those who solved this problem made an error by using the converse to a well-known theorem, where the converse is not true. In order to examine the…

A newspaper article about the availability of guns in Chicago, presented at a mathematics education conference in that city in 1998, is linked to a tragic shooting near that city in 2022. The article was used in Australia for many years in research with teachers and students to assess statistical literacy in relation to sampling, until ethics…

In this article, we present in-depth content knowledge required for preservice and practicing physical education teachers to teach korfball. We begin by describing knowledge of game rules, safety, etiquette, techniques, and tactics of korfball, which refers to common content knowledge (CCK) and continue with defining knowledge of student errors,…

The academic demands of classroom English require students to think about language structure in ways that they are not used to. Everybody "knows" much English grammar intuitively but the academic rules themselves can be difficult to articulate. This goes for punctuation, too: errors often reflect students' lack of explicit knowledge of grammatical…

This article presents a framework for the cognitive diagnosis of learners' errors in an interactive learning activity occurring in an intelligent learning environment. The proposed framework supports the implementation of an authoring tool. This tool helps instructional designers to specify the features of a component for cognitive diagnosis. Two…

This paper analyzes "confused history" on the part of students and where that confusion might originate. The study is based on a modified form of content analysis of articles by R. Lederer. The articles offer a compilation of student errors in history and geography. Two major categories of errors are recognized: (1) Type I, represented by errors…