This paper indicates that prospective teachers' familiarity with theoretical models of students' ways of thinking may contribute to their mathematical subject matter knowledge. This study introduces the intuitive rules theory to address the intuitive, "same sides-same angles" solutions that prospective teachers of secondary school mathematics come…

In this study of deaf high school students, imagery and familiarity were found to be the best predictors of geometry word recall, whereas neither concreteness nor signability of the terms was a significant predictor variable. Recall of high imagery terms was significantly better than for low imagery terms, and the same result was found for high-…

A method for teaching problem-solving skills to mathematics students is presented. By subtly incorporating engineering applications, the students are simultaneously exposed to an effective outreach programme. The process includes offering a complex problem that challenges students' abilities. Before allowing the students to become frustrated, the…

A random sample of 167 secondary special and general educators who taught math to students with emotional and behavioral disorders (EBD) and learning disabilities (LD) responded to a mail survey. The survey examined teacher perceptions of (a) definition of math; (b) familiarity with course topics; (c) effectiveness of methods courses; (d)…

This paper addresses the accumulating knowledge of prospective teachers of secondary school mathematics and their acquired proficiency during the course "Psychological aspects of mathematics education," in which we discussed theoretical models including the intuitive rules theory. Participants' performances are examined by means of an extensive…

"How can this Abstract Algebra course help me to teach Algebra in high school?" To professors of prospective mathematics teachers, this type of question has a resounding familiarity. Because students are unclear as to the relationship between upper division mathematics courses and the high school curriculum, answering the opening question to the…

Parents of upper-secondary students in public schools in New South Wales, Australia, gave accounts of their experience of education and their wider thinking about educational issues. Working-class families are bearers of educational histories which are often difficult or truncated, leaving parents with little familiarity with upper-secondary or…

This pilot study explores the use of Internet Relay Chat facilities such as ICQ in an independent-use mode, as a vehicle for potential English language enhancement. In a small-scale study, a number of Hong Kong secondary school students (Grades 7-10) agreed to participate in an on-line "chatting" programme (in a text-only mode) for a minimum of 20…