According to our approach to mathematics education, the optimal aim of the teaching of mathematics is to assist students in achieving efficient mathematical work. But, what does efficient exactly mean in that case? And how can teachers reach this objective? The model of Mathematical Working Spaces with its three dimensions--semiotic, instrumental,…

Disciplinary literacy encompasses not only the ability to read the texts of a discipline, but also to engage in the practices and discourse of that discipline. At the center of the discipline of history is inquiry. For these students to move from their ninth grade expectations about history toward the authentic discipline of history, they would…

Suicide remains the third leading cause of death among young people in the United States. Considering that youth who contemplate suicide generally exhibit warning signs before engaging in lethal self-harm, school-based mental health professionals can play a vital role in identifying students who are at risk for suicidal behavior. Nevertheless, the…

In instructional multimedia design, it is often recommended that text accompanying pictures be presented in a personalised style to promote learning. The superiority of personalised over formal text is may be explained using social agency theory (Mayer, 2005b), but it has not been investigated empirically whether such effects are valid in…

One possible approach students can cope with abstract algebra concepts is reducing abstraction. This notion occurs when learners are unable to adopt mental strategies as they deal with abstraction level of a given task. To make these concepts mentally accessible for themselves, learners unconsciously reduce the level of the abstraction of the…

To probe beyond declarative knowledge about real numbers in secondary school, the authors interviewed students in Grades 9, 10 and 12. The main question seems to be whether the length of a decimal expansion is "indefinite" or "infinite." It blurs the mental representation of rational numbers as well. (Contains 3 footnotes.) [For complete…