Inequalities are one of the foundational subjects in high school math curricula, but there is a lack of academic research into how students learn certain types of inequalities. This article fills part of the research gap by presenting the findings of a study that examined high school students' methods of approaching absolute value inequalities,…

We studied students' conceptions of correctness and their influence on students' correctness-related practices by examining how 159 students had analyzed the correctness of error-free and erroneous algorithms and by interviewing seven students regarding their work. We found that students conceptualized program correctness as the sum of the…

Worldwide teachers are faced with the task of continuously facilitating and implementing educational reform that has been designed without their participation. This exclusion of the key agents, who must mediate between the change agenda and actual change in the classroom, from the planning and decision-making processes, is detrimental to…

There has been a broad wave of change in tertiary calculus courses in the past decade. However, the much-needed change in tertiary pre-calculus programmes--aimed at bridging the gap between high-school mathematics and tertiary mathematics--is happening at a far slower pace. Following a discussion on the nature of the gap and the objectives of a…

Administered questionnaires to 35 science teachers to test the hypotheses that teachers holding constructivist beliefs are more likely to detect alternative conceptions, have a richer repertoire of teaching strategies, use more effective teaching strategies for inducing conceptual change, and report frequent use of effective teaching strategies.…