Rate is an important, but difficult, mathematical concept. Despite more than 20 years of research, especially with calculus students, difficulties are reported with this concept. This paper reports the results from analysis of data from 20 Australian Grade 10 students. Interviews targeted students' conceptions of rate, focussing on the influence…

This paper examines the way two 10th graders cope with a non-standard generalisation problem that involves elementary concepts of number theory (more specifically linear Diophantine equations) in the geometrical context of a rectangle's area. Emphasis is given on how the students' past experience of problem solving (expressed through interplay…

"Streaming" for mathematics remains a contentious issue and particular forms of the practice have been considered inequitable. In the study reported here, the focus was on the extent to which streaming is used for mathematics at years 7-10 in Victorian secondary schools. Also of interest were the forms of streaming adopted and the criteria for…

This paper presents a research-based framework for analyzing and monitoring students' understanding of functions in equation form. The framework consists of "growth points" which describe "big ideas" of students' understanding of the concept. The data were collected from Grades 8, 9, and 10 students using a set of tasks involving linear and…