Little is known about the naturalistic development of mindfulness in adolescence and how it relates to changes in emotional well-being. The current longitudinal study examined the development of one dimension of mindfulness, nonreactivity to difficult inner experience (or in more colloquial terms, being able to notice, but "take a step…

This article reports on students' problem-solving approaches across three representations--number lines, coordinate planes, and function graphs--the axes of which conventional mathematics treats in terms of consistent geometric and numeric coordinations. I consider these representations to be a part of a "hierarchical representational…