Works of art have value not only as entertainment and aesthetic expression -- they also externalize features of human cognition that would often otherwise remain hidden. A musical example from the 19th century is a striking case in point. In 1819, Austrian music publisher, editor, and composer Anton Diabelli invited fifty-one of Austria's most…

Creativity is a set of skills, a form of thinking, and a way of meeting and excelling in the demands of the 21st century. This article explores creative gaps and inadequacies that hinder the development of teacher and student creativity in classrooms. Drawing from various disciplines, this article explores the challenges schools face in nurturing…

Mathematics is foundational to integrated science, technology, engineering, and mathematics (STEM) education. Problem solving is central to integrated STEM and to the individual disciplines as evidenced by the practice standards of each discipline (e.g., Standards for Mathematical Practice, Science and Engineering Practices, and Technology and…

This chapter explores the various relationships that exist between contradictions and creativity. The focus is education, with implications for both teachers and students. Contradictions are defined and contrasted with problems, disequilibria, and dilemmae. Product, place, personality, and process perspectives on creativity as also compared. The…