The paper introduces the notion of collateral creativity as an unintended outcome of the appropriate use of technology, both physical and digital, in the teaching of mathematics. The notion is motivated by Dewey's conceptual framework of collateral learning which enables one gaining knowledge beyond the intent of the traditional curriculum.…

An allegorical thought experiment occurring in a pseudo Huxleyean world in the future is conducted, in which "Euclidean" geometry has been forgotten and can only be retrieved by traversing backward in time, physically and virtually by two protagonists, Alpha and Beta, inspired by the challenge issued by their teacher Aleph 1. In the year…

Because creativity is an essential 21st century skill that must be developed in gifted and talented student populations, it is important for gifted and talented programs to nurture mathematical creativity. To shed light on this topic, this article explores three questions: What is mathematical creativity? How can we develop students' mathematical…

In this article I provide a preliminary review of Radford's ideas about the poetic role of theory and his work on moments of poesis in terms of its appeal and usefulness in research contexts. In light of the mathematics education community's call for more attention to be given to the aesthetic elements of learning mathematics, I conclude that…

This article serves as commentary on the papers featured in the issue. Accordingly, these papers and the questions raised in them form the basis of its discussion. The papers, in turn, are addressing numerous aspects of creativity and working with the mathematically gifted, an area of study that has attracted considerable scholarly attention in…

Originally published as a special issue of the "Creativity Research Journal," this volume gives a balanced and reflective account of the challenges and opportunities of technology-enabled creative learning in contemporary societies. Providing a current and updated account of the challenges posed by the Coronavirus to online education,…

This paper proposes a theoretical framework for interpreting the content found in mathematics curriculum in order to offer teachers and other mathematics educators comprehensive conceptual tools with which to make curricular decisions. More specifically, it describes a metaphor of "mathematics curriculum as story" and defines and…

This article describes some of the results of the European project mcSquared (http://mc2-project.eu/) regarding the use of Op'Art and optical illusion pieces as a tool to foster modeling and creative mathematical thinking in students. We present briefly the c-book technology and some results we got experimenting it. The Op'Art movement, with…

Mathematical discourse is often described as abstract and devoid of human presence, yet many school curricula espouse an aim to develop active, creative mathematical problem posers and solvers. The project The Evolution of the Discourse of School Mathematics (EDSM) developed an analytic scheme to investigate the nature of school mathematics…

Every three years, the Programme for International Student Assessment, better known as PISA, evaluates 15-year-old students around the world to determine how well their education system has prepared them for life after compulsory schooling. Once the results are published, the media rush to compare their countries' positions in the international…

Mathematical creativity is rooted in the intellectual abilities and personality traits of each individual, in which the direct influence of education is only moderate. However, education could have more influence on three important components of creativity: expertise, original thinking, and intrinsic motivation, which underlie individual creative…

The dictionary definition of constraint is one-sided, solely restrictive. The problem-solving definition is two-sided. Constraints come in pairs. One retains its restrictive function, precluding something specific; the other directs search for its substitute. The paired constraint model is applied to both domain and classroom. I discuss the…

In the Western developed world, the language of 21st century competencies, also referred to as 21st century skills or competences, is a powerful means of drawing attention to links between the secondary school curriculum, post-secondary education, and the social and economic imperatives of the developed economies. This paper will analyze different…

The term "orchestration", has been used to describe the teacher's role in activity settings incorporating interactive technologies. This musical analogy suggests pre-planned manipulation of events to generate "performance" leading to learning. However, in two recent projects we have observed how effective teaching and learning…

The Afterschool Alliance, in partnership with MetLife Foundation, is proud to present the second in its latest series of four issue briefs examining critical issues facing middle school youth and the vital role afterschool programs play in addressing these issues. This brief explores afterschool and arts enrichment. The arts have the remarkable…