The significance of mathematical creativity cannot be undervalued. Encouraging creativity in learning can increase student rigor, foster greater learning engagement, and promote a thirst for knowledge both inside and outside of school. However, researchers have identified that research on mathematical creativity has not been foregrounded.…

In the current realm of education 4.0, teachers play a pivotal role as facilitators of holistic skill development. The shift in focus towards accentuating creativity, communication, critical thinking and collaboration (4C) skills signifies an acknowledgment of the changing demands brought about by the industrial revolution 4.0. This transformation…

There has been a renewed interest in creativity as a twenty-first century skill in K-12 mathematics education. However, previous research has paid less attention to creative actions than to other learning outcomes, which are often product- instead of process-based, especially in a programming context. Thus, situated in the context of mathematical…

In this paper, we present a novel approach to defining, teaching, and assessing creativity by examining its origins and delineating the processes involved. The rationale for introducing this framework developed from studying existing thinking and questioning the current metrics for measuring creativity, which we posit are unfit for purpose. We…

Following recent increases in the diversity of students, technologies, pedagogies and environments, New Zealand classrooms are sites of growing complexity. Tasked with covering a broad range of disciplines within each school day, opportunities for subject integration are of increasing value to busy teachers. Developing upon a previous piece of…

In this article we intend to analyze the effectiveness of an educational program of mathematical creativity, designed for learners aged 10 to 12 years, which has been implemented in an urban school of Iasi, Romania. This analysis has both a psycho-educational dimension and a statistical analysis one. The psycho-educational dimension refers to the…

There are, it seems, few instances when "unintended consequences" are regarded as having a positive and beneficial effect. Here a well-used activity takes on a "life of its own" as a result of the enthusiasm of the learners. The outcome provides insights for all those involved, including the "teacher". Maybe it is…

Great strides in the real world are usually accompanied by failure. Mathematics teachers should accept some failure as their students take risks during mathematical explorations. This is not to imply that students should fail an entire course, but they should have opportunities to take risks that may lead to failure, especially in the area of…

Parents and teachers occasionally express concern that their children are too focused on the discovery of mathematics. The author remembers clearly one upset father who told him, "Just teach my daughter what she needs to know. Don't worry if she understands why it works. She just needs to know how to get the right answer." The author agrees with…

Teachers in the UK and elsewhere are now expected to foster creativity in young children (NACCCE, 1999; Ofsted, 2003; DfES, 2003; DfES/DCMS, 2006). Creativity, however, is more often associated with the arts than with mathematics. The aim of the study was to explore and document pre-service (in the UK, pre-service teachers are referred to as…

The author provides an account of launching a new branch at the Institute of Education at Reading University, a joint branch with the Mathematics Association. In the inaugural meeting, teachers had gathered to explore the theme of creativity in learning mathematics. The workshop provides some indication of the creative spirit these teachers…

With an increasing emphasis on creativity and innovation in the twenty-first century, teachers need to be creative professionals just as students must learn to be creative. And yet, schools are institutions with many important structures and guidelines that teachers must follow. Effective creative teaching strikes a delicate balance between…

We discuss approaches to develop and improve habits of mind in our students. Several illustrations and strategies are offered and we demonstrate how popular culture and mystery can be used to motivate students. We offer an approach to assessing the work ethic efforts of our students based on an historical approach used at the United States…

In this article, the author describes his categorization of practical mathematical tasks using drama, body maths, and a host of outlandish props. He categorizes the lessons under three headings--demonstration, teamwork, and creative display--partly as a means of furthering the invention of more activities within each classification. His…

In this article, the authors reflect on a very different form of ITT assessment--"patchwork text"--wherein the learner provides several small pieces of work, or "patches", which are "stitched" together with a reflective commentary, written once all of the patches are complete. Each piece of work should stand alone,…