In this article, the authors present a task that promotes mathematical creativity. The task focuses on defining new geometric concepts, whilst providing students with creative thinking opportunities. They discuss prospective mathematics teachers' experiences while conducting a geometric definition task. Prospective mathematics teachers who…

Providing students with opportunities to build, and test and revise ideas, can help them develop critical thinking and problem-solving skills. In this article, the authors describe how core measurement and geometry concepts were embedded within a "Model It!" task. They replicate an industry-based, interdisciplinary problem, but only…

Geometry students often wonder about the importance of construction techniques. Are they the only way to create geometric figures? What purpose do they serve? How do these techniques relate to other parts of geometry? This article introduces a project used at the high school level that gets all students in a class engaged with construction, gets…

This research aims to increase our understanding about the effects of active learning, applying problem-based learning (PBL) methodologies to increase student motivation in various graphic engineering classes. The measurement instruments included a cross-sectional survey (n = 269) carried out during the years 2015 to 2019 through triangulation of…

Issues about poor achievement in mathematics (angles and polygons topics) among Palestinian students has led to the need for developing new effective strategies that can be used to improve mathematics achievement among Palestinian 7th grade students. The aim of study is to reveal the effect of employing the mantle of the expert on the achievement…

Mathematics is employed in cultural activities in traditional and nontraditional societies. Ethnomathematics refers to mathematical ideas integrated into a culture. The culture can be used as a transformation effort to explore mathematical concepts in order to bring the mathematics closer to the reality and understanding of its people. Moreover,…

Creative thinking is the highest level of the kind of high order thinking. In observations at the schools in Indonesia, teachers overly equate all levels of achievement of students' creative thinking to obtain higher order thinking skill improvements in mathematics learning. This condition results in an imbalance in learning practices. Therefore,…

Today, technology needs to be used effectively in the structuring of learning environments where learners can learn by experimenting and exploring knowledge. Parallel to the adoption of the constructivist approach in the development of teaching programmes in Turkey, individuals should be able to live and practice developing and learning by…

Creativity is a dynamic process which generates ideas that are both novel and of value. However there is little understanding in what drives creativity in students and how to help teachers or education experts to detect creative thinking. This paper begins to address this gap by providing a platform and experiments for studying how creative…

The studies regarding how the comprehension of geometric shapes evolves in childhood are largely based on the assessment of children's responses during the course of tasks linked to the recognition, classification or explanation of prototypes and models. Little attention has been granted to the issue as to what extent the geometric shape turns out…

Geometric constructions have already been of interest to mathematicians. However, studies on geometric construction are not adequate in the relevant literature. Moreover, these studies generally focus on how secondary school gifted students solve non-routine mathematical problems. The present study aims to examine the geometric construction…

The author shares some examples from her Bulgarian project, "Mathematics Through Experience", which approaches mathematics from a practical, real-life perspective in order to develop creative thinking: just like science! What was most important to her was to motivate her students to study maths and science by giving them a taste of how…

There is a consensus among mathematicians and mathematics educators that creativity plays an essential role in doing mathematics. Creative students are self-regulated students who take control over processes and experience high self-efficacy beliefs. The aim of this case study was to promote mathematical creativity and self-efficacy of elementary…

Scissors are a unique interactive tool when successfully used, allowing teachers and students to recognize and explore each other's creative ability while nurturing mutual communication. Freehand cutting gives children freedom to create as they cut. Scissors have the power to improve fine motor skills, stimulate creative imagination, reinforce…

The author focuses on encouraging pupils to think in an open way through his discussion and illustrations of activities involving geometric shapes. (MN)