M2 students have recently been learning about Geometry and Symmetry. Their task involved a creative and hands-on activity, creating their own unique pictures by employing various forms of symmetry, specifically mirror symmetry, slide symmetry, and rotational symmetry.

Before they could start the actual creative process, the students were required to go through a preparatory phase. During this phase, they were encouraged to explore different design ideas in draft format. The purpose of this initial exploration was to give the students an opportunity to brainstorm and experiment with various geometric concepts, patterns, and visual elements that they might later incorporate into their final artwork.

One of the key criteria for their task was that the pattern they ultimately chose to use should exhibit multiple elements. The students were encouraged to select complex and intricate designs rather than simple or repetitive ones. By opting for patterns with multiple elements, the students were challenged to think critically about incorporating different forms of symmetry into their artwork, making the task more intellectually stimulating and creatively engaging.

Here's a breakdown of the types of symmetry they were encouraged to work with:

  • Mirror Symmetry: This involves creating a design that can be divided into two identical halves by drawing a line down the centre, like a mirror reflection. It challenges students to consider balance and harmony in their compositions.
  • Slide Symmetry: Slide symmetry typically involves translating or sliding a design along a straight path to align perfectly with its previous position. This form of symmetry encourages students to think about how a design can be repeated in a coherent and visually appealing manner.
  • Rotational Symmetry: Rotational symmetry involves designing a pattern that can be rotated around a central point, with each rotation creating the same pattern. This type of symmetry often leads to more intricate and circular designs.

By integrating these various forms of symmetry into their creations, the students were not only developing their understanding of geometric concepts but also honing their problem-solving and artistic skills. Moreover, they were likely encouraged to think critically about how symmetry appears in the natural world and how it can be applied creatively in art and design. This hands-on and exploratory approach to learning Geometry and Symmetry can be an effective way to foster both mathematical and creative thinking in young students.