ABSTRACT
Mental geometry is geometry performed without any representational aids in the form of sketches or physical objects. The task invites a person to see and manipulate a geometric shape in their imagination in order to solve a mathematical problem: it is geometry in the mind’s eye. Perhaps the most concise definition of the Mathematical Imagining routine follows: The Mathematical Imagining routine includes rich math tasks students work on mentally, based entirely on their own mental images. Guided imagery activates an individual’s imagination and appeals to listeners’ emotions. It can be used in the classroom setting to combine intensity and relaxation in order to lead learners into a state of relaxed attention and to facilitate their learning processes. Mathematical Imagining tasks break down this narrow, static view by taking account of individual mental images and focusing on a kind of “math in the making”.
