Geometry applied in the right way is a fantastic tool to train logical thinking. already at an early stage, children can see and understand patterns. Often it is underestimated how a young brain can already understand structures infront of him or her.
So Geometry can help to train the brain. used in the right way, children will see this as something pleasing… geometry is esthetics. The eye likes symmetry and equal parts. One feels safe when the structure is even, balanced and logic. So children of all ages have comfort within geometry and if applied and shown right, it can be and is a springboard I.e. fractions.
One should n ‘ t be scared to use metal insets and let the children explore. What are they able to create? What kind of symmetries will they make? One can halp to givr certain guidelines, like no crossing lines, the iset needs to always touch another line that was drawn, etc. The younger, of course, the simpler and for older children one can add a compass or ruler,… the options are countless.
I personally think that geometry is not given the right amount of attention in a classroom. I think as well that often the right connections, the interdisciplinary links are not made, yet one clearly does not go without the other.
I do agree that math has a very high standing and that it is important, yet when one would allow the children to dwell for longer periods of time in the geometrical realm; they will, and I mean all, profit on the long run.