Because it is good for your hands and eyes, your mind, your imagination, and the well being of your spirit.
Folding circles demonstrates a process of Wholeness beyond all other shapes and forms. Given the circle is Whole, thus self-referencing, then everything is in the circle. It is then a process of how to get some of that everything out from the circle. The reasoning of a first grade student when faced with this problem and a paper plate circle in front of him, suggested we make space. His solution for making space was to fold the circle in half. That of course is the first thing to do.
As a compressed sphere, folding the circle in half defines spherical space, at the same time decompressing spherical information revealing a systematic and informational process about pattern generation and reformation. The most obvious connections to what is generated by folding the circle are geometry, mathematical functions, and elements used in the visual arts. The proportions, ratios, and symmetries described in all fields of study, first observed in nature, are inherent in and revealed by folding circles.
It turns out that the circle reveals principles and patterns in the first fold that are fundamental to all subsequent folding, reforming, transforming, and joining to develop complex systems. This kind and amount of demonstration does not occur anywhere else in one place. There is no mathematical calculating necessary; only a sequential touching one point to another and creasing. Observation about movement and change is an important part of this simple, yet comprehensive process. It is unity of the Whole that generates and regulates the sequential development of differentiated, discreet, individual parts within the circumference boundary. There is nothing arbitrary, ambiguous, or limiting about folding and joining circles.
In contrast to using the circle as a symbol for zero, that stand for nothing, through the simple act of folding the circle in half, not only does the world of mathematics become immediately accessible, (over 50 functions in the first fold) but as we continue to fold it becomes clear what works and what does not work, revealing the mechanics of pattern formation and principles appropriate to all structural relationships. This process expands our understanding about learning the language of mathematics, making it experientially accessible at primary grade level to students with all kinds of learning abilities.