The turning point of the 20th century to the 21st century triggered the change in paradigm which established a new system and was the time period during which a branch of art named post-modernism was created, resulting in modern art based on pluralism, a new ideology. Moreover, as a methodology for the comprehension of modern art, it accepted the dissection from human biology, and fractals and chaos theory from natural science. Therefore, in art education, it is imperative that a change which could accept the altered paradigm takes place in art education, and perceiving the aspects of modern art and current events in elementary art education in the perspective of fractals is helpful in boosting such a change. Though elements of fractals nesting, duplicate, kindredness of parts, array, irregularity are appearing naturally post- modern art and child art and are converted to element meaning enemy from element form new meaning department about it, emphasis by repeat, have to be understood by relation with arrangement of centers of contents and meaning, value, characteristic of culture not that is reinterpreted and grasp fractals meaning in form simply to, now, past simultaneity, circularity of nature, meaning that is the future in time. Fractal phenomenon of post - modern art education of art of area that is magnified as sight culture education that new paradigm is applied is in child art education is required and research of art education is various and width previews that can be achieved for more affirmative and worth direction through sight and underground groupings and specific methodologies that such underground evening twilight dusks can be applied in art education remain to subject that must be become succession research.