Shodō is writing kanji in the traditional manner using brush and ink. It can be considered an art form, separate from simply putting pen to paper to communicate.  Most children in Japan learn calligraphy in elementary school. It is also a popular hobby among adults.

Kinjō Kaichō compared the three types of shodō to the three levels of kata performance, shokyu, chūkyū and jōkyū. First, a little about kanji and shodō.

Kanji

Ancient Japan did not have a written language of its own. The Chinese writing system was first introduced to Japan in the 5th century via the Korean peninsula. Therefore, China, Korea and Japan all share the pictorial characters called kanji, with variations that have crept in over the course of time.

A single kanji consists of several to many strokes produced in a defined order and carefully balanced.  The strokes may include sweeps, bars, corners, hooks, curves and dots.  Kanji can be as simple as two strokes but may also be very complex.  For example, the kanji 孝 has seven strokes: three horizontal bars, a vertical bar, a sweep, a corner and a hook.  Historically, the single most complex kanji had 108 strokes, but fortunately this kanji was replaced by a more manageable modern version.

A word in Japanese can be made up of one or more kanji.  Thus, karate is written as two kanji (空手) and kobudō as three kanji (古武道).

Shodō (書道)

There are three main types of shodō:

Kaisho

Gyōsho

Sōsho

Examples of Shodō

Kaisho楷書printingsquare style
Gyōsho行書semi-cursivemoving style
Sōsho 草書cursive (highly stylized)grass style
Kanji is Dream (yume) 夢by Eri Takase

How Shodō Relates to Shokyū, Chūkyū and Jōkyū

The relationship of kaisho to shokyū is obvious. The goal is accuracy of technique. Many repetitions are required to reach an accurate duplication of the model.

Western calligraphy stripped of any useless decorative strokes but gave much importance to proportion, slant and spacing. However, Jenkins’s method did not care for speed, to the contrary, slowing down was the best way to obtain the almost mathematical perfection of form that was desired… These theories were echoed in other copybooks during the first half of the 19th century, they are at the roots of the Engrosser’s script that is still used today https://pennavolans.com/19th-20th-penmanship-in-the-usa/

To practice Japanese zen calligraphy, you must have a clear, focused mind. Such a state of mind will allow you to execute your brush strokes confidently, fluidly and emotively. Every symbol is entirely unique, depending on who drew it and when they drew it. Therefore, each symbol that is drawn can never be identically replicated. 

The strokes in every symbol are drawn more quickly and must convey fluidity and motion. You can be more creative with this style, and more relaxed in your approach.

you cannot develop your sosho approach without mastering the kaisho approach first.