the process of arranging elements into a cohesive whole. The point of typographic syntax is to not rely upon illustration in order to give meaning to the word. Rather, it is bringing meaning across through the arrangement of the elements, the type.
The two logos below are excellent examples of typographic syntax. The arrangement of elements (letters) or lack of letters, helps further the meaning of the word without the use of illustration. Both of these examples show the type of stuff you should be doing for class.
In the first example, blank space the lack of the a in blank and space create an empty space,
thus bringing visual representation to the word without using illustration. Simply just leaving the letter out works great.
The second example, minus takes the I from minus removes it and flips it on its side to create a minus symbol. This combined with the the empty space that is now left from where the I was also helps enhance the meaning of the word.
An important thing to remember, which I mentioned previously, is to not use illustration to bring about further meaning. You should rely on changing the arrangement of the letters to help enhance the meaning of the word, not using illustrations.