Verbal communication is called language. There are two kinds of verbal communication. One is speech. The other is writing.
If you meant "oral" communication, there are two kinds: real words and mere grunts, cries and whimpers.
If you mean "settings in which verbal communication occurs," it would include just about any human social activity: writing a letter or making a poster; having a telephone call, a class discussion, a friendly chat.
Verbal communication is the act of expressing your thoughts with words. Verbal communication is generally defined as spoken language. Tone, enunciation, pauses, loudness, emphasis, word choice, these can all be used while speaking to enhance the spoken word. Examples of this type of verbal communication: speeches, face-to-face discussions, telephone conversations, voicemail, television, radio, recorded books and seminars, videos. Speakers using sign language would be considered to be using a form of verbal communication.
In a broader sense verbal communication would also include the written word. That may include letters, faxes, emails, books, newspapers, magazines, articles, hand written notes, announcements. However, in certain areas, especially law, there would be a considerable difference between spoken and written communication.
Nonverbal communication describes the process of conveying meaning in the form of non-word messages. Research shows that the majority of our communication is non verbal, also known as body language. Some of non verbal communication includes chronemics, haptics, gesture, body language or posture; facial expression and eye contact, object communication such as clothing, hairstyles, architecture, symbols infographics, and tone of voice as well as through an aggregate of the above.
Speech also contains nonverbal elements known as paralanguage. These include voice lesson quality, emotion and speaking style as well as prosodic features such as rhythm, intonation and stress. Likewise, written texts include nonverbal elements such as handwriting style, spatial arrangement of words and the use of emoticons to convey emotional expressions in pictorial form.
More info on body language.
More info on body language.
