Ria:
A grammar question asks you to change these
verbs to adverbs or other similar exercises.
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I agree with Russ that this is generally too limited a definition of a grammar exercise (at least in the way it is used by most of the ESL/EFL teachers I know). I teach grammar classes in the US, and rarely if ever ask this type of question on a grammar test.
For me, grammar tests ask students to use grammar structures in a task of some kind. There are a huge variety of what these types of exercises might be (not to say all of these are used on standardized tests in China, but to illustrate what a grammar question/exercise is for me). They could be such things as a reading passage with blanks and the bare form of a verb given, and in which students must fill in the verb in an appropriate tense. The exercise could be a passage in which students are asked to add adjective clauses to modify three nouns in the passage. They could also be at the sentence level, an exercise in which students are given words and are asked to use them to construct a sentence that includes a noun clause.
I do include a few grammar terms on quizzes (not tests) because it is useful for students who wish to be active independent learners to know these terms when they want to locate information about use of a particular structure.
Karen Stanley
http://karen.stanley.people.cpcc.eduCharlotte, North Carolina, USA