Final answer:
The independent clauses in the sentence 'I normally like to run,but today I am walking' are 'I normally like to run' and 'today I am walking.' The coordinating conjunction 'but' indicates a disagreement or contrast in the action usually preferred and the action chosen today.
Step-by-step explanation:
The sentence you are asking about contains two independent clauses: 'I normally like to run' and 'today I am walking.' These independent clauses are joined by the coordinating conjunction 'but', which is used to show a disagreement between the two clauses. In the first clause, the action of liking to run is presented, and in the second clause, there is a contrast with the action of walking instead. Therefore, 'but' is indicating that there is a deviation from the usual preference to run.