Review the original item:
Bored with the lecture on comma splices and fused sentences, Jayson started
poking Kim with the sharp tip of his pencil finally
she whirled around, threatening to slug him if he interrupted her
learning one more time.
You wanted to fix it this way:
Bored with the lecture on comma splices and fused sentences, Jayson started
poking Kim with the sharp tip of his pencil,
as a result she whirled around, threatening to slug him if he interrupted
her learning one more time.
As a result is a prepositional phrase. Unfortunately, you cannot use a comma and a prepositional phrase to fix a fused sentence.
You might want to consult the rules for fixing comma splices and fused sentences.