participle phrases functions as an adverb

[keannu]

These two statements appear in a Korean English grammar book, and I doubt the two underlined. Are they true?
As far as I learned here, participle phrases describe not the main clause itself, but the subject of the main clause. And I doubt where 2 is from, which I can't find in any native grammar.

gz163
1.Participles functions as an adjective, but participle phrases functions as an adverb to describe the whole main clause.
2.Participle phrases are a phrase that simply converts an adverb clause "Conjunction+Subject+Verb" to "V+ing" and makes a sentence brief and vivid, but is not used a lot in conversation.
ex)When he saw me, he got so embarrassed.
=>Seeing me, he got so embarrassed.

 

[englishhobby]

These two statements appear in a Korean English grammar book, and I doubt the two underlined. Are they true?
As far as I learned here, participle phrases describe not the main clause itself, but the subject of the main clause. And I doubt where 2 is from, which I can't find in any native grammar.

gz163
1.Participles functions as an adjective, but participle phrases functions as an adverb to describe the whole main clause.
2.Participle phrases are a phrase that simply converts an adverb clause "Conjunction+Subject+Verb" to "V+ing" and makes a sentence brief and vivid, but is not used a lot in conversation.
ex)When he saw me, he got so embarrassed.
=>Seeing me, he got so embarrassed.

Below are two fragments from Oxford Practice Grammar by J. Eastwood, I think it's what you need.

 

[keannu]

Thanks a lot! The links are the ones where I saw such decompositions of participial phrases for the first time. Anyway,
I don't know if the following is correct .

1.Participles functions as an adjective, but participle phrases functions as an adverb to describe the whole main clause.

 

[5jj]

Participles can function as adverbs: He came running.