To Get Burned
Intransitive verb and Ichidan verb
こげる
一定にかき混ぜることで、鍋の底が焦げることが防げるとお母さんが言っていたわ。
My mom told me that constant stirring keeps the bottom of the pan from burning.
Because the hiragana ends with an う sound, you know this word is a verb. The kanji itself means char, but the verb version is to be burned or to get burned. You're not doing the burning, of course, but you're getting burned (owch!).
The times where you were burned were mostly when you were a kid (子). That's because kids aren't good at working with hot things.