It is conduction that will transfer heat from a cooking pot to the handle.
Typically, the handle of a pot should face away from the front of the stove, particularly if there are small children that may curiously grab at the exposed handle.
The handle made of metal will be hotter, since metal conducts heat very well, and wood conducts heat very poorly.
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Conduction
pot-metal
It would get too hot
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A pot handle hanging over the stove could be grabbed by a child or bumped by an adult. This could result in someone being burned.
The word 'handle' is both a verb (handle, handles, handling, handled) and a noun (handle, handles). Examples: Verb: You can handle the mail and I will handle the phone calls. Noun: Be careful, the handle on that pot is cracked.
Epoxy, but it may be safer to get a new pot.
A pot handle on a stove