Gordon asks the family to bear with him
The encounter with the bears in Minnesota was part of his latest project - The Bear Family And Me.
Black bears have a fearsome reputation, but in his time filming them Gordon became confident enough to introduce them to his wife Wendy and children Lola, eight, and five-year-old Harris.
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Hide AdGordon, 38, who was brought up on Mull but now lives in Glasgow, said: "People always think I am insane to do things that I do - especially my wife.
"But, unlike human beings, animals behave in predictable ways. I have been doing this for 20 years so I can predict their pattern of behaviour.
"With the bear series, I discovered bears are greatly misunderstood. Once you learn about them and read the signs they're giving off, you can be perfectly safe."?
• The three-part series The Bear Family and Me begins tonight at 9pm on BBC2.