The first thing to do is to please tell us exactly what you have attempted to do already and how you know it didn't work.
Second, the Nero Burning ROM software is used by many of us, but it is by no means required. There are other programs that have similar functionality.
Third, not all stand-alone DVD players play DVD-R or DVD+R. Some will only play original discs. Some players will even be picky about which brand of DVDR you use. Others will happily play all formats. Check the manual or specs for your stand-alone player and see if any recordable formats are officially supported. Even if the specs don't list any supported recordable formats, that doesn't mean that it might play them anyway. The ancient Panasonic player I have upstairs was purchased before dvd burners were available and it plays all DVD+R and DVD-R discs I have thrown at it.
And just because the recordable disc plays on one player, that does not necessarily mean it will play on your nephew's player if it's a different model than yours.