Ping and tcpdump at the same time

Try:

tcpdump -i eth0 icmp

which will list ping traffic on interface eth0.

You can use tcpdump -n icmp to filter on ping requests and replies. I added the -n switch to prevent name lookups. You might have several interfaces in your host so it might be necessary to add the -i ethX switch to specify the correct interface.

Note that the filter - icmp in this case - should be the last part of the command.