It is in the nature of switches that you will only see either broadcast packets or traffic that has your MAC address as a destination, that is one of the crucial differences between a switch and a hub.
It is possible for most switches to be configured to copy traffic from one port to another, this is commonly done for monitoring purposes, but that has to be done via administrative access to the device.
You can manipulate the switch's behavior by means of ARP-Spoofing. But be cautious! Doing so might be seen as a criminal act.
So be sure that you're allowed to do so in the lab, sometimes that's OK if it serves the educational purpose. Ask your supervisor or the school's administrator.
My weapon of choice for such things is Ettercap.
A far less intrusive approach would be to use one of your own switches and configure it to forward all traffic. Then you can connect one port as an uplink to the lab's switch, one port to the device under test and one port to your machine running wireshark. (I would recommend using tcpdump for capturing, though.) If you don't have a manageable switch at hand, you can also use a router running OpenWRT.
