A good way to approach a complex problem is to break it into parts using the Scientific Method . Visit RobotEd 101 and Resources to get familiar with the topic.
Research involves making observations, plus collecting and recording information.
To build and run a robot you have to register a userid and password. Once you're registered, login to the member area. Brainstorm with your team for ideas and possible design solutions. Discuss your design to understand why the robot is built a particular way. Incorporate strategies from previous experimentation and observation.