Burce was one of the pioneers in developing mediation as a tool for resolving commercial disputes. A professional mediator since 1985, he has helped mediation gain widespread acceptance in the United States legal system as an alternative to often costly and time-consuming litigation. Over the last 30 years, he has mediated over 7,000 disputes, ranging from two party conflicts involving business disputes, personal injury and wrongful death, to more complex environmental, insurance or construction claims. Bruce played a central role in establishing the largest and most successful dispute resolution company in the country, JAMS and, from 2011 to 2014, he served as Chairman of the Board. He mediates full-time with JAMS.

For the past 20 years, Bruce has taught advanced mediation to aspiring mediators through the Straus Institute for Dispute Resolution at Pepperdine University School of Law. He has also shared his mediation techniques and commercial experience with international audiences. In 2014, he co-founded Edwards Mediation Academy with his wife, Susan Franson Edwards, with the goal of raising the overall practical experience of people in the mediation industry throughout the world.