Mounce attended Santa Clara University and graduated in 1981 with a BS in Chemistry, he received his D.D.S. from Northwestern University Dental School in 1985, and a certificate in Endodontics from the Oregon Health & Science University (OHSU) Endodontic Program in 1991. He has lectured extensively worldwide and is widely published in endodontic trade magazines, including Dental Economics and Dentistry Today. Mounce is not only dedicated to the advancement of the field of endodontics, but equally focused on donating dentistry to areas of the world that are in need. He is licensed to practice in the Republic of Palau and visits often.
Since 1989 he is the President of American Association of Endodontists nd has a private practice in Rapid City, South Dakota. Mounce is married with twin daughters. He is an avid scuba diver favoring technical wreck and cave diving.
- Mounce, Richard (September 1, 2010). "Choosing an endodontic obturation technique: Part 1". Dental Economics. Retrieved December 27, 2010.
- Mounce, Richard (November 1, 2010). "Choosing an endodontic obturation technique: Part 2". Dental Economics. Retrieved December 27, 2010.
- Mounce, Richard. "Shaping Root Canal Systems: A "Real World" Case". Dentistry Today. Retrieved December 27, 2010.
- Patrick-Vaughn, Megan (October 12, 2007). "Endodontist relocates and shares his trade globally". Vancouver Business Journal. Retrieved January 6, 2011.