Dr. Guntharp taught mathematics at the junior-high-school level and at the high-school level for eight years, in both public and private Christian schools. After receiving her doctorate, she was the mathematics specialist at Eisenhower National Clearinghouse for Mathematics and Science Education. She then taught for 11 years at Capital University in Columbus, OH. While there, she was in the education department and taught education courses, mathematics education courses and mathematics courses to pre-service teachers.
She served on numerous campus committees, including the faculty evaluation committee and the executive board of the faculty senate. Dr. Guntharp was co-editor of the Ohio Journal of School Mathematics for several years. She was on the board of the Ohio Council of Teachers of Mathematics and the Mathematics Association of America, Ohio Section. While at Capital, she was a co-PI on an NSF grant to develop and disseminate cross-curricular computational science coursework. She was also awarded an Ohio Board of Regents grant to develop a mathematics course for middle-childhood, pre-service teachers and she developed curricula and taught in-service teachers through a grant from the Ohio Department of Education.
She also developed and taught coursework with a physics colleague, Dr. Patrick Shields, to provide week-long institutes to in-service teachers. The institutes concentrated on connecting mathematics and science using technology. Dr. Guntharp and Dr. Shields taught the institutes in several different states. Dr. Guntharp has made several presentations at state, regional, national, and international conferences (including one in Greece) and she has published articles and book chapters and recently published a paper on the Ohio Resource Center Web site. She lives in Jupiter with her husband.