The study aimed to investigate the potential of undergraduate mathematics education courses [Computer-assisted Mathematics Instruction (CAMI) and Special Teaching Methods-I (STM-I)] for supporting special field competencies. The researchers assessed the special field competencies determined by the Ministry of National Education in 2008 and compared them with CAMI and STM-I's content in the official curriculum, which created by the Council of Higher Education and a public university in Turkey, and operational curriculum in the 2017-2018 academic year. The opinions of lecturers and teacher candidates and teaching process of the courses were considered in assessing the compatibility of the applications. This case study's data was analyzed through document analysis, descriptive analysis and frequency. The results revealed that the contents of official curriculum, prepared by the public university, included about half of the competencies and operational programs reflected approximately three-quarters of the competencies. All the competencies, addressed in the official curriculum, were included in the operational curriculum. All the competencies in developing mathematics skills and monitoring, evaluating, and improving mathematics teaching skills themes were explicitly emphasized in the operational curriculum. However, the competencies related to cooperation with school, family, and society were not addressed in mathematics education courses. The compatibility of the competencies differed by the data sources (course content and observation; lecturers' and teacher candidates' opinions). Besides, suggestions were made for competency and performance indicators in the competency field of planning and organizing mathematics instruction. Suggested competencies were (i) effective use of learning activities and in-class practices, and (ii) effective use of teaching methods and techniques.